The Oroboros Framework: Non-Local Infinite-Derivative Gravity and Quantum Core Bounce Dynamics in Relativistic Collapse

The Oroboros Framework explores gravitational singularity resolution and quantum core bounce dynamics during relativistic star collapse. Standard General Relativity predicts that collapsing matter crushed under extreme gravity reaches a point singularity of infinite density. The Oroboros model resolves this breakdown by applying Non-Local / Infinite-Derivative Gravity (IDG) featuring an analytic exponential form factor F(□) = exp(-□ / Λ_s^2), introducing a fundamental scale limit to gravitational compression. Key Derived Results & Parameters: • Curvature Cutoff: Enforces a finite maximum Kretschmann invariant limit of K_crit = c^6 / (hbar^2 * G^2) ≈ 1.47 × 10^139 m^-4, eliminating zero-volume spatial points. • Quantum Core Bounce: For a solar-mass system (1 M_☉), collapse halts at a finite core radius of r_min ≈ 7.28 × 10^-23 m, establishing a spatial energy density ceiling of ρ_max ≈ 1.23 × 10^96 kg/m³. • Macro-Thermodynamic Continuity: Preserves classical Schwarzschild horizon radii (r_s) and Hawking evaporation dynamics (T_H) at macroscopic scales while eliminating the internal singularity. This document compiles the core mathematical derivations, regularized metric parameters, and thermodynamic continuity checks.