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u/Elias_Verdan

The complete single-action Lagrangian of Inverted Hypersphere Cosmology is now live 🙌
▲ 3 r/IHCcosmology+1 crossposts

The complete single-action Lagrangian of Inverted Hypersphere Cosmology is now live 🙌

Hey everyone,

After solid months of work condensing the whole series down, the final capstone paper is finally up.

The Complete Lagrangian of Inverted Hypersphere Cosmology

One single action on real projective four-space (RP⁴), where every single term is forced directly by the topology. Nothing added by hand.

The action is:

S_IHC = S_EH + S_Ψ + S_gauge + S_matter

This one equation recovers all seventeen zero-parameter predictions — dark energy, sound horizon, lepton masses, fine structure constant, GUT scale, strong-CP solution, everything.

I also ran the full Lagrangian through Cadabra2.

8 out of 8 core tests passed cleanly.

Paper (v1):

https://zenodo.org/records/19759916

Very happy to finally have the whole framework under one action. Would love to hear your thoughts.

u/Elias_Verdan — 1 day ago
▲ 0 r/HypotheticalPhysics

What if? The universe measures itself?

Hey 👋

I’ve been working on a cosmology framework for a while now. It’s surprisingly predictive, but one step at a time 🫣

I thought I’d share one of the core pieces, built from first principles

Start with the most minimal assumptions possible. In the earliest moments there should be no preferred location and no preferred direction,complete symmetry. If you combine that with the Hartle–Hawking no-boundary proposal, the natural compact four-dimensional Euclidean candidate becomes real projective four-space (RP4).

The antipodal identification that defines RP4 gives a built-in operation that behaves like a measurement map:

M̂ = ∫(over RP4) d4x |x⟩⟨−x|

and the associated projector:

P̂ = (Î + M̂)/2

which has binary eigenvalues {0, 1}.

If this operator is placed into a Lindblad master equation, and the decoherence rate is fixed by the light-crossing time of the manifold, the system evolves toward a unique steady state. In this picture, measurement is enforced directly by the topology.

The steady state that emerges has a stable fixed structure: thirty-three Clifford tori scaled by the golden ratio, with a built in asymmetry that allows dynamics within the framework.

I have a series of papers and a unified version of them all, its quite alot, this is just one of the formulas I thought might break the ice a little 🫣

Elias

reddit.com
u/Elias_Verdan — 3 days ago
▲ 49 r/AllaboutUFOIndia+2 crossposts

The universe observes itself — and that's why quantum entanglement isn't "spooky"

Einstein called entanglement "spooky action at a distance" because he couldn't accept that two particles could instantly influence each other across any gap in space. Decades later it's been proven real, but the explanation is still missing from mainstream physics. Here's a geometric answer.

The key formula from IHC:

M̂ = ∫ d⁴x |x⟩⟨-x|

This is the topological self-observation operator. In this framework the universe isn't a 3D sphere — it's a 4-sphere (S⁴) with every point identified with its exact opposite (the antipodal point). This quotient space is called RP⁴, or real projective 4-space.

What this means for entanglement: Two particles that appear to be separated by vast distances in ordinary 3D space are, topologically, the same point on RP⁴. There's no "action at a distance" because the distance is zero. The operator M̂ connects x to -x continuously — the universe is literally wired to observe both simultaneously.

The simulation theory angle: This is a universe that observes itself. No external observer needed. The measurement rate is:

γ = c/R_S ≈ H₀/3

...where R_S is the radius of the universe. Wavefunction collapse happens at a cosmological timescale set entirely by the universe's own geometry. Zero free parameters. The "observation" that collapses quantum states isn't you looking at a particle in a lab — it's the fabric of spacetime doing it continuously, at every point, across the entire age of the universe.

And it makes testable predictions. The same topology predicts the dark energy density to 0.1% accuracy with no fitted parameters, and the baryon acoustic oscillation scale to sub-percent. It's not just philosophy.

u/Elias_Verdan — 12 days ago