The Kerr-Salpeter Cosmological Model: Geometric Unification of the Hubble Tension, JWST Anomalies, and Dark Energy

This manuscript proposes a unified cosmological framework grounded in a single, strictly geometric postulate: our observable universe resides within the interior of a hyper-massive, sub-extremal Kerr black hole (a 0. 99M). Applying Occam's Razor to modern cosmology, this model sharply contrasts with the standard CDM paradigm, which continuously requires the addition of ad hoc, unobserved parameters (e. g. , scalar inflaton fields, vacuum dark energy, new physics beyond the Standard Model) to reconcile theory with observational data. Instead, we demonstrate that a purely geometric approach is sufficient. By applying the established laws of General Relativity and the Einstein-Cartan-Sciama-Kibble (ECSK) theory to a rotating black hole interior—leveraging macroscopic frame-dragging, gravitomagnetic torque, and centrifugal kinematics—the entirety of current cosmological anomalies can be resolved through pure physical determinism. To facilitate mathematical verification, this manuscript is structured to demonstrate exactly how internal rotational dynamics systematically resolve these specific crises. Readers can refer directly to the following sections for analytical proofs: Sections 4 & 5 The Singularity and Inflation: The classical singularity is replaced by a non-singular Einstein-Cartan bounce driven by fermionic spin-torsion coupling at the Cartan density limit. We mathematically derive an exponential de Sitter expansion induced solely by kinematic vorticity (obviating the Inflaton), and utilize Wands' duality to explain the precise origin of primordial scalar perturbations (nₛ 0. 965). Section 9 The JWST Crisis and Galaxy Formation: The rotating spacetime background induces a macroscopic Lense-Thirring torque that reduces the critical Kerr-Jeans mass by 35\% while actively dissipating primordial angular momentum. This geometrically circumvents the Angular Momentum Catastrophe, allowing for the monolithic and stable collapse of hyper-massive primordial galaxies at z > 10. Section 10 Geometric Dark Energy: Analytical proof that the late-time accelerated expansion (initiating at z 0. 6) is not driven by the vacuum energy catastrophe. It is the mandatory kinematic consequence of the comoving spatial slice crossing the inherent centrifugal repulsive threshold (rₑ₄₏) of the parent Kerr geometry. Section 11 The Hubble Tension (H₀): The persistent discrepancy in expansion rates between the local universe and the CMB is kinematically resolved by a macroscopic elongation factor (= 13/12) derived exactly from the rotational shear of the spacetime metric. Note on Manuscript Status (Living Document): This preprint is maintained as a "living document. " Because the Kerr-Salpeter framework yields strictly deterministic predictions across multiple interconnected domains of astrophysics and quantum cosmology, the theoretical edifice is continually being expanded. Future versions of this manuscript—integrating additional analytical derivations and explorations of information thermodynamics (such as the Covariant Entropy Bound) —will be versioned and published directly under this exact Zenodo record.