Universal Energy Constant Model (UECM): A Formal Thermodynamic, Quantum, and Gravitational Framework for Absolute Energy-Information Conservation

The Universal Energy Constant Model (UECM) postulates a fundamental invariant framework (C ≡ E_total) that mathematically bridges general relativity, quantum unitary evolution, and classical thermodynamics. Traditional cosmological paradigms treat structural dissolution and entropic decay as irreversible vectors toward thermal equilibrium (Heat Death) and absolute information loss. In contrast, UECM reframes structural dissolution (Laya) and subsequent reconstitution (Srijan) as deterministic, symmetry-preserving phase transitions within a closed, infinite-capacity cosmic manifold. By defining a global invariant through the integral of the time-time component of a generalized Energy-Information Tensor (T^00), the model ensures strict local and global conservation laws. Utilizing norm-preserving unitary operators and continuous state-space transformation matrices, UECM resolves the Black Hole Information Paradox, redefines peak thermodynamic entropy as a dynamic "Cosmic Midpoint" for structural genesis, and unifies the dark sector by modeling dark energy and dark matter as macroscopic manifestations of micro-scale information displacement.