Post-Latent Energetic Dynamics and the Dual-State Evolution of the Universe in ECM

Soumendra Nath Thakur | ORCiD: 0000-0003-1871-7803 | Tagore's Electronic Lab, India | postmasterenator@gmail.com

July 18, 2025

Abstract

In Extended Classical Mechanics (ECM), the origin and evolution of the universe are fundamentally reinterpreted through a frequency-based cosmological framework that eliminates the need for an initial mass singularity or explosive Big Bang. Instead, ECM posits that the universe begins from a quiescent field of latent potential energy defined purely by frequency, void of mass, motion, or classical energy. The transition from this latent state into observable dynamism occurs via a frequency displacement—a post-latent transition—initiating the reversible emergence of apparent mass and kinetic energy. This leads to a primordial energetic imbalance where the magnitude of negative apparent mass exceeds gravitational mass, generating a repulsive dynamic that drives early cosmic expansion.

In ECM, mass is not intrinsic but emerges through the reversible extraction of potential energy. The early universe evolves in two distinct energetic states: an unobservable pre-Planckian regime where negative apparent mass manifests as dark energy, and an observable regime where parts of that energy settle into dark matter or stabilize into visible matter. The equivalence ΔMᴍ ≡ −Mᵃᵖᵖ governs these transformations, highlighting the cyclic and reversible energetic rhythm of the cosmos. ECM thus proposes a non-singular, wave-governed universe, where frequency, phase, and time govern mass emergence and cosmic structure through reversible energetic displacement rather than irreversible mass-based collapse or inflation.

Keywords:

Extended Classical Mechanics, latent frequency field, apparent mass, post-latent transition, dark energy, dark matter, frequency displacement, energetic asymmetry, cyclic cosmology, reversible dynamics, gravitational stabilization, mass-energy transformation, Planck threshold, kinetic extraction,

In the framework of Extended Classical Mechanics (ECM), the universe does not begin with a massive explosion or singularity, as is commonly depicted in traditional cosmological models. Instead, it emerges from a quiet, uneventful field of latent potential energy, a primordial state defined entirely by frequency. This field carries no mass, no motion, and no classical energy in the conventional sense—it is a state of pure potential, not yet disrupted by asymmetry or displacement.

This latent frequency condition represents the pre-dynamical phase, prior to any observable transformation. Once a displacement occurs within this field—triggered by frequency change over time or phase—dynamism begins. This moment is referred to in ECM as the post-latent transition. It marks the point where a portion of the potential energy field is reversibly extracted, leading to the manifestation of mass-equivalent dynamics.

Emergence of Apparent Mass and the Initial Energetic Imbalance:

According to ECM, the universe’s earliest energetic condition is defined by an imbalance between two forms of mass: gravitational mass and apparent mass. Gravitational mass corresponds to the familiar attractive force that shapes structure in the cosmos. In contrast, apparent mass—particularly in its negative form—acts as a repulsive kinetic driver, emerging from displaced potential energy and carrying the dynamical role of expansion.

At the origin, ECM proposes that gravitational mass is less than the magnitude of negative apparent mass. This asymmetry is critical, as it leads to a powerful phase of repulsive expansion that temporarily overwhelms gravitational attraction. In ECM interpretation, this is the true beginning of observable cosmic evolution—driven not by mass but by the displacement of frequency-defined energy into kinetic form.

From Frequency Displacement to Cosmic Expansion:

Once the latent field undergoes displacement, the frequency shift results in the appearance of mass-like behaviour, most notably in the form of negative apparent mass. This mass is not permanent but rather a transient energetic state, fuelled by the kinetic extraction of energy from the original potential. It serves as the key agent behind the initial high-velocity expansion of the universe—effectively functioning as the ECM analogue to inflation.

As this expansion proceeds, frequency gradually decays, and the kinetic energy associated with the apparent mass begins to transform again. Gravitational mass slowly increases, or the magnitude of apparent mass decreases, leading eventually to a phase of gravitational stabilization. This transition represents a cyclic energetic rhythm, as the universe oscillates between potential and kinetic dominance, between displacement and restoration.

Two Distinct States in ECM Cosmology:

ECM cosmology defines two distinct energetic states of the universe:

1. The Unobservable State:

This state exists prior to or beyond the Planck threshold. It is characterized by a frequency regime that lies outside the limits of measurement or observation. During this phase, frequency displacement initiates the emergence of mass-equivalent forms. A portion of the resulting apparent mass maintains sufficient dynamism to remain in motion, manifesting as what ECM identifies as dark energy—a kinetic component exhibiting anti-gravitational behaviour. Some of this dark energy continues into the observable state and may later partially transform into ordinary mass, associating itself with what is recognized as dark matter.

2. The Observable State:

This state occurs within the Planck threshold, where frequency values fall into measurable and interpretable domains. In this phase, the same dynamic principle continues. Portions of the earlier apparent mass, now with reduced dynamism, behave as dark matter—retaining some of the anti-gravitational characteristics of dark energy but with diminished motion. Simultaneously, other portions stabilize further and contribute to the formation of observable matter, such as massive particles and atomic structures.

Cyclic Energetic Interpretation:

Central to ECM is the idea that apparent mass is reversible. It arises from the subtraction of potential energy and can, under the right conditions, revert to its original form. This reversibility is not just a theoretical curiosity—it forms the backbone of a cyclical universe model where energy constantly oscillates between latent potential, kinetic dynamism, and gravitational structure.

In this view:

• Dark energy represents the active phase of apparent mass, driving accelerated expansion.

• Dark matter marks the residual, decelerated phase, still unobservable but less dynamic.

• Ordinary matter emerges as the stabilized result of kinetic energy transformations entering gravitational equilibrium.

ECM thus presents a cosmological model that is wave-based rather than mass-based, governed by transformations of frequency, phase, and time—not by initial mass concentration or singularities. The universe is born from energy displacement and evolves through reversible energetic phases, offering a fundamentally different lens through which to understand its origin, structure, and fate.

Energetic Imbalance at the Origin: The Role of Apparent Mass and Frequency Displacement in ECM

In Extended Classical Mechanics (ECM), the foundational relations among frequency f, phase φ, and time Δt—including f₀, f₁, and Δf—adhere to classical wave principles across all scales. Crucially, the quantum constants such as Planck’s constant h and quantized energy E = hf are not applicable at the universal origin, since these constants are defined only within or below the Planck threshold and lack physical meaning when extrapolated to pre-Planckian regimes. (See: Relevant Appendix/ces on ECM constants and Planck limitations.)

At the heart of the universe’s origin, ECM proposes a fundamental mass-energy asymmetry:

Mɢ < |−Mᵃᵖᵖ|

This inequality suggests that the negative apparent mass dominates over gravitational mass during the universe's earliest phase. The implications of this asymmetry are central to ECM cosmology:

• High-velocity expansion is initiated by −ΔMᴍ-mediated kinetic energy,

• A net repulsive dynamic temporarily overcomes gravitational attraction,

• Gravitational stability only emerges later, as Mɢ increases or |−Mᵃᵖᵖ| decreases.

In earlier ECM discussions, it was shown that the universe originates not from a singular mass event but from an uneventful field of latent potential energy, defined solely by frequency. This latent energy undergoes frequency displacement, initiating the appearance of kinetic mass-like phenomena, particularly negative apparent mass −Mᵃᵖᵖ, which acts as a dynamical driver of cosmic inflation and initial acceleration.

This energetic cycle gradually evolves: as frequency decays, gravitational mass Mɢ vanishes, and the system reverts to a frequency-defined potential state—restoring the pre-inflationary conditions in a rhythmic manner. This formulation provides a mathematically coherent connection between cosmological redshift, apparent mass displacement, and energetic reversion, highlighting a cyclic rhythm of expansion and contraction rooted in frequency dynamics rather than mass-based singularities.

The central equivalence governing this transformation is:

ΔMᴍ ≡ −Mᵃᵖᵖ

Here, −Mᵃᵖᵖ serves as the kinetic driver, translating reversible frequency changes into observable energetic behaviour. (See: Appendices on Energetic Reversion, Mass Displacement, and Cosmological Frequency Cycles for derivations and further discussion.)

Latent Frequency Field and the Dual-State Emergence of the Universe in ECM:

Post-Latent Transition:

In Extended Classical Mechanics (ECM), the universe does not originate from a singular mass-based event, but rather from an uneventful field of latent potential energy, defined solely by frequency. The governing energetic expression for this primordial state is:

PEᴇᴄᴍ,ᵤₙᵢᵥ = (PEᴇᴄᴍ,ᵤₙᵢᵥ − ΔPEᴇᴄᴍ,ᵤₙᵢᵥ) + ΔPEᴇᴄᴍ,ᵤₙᵢᵥ

Where:

• −ΔPEᴇᴄᴍ,ᵤₙᵢᵥ → −Mᵃᵖᵖ

• −ΔPEᴇᴄᴍ,ᵤₙᵢᵥ → −ΔMᴍ

This reflects that the observable energetic portion of the universe arises from a reversible extraction of potential energy, transforming into kinetic mass-equivalent dynamics.

Two Fundamental States of the Universe in ECM:

ECM distinguishes between two primary energetic states of the universe:

Condition 1: Unobservable State (Beyond the Planck Scale, Pre-Origin):

• Defined by f₀ → f₁, where frequency displacement initiates energetic asymmetry.

• Governing equivalence:

ΔPEᴇᴄᴍ,ᵤₙᵢᵥ ≡ KEᴇᴄᴍ,ᵤₙᵢᵥ → ΔMᴍ ≡ −ΔMᴍ

• In this pre-Planckian regime, a portion of ΔMᴍ sustains cosmic dynamism as KEᴇᴄᴍ,ᵤₙᵢᵥ and manifests as dark energy (DE) — exhibiting anti-gravitational behaviour.

• Some of this dark energy persists into Condition 2, partially converting into observable mass Mᴍ, binding with dark matter (DM).

Condition 2: Observable State (Within the Planck Scale):

• Transition defined by fᴘ → fᴏᵦₛₑᵣᵥₐᵦₗₑ, where the frequency enters the detectable domain.

• The same kinetic-potential equivalence applies:

KEᴇᴄᴍ,ᵤₙᵢᵥ → ΔMᴍ ≡ −ΔMᴍ

• A portion of ΔMᴍ that loses dynamism (↓KEᴇᴄᴍ,ᵤₙᵢᵥ) or regains gravitational coupling becomes dark matter (DM) — still exhibiting anti-gravitational behaviour but with reduced kinetic drive.

Energetic Interpretation in ECM

• The equivalence ΔMᴍ ≡ −ΔMᴍ expresses the reversible nature of energetic transformation: apparent mass emerges from the subtraction of potential energy and may later revert.

• Dark energy corresponds to the active kinetic component of apparent mass that fuels expansion.

• Dark matter emerges as the residual, decelerated kinetic component, gravitationally reactive but still non-luminous.

This dynamic view frames the entire evolution of the universe as an oscillatory frequency-driven transformation, where latent frequency displaces into mass-equivalent motion, then reverts through decay. Mass is thus not fundamental but a transient expression of energetic displacement across phase and time.

Alphabetical List of Terms in ECM (with Descriptions, Units, and Appendix References)

Term	Description	Unit	Relevant Appendix
Δf	Change in frequency; describes the shift during frequency displacement, central to redshift dynamics.	Hz	Appendix 6, Appendix 29
ΔMᴍ	Change in mass-equivalent dynamics, interpreted as reversible kinetic transformation of apparent mass.	kg	Appendix 6, Appendix 29, Appendix 30
ΔPEᴇᴄᴍ	Change in potential energy in ECM framework; represents extracted energy from a latent frequency field.	J	Appendix 6, Appendix 29
f₀, f₁	Initial and displaced frequencies before and after cosmic energetic transition.	Hz	Appendix 6, Appendix 29
fᴘ	Planck threshold frequency—defines boundary between unobservable and observable cosmological regimes.	Hz	Appendix 30
fₒᵦₛₑᵣᵥₐᵦₗₑ	Frequency range within measurable and gravitationally interactive state-space.	Hz	Appendix 6, Appendix 29
G (Gravitational Mass, Mɢ)	Mass component contributing to gravitational attraction. In ECM, G <	−Mᵃᵖᵖ	at origin.
KEᴇᴄᴍ	Kinetic energy in ECM, equivalent to extracted potential energy; initiates mass-like motion.	J	Appendix 6, Appendix 29
Mᵃᵖᵖ (Apparent Mass)	Emergent, reversible, often negative mass associated with frequency displacement; not intrinsic but dynamic.	kg	Appendix 6, Appendix 29, Appendix 30
Mᴍ	Observable mass formed through transformation and stabilization of ΔMᴍ.	kg	Appendix 29
PEᴇᴄᴍ	Potential energy defined in ECM by the frequency field prior to displacement.	J	Appendix 6, Appendix 29
φ (Phase)	Angular phase variable used in wave dynamics to interpret phase-time transformations.	radians	Appendix 6
t, Δt	Time and time interval associated with phase or frequency shift; crucial for dynamism in ECM.	s	Appendix 6, Appendix 29

 

End of statement.