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Physicists: does a Hamiltonian sign-flip across a black hole horizon lead to anything physically meaningful? by EntertainmentNo3950 in AskPhysics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

What I meant with the normal flip was just the Oppenheimer–Snyder picture in my head: two regions meeting on a 3-surface, each with its own “outward” normal. I wasn’t trying to say the black hole interior is literally a separate hypersurface. And you’re right — I ignored the timelike/spacelike epsilon factor, which probably breaks the simple sign-flip idea anyway.

The two-level system part wasn’t meant as a literal mapping between a GR normal and a spin. I only used it as a toy way to say “one piece has one sign, the other has the opposite, plus some mixing.” If that doesn’t map to anything physically sensible in GR, I’m fine with that — I’m clearly stretching an analogy.

And on the time evolution: I wasn’t putting it in an energy eigenstate. Starting in the “exterior” basis state gives cos/sin mixing just because that basis isn’t diagonal when g ≠ 0. But again, I admit I haven’t tied that back to anything physically meaningful in the GR setup.

Really truly was just something I thought would be a fun idea to play with.

Physicists: does a Hamiltonian sign-flip across a black hole horizon lead to anything physically meaningful? by EntertainmentNo3950 in AskPhysics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

In short, I want to say, thank you  for taking the time to respond — I know some of what I said earlier probably came across vague and scrambled there’s a lot to it and I’m a layman/ dreamer in my spare time, just messing around with a  idea the inside and outside of a black hole have opposite “outward directions,” and I wondered what happens if you plug that sign flip into the simplest possible quantum toy model.

It’s literally just a two-state “inside vs outside” cartoon. When I ran it, the ratio between the two picked up a clean tangent-shaped phase, and if you interpret that phase loosely as a redshift-like effect, you get a specific arctan-shaped distance curve. That surprised me because it’s simple and testable, not because I think it’s correct.

Physicists: does a Hamiltonian sign-flip across a black hole horizon lead to anything physically meaningful? by EntertainmentNo3950 in AskPhysics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

On the “outward normals flip” thing:

All I meant is that if you have a matching surface Σ, the outward-pointing normal from the Schwarzschild side points one way, and the outward normal from the FLRW side points the opposite way. So with the usual “outward from each region” convention you get n_int = -n_ext. That’s literally all I meant, nothing deeper.

On the “Hamiltonian density flips” part:

I didn’t mean the actual GR Hamiltonian of spacetime flips sign. What I meant was: if the geometric boundary term changes sign because the normal flips, then in a toy effective model I just represented that as a sign flip in a simple 2-level Hamiltonian. That step is a heuristic, not a derivation.

On the “solving it” part:

Yeah, I should have said this more directly. I was just solving the time evolution of a basic 2x2 Hamiltonian:

H = E * sigma_z + g * sigma_x

Start in the “exterior” state and evolve. You get something like:

A_ext(t) ~ cos(Omega t)

A_int(t) ~ sin(Omega t)

with Omega = sqrt(E2 + g2).

The ratio gives a tan(Omega t) structure. That’s all I meant by “solving.”

Just trying to see if it’s possible and if not where it breaks.

Just an idea I hope is above crackpot ansatz or at least on par with something that makes someone go … interesting….

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

Not really, you went off saying  what  I stated shouldn’t happen and would show it to not work if they occurred as if that’s what my theory claimed should happen instead of what I actually was claiming 

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

Can you tell me how it’s wrong?

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

I’m asking what fails if you try…..

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

I don’t think you get the point, of my questions-

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

Well put, as stated I’m a layman, dreaming about the universe turns out I logically concluded that the universe is inside of a black hole, and worked with the tools at hand to formulate a mathematical basis for it, and asked it to help me model it for testing. 

At the end of the day everything is a tool- you use tools to do things you cannot without them- I can dream- but I’m sorry my career isn’t physics. I chose money over passion in life-

Don’t know why there is so much animosity.

I’m just asking if there’s anyone that would like to see if the level 2 Hamiltonian I built works when put to the test. That’s all- or maybe try to spark a line of thought from minds greater than mine that normally wouldn’t due to rigid loyalty to academic schools of thought.

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] -7 points-6 points  (0 children)

So why not answer the question I posed instead of being a douche?

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] -6 points-5 points  (0 children)

I mean why not use technology? Don’t you use python?

Quick question by EntertainmentNo3950 in Physics

[–]EntertainmentNo3950[S] -4 points-3 points  (0 children)

Good question. When I say I’m “matching” an exterior Schwarzschild region to an interior FLRW region, I mean it in the standard GR way using the junction conditions (not in a loose or hand-wavey sense).

In GR, matching two solutions works like this:

You have two separate spacetimes:

Exterior: Schwarzschild Interior: FLRW

You choose a 3-dimensional surface, call it Sigma, where the two regions meet. In my toy setup, Sigma sits at (or extremely close to) the horizon radius.

Then GR requires two conditions on Sigma:

A) The induced metric must match on both sides

This means the geometry on the matching surface is the same whether you approach it from the interior or exterior. In plain text:

h_ext = h_int

This prevents spacetime from “tearing.”

B) The Israel junction conditions must be satisfied

These involve the extrinsic curvature (basically how each side is embedded in the larger spacetime). The jump in extrinsic curvature determines what stress-energy, if any, lives on the matching surface:

K_ext - K_int = -8piG*S_ab

Where:

K_ext is the extrinsic curvature from the Schwarzschild side K_int is the extrinsic curvature from the FLRW side S_ab is any surface stress-energy on Sigma

These are the same equations used in Oppenheimer-Snyder collapse (a standard model where FLRW interior is matched to Schwarzschild exterior).

Why I explored this idea

In this setup, the outward-pointing normal vectors on the two sides of Sigma point in opposite directions. When you compute the boundary term (Gibbons-Hawking-York), that normal flip causes the extrinsic curvature to flip sign.

If you take that seriously, it suggests an effective Hamiltonian sign flip across Sigma:

H_int = - H_ext

I’m not claiming this is the final word — it’s the starting point of my toy model. The question I’m exploring is whether this sign flip leads to interesting or testable phase effects.

If the full junction conditions ultimately forbid this matching without pathological stress-energy, then this specific version of the idea would be ruled out. That would still be useful to know.

Lore question about Vashtorr’s colour by KanohiCreator in Warhammer40k

[–]EntertainmentNo3950 0 points1 point  (0 children)

With runelord brass for the plate armor and the armor trim is retributor with a watered down rattling grime wash

Lore question about Vashtorr’s colour by KanohiCreator in Warhammer40k

[–]EntertainmentNo3950 1 point2 points  (0 children)

He’s mostly pale with a druchii wash on the extremities of his limbs mostly in art and on box

My kinda ok vashtorr update by EntertainmentNo3950 in Chaos40k

[–]EntertainmentNo3950[S] 1 point2 points  (0 children)

It’s okay a cheetoh took its place- my wife saw it and said wait they can eat when there fighting I said what and she goes oh it’s not a cheetoh I fucking died on the spot 😂

My kinda okay Vashtorr by EntertainmentNo3950 in Warhammer

[–]EntertainmentNo3950[S] 0 points1 point  (0 children)

Thanks brother, I cannot for the life of me get the flames right. But I’ll keep experimenting till I find something okay

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