A Metric-Affine Superfluid Framework for Resolving the Hubble Tension and Cosmological Anomalies: The Sepsthropic Topological Lattice and Inter-tier Flux Dynamics

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_ 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 (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 Hubble Tension: Resolved as a scale-dependent kinematic superflow (5 gap). S₈ Tension: Attributed to hydrodynamic damping via superfluid viscosity. Cosmic Acceleration: Derived from Weyl dilatation and superfluid surface tension. Cosmic Dipole Anomaly: Explained via superflow advection and Weyl birefringence. CMB Lensing Anomaly (AL): Derived from Weyl-geometric path amplification. CMB Cold Spot: Identified as the primary L7 matter inflow node. Ho’oleilana Structure: Predicted as a primary geometric phase-lock node. The Giant Arc & Big Ring: Explained as acoustic torsional ridges and DSI harmonics. KBC Void: Result of axial centrifugal evacuation at the vortex core. "Axis of Evil": Alignment of multipoles via universal axial synchronization. ARCADE 2 Radio Excess: Superfluid synchrotron radiation from the rotating vacuum. CIB Monopole Excess: Thermal signature of the 115 Gly superfluid shell. EDGES 21-cm Anomaly: Result of torsional vacuum cooling. Nano-Hertz GWB (NANOGrav): Identified as the acoustic noise floor of the L6 superfluid. II. Galactic & Astrophysical Anomalies Vera Rubin Anomaly (Flat Rotation Curves): Torsion-modified Tully-Fisher relation. JWST "Universe Breakers" (z > 10): Vortex-catalyzed accretion and early matter flux. Bullet Cluster Displacement: Phase-decoupling of the superfluid vacuum from baryons. Cusp-Core Problem: Torsional repulsion and superfluid healing length caps. Missing Satellites Problem: Vortex-exclusion and DSI-resonance filtering. Too-Big-To-Fail Problem: Torsional expulsion of gas in massive subhalos. Galaxy Parity Violation: Chiral torsion inheritance from universal vorticity. Great Attractor: Identified as a torsional singularity node/stagnation point. El Gordo Cluster Velocity: Weyl-geometric infall acceleration and phase-slip. Quasar Growth Crisis: Super-Eddington accretion via torsional channeling. Satellite Plane Problem: Alignment along torsional streamlines. Odd Radio Circles (ORCs): Macroscopic superfluid vortex rings. "Dark Star" Candidates: Redshift bias in torsional massive objects. III. Particle Physics & Laboratory Anomalies W-Boson Mass Anomaly: Weyl-Higgs coupling and torsional self-energy. Muon g-2 Anomaly: Geometric vertex correction and torsional coupling. Proton Radius Puzzle: Mass-dependent orbital penetration of the "torsion wing. " Proton Spin Crisis: Geometric storage of angular momentum in torsion fields. Neutron Lifetime Puzzle: Weyl-geometric time dilation in beam experiments. Neutrino Mass Hierarchy: Torsional mass splitting and chiral potentials. Gallium Anomaly: Torsion-induced decoherence at short baselines. LSND & MiniBooNE Anomalies: Torsion-induced flavor mixing. B-Meson Flavor Anomalies: Weyl-geometric lepton non-universality. X17 Particle (Atomki): Torsional acoustic phase-slip resonance. Microscopic T-Violation: Chiral torsion and the geometric arrow of time. Reactor Antineutrino Anomaly (RAA): Weyl-scaled cross-section suppression. gₑ-2 Anomaly: Torsional self-energy in the electron wavepacket. GZK Limit Breach: Modified dispersion relations in the LNLSE vacuum. Lithium-7 Problem: Torsion-induced nuclear cross-section modification. Helium-3 Discrepancy: Torsional nucleosynthesis and Weyl-scale diffusion. IV. Local & Solar System Anomalies 'Oumuamua’s Acceleration: Weyl-geometric propulsion on high-aspect-ratio bodies. Tabby’s Star: Torsional lensing and geometric occultation. Satellite Flyby Anomaly: Axial-torsional Lense-Thirring amplification. G Measurement Divergence: Local torsional susceptibility variations. ANITA Upward Showers: Torsional reflection at the Earth's axial core. IceCube PeV Neutrinos: Axial torsional acceleration within the 1238 km ring. 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.