I'm particularly honored because I think I'm the only mathematician here. Presumably Christodulu was also supposed to be here, but he didn't come. So really, I'm really honored. Thibaut was very important to me, even though we did not collaborate on any paper. I always enjoyed coming whenever I would come to the institute. I had very interesting discussions with him. He's one of the few physicists who actually showed a real interest in what I had to say about problems in mathematical general relativity. So thank you very much. I mean, it's really a pleasure to honor you here. So let me remind everybody that we're talking about general relativity, the Einstein equations. I'll take the simplest case, which is the Einstein vacuum. Reach equal to zero. Initial data sets with constraints. The concept of maximum future global hyperbolic development, which was very much developed here in France, in particular by Bon Jovi-Blois and Geroch. So this is, of course, a picture. And of course, the most important thing in connection with my talk is that these equations admit a large family of stationary solutions. This is a famous care family, depending on two parameters. I will talk only about the case, reach equal to zero. There are also very interesting results in cosmological constant case, results again at a mathematical level by Friedrich and also Kinsen-Wassi more recently. A few words about mathematical general relativity since I'm, again, the only mathematician here. I should say something about what exactly we want. So first of all, a big theme in mathematical general relativity is to elucidate the mathematical structure of the classical general relativity. But not at random. You really want to connect it to interesting equations, which are central problems in general relativity, which are both physically relevant, but they also satisfy our mathematical sensibilities, which is very important for mathematical relativity, which is beauty, rigor and novel mathematical challenges, which is often something that maybe a physicist doesn't really care about. And of course, establish connections to other problems in PD and geometry and other parts of mathematical physics. In the spirit of this mathematical entanglement that I like to call, which means that mathematical concepts, so this is Wigner, said by Wigner, mathematical concepts introduced for solving specific problems that have unexpected, mysterious consequences in seemingly unrelated areas. Somehow, a problem that we are interested, sorry, a problem that we are interested in, are chosen also because of this possibility of interesting mathematical theories and interesting mathematical ideas have significance in other areas. So I will talk about stability of care, so the conjecture I guess is known by everybody here. You start with, so this is a picture of care and you start, so this is a black hole and this is a domain of auto communication, you start with an initial data set of care, of the specific initial data set and you look dynamically what happens for a large time and the conjecture is that you are going to converge to another care solution, not necessarily the same but another one. And the result that I want to talk about it is that, and this is work in collaboration with Jeremy Zepterki in France, is that the conjecture is true for sufficiently small angular momentum and I'll clarify what I mean by this statement in the fact that it's not completely, yeah, so first of all let me, sorry, before saying anything else let me mention some of the results in this context of the Einstein vacuum equation, the asymptotically flat solutions, also it's important to note the only results on stability at a non-linear level, so I'm talking about regular mathematical results on stability at a non-linear level is the stability of Minkowski in, which was in 1990-1993, so this is my work with Christodulu. And then it took quite a long time to get to stability of Schwarzschild and so this is again work with Jeremy Zepterki, so this was between 2018 and 2020, again we had different papers on this. It's under the assumption that, you have to make an assumption because if you start with a typical perturbation of Schwarzschild you may not go back to Schwarzschild, you may actually converge to a small A-care solution and there are lots of technical difficulties in the case of care which we wanted to avoid, so we look at the simpler case of stability of Schwarzschild in which case we had to make initial conditions which we call polarized, which ensure that the final state is also going to be a Schwarzschild solution. So that's what we did there and then there is a recent work by four people, so that's Daphermos, Holzegel, Rodjanski and Taylor who prove the same result in a more general setting where you look at the co-dimensions free of initial conditions which are not initially, you cannot initially specify, but you show that there exists a co-dimensions free for which you have stability. So in connection with the most recent work, we have a series of papers already, so this is 2019 with Jeremy Seftel, so this is something which is very, very important in the construction that I'm going to talk about it, is a construction of GCM spheres in perturbation of care. So this is one of the essential points in the stability of care result. So these are two such things, I'll maybe say more about them later. And there is another paper which I will mention in which we introduce a general formalism for the stability of care. And finally, this result, which is the most recent work, it still has a piece missing, in fact. So this is most of the steps necessary are in this paper, but there is still one which is missing, which is working collaboration with Seftel, myself and Elena Georgi. So maybe I'll mention a little bit later what that is, but we definitely believe that it's work in progress and we definitely believe it's true. So yes, the care family of solution is stable at least for small a. Now it's probably true also for the whole extremal case, but there is only one place in fact in the analysis that we have which really requires small a. The arguments really are not dependent on the smallest of a. Okay, so let me talk a little bit very fast about the general stability problem. So we look at, in general, you have a nonlinear problem, nonlinear PDE typically. You have a stationary solution, which is this one, and you make a perturbation, so you look at solutions of this type. There are three types of stability that usually you work with. There is orbital stability, in which case you show that size stays bounded. So you make a perturbation and for all time, size stays bounded. So in other words, you stay close to phi 0. This is very rare. It's for very, very simple equations that you can ever prove such a thing without proving much more, which is based on asymptotic stability. So here you show more. You show that not only size stays bounded, but actually goes to 0. So this is one of the, it's a case which would call asymptotic stability. But the more interesting type of result, which is what happens actually in the care stability, in the stability of care, is orbital asymptotic stability, which means that this perturbation converges to something different to another stationary solution. So you start to do this, you make a perturbation, you converge to something else. And that's exactly the situation in the care stability problem. You can see that by looking at linearized equation. That's of course what people, people always do at the beginning. You linearize the equations around the stationary solution. So these are, let's say, think of the Einstein equations here. So n is the Einstein equation. You take the linearization. You get a complicated system. And then because of the symmetries of phi 0, these equations have certain symmetries, which allows you to look at mode stability, to discuss mode stability. So you look at the compositions into modes and you show that every mode is stable. For example, you show that there are no exponentially growing modes. So this is sort of typically what physicists have done from the beginning. But of course, mode stability doesn't even give you boundedness of the solution at the linear level. And I want to mention to go from a linear to nonlinear, you almost always need decay, right? So it's not enough even to have boundedness. You actually have to have a quantitative decay, a way of measuring how the psi decays, which is of course consistent with the asymptotic stability here or orbital asymptotic stability, which is a little more complicated. So you need quantitative decay. So the problem is that typically there are zero modes. In other words, there are modes which are simply bounded, so they don't decay. So if you look for example at the linearized Einstein vacuum equations, there is a huge family of zero modes, which have to do with the symmetries. Well, first of all, the presence of a two-parameter family of solution, right? So you have A and M. You can differentiate that every... In other words, you can take a variation corresponding to the family itself, and that gives you a bounded solution. Or general covariance, for every solution of your equations, you can make a deformorphism. You make a one-parameter family of form, if you take the derivative, you get another bound. You get a huge family of bounded solutions, right? So this is a situation where you have huge kernels. So you don't typically have... I mean, you don't have quantitative decay for all modes. You have to have bound and you have to obviously separate the two, okay? So the hope is of course that all these zero modes correspond to the fact that you don't converge to the original phi zero, but you converge to something else. Of course, this involves only two parameters here. But there is something else which is of fundamental importance when you do the issue of stability, which has to do with decay. Decay is a gauge-covalent fact, right? So you prove decay relative to something in a given coordinate system. So you automatically, if you have to prove something like this, you also have to find the right gauge. So it's not just finding the final parameters. You also have to find the correct gauge conditions relative to which converges takes place, okay? So that's sort of the... Maybe I would say in just a few words, it's maybe the main difficulty of the problem. So relative to formal mode analysis, I go very fast over the history. So there is a metric perturbation analysis, which was done by Reggie Wheeler even in the late 50s. This is done at the level of the metric. So in other words, you do perturbation of the level of the metric. There is this Visha Vashar Zeriri. And then in the Neumann-Penrose formalism, when you actually look at curvature, there is the work of Tchaikovsky and Press Tchaikovsky, but in Press, which are related to this issue of showing that there are no exponentially growing modes. You can have bounded modes, but there are no exponentially growing modes. And there is also something very important which plays a very important role in this story that I'm talking about. There is a transformation discovered by Chandrasekhar that connects these two theories, and it was also continued by Wald. It shows you that somehow the main equations that you derive here, or the main equations that you derive here, you can re-derive equations which look like this one, starting with this one, or vice versa. So in particular, what's important for us is that you can start with these equations and you derive equations which are regular. It just so happens that the regular equation are better in terms of analysis. If you want to get quantitative decay, as I mentioned, it's better to work with, at least in certain aspects, is better to work with regular. On the other hand, the formalism is much better at the level of Neumann-Penrose. So you are stuck somehow with this. The equation which I'm going to talk about, which is a Teokolsky equation, is not that good from the point of view of the analysis, and you have to go to this one, and this will sort of put these two things together, it allows you to really take advantage of both theories. So the full mode stability was done by whiting. So again, this is at the level of mode, so this is more or less what was done in the golden era of black hole physics. Obviously, the story, I mean, lots of interesting ideas, but the story is far from being complete. So what was missing is obviously issues of boundedness and decay. Just boundedness of modes is not enough to even prove boundedness of solutions, of all solutions of the linearized equation. So here, there have been a lot of very powerful messages, which are this time by mathematicians. So this is where mathematical generality comes into play. There is a message to have to do with Minkowski space, which go back to Moravets, myself, the so-called vector field method, and stability of Minkowski, which was this work of Christodule and myself. And then, so this was sort of a big story, which was kind of finished in the early 2000s after stability of Minkowski space. So the new things were to study wave equations, so very simple wave equations on black holes and actually prove again, prove decay, boundedness and decay. So this is work of many, many people. So I mentioned here, software is starting with software and blue. So software blue, I mean, blue software, sorry. Fermos Rodianski played an important role, many new ideas, which played an important role in the analysis. This work here for, so this is in the case of Schwarzschild for care, which the situation is much more complicated. There are very important work of Fermos Rodianski, the Taruto Honianu and Anderson Blue. In particular, Anderson Blue is something that I will mention because it plays an important role in my work with Jeremy and Elena. Scalar wave equation all the way to the extremal case. So this is work of the Fermos Rodianski and Schlappeter-Rodman. It's very important, but it's very much based on multi-comp... It's not just the vector field method, it also uses very strongly. In fact, this one, these two here, also use the modes together with vector field methods. It's only this one that does not use multi-composition and that's the one that is relevant to our work. Linear stability, of this equation, in the case of Schwarzschild, this was a very important work of the Fermos Rodianski. And then in particular, these works have to do with part of linear stability. So again, it's linear stability in the Neumann-Prenzl picture. It's works of Ma, the Fermos Rodianski. So this is a linear Teukovsky equation, which is maybe the most important wave equation part in what you have to do to prove stability in the linear case. And then there are some other more recent works on linear stability of Kerr for small a due to Anderson, Bagdal, Blu and Ma, Hintz and Vassi. So, of course, none of these results necessarily generalize to the nonlinear stability. So to go from linear stability to nonlinear stability, it's a huge stretch, right? I mean, but all these ideas are important. In fact, everything developed in this slide is very important in our own work. So for nonlinear stability, as I said, you need gauge condition which have to be dynamically defined. You cannot define them at the beginning. You cannot impose, this is what people always do, but it doesn't work. You cannot impose gauge conditions at the beginning and hope that they are the ones that will work in the end. So you constantly have to redefine your gauge condition dynamically. You need, of course, a mechanism of defining the final state. So the same thing, these parameters, AF and MF, you cannot define them at the beginning. You actually have to work hard to get them. The issue of the gauge, you need decay. And of course, you cannot only expect to have decay relative to a specific gauge condition, as well as a specific coordinate system if you want. Here are some examples of some very simple equations, like sort of just a scalar wave equation with a nonlinear term on the right-hand side. In general, quadratic nonlinearity here in three plus one dimensions are not stable. So the solution says equal zero is not stable. However, and of course, the vector field method plays a very important role in this analysis. However, if the null condition is verified, so there is a structural condition on the nonlinearity, which turns out to be very important in stability of Nikolsky and also in stability of these care black holes in the nonlinearity. If that condition is verified, then you do have stability of the zero solution. So that was an important step understood in the 80s, essentially in the 1980s. So there is this null condition, which you hear all the time in mathematical relativity plays a very important role in many, many things. So this... Yeah, I mean, again, this is the sort of thing that I mentioned when I talked about mathematical relativity that you work on a problem, you find something interesting, but it turns out that the same thing, and by the way, the vector field method is the same, the same things are important in many, many other problems. All right, so... And of course, you also need what is maybe the hardest thing of all, a strategy to this integral of the nonlinear interdependence of all these things, right? So there are many, many things that come together, and linearly, they are disconnected, but in nonlinear theory, they all are intertangled. Okay, so stability of Minkowski space I mentioned. I want to talk a little bit about the framework, because this is the kind of thing that it's different, the framework that we use is slightly different from what is used by physicists, which is the Neumann-Penrose formalism or variation of the Neumann-Penrose formalism. So I want to say a few words about it. So, like the Neumann-Penrose, you start with an alpère, which is E3, E4, normalized. You look at horizontal structures. So this is the important thing that we do. Instead of choosing specific frames, which are perpendicular to E3, E4, which are the spin frames and so on and so forth, which is done in Neumann-Penrose or variation of Neumann-Penrose, we take this horizontal structure seriously. So we keep it geometrically. It's just a horizontal structure. We don't need any particular choice of EAE2. So, for example, now I can define now second fundamental forms of the horizontal structure in the usual way. Well, there should be a B here. So we take DAE4EB, where EAEB are any frame on edge. So I don't need to take a specific frame. So this define kappa, kappa bar. And now the important thing is that if this horizontal structure is not integrable, which is a case of care. So in care, it's very important this natural horizontal structure is not integrable. Then these things are not symmetric. And instead of having just the trace of the second fundamental form, which are usually called expansions in relativity, you get what I call the asymmetric trace, which corresponds to the asymmetric part of chi, the same thing for chi by AB. And these are the only new components. All the other components, in fact, are written here, are very defined exactly in the same way as in stability of Minkowski's space. But again, it's relative to this horizontal structure. In that case, the horizontal structure is integrable, and here it's not. That's the only difference. So somehow the equations become more complicated because of the presence of these two. Integrability is nothing else but the fact that these two are zero. And now, again, also, of course, define curvature components. So this is very similar to what's done in Neumann pentals, except again that these are two forms. They are not scalars. I never get scalars. And in fact, it's terrible to work with scalars in nonlinear stability because you have to do a lot of differentiations and you get a mess with the frame. The frame is not particularly very good when you have to make certain choices. So the point of this is that I don't have to make any choice of horizontal frames. And therefore, I define this as a two-form, this as a two-form. So this is the usual psi, I guess one is psi zero, one is psi five, maybe in the Neumann pentals. But now there are vectors. Sorry, there are actually tensors. Two tensors, they are symmetric because of the symmetry so far. It turns out that you need to complexify to get the equations to be simpler. Complexification is now very important. Of course, complexification also plays an important role in Neumann pentals. So you define complexified quantities and then you get the usual Cartam-Bianchi equations, which are like this, but of course you have lots of them of course. So the comparison that I made is with my work with Christodulu where we use the thing, but again, in our case, horizontal structure was integral and here it's not. And of course Neumann pentals, that's a usual formula until now I think everybody was using or variations of the Neumann pentals. The care family, of course, I recall very fast. So this is in Bore-Linquist coordinates. You have the t and r coordinates theta and phi. You have these terms here, which are expressed in terms of t, r, and t, theta. And here is a picture. Care is, of course, stationary and axisymmetric. In other words, it has dt as the kinetic vector fields and z is d phi as the kinetic vector field. And again, I mean, this is a story that we want to understand what is the stability of the external part of the care family, of the care solution. So now the important thing about care is that you have a principal null frame. It's known as principal null frame, which has expressed the t to Bore-Linquist coordinates. It looks like this. And the crucial fact is that this quantity is a bar. So these are the curvature quantities and they are all zero with the exception of the middle one, which is equal to minus 2m over q cube. So q is exactly the r plus a equals 90. But I guess I had it before. Yeah, this is what it is. Okay, so in addition, you have that a lot of components of rich coefficients are also zero. They are chilled. And this is important, of course, that this pair is actually integrable. So in other words, the horizontal structure is integrable in this case. Also the imaginary parts of this a-trace-kai, a-trace-kai bar, of course, zero. And also the imaginary part of p is also zero. And finally, in Minkowski, you have all the curvature components are zero. And you can see why stability of Minkowski was the easiest, because it was very hard. Stability of Schwarzschild was much harder, and stability of Kerr is even harder. So I want to give you a sense of perturbations, because this plays an important role. You see, obviously, you want to pick up a particular frame. So let's assume that we have an horizontal frame on Kerr, which is such that it's close to the one of the real Kerr. So how do you measure this? You take the gamma and the R of your perturb solutions and subtract from it. Of course, you have to know what that means, how to subtract. You subtract the Kerr values. For that, of course, you have to have these functions, r and theta, defined, so that you can compare. But anyway, this is something that, in principle, you can do. And obviously, you want an epsilon perturbation. So let's assume that this is all of epsilon. Now, the problem with this, of course, as it's very easy to see, is that this very much depends on which frame you take. So, for example, if I give you a frame e1, e2, e3, e4, e3, e4 being the null pair, I can perform a transformation to a new pair. I can make an exact transformation, in fact. It's not too difficult, which looks roughly like this, with f, f bar, and lambda being like this. So they are all of epsilon. This is, lambda minus 1 is all of epsilon. You calculate this, and then you look at what happens with the new curvature components in the new frame. And you see they are also all of epsilon, so you haven't made any improvement. With the exception, and this is remarkable, with the exception of the a and a bar, the extreme curvature components, which are all of epsilon's going by. And so this is essentially, in essence, the discovery of Teukovsky. So Teukovsky really just observed this fact, that they are all of epsilon invariant, and they verify wave equations, which again, it's pretty much connected down. Okay, sorry, a problem chest. All right, so I will have to go fast. So this is, these are the Teukovsky equation. So it's an equation for a. In a perturbed spacetime, you have error terms. And here is a transformation, Chandrasekhar transformation, that allows you to go from this equation to something that looks more like a regi-wheeler equation. Now, if a is 0, which is the case of Schwarzschild, this is a little bit easier. By the way, the first transformation of this type was done by Daphermos Rodjanski and Holzegell, Daphermos Holzegell and Rodjanski. In the case of Schwarzschild, where m, y is equal to 0, in that case, you get exactly the regi-wheeler equation. Otherwise, it has these additional terms here, and we call it generalized regi-wheeler equation. Yeah, unfortunately, I'll have to go very fast. Okay, so let's strategy, talk very fast about the strategy. Expect to be able to treat a using Grw. So, okay, so the point is that you look now at all possible components that you have of the perturbed metric. So a and a bar are these extreme curvature components, and they are essentially all 5-synons in perturbation. So you separate them from everything else by the fact that they verify this good equation that I mentioned earlier, the Stelkovsky equation. Of course, you have error terms. So in that equation, you obviously have error terms on the right-hand side. So error terms depend on everything. But they are quadratic, so that makes it a little bit easier. In fact, these terms, you treat them sort of similarly to the way they are treated in the Stelkovsky space. You use a null condition and so on and so forth. Because normally, you'll have instability. But the structure of the Einstein equations allows you to really, in principle, control those terms. Provide it, of course, that you know how to control every component, gamma hat. So you have to control these two components and then you control the quadratic terms by the null condition. So now the point is that this a, a bar are quasi-invariant because they are all of epsilon square invariant. But the other quantities are not. They are all of epsilon. So now everything else depends on specific choice of coordinates, or specific gauge choices. So we set up a continuation argument based on a family finite of GCM admissible space-time with specific bootstrap assumptions which we recover at every stage. And maybe this is the last slide as I will be able to do in the next two minutes. So let me try to explain it. So you see, you want to construct your space-time starting with initial conditions. It's not too difficult to show, so these are results of Nikola and myself, which are based on technology of stability of Nikovsky space. It's not too difficult to show that if you start with a space like hypersurface, you can construct the space-time in a way to this kind of... So this is almost like a null hypersurface. It's not null. In Schwarzschild it would be exactly a null hypersurface, but this way it's time-like really, but it becomes asymptotically null. So in principle you can imagine that you have data set given to you in a layer, in a boundary, in an initial data layer, which looks like this. So I know the space-time here, it's constructed by techniques which are well known from the initial data. So anyway, the data is given here in the boundary layer. Sorry, but the boundary layer, you should think about it as being a smaller region like this. And I extend my space-time region to something which looks like this.  Which I want by a continuity argument to go to infinity. So in particular, for example, this space-like hypersurface here will become SkyPlus. So everything will move towards the picture at infinity. Now, in fact, maybe I can show the picture at infinity. Let's see if I have it. Yeah, so this is the final construction it's going to look like. This is where you pushed everything to SkyPlus and you have a SkyPlus which is complete. So the point is how do you construct such a space-time? So the fundamental importance, and that's the one that's connected to this coordinate that I've been talking about all the time, is the Sigma star. So this is the one that I mentioned will go all the way to SkyPlus. So this is where we impose G-CM conditions. So these are general covariant-modulated spheres or hypersurfaces. This is the hypersurface. But the hypersurface itself starts with this star which is just a sphere. At every stage in the continuity argument, of course you have to push the space-time further and further and you have to reconstruct the surface as star and the hypersurface Sigma star. And this is maybe the most delicate part of the construction because the way you construct this as star is by imposing a certain number of conditions which is exactly connected to the numbers of degrees of freedom that you have in the Einstein equations. So that's where you use a full covariance of the Einstein equations in order to set these conditions here. And then similar conditions, there are additional conditions which are on Sigma star which I obviously will not be able to talk about. Once you have this constructed, everything else is constructed by transport equations. So you transport the equation this way and then you transport the equation in the opposite direction going this way. And then there will be a region here because these are time-like hypersurface. There is a region here which is actually quite small and you can treat it by the local existence here. And the spacetime, as you see, is constantly being upgraded. So, and also important is that the axis mass and angular momentum of the final spacetime is determined on a star. So it's in your choices of a star and coordinates of a star, you use a uniformization which we call an effective uniformization which is uniformization results for the sphere are usually not unique, but there are certain ways of making that unique.  But the most important thing is, of course, this is a star which you are constantly readjusting. So as a consequence, you are constantly readjusting also this notion of axis of symmetry, the A and M and so on and so forth. So this is a final result, the initial data layer that I mentioned which is here and you construct a spacetime which goes all the way. So as I said, the result is not entirely finished because there is this remaining part which... So there is a very natural separation between the major part which is already in our paper and a second part which is just essentially on proving estimates for the generalized Teukovsky equation which we also think we have it, but it's not your part. So this is our stop. Other questions? What are you doing? Okay, so I've seen you first. Can you obtain an expression for the final angular momentum? No. Final mass in terms of... No, no, no. I mean, in principle, no, you can't. I mean, everything is done by a continuity argument and you're constantly readjusting everything so it's very hard to trace it back. Can you bounce over some... Oh, yeah, bounce. You certainly can, yeah. Bounce in terms of the perturbation, yes. Absolutely. And also, there are other things that you... There are other things that you... some monotonicity things maybe... There are some qualitative things that you can determine. But not a formula. Okay, yes. No question. It's a more general question than the specific problem of general relativity. Can you show us with the example of the... the scale up? Yeah. That linear stability is not sufficient to ensure... Non-linear stability. Non-linear stability. But is it nevertheless necessary or there's nothing... Oh, yeah. Well, yeah, linear stability, of course, is an important one. But what you mean by linear stability depends on somehow what you want to prove at the end, right? So you have to have... At least that's the way I think about it. You have to envision a certain type of proof and then somehow you linearize and... I mean, at least conceptually, you never... In our proof, we never linearize anything. We just conceptually... We do something which conceptually looks like a linearization, but we don't linearize anything. Now, I should say, for example, in answer to your question, stability of Minkowski's space at a linear level is totally trivial, right? It's just a way of a question. And yet, it took us about 550 pages to prove it. So it's a huge difference between linear and nonlinear. The definition... Oh, yeah. But you need... Transition or... Yeah, yeah, yeah. You definitely need linear stability. What I'm saying is that how you define... There are many types of linearizations that you can do, right? And depending on, you know, some are maybe not as good as others. That's what I'm trying to say. I'm sure that as a physicist some combination idea may be a meaning. Yeah, I mean, sure. I mean, definitely, you as a physicist, you should continue to do whatever you're doing, because it's great that we have all these insights. And I think it's extremely important to have all these insights. But in the end, obviously, there is more to this issue of passing from linear to nonlinear. But if you have a linear instability, which is mine, like just power of law, and if you had strongly nonlinear things that kill them when they become large, it would be... It would be okay, but I don't know. Do you have an example of this? I mean, where you can actually have... You specifically have something which is growing. Yes. A mold which is not bounded, but growing. And yet we... I actually hate trying to... Do you do something like this? Ah, okay, good. So, yeah. Yeah, no, that's very interesting. Of course, bounded is okay, right? As we saw, you can have bounded modes, and you are still okay. But growing modes, I don't know of any example yet. Okay. I would say no. In principle, I would say that you don't have. Unless there is something really miraculous happening. So, if we go beyond the horizon, do you think that the inner horizon will be replaced by the singularity and probably the space-side singularity doesn't even make sense to ask the question mathematically? Yeah, yeah, yeah, absolutely. I mean, there are people who work on this. What happens beyond the horizon. So, for example, there is a very important work of Jonathan Luke and Daphermus. Exactly on the issue of... So, you take the horizon of the care solution, you make a perturbation of it. Now, the perturbation, obviously in principle, it has to be connected with the perturbation from a space-side, but somehow, if stability of the care is done, then you would think that you know what the reason of the perturbation of the horizon that you can make. So, you start up with those perturbations and you show that either you form a space-side singularity in the future or on the country, you stay null. And, in fact, they show, at least in perturbation, when you make this small perturbation of the care horizon, you stay null. In other words, the singularity is stay null. So, there is a stability, in other words, of the Cauchy horizon. So, it's called... Well, right. They cannot prove that it becomes singular, but it stays there. In other words, it's stable, at least in the kind of perturbations that they have on the Cauchy horizon. But the belief now is that the Cauchy horizon is stable in perturbation starting from care. So, for the initial data, do you always consider the data on a space-side surface or, I mean, sometimes maybe a time like to work you around the source, something like that? Well, that's very ill-posed. I mean, from a mathematical point of view, that's a no-no. It's very, very ill-posed. The Cauchy problem outside is ill-posed even for the wave equation. So, if I just take the wave equation in Minkowski's space and I set up initial conditions on the cylinder and I look outside, that probably is ill-posed. I mean, for example, a space-side surface and then running... Oh, it was boundary conditions, you mean. It was boundary conditions. I mean, there are boundary conditions that you look outside, right?  Yeah, I mean, you can certainly ask that question. Yeah. But that's not the initial value problem, of course. I mean, you cannot put the initial value problem on a time-like surface. Okay, that's another question. Yes? My question is actually not so much, I mean, only restricted to the rotating case. What can you say about space-times and dimensions different from before? Well, so the belief is that... Okay, so there is a lot of linear... There are many more solutions in higher dimensions, right? There is a PERI and I don't know about the ring solution. Anyway, I don't... I never worked in higher dimensions, so I can just refer to the fact that there are linear stability results in that case. Both stability and instability. So some of the things are unstable. I think the ring solution is unstable, right? Minkowski's space is shown to be stable in all dimensions. And Minkowski's space is in all dimensions, and it's easier. The higher the dimensions, the easier it becomes. Yeah, right. Yeah, it's much easier in higher dimensions. So, for some reasons, 3 plus 1 is the critical one. There's nothing that singles out 4-dimension in Minkowski. Nothing that singles out 4-dimension? 4 plus 1, you mean? 3 plus 1, I mean. 3 plus 1, it's singled out, right? Well, I thought it was stable in there. Well, it's singled out because it's... It's complicated. It's complicated and you have... Stability, stability... I mean, we have no linear stability results of black holes. I mean, this is pretty remarkable. Yeah. And in higher dimensions, I don't know. I mean, I'm not sure. Be careful. Again, yeah. So, you can ask, of course, the same kind of question. If you have linear stabilities, then maybe you hope to have also non-linear stability. I presume that's true. Yeah. Are there further questions? Yes, there's another question. Yes. I don't know if it's a question for you, but you mentioned that you cannot fix the gauge from the beginning, you have to adapt it. Yes. Wouldn't this be a problem also when you do numerical simulations of the other? It's a good question. I don't know. I think it's probably people do something like this, right? I don't know. Yeah. Yeah. Right. But I guess you make probably a finite number of adjustments in that case. Right. It is evolved during the evolution. So, you actually continuously evolving? Okay. So, then that's quite similar. But that's, yeah. There is one, excuse me, just one thing. So, there is maybe one difference. So, I guess you allow it to evolve starting from the initial data, right? Yes. Right. So, here it's very, very important to think that you are coming from infinity. So, you are always adjusting at the last boundary, so to speak. Right. So, you are adjusting in a sense from infinity. Good question. That's why we talk about this layer. Right. So, yeah. So, you have to compare that itself. You get new data coming from infinity and you have to compare with the other. That's a tough part, in fact. Actually, it's not easy. And it can be relatively large deviations, in fact. So, from your initial data and the one that you come from infinity, there is a large deviation, which presumably corresponds to, I don't know, something physical, right? There is a boost of the black hole. Yeah. So, you said at some point that there was only a small part of the tooth where you had to constrain two small speeds. Yeah. It's easy to explain where it comes from. It's because of the trapping. The trapping makes life very complicated in terms of getting estimates for the Tukolsky and the disgeneralized Regi Wheeler equation. So, it's a technical issue, but, of course, it's an important technical issue at this stage. So, people can... So, this has been solved in linear theory, however. The issue has been solved in this work that I mentioned by... No, I don't understand. I don't understand. It's still for small a. No, this was still Holzegerl... I mean, Daphirmus Holzegerl-Rodiansky and Ma... Sorry, no, excuse me, and Jakov Schlappent of Rotman. I'm sorry, I'm kind of tired. Jakov Schlappent of Rotman, they treat the case of this Tukolsky equation. So, it bounds for the K and bounds for the Tukolsky equation in the full sub-extremal case. But they use very, very strongly the structure of the care solution.  So, in conversion of care, it's much more difficult and we'll see how it... Yeah, I suspect that it will be done in the next five years, yes. There's an online question. Maybe... There's a question online, which is... Ah, there's a question online. Can you give it free? Well, I can try to read it out. Yeah, I don't know whether we can ask the person to unmute and ask it. Yes, that is my question. But maybe it's easier if I read it out. So, the question is whether Minkowski's space-time is stable against De Sitter's space-time. I'm just reading, I can't give more information. But the question is especially... But they see that space is really the case of non-zero cosmological constant, it's not really here at all, right? So, it's a totally different story. There are other results. There are many results. Hints and varsity have interesting, very beautiful results on that case. But it's easier, usually, when you have positive... So, this kind of stability problems are a lot easier if you have a positive cosmological constant. They become much harder if you have a negative cosmological constant. That's a different story. Yeah, they're instant stable, right? Exactly. Then you have answered all questions. Thank you very much. We'll see you again. Thanks.


Today I'm going to be giving you 12 of the most trending items that you can sell for your print on demand business.  So to help you out with that part I'm also going to be giving you a link to a folder to download some images you can use for your print on demand products. All of these images are high quality so they're going to be able to be used for pretty much any one of these and if you want access to that all you have to do is just stick around a little bit. Sometime throughout this video I'm going to give you a hashtag and a comment to be able to drop it down below so I can link you to it. Not all at once. Stay tuned. Alright so first up on our list is going to be a magic mug. Now this is similar to just a regular mug except it has one really cool feature and that's the fact that it starts off as completely black but then once you start to pour some hot liquid in it it's actually heat activated so it'll reveal the image underneath. It's something really cool it's a pretty unique product and the best part is that it's actually not that expensive to source so as you can see right now on our AutoDS dashboard it's simply costing $7 and our shipping is a little bit more it's going to be $10.24 so ultimately we're going to be paying $17.24 but one of these you can easily sell between 25 to about $35. The cool thing about this is the fact that it has that wow factor it has that magic heat activated effect to it so because of that you're able to sell it for about double the price. Now if you don't know yet AutoDS actually has an entire print on demand section with all of the hottest items on there for the print on demand business so if you're not signed up for AutoDS just yet you can sign up for just $1 for the next two weeks and not only enjoy some of the best print on demand products but also some of the best and hottest dropshipping products so that way you can expand your business. Now moving on to our second product this is actually my favorite one and it always has been ever since I started in the print on demand business and that's hoodies. Now why do I love hoodies so much? Well simply put hoodies can be sold at some pretty high prices so typically you can easily sell a hoodie for about $59.99 on average that's about retail price. Now the good thing is that to source these it's actually a lot cheaper than that so to source one of these for a simple front print hoodie which honestly that's what I recommend you can print on the front and the back but it's always going to be cheaper if you just print on one section but if you do print on both sides you can always charge a little bit more but just taking for example a basic hoodie with a simple front or back print you're going to be paying about $16 now on top of those $16 on average you're going to be paying about $8 for shipping so let's do some quick maths with our calculator because sorry I suck at math so let's go ahead and add 16 to 8 so right now we're going to be sourcing our product for about $24 now I said that we can sell these for about $59.99 so let's do $59.99 minus $24 so with a hoodie we can make a profit of about $36 that's pretty good for just one product now to sell one of these even easier you can easily just drop the price by 10 or $15 and instead of making a huge $36 profit you can still make a $20 profit and that's still pretty good remember at the end of the day we're really not doing anything with any of these items we're not shipping them off we're not doing any manual labor we're not printing them really all we're doing is not even rerouting our orders because Autodesk is doing this for us all we're doing is simply coming up with more designs and slapping them all on as many products as we can think of of course we need some compelling high quality images which to get that hashtag you still have to wait a couple more products so just stick around now next up on our third spot we have baby onesies now like I always say on this channel people are never scared or they don't hesitate from spending money for their kids comfort or for them to look their best or be their happiest so because of that people are always buying different types of onesies for different types of occasions you can have different onesies for Christmas for birthdays for different holidays like Easter or Halloween and with that also comes repetitive purchases why because kids outgrow things every single month so if a parent bought a onesie for the child a year ago one year later it's not going to fit them so because of that they're always having to purchase more and that's what makes baby onesies an extremely lucrative and every green product all right number four your basic t-shirt so who doesn't love t-shirts and realistically speaking who doesn't wear t-shirts t-shirts are the foundation of print on demand this is where print on demand got started with t-shirts and again everyone loves t-shirts everyone's always buying different kinds of t-shirts whether that be for any particular event or a particular design that they just like now one of the best places you can start selling your t-shirts is hands down going to be etsy etsy is one of the best places to sell your print on demand products with t-shirts being at the top three now with t-shirts you're going to be having a few different brands but for the most part you can get away with gilding now gilding is going to be one of the most common and widely used t-shirt brands out there now because of that they're also going to be one of the cheapest ones as well so when it comes to print on demand always try this look for this one the g5000 this is going to be one of the gilding basic t-shirts now printed this is going to cost you just seven dollars and fifty cents of course that's going to be just a front print if you add a back print or if you go up in size to something like two or three excel the prices can vary a little bit but that's okay because you can always charge a little bit more for that as well so we're running seven dollars and fifty cents and our shipping price for standard shipping is going to be about five dollars and twenty four cents now t-shirts typically are going to be sold for about twenty five dollars so let's do some math again so seven fifty plus what do we say five twenty four so we're going to be paying about twelve dollars and seventy four cents per shirt so if we sell these at twenty five dollars we're going to be making about twelve dollars and twenty six cents per shirt of course this does not include things like our different types of fees but for that we can always average out between six to about ten percent depending on the marketplace we're selling on now as a pro tip when it comes to offering different types of t-shirts try to get into niches that people purchase multiples of what do i mean well people like to buy a lot of different shirts for a particular event so let's say for example a baby shower people are going to purchase team blue or team pink t-shirts and they're not just going to buy one or two they're going to buy quite a few because a baby shower is an event where everyone's going to have their own opinion or their own preference so they're all going to wear it this is very common practice and this is something that you're always going to see take for example a birthday party you're going to have a lot of people wearing t-shirts that say mom of the birthday boy dad of the birthday boy cousin grandma uncle auntie pretty much every person in the family can have a t-shirt for the birthday person so that's what i mean when i say offer t-shirts that people purchase in bulk or people purchase multiples of of course you are going to have to have different types of designs for these but don't worry you can always source some of these designs off of etsy etsy is a great place to find different designs and best part is you can also get design bundles where you get not just one design but multiple all right next up we have everybody's favorite morning piece and that is a tumbler so specifically a coffee tumbler or a 30 ounce coffee tumbler now the reason i'm saying specifically a coffee tumbler is because that's pretty much what these are going to be used for most of the time a lot of the times people always use these for cold drinks as well but for the most part i've always seen these and i personally always use these as tumblers for my coffee now this is a 30 ounce tumbler so this item comes in at just 17 dollars and 99 cents and to make things even sweeter it's actually got free shipping so you're not going to be paying for shipping and you actually have pretty quick shipping which is going to be between two to nine business days now if recent events and recent trends have shown us anything is that people are not scared to shell out about 40 to 50 dollars for a cup talking to you stanley well because of that that actually proves the fact that people will typically pay between 30 to 40 dollars for one of these tumblers and it doesn't have to be a brand name stanley cup me personally i've always sold 20 ounce tumblers and i've always sold them for 30 on etsy and they always sell granted you need to have the right design you need to have something that's attractive and something that people just simply like so don't be scared to offer your tumblers at premium prices between 30 to 40 dollars don't be scared don't think that people are going to say who do you think you are stanley well everyone is doing it everyone's selling their tumblers between these prices and people are still buying them so don't ever be scared to overcharge but of course don't overcharge by like double or triple but you can match prices of the big brand sometimes let's just go big phone cases are up next and the beauty about phone cases is that you're always going to have repeat customers for this granted that you have high quality products and high quality images of course but a cell phone every single year a new version comes out and half of the population every single year get the new iphone or the new android the new samsung or the new google pixel personally i go with google pixel i love them i've always been team android but beside the point so cell phone cases are a huge seller again new phones come out every single year and every single year they're a lot more expensive and a lot more fragile like look at this this feels like pure glass if i drop this it'll hold a few drops but ultimately it's gonna end up cracking and i don't want that to happen to my thousand plus dollar investment because let's face it at this point a phone is an investment is a good investment oh it's a great investment so the price is going to vary depending on the brand of the phone that you're going to be selling these cases for but for the most part you're going to be paying about nine to ten dollars for them and best part is you get free shipping so you can charge a little bit more for this so you're going to be paying about ten dollars for this you can sell them for about nineteen ninety nine to twenty five dollars so you're going to easily be making a profit of double two just a little bit over double so ten to fifteen dollars now next up we have a pretty unique product and that's going to be a sunshade so i haven't seen this on many other print on demand suppliers but without a ds you can customize sunshades for cars now one really cool way that you can do this is add something like eyes so you can make one of these designs you can add eyes to it so it can look like the cars have eyes whether they be sleeping make it something funny make them bloodshot whatever it may be and to market this all you have to do is leave your car in a parking lot put up the sunshade and take a couple videos of it that's going to attract an audience as long as you can put some sort of trending audio over it something that's relatable or something that's relevant to your design people are going to take notice they're going to like the video and they're going to start sharing it around oh that's right i almost forgot we have that folder with those designs that i promised you now if you want access to that all you have to do is just go ahead and drop a comment down below with the hashtag po d and let me know which one of these po d or prints on demand items is your favorite let me know down in the comments below and also let me know whether or not you've tried prints on demand before do you like it what do you think of the business model i'd love to hear your thoughts next up we have home decor items in particular a canvas print now i love canvas i love how it looks i love how it feels and i think it adds a great touch to any room so because of that i started offering some different prints on demand canvases on my store as well there's tons of different designs that you can use for something like this and really you can use almost anything you can even personalize these with people's photos and honestly a lot of people are really gonna go for these canvas prints if they're customizable if they can add their own pictures to this so they can hang in their office or in their house now let me give you a quick pro tip for pretty much any one of these items you don't just have to sell these online you can actually sell these locally too so set up your store and if you're able to let's say you have your own Shopify store set up a separate section for customers so you can put a customer login page or something along those lines where you reach out to different customers and if they get back to you and they tell you that they're interested in some of your products you can tell them what you have to offer and you can actually mock these up for them to show them so that way they can make a purchase so if a customer is interested in your services if they want to purchase something custom from you have them send you a picture the picture that they want to add to their canvas print let's say now with that you can go ahead and upload your picture to AutoDS you can create a mock-up and you can create your listing now in that customer section you can add this particular listing and add a few other relevant products as well for example something like this a metal print so the same image you use for a canvas you can use that for a metal print because at the end of the day this is going to be an art piece that's going to go on a wall now i wouldn't necessarily offer let's say a t-shirt with the same design that somebody wants to put on a poster because a lot of the times it's not really going to fit in with that t-shirt very well you always have to pick a design that goes well with the product so let's say a photograph while some people don't mind putting photographs on t-shirts other people don't like that because it's going to be used it's going to be abused it can be eventually ripped and people aren't really going to like that because you have something sentimental on there like a photo something like this would be better to put on a wall where it can be admired so try to offer relevant products to the design that you're receiving so put up those different listings put up those different products with the design or the image that they send you and then send them a link to that shop you can give them a password to sign on or just give them a webpage they can go to to check out the different products and then they can just check out from there now this might seem like a little bit of extra work but trust me customers don't mind paying for custom items especially if you're offering it to them and you're talking to them and showing them everything that you have to offer okay so next up we have more of a niche rather than necessarily products but this is going to be holiday products or the holiday niche however you want to put it but any product that has to do with holidays right now i'm going to show you a few different products that you can use for Christmas so first off you have things like ceramic ornaments so you can have a few different shapes as well so you have this one which is a star you have a heart and you have a circle and you also have this one which is a bell so the cool thing about these is that you can print whatever design you want on it and the same image that you put on that poster that i talked about earlier you can put on something like this this could be a relevant product of course given that the holiday season is right around the corner but not just different types of ornaments there's also different types of products like let's say this stocking so you can also customize different types of stockings and you can sell them alongside the ornaments as gift sets now you remember how i've been talking about t-shirts and hoodies and i've just been talking about printing on either the front or the back well up next we have fully printed apparel this is one of my absolute favorites because for one you can charge a good amount of money for this and two you can really stand out with these types of products so with fully printed apparel you can literally print on the entire thing take this hoodie for example if you can see this right here everything is beige and it has these little auto ds dashes on it when you see that that means you can print on the entire item or the entire product so you can print from all the way at the top of the hoodie all the way to the bottom of the sleeves the entire back all the way down to the bottom of the garment itself take these shorts for example same thing you can print on the entire front and the entire back and same goes for all of these different types of products especially this cloak this cloak is actually my favorite which i'm pretty sure if you've seen some of the other prints on demand videos i've shown this to you before so you've probably seen it but i actually have one myself it's not as big as the one that we're offering at auto ds which to be honest with you i might end up upgrading to that one because this is getting kind of small but just so you all know this is actually a great product and this is something that i'm giving you right now as a total bonus all right and last but certainly not least this is my all-time favorite product that you can fully customize and it has to do with the apparel niche and that is fully customizable footwear i think it is absolutely amazing that we now have the ability to fully print on shoes you can print on the entire shoe in particular my favorite one has to be these right here it's a style of shoe so the fact that you can print on these shoes i think is absolutely amazing you can print on the whole front you can print on the sides the only thing you're not able to print on is the rubber soles but that's totally fine because you don't really need to do that you can just keep your design over here and it'll look great now we all know that shoes are some pretty high ticket items and if you can offer these as custom shoes to somebody you can easily sell these for about a hundred dollars especially given the fact that when they're printed they're going to be professionally printed all the ink is going to be on there perfectly laid flat it's going to have the perfect print it's not going to fade and you're not going to feel it a lot of the times when you have customized shoes it's people simply just painting over the shoes so that paint sometimes cracks it's going to peel sometimes it's going to fall off it's going to chip it's going to fade but not with these sourcing your products through autods's print on demand suppliers means that they're going to be professionally printed and they're going to be of the highest quality and those were the best print on demand products that you should be offering right now for your print on demand business now there's tons more other products that you can choose from just check out the autods print on demand section and you're going to be bombarded with an insane amount of cool products remember go ahead and comment down below the hashtag pod and let me know which one of these products was your favorite and also let me know your thoughts on print on demand so that way you can gain access to the free designs huge thank you to everyone for watching especially if you made it all the way to the end as always if you made it this far that means you enjoyed the video so smash that like button hit that subscribe button and ring that little bell notification so you don't miss out on any future videos whether that be for print on demand or drop shipping huge thank you to everyone for watching once again my name is mario with autods and i'll catch you all next time


In this presentation, we will take a look at multiple choice questions related to budgeting, going through the questions, and then practicing test-taking skills with them. First question, budgeting process usually ends with A, budgeted financial statements, B, sales budget, C, production budget, D, cash budget, E, and argument. Let's go through this again using the process of elimination. Budgeting process usually ends with, now whenever you see a question like this and you will see them when you're dealing with budgets because we have to make the budgets in some kind of sequential order. If we just try to dive into some component of the master budget without thinking about it in a process type fashion, it'll be a mess. So we got to do it in order and so we're visualizing the order. So we're looking at the end of the order. What's the last thing that's going to happen with this budgeting process? A, the budgeted financial statements.


As part of observing breast cancer awareness month in October, the Bureau of Health Education within the Ministry of Health, Wellness and Elderly Affairs will be organising a series of activities with the aim of raising awareness on breast health and encouraging the adoption of healthy habits to prevent breast cancer. Health Educator in the Bureau of Health Education, Nadesh Smith Lambert, spoke on the need to ensure information on breast health is provided and to encourage healthy behaviours such as screening and physical activity. Okay, so for the 2022 observance of breast cancer awareness month, the Ministry of Health has decided to focus on ensuring that women are knowledgeable of the breast screening services within their communities and taking advantage of those services. The Bureau of Health Education has also decided to continue placing special focus on young ladies from their adolescent years into their productive years. Engaging them at schools, workplaces and wellness centres. Smith Lambert says it is necessary that the focus of raising awareness on breast cancer prevention be tied in with the physical activity component. The theme for this year's observance is Seymusha Moves, move to fight breast cancer. With the acronym for move being, M. mobilise schools, families, workplaces and communities. O, offer and access screening services within our communities. V, varied age, appropriate physical activity. And E, educate on breast health and healthy eating habits. This theme was chosen in light of the recently launched Seymusha Moves campaign which encourages physical activity within schools, workplaces and communities. The health educator also spoke on the upcoming breast cancer awareness activities and encouraged Seymushans to participate. The activities for this year includes pink Fridays. Workplaces and communities are invited to dress in pink or decorate workstations or the main entrance in pink with a message to generate visibility and demonstrate the championing of the cause of breast cancer prevention. We would like all our community members to access screening services at the various wellness centres around the island. We'll be hosting a number of breast health education seminars and screening activities throughout the month of October at workplaces. We will also be engaging our secondary school young ladies on breast health. Seymushans are also encouraged to get breast screening done at the various wellness centres during the month of October. The Bureau of Health Education also calls for the celebration of breast cancer survivors and warriors. Reporting from the Communications Unit of the Ministry of Health, Wellness and Elderly Affairs, I am Fernelle Neptune.


What is going on guys welcome back to the channel critical overload here We're gonna be talking about a few different horror top is in this video here today. We're gonna be talking about Chucky season 3 we're gonna be talking about scream 7 we're gonna be talking about orphan 3 we'll be talking about smile 2 to wrap It all up starting off here with Chucky season 3 John Waters We know as reported yesterday by entertainment weekly is back for Chucky season 3 part 2 The legendary director behind pink flamingo hairspray and cereal mom is returning to the child's play horror universe Waters will be playing Wendell Wilkins the reclusive creator of the good guy dolls who gets drawn into the psychopath that Chucky's tangled web on an Episode of Chucky season 3 part 2 the filmmaker previously portrayed a tablet photographer named Pete Peters who gets dissolved by sulfuric acid in 2004's seed of Chucky. I did a video dedicated to this already But again, it's nice to know that John Waters is back We even got this image of him on set with Jennifer Tilly Meeting the creator of this doll is bound to lead to interest in TV, right? I mean I would hope it would and it should considering they've been described as reclusive This is likely due to their treatment from the public at least that's my speculation That they've received over the decades of bloodshed their creation has been at the center of and I would love to know their thoughts on Chucky Charles Lee Ray Andy Jennifer all of it. What are your thoughts? They have to have some type of knowledge of this because I'm certain it's impacted their reputation probably impacted their mental health, etc There's also the chance like I mentioned that Chucky seeks this character out in one last act of desperation One of you or a couple of you actually though chimed in stating What if Kenan Thompson is lying from the first half talking about AI dolls is connected or Just a foreshadowing of what we're about to get with the creator that we're meeting What if the creator is about to launch a AI update of good guys? That's always a possibility or this could be a way for Chucky to let off steam That's always of course on the table too. We'll just have to wait and see Diving into scream 7 is Courtney Cox teasing her return to the franchise already So she recently posted this reel on IG that's in line with other content She's posted featuring a ghostface person ghostface creeps upon her says something smells good and then proceeds to attack her before it cuts off So this has some people thinking that Courtney Cox must be hinting at her return for scream 7 Honestly, Courtney Cox can already have it set in her mind that she isn't doing the damn project and still just have fun on Her page related to the franchise because it's one of the most well-known roles for her If she's in the movie then she just in the movie all of these decisions that are inevitably Inevitably going to be made are not decisions that us as fans will have to live with it's the stars who have to live with those Decisions in what level of backlash does or does not happen. I personally didn't look too deeply into the real myself But my brief thoughts are that she's just having fun with the character like she has been doing in the past reels If Gail does return I would like to see a bigger spotlight on her and I've already addressed how they can be done in another recent video dedicated to scream 7 So we're gonna teeter off into talking about Matthew Lillet really quick because he seems to have shot down Not completely saying he is not doing scream 7 but when asked about it recently with entertainment weekly He said that I don't think so in regards to him portraying stew mocker again. I don't think so. I don't think so I mean look with what they with what they're going through right now in relation to the overhaul creatively that they're enduring I have no idea where that goes if there's a world where they sensed ensured like I've stated if it makes sense Why not do it? I mean they keep mentioning it. They keep tiptoeing around the outside He said I hope they put it to bed one way or other I can't walk down the street without somebody asking me if I'm going to be in episode 35 or whatever I honestly think that Matthew little is kind of just frustrated with the whole idea of Stew being alive or at least frustrated with him being asked about it And I think Matthew little has all of his sights set on Being after in these upcoming five nights at Freddy's sequels because I think he signs like a three-picture deal So I don't think he's worried about scream 7. I think this response is just him being Professional not trying to rock any bolts, but just respectfully saying I don't want to do your film stew. Mocker is dead Put it to bed leave it alone. I think that's what he's saying and diving on into orphan three here So orphan three is in the works. This is what William Brent Who is responsible for orphan first kill said last year with bloody disgusting on the boo crew podcast I think we need to talk about this first He said this we talked we joked about everything these 30 years or there's 30 years of her life in relation to Esther That we haven't explored and there's so much life experience that we can play with and I think because of the tone of this movie We can go darker and lighter make her more in charge and evil but also have even more fun at times So of course there is potential there Now recently this comment came out from the Hollywood reporter Saying that we're developing a third one now the franchise's rulebook has opened up to where anything is possible And knowing where we are in the process already. I'm extremely excited about the twists and turns that we have in store Sure, I'll check this out, but I'm not excited about it Some of you might agree, but there are certain films where once the cat is out of the bag Each film after just does not hit the same and yeah, they might be good to decently made films but that the nature of that first orphan added a layer of mystery that can never be Duplicated and is not that it has to be but it was just that effin effective That's how effective that first entry was I Anticipate that this film could take place prior to first kill There are those that have mentioned that there is an alternate ending that I completely ignored where this could be a sequel to the original film But I beg you this question since I've seen the comparison to I am legend Is there a physical media release where you can watch that version or is it just a special feature? Because I wouldn't count that I believe there is a cut Alternate ending of I am legend that you can just watch all the way through and it's not just a special feature But we'll see what happens with orphan 3 So the last thing I want to talk about here is related to smile too Naomi Scott has been has been set to star in Paramount Pictures Untitled sequel to its hit horror pic smile So Parker Finn we know is writing the screenplay and will return to direct Deadline reported this over the week and it sparked excitement for those familiar with the actress from Aladdin I think she was in but I believe she was also on Disney Channel too because that's where I recognized her from She was in like lemonade jaw or something. No, no Lemonate mouth. Yeah. Yeah. I mean, I think it's I think that's the name It's either lemonade jaw or lemonade mouth It would appear she is going to be our new lead But I'm holding out for Kyle Gowner to take center stage for this sequel still after his work on the passenger this year I just think he would do a phenomenal job carrying a smile sequel and of course is just in line But what we saw at the end of the movie and how the Curse or whatever seemingly passed to him the entity if you will pass on to him We'll just have to wait and see how all of this comes together with smile too. I'm very excited about Naomi Scott's participation I'm always excited to see someone from Disney teeter off into the horror genre Let me know what you think about this down in the comment section below if you haven't already of course Make sure you go ahead and subscribe turn on post notifications at your members of video in the description I'll have links to all of my social media accounts. I am on Facebook toward an Instagram You can message me there of course to let me know if there are any movies news or reviews You would like me to cover in the future and with all that in mind guys. I will see you in the next video


It once happened, a rabbit was romping around in springtime, you know, mad as a March Hare. But then he heard a frog making desperate calls as if there was a pandemic. So the rabbit went about investigating, where is he calling from? Then he found a hole in which the frog was sitting and then the rabbit asked what are you doing in this hole, why are you screaming? The frog said, I fell into this hole, I'm not able to get out. The rabbit said, just hold on I will go get a ladder for you. So went out to procure a ladder. So after some time he got the ladder and came back. But he found the frog was already sitting outside the hole. Then the rabbit asked, how did you get out? Well, after you left, a snake came into the hole so I got out. So now the snake has entered the hole, everybody needs to jump to their fullest capability.  If we know how to make use of this time, we can come back with renewed strength and energy. So this anxiety and concern, let's keep it aside, this time that we have, this two to three weeks time that we have on our hands, everybody should commit themselves physically, mentally, emotionally and in terms of whatever work we're doing, the competence that we have, if we just aim at improving ourselves, upgrading ourselves by ten percent, ten percent improvement in every human being will set the nation at a different pitch and possibility. Every human being can write down, what is my physical fitness, you don't need a medical evaluation, you can say where am I, what is my idea of ten percent improvement, what is my mental capability, ten percent improvement, my emotional stability, ten percent improvement, my competence in my work, ten percent improvement. If everybody, according to their own standards, if they strive for this, we will have a different nation going. There are situations outside, there are impediments, challenges, but your own mind, your own emotion, your own attitude should not become an impediment and a challenge. If you are not a challenge to yourself, rest we will handle to the best of our capabilities.