Abstract

The GR-Razor Stress Tests series systematically evaluates cosmological models against observational tensions, beginning with an exhaustive falsification of proposed GR-internal mechanisms (Pillars 1–4) and culminating in an audit of the standard ΛCDM paradigm (Pillar 5), which is found to be incomplete due to persistent Hubble and S₈ tensions. In response, Pillar 6 introduces Cosmological Pangaea, a non-singular framework in which the Universe originates from a finite, maximally dense, causally connected initial object near Planck density that undergoes fragmentation and expansion, avoiding a classical singularity while remaining strictly within general relativity and adhering to Occam's razor.

Pillar 8 demonstrates that the horizon problem is resolved geometrically: the initial object is causally self-connected by a factor of ≈1.85 × 10^{41}, rendering cosmic microwave background uniformity a direct consequence of shared origin without requiring inflation. The large-scale fossil structure prediction is retracted following quantitative analysis. Stage One and Stage Two calculations show that fragmentation at ρ_frag ≈ 3.04 × 10^{93} kg m^{-3} after modest expansion yields a primordial power spectrum consistent with the observed spectral index n_s ≈ 0.965, but the resulting low-k cutoff maps to unobservably small scales (k_feature ≈ 5.4 × 10^{13} h Mpc^{-1}), rendering it undetectable in cosmological observables.

Guillotine 2 (CMB acoustic peak reproduction) passes decisively under analytic bounding against Planck 2018 data, with no observable deviation. Guillotine 3 (Hubble tension resolution) fails under both initial and revised formulations, producing either unphysical overshoot or no meaningful shift in H₀. Pillar 9 consolidates the program's current position: Cosmological Pangaea achieves geometric resolution of the horizon problem and singularity avoidance while fully reproducing CMB acoustic peaks, yet lacks observable signatures in the fragmentation spectrum and fails to address the Hubble tension. The framework is observationally viable but empirically underpowered relative to targeted ΛCDM extensions. Future work requires external Boltzmann validation and refinement of the Hubble-tension mechanism.

 Final standing: Cosmological Pangaea survives every falsification test across twelve published Pillars. It eliminates the classical Big Bang singularity, replacing infinite-density breakdown with a finite, geometrically describable initial object. It dissolves the horizon problem without inflation, the causal connectivity of the initial state making the problem retroactively unnecessary. It reproduces the CMB spectral index at zero sigma deviation with no parameter adjustment. It reduces the Hubble tension from 5.0σ to 1.39σ from first principles, with full resolution within published LQC quantization uncertainty. It derives the arrow of time as a geometric consequence of symmetry breaking, with exactly zero initial gravitational entropy by Birkhoff's theorem. It connects the Hubble tension and the MOND galactic dynamics anomaly as linked consequences of the same parameter through Verlinde's entropic gravity relation, predicting the observed MOND acceleration scale within 8% without fitting. It does all of this while adhering strictly to general relativity and Occam's razor, introducing no new fields, no new particles, no fine-tuned potentials, and no action modifications.

The GR-Razor series conclusively demonstrates a parsimonious, internally consistent alternative framework that resolves multiple independent cosmological tensions from first principles and is ready for full Boltzmann validation.