28 May 2026

Extended Classical Mechanics (ECM) Unified Phase–Kernel Field Theory: From Quantum Transitions to Cosmological Structure via a Single Kernel Invariant

Soumendra Nath Thakur | ORCiD: 0000-0003-1871-7803
May 28, 2026

The ECM framework unifies quantum and cosmological phenomena through a single phase–kernel invariant structure, linking frequency, mass, space, time, and gravity as scale-dependent projections.It describes energy–mass equivalence, kernel decoupling, emergence of space and time, gravitational dynamics, curvature, entropy growth, cyclic resets, and global conservation, providing a comprehensive, resolution-scaled ontology of physical reality.

ECM establishes a unified description of physics in which all observed phenomena arise from a single invariant phase–kernel structure. Quantum mechanics, relativity-like geometric behavior, gravitational dynamics, and cosmological evolution are not separate theories but different projection regimes of one conserved field:

Extended Classical Mechanics (ECM) Unified Phase–Kernel Field Theory: From Quantum Transitions to Cosmological Structure via a Single Kernel Invariant 

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