Theoretical analysis uncovers a geometric origin for dark matter via topological slipping, indicating cosmic matter ratios arise naturally without requiring hypothetical particles.
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 (≈ 128 GeV), topological knots failed to fully anchor in the macroscopic 3D spatial dimensions, "slipping" into the transverse-time plane. Utilizing the principle of Local Time Freezing, we determine that the geometric probability of a knot successfully establishing an isometrically rigid 3D spatial anchor is precisely the volumetric Wunderlich limit, η^3 = 1/(3√3). Consequently, the primordial bare ratio of unanchored Dark Matter to anchored Baryonic Matter is exactly 3√3 ≈ 5.196. Because both sectors inherit the identical geometric CP-violating phase (π/3), this primordial ratio perfectly survives the matter-antimatter annihilation epoch, naturally converging with the standard cosmological observation (∼ 5.46) as a dynamic "dressing" of the bare ratio, without introducing new dynamic parameters or non-standard particles.
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Changho Cho (2026) studied this question.
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