Singularity Resolution via Density-Triggered Phase Transitions: A Numerical Demonstration of Gravitational Bounce

Singularity Resolution via Density-Triggered Phase Transitions: A Numerical Demonstration of Gravitational Bounce Author: John GrahamORCID: 0009-0006-8704-4541Date: February 2026 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ SUMMARY This repository contains a numerical demonstration that gravitational collapse can be halted and reversed through density-triggered phase transitions, producing a gravitational bounce without invoking quantum gravity. KEY RESULT: After 77 versions of iterative development, we achieved a clean gravitational bounce: - Bounce time: t = 0.0245- Minimum scale factor: B_min = 0.9876- Maximum density: ρ_max = 11.8- Gate activation: g₁ = 90%- Singularity: AVOIDED ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ THE PHYSICS The Problem: Classical general relativity predicts that gravitational collapse leads to singularities—points where curvature diverges and physics breaks down. Our Solution: We show that matter phase transitions can halt collapse before singularity formation through: 1. Density gates that activate new degrees of freedom at critical densities2. Phase fields representing order parameters for different matter phases3. Negative pressure that grows with gate activation, reversing collapse The Bounce Cycle: COLLAPSE → DENSITY RISES → GATES ACTIVATE → NEGATIVE PRESSURE → BOUNCE → EXPANSION ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ FILES INCLUDED - Gravitational_Bounce_Paper.pdf — Full paper with theory and results- SLT_Solver_v77_BOUNCE.py — Complete Python simulation code- slt_v77_complete_bounce.png — Visualization of the bounce cycle ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ SCIENTIFIC SIGNIFICANCE This demonstrates: 1. Singularity resolution without quantum gravity — the matter sector alone can prevent singularity formation 2. Self-regulating dynamics — the system automatically halts collapse when density exceeds thresholds 3. Proof-of-principle for black hole interiors — if this mechanism operates in nature, black hole singularities may be replaced by bounces 4. Implications for cosmology — the Big Bang singularity might be replaced by a bounce from a prior contracting phase ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ COMPARISON TO LOOP QUANTUM GRAVITY LQG Bounce: Quantum geometry at Planck density (~10⁹⁶ kg/m³), requires modified gravityThis Model: Matter phase transitions at nuclear/QCD density (~10¹⁸ kg/m³), uses standard GR ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ IMPLICATIONS For Black Holes:- Interior singularity replaced by regular bounce- Information not destroyed- Possible "Planck star" or remnant formation For Cosmology:- Big Bang singularity replaced by bounce- Natural transition from prior contracting phase- Cyclic cosmology possible ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ RELATED WORK This is part of the Universal Coherence Theory (UCT) framework. See also:- "A Universal Coherence Law for the L-H Transition" (Zenodo, 2025)- "A Universal Coherence Framework for Fusion Plasmas" (Zenodo, 2025)- "The De Sitter Coherence Floor" (Zenodo, 2025)