Holographic Information Stiffness: Renormalizing General Relativity and the Gravitational Constant from the Qubit Entropy Bound S = A/4

This manuscript addresses two of the most persistent foundational questions in gravitational physics: the origin of the Einstein–Hilbert action and the numerical value of Newton’s constant G. Since 1915, general relativity has stood as a towering achievement of human intellect, yet its core equation still contains two “bare parameters” that are input by hand rather than derived from deeper principles. Why this action? Why this coupling strength? We demonstrate that both parameters can be understood as emergent properties of an underlying virtual information space. The coefficient 1/4 in the Bekenstein–Hawking entropy—long regarded as a mysterious code inscribed on spacetime—is recognized as the universal entropy density of quantum information geometry. And Newton’s constant G is not a fundamental parameter but a local, matter-dependent stiffness of the virtual space, renormalized by the entropy density gradient of matter. The result is a coherent picture in which gravity is neither a fundamental interaction nor an intrinsic property of geometry, but rather the macroscopic elastic response of virtual space as it maintains its maximum entropy density against matter-induced information perturbations. This perspective offers a possible bridge between quantum information theory and gravity, and provides a new conceptual foundation for understanding the nature of physical constants. Video: https://www.youtube.com/watch?v=Q5mqPWbZJcA