u/Prestigious_Dig5557

What if: Torsion-driven bounce instead of singularity via ECSK theory (Looking for math feedback on my v3 preprint)

hey everyone

​I just updated a preprint on zenodo (v3) and could really use some strict technical feedback on the math. The main critique of my earlier drafts was the lack of field equations, so I’ve now anchored the framework explicitly in the Einstein-Cartan-Sciama-Kibble (ECSK) extension.

​The core idea is looking at what happens at extreme collapse densities when you don't ignore intrinsic quantum spin. Using ECSK, the spin density (σ) of matter couples directly to spacetime torsion. The modified effective field equations (G_μν + K_μν = ...) show that at extreme densities, this spin-spin interaction introduces a negative pressure that scales with σ².

​So instead of collapsing into a point singularity, this repulsive torsion deterministically halts the collapse, causing a geometric inversion (a Kerr-Bounce). Based on fermionic spin-density saturation, I calculated a minimal geometric boundary of roughly 161.6 km for the baseline metric.

​The paper also explores how this bounce forces a topological unknotting (a thermodynamic zero-state entropy reset) and models Dark Energy (Λ_eff) not as a vacuum anomaly, but as a boundary energy flux tied to mass accretion from a mother black hole.

​I added a "Mathematical Addendum" to the new version to formally lay out the torsion repulsion terms and the boundary flux equations.

​Would love to get some critical eyes on this, especially regarding the tensor math for the contorsion framework and the entropy limits at the bounce.

​Preprint and full math are here: https://doi.org/10.5281/zenodo.21996297

Thanks in advance for tearing it apart!

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u/Prestigious_Dig5557 — 1 day ago