Restoration of predictability in gravitational collapse by Christian Corda

Dear Christian,

it might be a sign of uncertain times that most responses to this contest (that I've had the pleasure of reading so far) chose to explore how uncertainty, undecidability and intrinsic epistemic limits impact our ability to investigate the world. You, laudably, chose the other option: restore predictability where the appearance of information loss in the Hawking process seemed to threaten it.

Moreover, you bring a fresh perspective to this problem---it's often said that the black hole is the hydrogen atom of quantum gravity, so what better way to handle it than with an approach that mirrors that of Bohr!

I have to say I haven't yet digested everything you bring to the table here---length constraints and the technical nature of the subject no doubt playing their part there---, but the fact that you can get a pure state as the endpoint of evaporation already seems very promising.

Out of curiosity, do you get any quantitative predictions from your approach---say, the evaporation time of the black hole, or the Hawking temperature? You mention that you get the BH entropy out, what degrees of freedom are counted by the entropy? The modes of the horizon oscillations?

Anyway, I'll have to spend some time mulling your essay over. I wish you the best of luck in this contest!

I ended up writing an essay. This topic has been a source of questions for me over years. I also finally got some time to actually read some essays.

I think that your W operator is a form of density matrix for the black hole. This process is I think an entanglement of the normal mode or states with a quantum state, or approximation thereof, for the black hole. It is in this way that you have a pure state, or at least a close approximation to one. If the вџЁП†_j|W(t)|П†_iвџ© were summed over in a Fermi-golden rule this would then be вџЁП†_j|W(t)|П†_iвџ© ~ e^{-E_{ij}/kT} and would give the thermal Hawking radiation.

Take a look at my essay and see what you think.

Cheers LC

Dear Dr. Korda,

You say: "This wave function results entangled with the wave function of the particle with positive energy which propagates towards innity in the mechanism of particle creation by BHs. Now, we show that this key point solves the entanglement problem connected with the information paradox. In fact, the entanglement problem of the BH information paradox concerns the entanglement structure of the wave function associated to the particle pair creation [3, 5, 28]. In other terms, in order to solve the paradox, one needs to know the part of the wave function in the interior of the horizon [3, 5, 28], i.e. the part of the wave function associated to the particle having negative energy (interior, infalling modes)".

The first thing to say: the introduction of "negative energy" in your article is false. The energy of a given particle you cannot give a negative mathematical sign. It makes no sense. This is not physics, this is mathematical philosophy.

The second thing to say: Ince you know what is time, there is no paradox in entanglement. You can read my article attached.

Yours AmritAttachment #1: Searching_for_an_adequate_relation_betwen_time_and_entanglement.pdf

Dear Korda,

how much you understand the foundations of physics is showing your comment. The fact is "negative energy" is not physics, this is pure philosophy. You do not have any data supporting negative energy. Your article is a school example of what is not physics. Read my books and learn about BIJECVTIVITY in physics.

I'm not inventing physics as you do, my physics models are related to physical reality with bijective function. You for sure will not teach me physics.

Best, AmritAttachment #1: 4_-_Einstein_Vision_of_Time_and_Infinite_Universe_without_Singularities_-_The_End_of_Big_Bang_Cosmology.pdf

Hello, it is a good extrapolation but you don t solve the quantum gravitation. If it was the case, it d be the nobel prize, the BHs are not for me the auantum bricks of this quantum gravitation. The problem is that you have forgotten to insiert several parameters, you have analysed these informations but they don t answer even in developing some maths in correlations with the works of Hawking. There are too much assumptions not proved, but it is a good attenpt that said. This quantum weakest force , I have reached it , needs to insert a different logic than our actual photonic relativistic electromagnetic reasoning. I have reached it in encoding particles of cold dark matter weaker than our electromagntic forces, I consider a gravitational coded aether made of finite series of spheres. I have considered series of quantum BHs farer than our nuclear forces too and that implies a fith force, we see easily that this standard model is encircled, The problems with the different attemps are numerous , like connes and his non commutativity, he has not reach it , like verlinde and his entropical gravity, or Lisi and his E8, or the twistors of Penrose or the loops or the strings, the main problems are that they consider that ewe have onnly photons like main essence or that we have strings at tghis planck scale giving the properties of matters, the geometries, the topologies, the emergent space time. Like the geometrodynamics it is the same problem with the points and the fields. Because our main origin philosophical is not a 1D main field, biut in logic coded particles.

I don t want to be too much rude but sometimes the generality is essential, if not the persons try to be relevant but no, they are false, and I don t want that they are considered like crackpot. You can do better I beleive in all humility and with respect. Think beyond the box and forget your electromagnetic relativistic photonic chains..... :) don t be irritated, try to go deeper simply, you can do it.Regards

Hi to both of you , don t forget that the strings are an assumption at this planck scale like the 1D main Cosmic field , we cannot affirm that all come from Waves creating this physicality and its topologies, geometries, matters and space time. The loops the same. Like the geometrodynamics, so how the persons affirm that these foundamental objects are strings at this planck scale and the philosophy too ? maybe these strings are a fashion created by witten simply , I consider that all is particles coded and that respects too the Waves particles duality , the gravitational aether becomes relevant.the vacuum and space are particles for me coded.

Regards

Hello, well, you have not explain this quantum gravitation , if it was the case it is the nobel prise, in telling us that you explain it with these BHs and the informations is totally odd. I beleive Mr Corda that you want to be like the best thinkers but you cannot create a very relevant general revolutionary work. Personally I have reached it in considering this dark cold matter encoded in nuclei and changing several things respecting the newtonian mechanics. You ideas for me are total nonsense to explain this quantum weakest force. In fact let s go deeper, first of all what do you consider like foundamental mathematical anmd physical objects ? strings or points, and after what do you consider like main orgin? a 1d main field like if all was Waves ? we know all on this platform in majority the basic sciences, but the aim is to see the generality at all scales and in philosophy. You have not explain this quantum gravitation, you have just extrapolated a Little bit the BHs with the works of Hawking in repeating already knowns equations and some about the informations. Well what is an information for you , like main essence ? you can utilise the geometrical algebrasm the strings, the geometrodynamics or otehrs....develop because we must analyse the generality in fact simply about the foundamental objects and why they exist and why they create our geometries, topologies, matters and space time. Do ypou consider A 1d main field at this Cosmic scale ? explain us your general philosophy about these objects at this planck scale and this philosophy, if they are strings, why they oscillate and how ....thanks , regards :) don t be irritated, you can go deeper I beleive

Hi Christian,

Good to see you back, and with a fascinating new take on Black Holes. You'll recall as an astronomer I study AGN, and more recently the physical kinematics of their outflows. As BH's seem ever more closely connected to AGN I found your quite opposite purely theoretical approach of great interest.

I also found it beautifully clearly written as usual. I do suspect the judges may be under to much political influence to elevate it to the ranks of their chosen few, rather like mine.

I take a far more fundamental approach which, despite being quite different, even revolutionary in a different way, I think you'll understand and like.

Very Best

Peter

Peter

Black holes are rejuvenating systems of the universe which is eternal and non-created. BB cosmology is a fairy tale.

yours amritAttachment #1: BIG_BANG_COSMOLOGY_FUNERAL.pdf

Hello,

I am sorry , I beleive that I have bad interpreted, I was probably paranoid lol, I delete my message here , have a good day

sorry I cannot delete it

Sorry still, this one has been approved, I wanted to delete them because i was too much rude, but I cannot Dr Corda. Sorry

Hi Dr Corda, look at this ,

considering different distances between the protons and electrons and reaching this quantum gravitation ? why ? because we have a deeper logic superimposed to our standard model, we must consider particles of gravitationa encoded in nuclei waker than our electromagnetism and we must probably insert a serie of quantum BHs farer than our nuclear forces, that permits to consider the electrons and protons like just emergent particles due to fields and their mass appear just due to bosonic mechanisms like the higgs fields simply, so now we can see better what is this quantum gravitationa and what we must consider like mass and distances, change now the distances in taking into account these quantum BHs, the main codes and these particles of DM encoded. Oddly I have reached this quantum weakest force .....our standard model needed simply to consider a deeper logic and consider that these protons and electrons are just emergent. That respects the newtonian mechanics dear all....quantum gravitation explained , eureka probably but I must publish correctly

work about this to find the good partitions with the good mathematical Tools chosem, the hamiltion Ricci flow, the spheres, the aether coded, the Ricci flow, the theurston geonetrisation conjecture, the poincare conjecture, the deformations of spheres, the fact that space disappears with specific finiet series of this coded aether, the lie derivatives, the heat equation, the lie groups and the E8 mainly, the topological and euclidian spaces mainly , I become crazy I must say but I evolve each Days. The numbers also are very important , reals, rationals, irrationals, imaginaries,primes, p adics analyses, fourer harmonics , all seems under a pure universal distribution with these spheres and these finite series of this main coded aether .

regards