The Planck Epoch: Phase Progression from 't₀' to Planck Time 'tₚ' and the Canonical Definition of Gravity in Extended Classical Mechanics

This work presents a conceptual interpretation of the Planck epoch within the framework of Extended Classical Mechanics (ECM). Rather than treating Planck time (tₚ) as an isolated numerical constant, the present formulation interprets it as the completion of a fundamental phase cycle representing the smallest physically meaningful temporal interval. Within this interpretation, primordial temporal structure emerges through a cumulative phase progression from an abstract reference state (t₀) to the terminal phase state corresponding to Planck time. The full phase cycle (Δf₀ = 1 Hz = 360°) represents the minimal domain within which frequency-driven energy transformation establishes measurable temporal structure. Using this framework, gravity is defined canonically in ECM as the reversible mass-binding condition arising from the spatial gradient of residual potential energy generated during frequency-driven mass manifestation. The resulting interaction between matter mass and negative apparent mass produces the effective gravitational field. This formulation provides an alternative conceptual interpretation of primordial cosmological dynamics in which the Planck epoch represents the first physically meaningful phase domain through which energy–frequency transformations establish measurable temporal and gravitational structure.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-08
DOI
https://doi.org/10.5281/zenodo.18916393
Primary Topic
Cosmology and Gravitation Theories
Type
article
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0.00
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article

The Planck Epoch: Phase Progression from 't₀' to Planck Time 'tₚ' and the Canonical Definition of Gravity in Extended Classical Mechanics

Soumendra Nath Thakur
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

The Planck Epoch: Phase Progression from 't₀' to Planck Time 'tₚ' and the Canonical Definition of Gravity in Extended Classical Mechanics

Soumendra Nath Thakur
article en

Abstract

This work presents a conceptual interpretation of the Planck epoch within the framework of Extended Classical Mechanics (ECM). Rather than treating Planck time (tₚ) as an isolated numerical constant, the present formulation interprets it as the completion of a fundamental phase cycle representing the smallest physically meaningful temporal interval. Within this interpretation, primordial temporal structure emerges through a cumulative phase progression from an abstract reference state (t₀) to the terminal phase state corresponding to Planck time. The full phase cycle (Δf₀ = 1 Hz = 360°) represents the minimal domain within which frequency-driven energy transformation establishes measurable temporal structure. Using this framework, gravity is defined canonically in ECM as the reversible mass-binding condition arising from the spatial gradient of residual potential energy generated during frequency-driven mass manifestation. The resulting interaction between matter mass and negative apparent mass produces the effective gravitational field. This formulation provides an alternative conceptual interpretation of primordial cosmological dynamics in which the Planck epoch represents the first physically meaningful phase domain through which energy–frequency transformations establish measurable temporal and gravitational structure.

Zenodo (CERN European Organization for Nuclear Research)
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Cosmology and Gravitation Theories
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