Published October 21, 2026
| Version v3
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The Topological Hubble-Siphon: Chern–Simons Quantization, Non-Markovian Cosmic Memory, and the Resolution of the Cosmological Constant Problem
Description
This repository hosts Volume III of the Navier–Stokes–Boukratem (NSB) framework, establishing a non-perturbative, topological closure for cosmological and gravitational sectors within a continuous fluid spacetime.
Core Theoretical Foundations:
- Newtonian Constant G: Derived as the internal transverse compressibility field of the continuous medium, fixing \(G = 6.67430 \times 10^{-11} \text{ m}^3\cdot\text{kg}^{-1}\cdot\text{s}^{-2}\) (CELL TOPOLOGY-01).
- Topological Level 3.5 & Witten Phase Closure: Governed by a non-Abelian PT-symmetric Chern-Simons gauge theory at level \(k = 3.5\), anchoring at the 11-dimensional M-theory ceiling (CELL TOPOLOGY-05).
- Antimatter Vortex Duality: Establishes \(PT \equiv CPT\), defining antimatter as the geometric inverse of a matter vortex loop (\(\Gamma_+ = -\Gamma_-\)).
- Bohr Radius Displacement: Yields a \(0.026\%\) visco-elastic expansion offset (\(\kappa_\partial = 0.529315\)) from Ray-Singer analytic torsion (CELL TOPOLOGY-02).
Cosmological Integration:
- Dark Sector: Dark Matter is framed as kinematic drag offset, and Dark Energy as bulk impedance (\(\zeta_0 = 1.2662 \times 10^8 \text{ Pa}\cdot\text{s}\)), bounding vacuum density at \(\rho_{\text{obs}} = 9.22384 \times 10^{-27} \text{ kg}\cdot\text{m}^{-3}\) (CELL TOPOLOGY-03).
- Mass Cutoff & Telemetry: Bounds primordial galaxy mass at \(M_{\text{galaxy,max}}(10) = 6.00 \times 10^{11}\) solar masses and predicts LISA gravitational wave phase shifts alongside ngEHT flux depressions.
Registries: Monitored under CELL TOPOLOGY modules 01 through 05. Full technical details and proofs can be found in the referenced repository.
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Dates
- Issued
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2026-09-27Initial publication of Volume III on Zenodo repository.