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February 19, 20260 citationsOpen Access

The Master Phase Transition in Extended Classical Mechanics: Physical Meaning and Empirical Basis

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STSoumendra Nath Thakur

Key Points

  • This research aims to define the master phase transition in extended classical mechanics and its implications for cosmological emergence.
  • Formulated the physical meaning of the master phase transition using energy-frequency equivalence at the Planck stabilization boundary.
  • Analyzed deterministic normalization processes governed by an ECM proportionality constant.
  • Investigated behavior across cosmological phases without invoking singular origins.
  • Established that the Planck scale acts as a transition surface rather than a singularity.
  • Demonstrated that energy redistribution correlates with kinetic emergence and mass formation.
  • Showed energy amplification is driven by frequency dominance, preventing infinite-density conditions.

Abstract

Extended Classical Mechanics (ECM) introduces a physically governed master phase transition through which high-frequency energetic states normalize into emergent mass, spacetime structure, gravitation, and kinetic dynamics. Rather than invoking singular origins or explosive creation models, ECM describes cosmic emergence as a continuous frequency-driven transformation constrained by fundamental physical constants. This work formulates the physical meaning of the ECM Master Phase Transition using energy-frequency equivalence at the Planck stabilization boundary, while demonstrating that pre-Planck dynamics are governed by deterministic normalization through an ECM proportionality constant. The Planck scale is shown to function as a transition surface rather than a singularity, preserving finite mass behaviour with only infinitesimal manifestation corrections during early emergence. The manifestation principle −ΔPEᴇᴄᴍ ↔ ΔKEᴇᴄᴍ ↔ ΔMᴍ provides a unified mechanism linking energy redistribution, kinetic emergence, and matter formation across cosmological phases. Energy amplification is driven by frequency dominance rather than mass divergence, naturally eliminating infinite-density conditions. Together, these results establish ECM as a coherent phase-emergent cosmological framework in which physical reality arises through regulated transformation dynamics, offering a singularity-free, physically consistent alternative to conventional origin models.

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Cite This Study

Soumendra Nath Thakur (2026) studied this question.

synapsesocial.com/papers/6996a7ffecb39a600b3ee392https://doi.org/10.5281/zenodo.18662701
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