Gravity as an Entropic Gradient Field (Φs)

This study introduces a theoretical framework for spacetime curvature groundednot in mass but in entropic gradients, demonstrating that quantisation emergesfrom, rather than underlies, physical reality. Crucially, this framework requires noprior quantum mechanical postulates: discrete phenomena arise naturally from topo-logical constraints of the field, in close analogy to quantised vortices in classicalsuperfluids. Unlike general relativity, where mass induces curvature, vacuum in inter-preted as a state of minimal saturation/entropy and maximal informational freedom.Gravitational phenomena emerge as compensatory flows triggered by local reduc-tions of informational freedom (i.e., increased saturation/entropy) that break intrinsicinformational symmetry. A scalar field Φs(x) encodes the local informational freedom (unsaturation); itsgradient governs acceleration through emergent geometric tension. Newtonian andEinsteinian gravity are recovered as limiting cases, and a covariant field equation isderived from first principles, without empirical fine-tuning. The apparent incompati-bility between gravity and quantum mechanics is resolved as a false dichotomy: bothemerge from the same entropic/informational substrate. Observables depend only ondifferences or gradients (∆Φs, ∇Φs); absolute entropy levels play no role.The model produces quantitative predictions: planetary magnetic dipole momentsvia the scaling M∝γωR4 (implying a mean surface field Bsurf ∼CM/R3), cor-rectly forecasting Earth’s dipole structure, Mars’s∼2.0 µT surface field, and theabsence of magnetism on Venus; Mercury’s perihelion advance, with an additional0.1 arcsec/century deviation testable by current instruments. A dimensionless cou-pling constant γ ≈0.15 appears consistently in independent domains, suggesting anew universal parameter. The framework further suggests a mechanism for regularising black-hole singu-larities through field saturation effects as saturation approaches its critical bound,eliminating divergences. Thus, gravity emerges as a macroscopic manifestation ofmicroscopic informational disequilibrium, encoded in Φs, governed by entropic gra-dients and symmetry loss. This offers not only falsifiable deviations from generalrelativity but also a conceptual resolution to the quantum-gravity problem by show-ing that gravity itself requires no quantisation, since quantisation is revealed as anemergent phenomenon.