Published March 30, 2026 | Version V1.4.5-E

A Twist in Spacetime: Geometric Λ & Unifications in a Rotating Black Hole Universe

Authors/Creators

Description

We present RONDu1, a novel Kerr-type black hole universe (BHU) undergoing homologous phase-locked rotation and contraction. Spacetime expansion/stretch scalar, SU is synthesized, applying BHU geometry within Poisson elasticity. √SU amplifies curvature, yielding an epoch-varying cosmological constant ΛRu, consistent with GR/ΛCDM. SU2 augments Misner-Sharp mass into Dark Gravity (DG) (an alternative to dark matter) and decomposes into FLRW-like fractions. BHU kinematics: collapse rate, angular velocity, proper time, thermality, and cavity harmonics, derived from a Dynamic Horizon Photon (DHP) pump mechanism, source CMB and dark energy evolution in this non-inflationary, cold-collapse cosmogenesis. Interpreted as a self-similar projective foliation, spacetime preserves isotropy, Bianchi identity, KNdS embedding, and particle motion, while matching CMB acoustic scale (ℓA≈304) and PR4 CMB/BAO spectra. Monte Carlo analyses of large-scale structures (LSS) identify ~9.9Gpc as the fundamental Kerr-BHU eigenmode at ~4.8-6.4𝜎 significance. RONDu1 Hubble parameter HRu=c/r predicts meson energy (ħHRu~140 MeV) at confinement scale. Novel Bare Geometric Mass (BGM) energy induces resonant symmetry switching SU(3)↔SU(2)×U(1) with tetrahedral degeneracies creating quarks/fermions. We address H0/S8 tensions, bridge GR with QM, and propose resolutions to the cosmological constant problem (CCP), chirality, and primordial abundance problem.

 

Files

A Twist in Spacetime_ Geometric Λ & Unifications in a Rotating Black Hole Universe V1.456-Pub-Part.pdf

Additional details

Dates

Submitted
2025-07-22
Updated
2025-07-25
Corrected typos, Poisson ratio eq 4, side calculation for bulk modulus K. and references; Removed simplified form of lambda in GR, as incomplete.
Updated
2025-08-10
Fixed typographical errors, added clarification on the factor 1100 in curvature equation k
Updated
2025-09-10
Partially re-write for clarity. Added appendix A.1 to A.6 with derivations and proofs for GR, Isotropy, KNdS, and S8 resolution. Updated references
Updated
2026-03-30
Completed the full spectral CMB analysis BAO lensing, among other tests, developed the twist Lagrangian. Corrected the typographical errors.