Entropy Gradient Theory of Time: Core Framework and Quantum-Scale Extension

This Zenodo record unites three complementary papers that develop the Entropy Gradient Theory of Time (EGT).(1) Entropy Gradient Theory of Time: A Synthesis of Thermodynamic Modulation and Relativistic Structure formulates the macroscopic framework: local time flow is modulated by the spatial entropy gradient t=f(∣∇S∣)t=f(|\nabla S|)t=f(∣∇S∣) through an entropy-dependent conformal scaling of the metric that preserves null cones and the local invariance of ccc.(2) Entropy Gradient Theory of Time at Quantum Scale: Entanglement, Information, and Temporal Reversibility explores quantum implications—linking entanglement entropy to local time modulation, suggesting transient negative-time intervals within decohering subsystems, and proposing laboratory and computational tests.Together, the two papers bridge thermodynamics, relativity, and information theory, outlining experimental and cosmological consequences of an entropy-driven temporal metric. (3) An Entropy-Gradient Hypothesis for Flat Galactic Rotation Curves without Particle Dark Matter: From Lorentz Time Dilation to a Logarithmic Entropy Field