Tripartite Cobordism Theorem: Chiral Separation, Dimensional Asymmetry, and Interstitial Tension in the Spacetime Reticle
Abstract
This article formalizes an exact analytical geometric resolution to the baryon asymmetry and the nature of cosmological acceleration. By replacing the concept of a "thermodynamic vacuum" with the infrastructure of an active spacetime reticle (Weil-Petersson manifold), we demonstrate that the primordial collapse did not induce an annihilation, but rather a spin-dependent topological segregation governed by fundamental continuous symmetries. By elevating the Dirac equation to a Hodge operator with torsion, coupled with the Yang-Mills fiber bundle and the Fokker-Planck-Kolmogorov (FPK) thermodynamic operator, the total geometry is redefined as a Tripartite Cobordism Mtot = Mbulk⊔𝜕BManti. The Hamiltonian obeys an asymptotic equipartition of 30 − 30 − 40. The 30% describes the matter extruded into the Bulk (𝐷= 11); the symmetric 30% describes the antimatter in an Antibulk of asymmetric dimensionality; the remaining 40% embodies the interstitial topological tension of the reticle (Λtopo = 1.105 × 10^−52 m^−2). The structural barrier of the cobordism 𝜕B prevents the collapse of the manifolds, macroscopically measuring as an asymptotic elastic stretching at 56 km/s/Mpc.
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BibTeX
@misc{tanan2026tripartite,
title = {{Tripartite Cobordism Theorem: Chiral Separation, Dimensional Asymmetry, and Interstitial Tension in the Spacetime Reticle}},
author = {Yassin Tanan},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23542577},
url = {https://zenodo.org/records/23542577},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Tripartite Cobordism Theorem: Chiral Separation, Dimensional Asymmetry, and Interstitial Tension in the Spacetime Reticle
AU - Yassin Tanan
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23542577
UR - https://zenodo.org/records/23542577
AB - This article formalizes an exact analytical geometric resolution to the baryon asymmetry and the nature of cosmological acceleration. By replacing the concept of a "thermodynamic vacuum" with the infrastructure of an active spacetime reticle (Weil-Petersson manifold), we demonstrate that the primordial collapse did not induce an annihilation, but rather a spin-dependent topological segregation governed by fundamental continuous symmetries. By elevating the Dirac equation to a Hodge operator with torsion, coupled with the Yang-Mills fiber bundle and the Fokker-Planck-Kolmogorov (FPK) thermodynamic operator, the total geometry is redefined as a Tripartite Cobordism Mtot = Mbulk⊔𝜕BManti. The Hamiltonian obeys an asymptotic equipartition of 30 − 30 − 40. The 30% describes the matter extruded into the Bulk (𝐷= 11); the symmetric 30% describes the antimatter in an Antibulk of asymmetric dimensionality; the remaining 40% embodies the interstitial topological tension of the reticle (Λtopo = 1.105 × 10^−52 m^−2). The structural barrier of the cobordism 𝜕B prevents the collapse of the manifolds, macroscopically measuring as an asymptotic elastic stretching at 56 km/s/Mpc.
ER -