Emergent Gravity via Information Density Thresholds: A Comparative Analysis of Stable Substrates and Bond-Dissociation Energy

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Original abstract

This paper presents a non-continuous mathematical framework defining gravity not as a fundamental background force, but as an emergent phenomenon born from electromagnetic gridlock. By evaluating empirical parameters from the 2021 Westphal-Aspelmeyer milligram-scale gravitational experiment (the "Ladybug" experiment), we isolate the exact threshold required for localized gravity to overpower subatomic forces and manifest macroscopically. We evaluate an isolated, closed system consisting strictly of a stable Hydrogen-1 (H1) substrate and the kinetic energy liberated via Hydrogen-2 (H2) bond-dissociation. We demonstrate that an object's external gravitational field activates if and only if its structural information density crosses a strict empirical threshold of 5.381022 bits within a localized volume. Finally, we implement the Law of Large Numbers at the infinite limit to prove how continuous macroscopic gravity emerges naturally from these discrete subatomic events without requiring external forces. A Large Language Model (LLM) was used as a tool during the writing of this manuscript to help structure the layout, correct formatting, and articulate the physical concepts and arguments clearly. All core theories, calculations, and final interpretations remain the original work of the authors.

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