An Expanded 1/x^2 Pattern: From Classical Physics to Quantum Gravity

This study explores the ubiquitous presence of inverse-square relationships across physics, biology, and information systems. We identify over 25 instances where physical quantities or interactions diminish according to a 1/x^2 scaling law. This universal pattern manifests in classical forces like gravity and electromagnetism, quantum systems through Fisher information and suppression effects, and even biological and socioeconomic systems. We propose that this universality stems from the geometric spread of influence in three-dimensional space and fundamental principles of information dilution. Special attention is given to quantum gravitational suppression, where quantum effects diminish proportionally to 1/E^2 at high energies, potentially resolving longstanding questions about quantum-classical transitions and gravity at extreme scales.