ΔQ–ΔΦ–ΔΨ Unified Physics Framework: Contextual Identity as the Foundation of Energy, Geometry, and Information

This work presents the ΔQ–ΔΦ–ΔΨ Unified Physics Framework, a comprehensive model that integrates energy, geometry, and information under a single contextual identity principle. The ΔQ metric captures contextual energy variation; ΔΦ describes geometric phase gradients; and ΔΨ encodes entropic–informational flux. Together, they form a coherent structure that bridges General Relativity, Quantum Mechanics, and cosmological dynamics without requiring dark matter or dark energy. The framework reproduces classical limits (Poisson equation, weak-field GR), yields quantum-scale predictions (contextual phase drift, frequency shifts, entropic coherence), and offers testable astrophysical outcomes including rotation curves, lensing behavior, CMB damping, and Hubble-tension resolution. Additionally, the model proposes experimental pathways via atomic clocks, interferometry, photon-correlation setups, and neural–photonic response measurements. This manuscript consolidates the theoretical foundation, mathematical derivations (Lagrangian formalism, Noether currents, stability tensors, contextual field equations), and empirical predictions of Contextual Identity Physics (CIP). It represents a unified paradigm where existence is defined not by absolute quantities, but by relational-contextual variations encoded by ΔQ.