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Published March 5, 2026 | Version v4
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A Metric-Affine Superfluid Framework for Resolving the Hubble Tension and Cosmological Anomalies: The Sepsthropic Topological Lattice and Inter-tier Flux Dynamics

Authors/Creators

  • 1. Independent Researcher

Description

Abstract

This paper introduces the Sepsthropic Topological Lattice, a comprehensive unified framework based on Weyl-Cartan Superfluid (WCS) theory. By departing from purely Riemannian geometry and adopting a metric-affine manifold defined by curvature, torsion, and non-metricity, this work proposes that the physical vacuum is a logarithmic Bose-Einstein Condensate (BEC) superfluid. Within this paradigm, the universe is modeled as a 7-level hierarchy of nested Bounded Manifolds, characterized by a 230 Gly interior diameter and a 115 Gly superfluid shell, all governed by Discrete Scale Invariance (DSI) and the Logarithmic Non-Linear Schrödinger Equation (LNLSE).

The framework provides a deterministic, mechanistic resolution to over 50 contemporary "crises" in physics and cosmology, effectively eliminating the need for dark matter, dark energy, or fine-tuned cosmological constants.

Key Theoretical Pillars

  • Metric-Affine Geometry: Relaxing the Levi-Civita constraint to incorporate Cartan torsion (spin-coupling) and Weyl non-metricity (scale invariance).

  • The Superfluid Vacuum Ontology: The vacuum as a high-density quantum fluid where the observable metric $g_{\mu\nu}$ emerges as an acoustic manifestation of collective excitations.

  • 7-Level Hierarchy & DSI: A fractal-like organization of the cosmos where stable matter exists only at discrete resonances of the scale factor ($\Lambda \approx 10^{20}$).

  • Axial Synchronization: The universal rotation is anchored by a 1238.42 km ring singularity (Critical Resonance Radius), providing a geometric tether for the Solar System and planetary cores.

Unified Resolutions to 50 Cosmological and Particle Anomalies

This work provides detailed derivations for the following empirical discrepancies:

I. Cosmological Tensions & Global Scale Anomalies

  1. Hubble Tension: Resolved as a scale-dependent kinematic superflow ($5\sigma$ gap).

  2. $S_8$ Tension: Attributed to hydrodynamic damping via superfluid viscosity.

  3. Cosmic Acceleration: Derived from Weyl dilatation and superfluid surface tension.

  4. Cosmic Dipole Anomaly: Explained via superflow advection and Weyl birefringence.

  5. CMB Lensing Anomaly ($A_L$): Derived from Weyl-geometric path amplification.

  6. CMB Cold Spot: Identified as the primary L7 matter inflow node.

  7. Ho’oleilana Structure: Predicted as a primary geometric phase-lock node.

  8. The Giant Arc & Big Ring: Explained as acoustic torsional ridges and DSI harmonics.

  9. KBC Void: Result of axial centrifugal evacuation at the vortex core.

  10. "Axis of Evil": Alignment of multipoles via universal axial synchronization.

  11. ARCADE 2 Radio Excess: Superfluid synchrotron radiation from the rotating vacuum.

  12. CIB Monopole Excess: Thermal signature of the 115 Gly superfluid shell.

  13. EDGES 21-cm Anomaly: Result of torsional vacuum cooling.

  14. Nano-Hertz GWB (NANOGrav): Identified as the acoustic noise floor of the L6 superfluid.

II. Galactic & Astrophysical Anomalies

  1. Vera Rubin Anomaly (Flat Rotation Curves): Torsion-modified Tully-Fisher relation.

  2. JWST "Universe Breakers" ($z > 10$): Vortex-catalyzed accretion and early matter flux.

  3. Bullet Cluster Displacement: Phase-decoupling of the superfluid vacuum from baryons.

  4. Cusp-Core Problem: Torsional repulsion and superfluid healing length caps.

  5. Missing Satellites Problem: Vortex-exclusion and DSI-resonance filtering.

  6. Too-Big-To-Fail Problem: Torsional expulsion of gas in massive subhalos.

  7. Galaxy Parity Violation: Chiral torsion inheritance from universal vorticity.

  8. Great Attractor: Identified as a torsional singularity node/stagnation point.

  9. El Gordo Cluster Velocity: Weyl-geometric infall acceleration and phase-slip.

  10. Quasar Growth Crisis: Super-Eddington accretion via torsional channeling.

  11. Satellite Plane Problem: Alignment along torsional streamlines.

  12. Odd Radio Circles (ORCs): Macroscopic superfluid vortex rings.

  13. "Dark Star" Candidates: Redshift bias in torsional massive objects.

III. Particle Physics & Laboratory Anomalies

  1. W-Boson Mass Anomaly: Weyl-Higgs coupling and torsional self-energy.

  2. Muon $g-2$ Anomaly: Geometric vertex correction and torsional coupling.

  3. Proton Radius Puzzle: Mass-dependent orbital penetration of the "torsion wing."

  4. Proton Spin Crisis: Geometric storage of angular momentum in torsion fields.

  5. Neutron Lifetime Puzzle: Weyl-geometric time dilation in beam experiments.

  6. Neutrino Mass Hierarchy: Torsional mass splitting and chiral potentials.

  7. Gallium Anomaly: Torsion-induced decoherence at short baselines.

  8. LSND & MiniBooNE Anomalies: Torsion-induced flavor mixing.

  9. B-Meson Flavor Anomalies: Weyl-geometric lepton non-universality.

  10. X17 Particle (Atomki): Torsional acoustic phase-slip resonance.

  11. Microscopic T-Violation: Chiral torsion and the geometric arrow of time.

  12. Reactor Antineutrino Anomaly (RAA): Weyl-scaled cross-section suppression.

  13. $g_e-2$ Anomaly: Torsional self-energy in the electron wavepacket.

  14. GZK Limit Breach: Modified dispersion relations in the LNLSE vacuum.

  15. Lithium-7 Problem: Torsion-induced nuclear cross-section modification.

  16. Helium-3 Discrepancy: Torsional nucleosynthesis and Weyl-scale diffusion.

IV. Local & Solar System Anomalies

  1. 'Oumuamua’s Acceleration: Weyl-geometric propulsion on high-aspect-ratio bodies.

  2. Tabby’s Star: Torsional lensing and geometric occultation.

  3. Satellite Flyby Anomaly: Axial-torsional Lense-Thirring amplification.

  4. $G$ Measurement Divergence: Local torsional susceptibility variations.

  5. ANITA Upward Showers: Torsional reflection at the Earth's axial core.

  6. IceCube PeV Neutrinos: Axial torsional acceleration within the 1238 km ring.

  7. FRB Periodicities: Vortex precession and torsional limit cycles.

Methodology

The framework utilizes the Palatini variational principle to derive field equations from a unified action containing Weyl-Cartan and Logarithmic Superfluid terms. Numerical relativity is addressed through a modified 3+1 BSSN formulation that accounts for auxiliary non-Riemannian fields.

Keywords: Metric-Affine Gravity, Weyl-Cartan Superfluid, Hubble Tension, Dark Matter Alternatives, Bose-Einstein Condensate Vacuum, Discrete Scale Invariance, Quantum Cosmology, Torsion, Non-Metricity.

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Additional details

Dates

Issued
2026-02-21
Date of formal release as a paper on Zenodo.
Created
2026-02-08
The date the final draft of the research paper and the mathematical derivations were completed.

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