Dense Matter Organization and Emergent Gravity: An Entropy-Based Unification of General Relativity and Quantum Information

We present a conceptual framework linking gravitational curvature to entropy gradients arising from dense matter organization, grounded in recent theoretical advances in entropic gravity and validated against observational data from LIGO gravitational-wave events (p. 1). Our central hypothesis posits that as matter concentrates at extreme densities, the relative entropy between the quantum information encoded in matter fields and the ambient spacetime metric increases sharply, driving emergent gravitational curvature through an entropy-minimization principle (p. 1). Using public gravitational-wave data from GW150914 (binary black holes) and GW170817 (binary neutron stars), we demonstrate that horizon entropy increases correlate with matter density compression, supporting an informational interpretation of gravity rather than purely geometric one (p. 1). This work bridges general relativity, quantum mechanics, and thermodynamics, suggesting gravity may be an emergent phenomenon tied to quantum information organization in matter-spacetime systems (pp. 1, 10). # Dense Matter Organization and Emergent Gravity **v1.1 - D_rel Calculations + Validation** (Jan 27, 2026) ## Abstract v1.1 adds quantitative relative entropy D_rel calculations (Bianconi extension), NICER neutron star radius validation (Riley et al. 2021), Jacobson thermodynamic GR connection, and LIGO O4 predictions. **Early metrics**: 41 views/23 downloads (10h post-upload, 56% conversion). Tests density compression → entropy gradients → emergent curvature using GW150914/170817 data. ## 1. Introduction Emergent gravity theories propose spacetime geometry arises from thermodynamic degrees of freedom. This work extends Bianconi's network-entropic framework to gravitational waves, testing whether observed merger dynamics reflect entropic reorganization. ## 2. Theoretical Framework ### 2.4 Relative Entropy Quantification (NEW) **Bianconi relative entropy** (Phys Rev D 2025):