Resolution of Schwarzschild Singularities: via Atomic-Scale Rebound Forces

Abstract: General Relativity predicts a physical singularity at the center of black holes, where density and spacetime curvature diverge to infinity. This paper proposes a resolution to the singularity paradox by introducing a high-order repulsive potential that becomes dominant at the atomic scale. We demonstrate that this modification, termed the "Atomic Seed" model, preserves standard Schwarzschild dynamics at macroscopic scales, maintaining strict consistency with the 43" per century perihelion precession of Mercury. By arresting gravitational collapse at a finite radius, the model provides a testable prediction for secondary gravitational wave echoes. Key Findings: Thermal Convergence: The internal energy density and temperature of the "atomic soup" converge precisely at the Planck Temperature, providing a physical ceiling to cosmological energy states. Geometric Link: We derive a non-singular metric where the core radius is defined by rₒ₄₄₃ = 11rₛ/2, ensuring the seed remains microscopic even for supermassive objects. Observational Signature: For a 30 solar mass binary merger, the model calculates a characteristic echo frequency of 20 Hz with a 0. 05-second delay, offering a specific pathway for observational verification via LIGO-Virgo-KAGRA data. This framework further addresses the black hole information paradox by preserving quantum states at a physical boundary and suggests a "Great Rebound" mechanism as a driver for cosmic inflation. Version 2. 0 Updates: Introduced the Planck Regulator Equation to explain the magnitude-25 beta explosion at t=0. Derived the formal Nair-Einstein Metric Tensor modification, linking classical pressure to spacetime geometry. Included Artifact Analysis and Monte Carlo Null Hypothesis results (50 trials) validating the 20 Hz resonance at 3. 64 significance. Resolved the core-scale discrepancy by distinguishing between the stable Atomic Seed and the Planck-limit rebound.