Geometric Standard Model: Part VII. Primordial Cosmology and the Geometric Origin of Dark Matter via Topological Slipping

This paper extends the constrained 3+1+2 multitemporal framework into the primordial universe to resolve the origin and abundance of Dark Matter. When primordial thermal energies exceeded the Higgs vacuum elasticity limit (\approx 128 \text{ GeV}), topological knots failed to fully anchor in the macroscopic 3D spatial dimensions, "slipping" into the transverse-time plane. We calculate the geometric probability of successful 3D anchoring to be precisely the volumetric Wunderlich limit, \eta^3 = 1/(3\sqrt{3}). Consequently, the primordial ratio of unanchored Dark Matter to anchored Baryonic Matter is exactly 3\sqrt{3} \approx 5.196. Because both sectors inherit the identical geometric CP-violating phase (\pi/3), this primordial ratio perfectly survives the matter-antimatter annihilation epoch, naturally converging with the standard cosmological observation (\sim 5.46) without introducing new dynamic parameters or non-standard particles.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22225760
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Geometric Standard Model: Part VII. Primordial Cosmology and the Geometric Origin of Dark Matter via Topological Slipping

Changho Cho
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Geometric Standard Model: Part VII. Primordial Cosmology and the Geometric Origin of Dark Matter via Topological Slipping

Changho Cho
preprint en

Abstract

This paper extends the constrained 3+1+2 multitemporal framework into the primordial universe to resolve the origin and abundance of Dark Matter. When primordial thermal energies exceeded the Higgs vacuum elasticity limit (\approx 128 \text{ GeV}), topological knots failed to fully anchor in the macroscopic 3D spatial dimensions, "slipping" into the transverse-time plane. We calculate the geometric probability of successful 3D anchoring to be precisely the volumetric Wunderlich limit, \eta^3 = 1/(3\sqrt{3}). Consequently, the primordial ratio of unanchored Dark Matter to anchored Baryonic Matter is exactly 3\sqrt{3} \approx 5.196. Because both sectors inherit the identical geometric CP-violating phase (\pi/3), this primordial ratio perfectly survives the matter-antimatter annihilation epoch, naturally converging with the standard cosmological observation (\sim 5.46) without introducing new dynamic parameters or non-standard particles.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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