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Soumendra Nath Thakur
ORCiD: 0000-0003-1871-7803
Tagore's Electronic Lab, India
Correspondence: postmasterenator@gmail.com or postmasterenator@telitnetwork.in
March 08, 2026
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.
Keywords: Extended Classical Mechanics, Planck Epoch, Planck Time, Frequency–Energy Equivalence, Phase Progression, Emergent Gravity, Residual Potential Energy
During the primordial frequency transition (f₀ ⇒ fₚ) through the fundamental phase cycle (Δf₀ = 1 Hz = 360°), this residual potential energy appears as negative apparent mass (−Mᵃᵖᵖ). The interaction between matter mass (Mᴍ) and negative apparent mass produces the effective gravitational field (gᵉᶠᶠ).
Unlike General Relativity, where gravity is interpreted as curvature of spacetime, Extended Classical Mechanics interprets gravity as a measurable redistribution of energy and mass arising from frequency-driven transformations of physical systems.
Figure: 360° primordial Planck epoch phase progression cycle
Planck time (tₚ) should not be interpreted merely as a single isolated numerical value. A duration is defined by the difference between two states rather than by a number alone. For example, a duration of ten minutes represents the interval between 0 minutes and 10 minutes.
Similarly, Planck time may be interpreted as the difference between an initial reference state (t₀) and the terminal state (tₚ).
Although tₚ represents the smallest physically meaningful unit of time, the reference state (t₀) functions as an abstract boundary condition, since any interval smaller than Planck time lies outside the domain of physically measurable temporal structure.
Frequency progression
When the cycle completes at
the full progression corresponds to one Planck time interval (tₚ).
Thus, the domain between t₀° and t₃₆₀° — representing completion of a full phase cycle (Δf₀ = 1 Hz = 360°) — defines the Planck epoch in this interpretation.
The Planck epoch therefore represents the primordial phase domain within which frequency-governed energy transformation progressively establishes the first physically meaningful temporal interval, culminating in the emergence of Planck time (tₚ).
Within this framework, the Planck epoch is described through the energy-equivalence principle together with the frequency–energy equivalence relation, where Planck time emerges as the completion of a fundamental phase cycle rather than as an isolated constant.
The interpretation presented here reexamines the Planck epoch through the conceptual framework of Extended Classical Mechanics.
Instead of viewing Planck time as an isolated constant, it is understood as the completion of a fundamental phase progression arising from primordial frequency transformation.
Within this framework, gravity emerges from the spatial gradient of residual potential energy produced during frequency-driven mass manifestation.