Dr. Norbert Schwarzer

Towards a Mathematical Proof of Heaven – Bring back the Spirit We have seen that a "Theory of Everything" presents us with a universe in which not only is everything interconnected, but—due to the wave-like nature of absolutely everything and the possibility of solutions that are devoid of volume or are of "non-real" character —every single object possesses the potential to be, in some sense, "ensouled." It almost seems as though those indigenous peoples who made this very perspective the cornerstone of their cultural and spiritual identity—living in harmony with their environment—grasped the essence of the world far better and more truthfully than all of modern science combined.

Towards a Mathematical Proof of Heaven – How does God change the world without showing his hand? - Part III And what about the Devil? … Clearly it follows, a global influencer does not necessarily need to show his face (or hand) in a potentially evil game, changing the world really badly… possibly even plunges it into total chaos leading to the extinction of humanity or those parts of it that are little loved by the "defect". He can play his evil games and spread his "messages" and actually do this himself without having to appear publicly as an evildoer. It simply depends on the type of emittance in order to carry the "evil message" in the end, while the actual source of the evil is never visible. Unfortunately, just now, we can't think of any example where something like this has been done in the past or is currently being attempted… … but at least we now know that there is such a possibility. Who knows what that might be good for. [1] N. Schwarzer, “Einstein had it, but he did not see it – Part LXXIX: Dark Matter Options”, Self-published, Amazon Digital Services, 2019, Kindle. [2] youtu.be/EmXfSFiwdVE [3] youtu.be/sn82LOGMOao

Towards a Mathematical Proof of Heaven – How does God change the world without showing his hand? - Part II Now we are ready to also answer the question in the main title namely: “How does God change the world without showing his hand?” Well, as it is shown in [4], in bigger socio-economic systems (societies), single individuals or even groups of the latter are radiating their influence to the environment (rest of the society) in multidimensional sphere-like waves. Thus, the mathematical structures of any form of communication or information-transmittance is quite similar to the ones shown in the equation and hence, are equipped with the same potential to be superposed to globally appearing (and acting) as apparent plane waves. God can just do the same, respectively, apply the same trick. [4] N. Schwarzer, “Mathematical Psychology – The World of Thoughts as a Quantum Space-Time with a Gravitational Core”, Jenny Stanford Publishing, ISBN: 9789815129274

Towards a Mathematical Proof of Heaven – How does God change the world without showing his hand? - Part I It is very funny that we already had asked this question here on X (and answered it) but we never asked about God, but always: “Can one man change the world without showing his hand?” Now we intend to ask the same question with respect to God and here is our – slightly adjusted – answer: Let’s start with a bit of material science first. Thereby the question was brought forth to me, whether a single and most localized, which is to say almost point-like, defect could influence an ensemble of atoms or molecules withing a component in such a way that it (the defect) dramatically influences the properties of the component, but does not show itself as the culprit for the observed parameter change. We had the answer ready, because we had already dealt with this question in connection with a slightly different and rather more theoretical application, namely the physical riddle about dark matter and energy [1]. The answer is mathematically clear: It is possible that a certain defect creates a parameter change for a – compared to its own size – huge area inside any material structure without showing itself. Thereby the source only needs to radiate its influence in a certain attitude which leads to a suitable collection of plane waves, which are themselves just superposed signals coming from the defect in a very particular form (see our next post). An outside observer, however, would only see the plane waves and cannot make out the source. In other words, he cannot see God acting, but only realizes the action. Going back to the material science problem, from this automatically follows, that now engineers, who cannot find the source for a certain global failure mechanism in a who-knows-what for an application, have just the perfect excuse. Only measurements of very local character would allow to move further forward in such cases. In mechanics, for instance, this could be Nanoindentation and highly sensitive scratch and tribo-tests, potentially combined with the so-called “calo method” for higher depth sensitivity [2, 3]. But here it only works, because the plane-wave pretense is never perfect. With respect to God’s actions I wouldn’t be so sure.

Towards a Mathematical Proof of Heaven – Extracting the classical Quantum Theory In one of our previous posts within this series of “The Mathematical Proof of Heaven” we presented the simplest Quantum Einstein Field Equations (see equation on the left hand side in the graphic below). In my published work (e.g., [399]) I was able to derive the linear classical Quantum Equations (Klein-Gordon, Dirac and Schrödinger) in a variety of ways out of these field equations, but the most simple one is to apply the “weak gravity condition” and then just use flat-space coordinates (just as the classical relativistic Quantum Theory is defined in). In the graphic below this condition is defined via the equation under the red arrow. The mathematically skilled ready will easily find that this gives all the major quantum equations when creativity playing with the function F=F[f]. I also demonstrated many times how mass and potential are just coded via higher dimensions (e.g., [399]). As the definition of a “Theory of Everything” is demands it to contain both, the Einstein Field Equation and the Quantum Theory, we think we have it all. The only thing we would like to point out here is the fact that we do consider Hilbert as the man who had truly originally found it. [399] N. Schwarzer, “Fluid Universe – The Way of Structured Water; Mathematical Foundation” , 2026, a Jenny Stanford Pub. mathematical foundations book, ISBN: 9789815352153

Towards a Mathematical Proof of Heaven – By-Products III We repeat our last post again and show another application in the picture… In [1] doctor Alexander wrote: “…but as of yet there is no unified ”theory of everything” that can combine the laws of quantum mechanics with those of relativity theory in a way that begins to incorporate consciousness.” What is quite interesting about our findings is the fact that we did not really need to find such a “theory of everything”. It was already there, hidden in a work of the great German mathematician David Hilbert [2]. Originally, Hilbert only wanted to derive Einstein’s field equations [3] in a mathematically rigorous manner. This he – indeed – achieved, but looking carefully through his work and extending it a tiny little bit (e.g. [399] and our most recent posts here), one also discovers the necessary features for the quantum theory and even finds quite some degrees of freedoms for a completely different world… perhaps – and in fact we see all the necessary ingredients - the world of consciousness and spirituality and apparently even more. Almost as a by-product, we make out many solutions, which could help us living good lives in this world, too. [1] Eben Alexander, “Proof of Heaven: A Neurosurgeon's Journey into the Afterlife”, Simon&Schuster, 2012, ISBN-13: 978-1451695199 [2] D. Hilbert, Die Grundlagen der Physik, Teil 1, Göttinger Nachrichten, 395-407 (1915) [3] A. Einstein, Grundlage der ART, Annalen der Physik (ser. 4), 49, 769–822 [399] N. Schwarzer, “Fluid Universe – The Way of Structured Water; Mathematical Foundation” , 2026, a Jenny Stanford Pub. mathematical foundations book, ISBN: 9789815352153

Towards a Mathematical Proof of Heaven – By-Products II Yesterday we had the following post: In [1] doctor Alexander wrote: “…but as of yet there is no unified ”theory of everything” that can combine the laws of quantum mechanics with those of relativity theory in a way that begins to incorporate consciousness.” What is quite interesting about our findings is the fact that we did not really need to find such a “theory of everything”. It was already there, hidden in a work of the great German mathematician David Hilbert [2]. Originally, Hilbert only wanted to derive Einstein’s field equations [3] in a mathematically rigorous manner. This he – indeed – achieved, but looking carefully through his work and extending it a tiny little bit (e.g. [399] and our most recent posts here), one also discovers the necessary features for the quantum theory and even finds quite some degrees of freedoms for a completely different world… perhaps – and in fact we see all the necessary ingredients - the world of consciousness and spirituality and apparently even more. Almost as a by-product, we make out many solutions, which could help us living good lives in this world, too. [1] Eben Alexander, “Proof of Heaven: A Neurosurgeon's Journey into the Afterlife”, Simon&Schuster, 2012, ISBN-13: 978-1451695199 [2] D. Hilbert, Die Grundlagen der Physik, Teil 1, Göttinger Nachrichten, 395-407 (1915) [3] A. Einstein, Grundlage der ART, Annalen der Physik (ser. 4), 49, 769–822 [399] N. Schwarzer, “Fluid Universe – The Way of Structured Water; Mathematical Foundation” , 2026, a Jenny Stanford Pub. mathematical foundations book, ISBN: 9789815352153

Towards a Mathematical Proof of Heaven – By-Products I In [1] doctor Alexander wrote: “…but as of yet there is no unified ”theory of everything” that can combine the laws of quantum mechanics with those of relativity theory in a way that begins to incorporate consciousness.” What is quite interesting about our findings is the fact that we did not really need to find such a “theory of everything”. It was already there, hidden in a work of the great German mathematician David Hilbert [2]. Originally, Hilbert only wanted to derive Einstein’s field equations [3] in a mathematically rigorous manner. This he – indeed – achieved, but looking carefully through his work and extending it a tiny little bit (e.g. [399] and our most recent posts here), one also discovers the necessary features for the quantum theory and even finds quite some degrees of freedoms for a completely different world… perhaps – and in fact we see all the necessary ingredients – the world of consciousness and spirituality and apparently even more. Almost as a by-product, we make out many solutions, which could help us living good lives in this world, too. [1] Eben Alexander, “Proof of Heaven: A Neurosurgeon's Journey into the Afterlife”, Simon&Schuster, 2012, ISBN-13: 978-1451695199 [2] D. Hilbert, Die Grundlagen der Physik, Teil 1, Göttinger Nachrichten, 395-407 (1915) [3] A. Einstein, Grundlage der ART, Annalen der Physik (ser. 4), 49, 769–822 [399] N. Schwarzer, “Fluid Universe – The Way of Structured Water; Mathematical Foundation” , 2026, a Jenny Stanford Pub. mathematical foundations book, ISBN: 9789815352153

Towards a Mathematical Proof of Heaven – The Other Dreams II My son, Julius, was of the opinion that the process of “spiritual” (in my case mathematical-spiritual) dreaming, merits a somewhat more personal illustration and so he beamed me into the picture.

Towards a Mathematical Proof of Heaven – The Other Dreams I One of my partners wanted to know whether there are also others who can “powerfully dream” like I described recently in the “Personal Motivation” to this series. Well, I think, with a bit of training, principally everybody can.

At the beginning of our short series on the “mathematical proof of heaven”, we indicated that we would inevitably also encounter the components of hell. Well, who would have thought that Germany, of all places, would once again provide the prime example—by now beginning to lock up its government critics. As surveys show, the public has long held the view that freedom of opinion no longer exists in Germany. Now, it is enough to "insult" one of these "political actors" to end up in prison—without any further, legally sound justification. Well, the Trump administration has been considering for some time whether such "allies" should even still be defended.

Towards a Mathematical Proof of Heaven – g=0-Space-Time or The Periodic Glimpse Behind the Vail – Appendix II Here an illustration of the periodic metric from my daughter Livia.

Towards a Mathematical Proof of Heaven – g=0-Space-Time or The Periodic Glimpse Behind the Vail – Appendix I In [366], Appendix N, we have shown solutions to the complete Quantum Einstein Field Equations sporting a periodic scaling in the form of generalized Robertson-Walker metrics. Hence, just as elaborated in our last post, there could be “…a periodic global scaling function F, which forces our space-time to oscillate in size, thereby also allowing to get infinitesimal glimpses into the strange G=0 – the spiritual – worlds”. Interestingly, these solutions are complex and have to answer the question what kind of world could be coded via the imaginary part of the metric tensor ?!? [366] N. Schwarzer, “Mathematical Psychology – The World of Thoughts as a Quantum Space-Time with a Gravitational Core”, 2024, Jenny Stanford Publishing, ISBN: 9789815129274

Towards a Mathematical Proof of Heaven – g=0-Space-Time or The Periodic Glimpse Behind the Vail In our last post we have shown that there are solutions to the “equation of the universe” (the Hilbert variational integral), which actually solve the equation, but do not belong to our reality. The key is to allow for Jacobi determinants to become zero (g=0). With our more general metric tensor and its determinant G=g*F^n one can easily assume to have a periodic global scaling function F, which forces our space-time to oscillate in size, thereby also allowing to get infinitesimal glimpses into the strange G=0 – the spiritual - worlds. A global change of scale would not be visible for any observer inside the universe and so, we would never see the pulsing, but the oscillation itself might give the universe the effect of time and the periodic infinitesimal moments of G=0 would regularly open a brief portal into the “world beyond”.

Towards a Mathematical Proof of Heaven – g=0-Space-Time or Somewhere Behind the Vail “But when a person who is potentially open to hearing about an Near Death Experience, NDE, asks a doctor or a scientist – in our society the official gatekeepers on the matter of what’s real and what isn’t – they are all too often told, that NDEs are fantasies: products of a brain struggling to hold on to life, and nothing more. As a doctor who’d undergone what I had, I could tell a different story. And the more I thought about it, the more I felt I had a duty to do just that.” (from “Proof of Heaven…” by M.D. Eben Alexander) In one of our most recent posts, we wrote: “… the simplest version of our theory demonstrates a unification of the two fundamental theories of physics—namely, Einstein's general theory of relativity and quantum theory.” and then demonstrated the proof in a single equation that can be easily derived (e.g., [399]). But we demand even more from our simplest version of the ToE. We require that this version also shows us a path leading behind the curtain. And indeed, we can do this [319]; for if we take just a tiny step back and consider the corresponding variational integral instead of the final field equation, we see that any metric satisfying the volume-invariance condition g=G=g*F^n=0 is also a solution to the extremality condition. Yet, it is not a solution corresponding to our ordinary reality… it something else. [319] N. Schwarzer: “The Math of Body, Soul and the Universe”, Jenny Stanford Publishing, ISBN 9789814968249 [399] N. Schwarzer, “Fluid Universe – The Way of Structured Water; Mathematical Foundation” , 2026, a Jenny Stanford Pub. mathematical foundations book, ISBN: 9789815352153

Towards a Mathematical Proof of Heaven – Information Can’t Get Lost in This Universe II It is truly remarkable that, in the very thought experiment Stephen Hawking used as a starting point to demonstrate the destruction of information at the edge of black holes [1, 2] (see also [3, 4]), the exact opposite was ultimately proven (e.g. [5, 6, 7]). A reevaluation of the Bekenstein-Hawking thought experiment results in the identity of information=mass=energy=dimension and any loss of information would consequently result in the loss of mass, energy or dimensionality. [1] J. D. Bekenstein, “Black holes and entropy”, Phys. Rev. D 7:2333-2346 (1973) [2] J. D. Bekenstein, “Information in the Holographic Universe”, Scientific American, Volume 289, Number 2, August 2003, p. 61 [3] Stephen W. Hawking: Particle creation by black holes. In: Commun. Math. Phys. 43, 1975, S. 199–220 (projecteuclid.org, PDF; 2,8 MB). [4] L. Susskind, The Black Hole War: “My battle with Stephen Hawking to make the world safe for quantum mechanics”, Little, Brown 2008 [5] N. Schwarzer, “Mathematical Psychology – The World of Thoughts as a Quantum Space-Time with a Gravitational Core”, 2024, Jenny Stanford Publishing, ISBN: 9789815129274 [6] N. Schwarzer, “The Funny Connection between the Pauli Exclusion Principle and the Stupidity of Man”, 2025, a SIO publication, siomec.com [7] N. Schwarzer, “Solving the 1/137-Riddle?”, 2025, a SIO publication, siomec.com

Towards a Mathematical Proof of Heaven – Information Can’t Get Lost in This Universe I Excerpt from: T. Bodan, „7 Days – How to explain the world to my dying child“, 2021, illustrated version, Self-published, BoD Classic, ISBN 9783752639728 … Her small weak eyes search mine and there is so much knowledge in them that I feel we have succeeded. But then, for a brief moment, a tiny doubt, a last question. "What will become of me when this body will no longer be mine?" It seems that there is no longer fear in the question but rather something like need for a final reassurance. "You mean you, that is your individuality, don't you?!" I am glad about this question and I am glad that I can give an answer of which I am absolutely and 100% sure. An answer of which I am sure, not because I BELIEVE, but because I KNOW! And so, I answer, "Information cannot get lost in this universe, my love. It cannot disappear, because there is a kind of net where it gets caught. A kind of bottom or a last level where it always arrives and continues to exist. As long as our universe remains, and it will remain until infinity, there will be this bottom; everything of individuality and uniqueness will be stored on this lowest level for all eternities... Or should we call it the very first, the primal level? It doesn't matter! No matter what kind of information it is, as soon as it contains even a tiny bit of essence of uniqueness, it will remain, it will be stored. That, exactly that will also happen with you, thus your uniqueness and individuality." "What is the universe doing with ... with my 'uniqueness'?" it almost seems as if my child wants to talk down her uniqueness, as in all her weakness she is adding a somewhat ironic note to this last word. "It uses it, but you will have a say in that, I'm sure of it," I reply calmly. Now, once again, something like fear gently twitches through the small, battered body, "But won't I get lost in this process?" "No, my child," I reassure her, "it's just as if you had a thought, a memory, and combined it with another memory or a new thought to form a completely new idea. The old memories are not lost and yet they live on in something perhaps completely new. When you live, at every moment your self emerges from a previous self. The old self dies and the new one is there... only in this way you can live. And that's exactly how it will go on only a little bit different than you knew it before." My child begins to smile. "And," I continue, also smiling, "because the old thought is not lost and there are still many trillions of other memories with which it could be linked, the one thought, the one unique thing, you and your individuality will be the starting point of infinitely many new and beautiful things. You are like a seed with inexhaustible fertility and immeasurable variety, my love." …

Towards a Mathematical Proof of Heaven – Generalizing Hilbert’s Extremal Integral Part VI What remains to be shown is that the simplest version of our theory demonstrates a unification of the two fundamental theories of physics—namely, Einstein's general theory of relativity and quantum theory. And here we go…

Towards a Mathematical Proof of Heaven – Generalizing Hilbert’s Extremal Integral Part V And the kernel, which in the classical Hilbert approach is just the Ricci scalar, here has to be the Ricci scalar of the scaled metric. The usual Lagrangian matter term and the cosmological constant are not of need in this generalized variation. They appear automatically via additional dimensions, the metric scaling and the fundamental uncertainty effect. BTW: Why this post-series? To show that the fundamental laws of the universe do not only describe our reality. There seems to be more… much more. Who might be interested? To use an analogy from K. Lorenz (Nobel prize 1973), anyone who hasn’t yet completely turned into a domestic pig. Are there applications? Yes, infinitely many.

Towards a Mathematical Proof of Heaven – Generalizing Hilbert’s Extremal Integral Part IV The variation is more general and the whole integral does not need to be positive definite. The latter is usually enforced via a setting of |g| or, in our case |F^n*g| under the square root, which, of course, is just the Jacobi determinant of the metric tensor. We assume that the condition of positive definiteness is only of need in the real physics realm, while in general we don’t need it.