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June 1, 20260 citationsOpen Access

Understanding Phase Dynamics and Temporal Displacement in Extended Classical Mechanics

Physical Phase–Frequency Dynamics and the Emergence of Temporal Displacement: A Foundational Distinction between Geometric Phase (ϕ) and Energetic Accumulated Phase (x°) in Extended Classical Mechanics

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Authors

STSoumendra Nath Thakur

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Overview

Examines the relationship between phase and time in Extended Classical Mechanics, highlighting key distinctions.

Key Points

  • The study aims to clarify the relationship between phase and time in Extended Classical Mechanics, emphasizing that they are not physically interchangeable.
  • Developed a framework analyzing the phase–time relationship x°/(360°f) = Δt.
  • Distinguished between geometric phase (ϕ) and accumulated energetic phase (x°).
  • Explored the implications of phase evolution on temporal displacement.
  • Established that accumulated energetic phase x° directly influences temporal displacement Δt.
  • Confirmed that geometric phase ϕ is a modular descriptor, while x° is not confined to periodicity.
  • Argued that time represents physical change rather than an independent entity affecting phase.

Cite This Study

Soumendra Nath Thakur (2026) studied this question.

synapsesocial.com/papers/6a1d234302fbce9130638e82https://doi.org/10.5281/zenodo.20456841
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