r/IHCcosmology

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.

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.