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

Year: 2026
Type: article
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W7225433047
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