From Uneventful Energy to Manifested Universes:

An ECM Bridge Between Sen’s Conjecture and Penrose’s Conformal Cyclic Cosmology

V 1.0 — Dec 28, 2025

Soumendra Nath Thakur
ORCiD: 0000-0003-1871-7803
postmasterenator@telitnetwork.in or
postmasterenator@gmail.com

Date: December 28, 2025

Abstract

This work presents a unified physical interpretation linking Extended Classical Mechanics (ECM), Sen’s conjecture on vacuum dissolution, and Penrose’s Conformal Cyclic Cosmology (CCC) through a phase-governed origin of time, energy, and matter. In ECM, the universe originates from a non-eventful energetic state represented by the total latent potential PE_ECM (J), a 0-dimensional reservoir of stored existence lacking space, motion, and clocks. When a primordial frequency instability Δf (T⁻¹) develops within this reservoir, a portion of this latent energy is dynamically extracted as −ΔPE_ECM (J), also called NAM (Negative Apparent Mass), which initiates physical manifestation.

This extraction produces a phase displacement, from which physical time Δt (T) emerges as a derived quantity. The NAM (−ΔPE_ECM) is converted into kineticized energy KE_ECM (J) and inertial matter mass ΔM_M (M) through the ECM manifestation principle (−ΔPE_ECM ⇄ ΔM_Mc² ⇄ KE_ECM), giving rise to motion, gravitation, and the observable universe.

Sen’s conjecture is interpreted within ECM as the reverse transformation, where unstable material structures dissolve back into the latent PE_ECM reservoir, returning NAM and kineticized mass–energy to its non-eventful potential state without physical residue. Penrose’s CCC is then identified as the large-scale cosmological realization of this process: as an aeon approaches infinite expansion, all mass, clocks, and length scales vanish, leaving a conformal, scale-free energetic background physically equivalent to ECM’s 0-dimensional potential reservoir. A new cosmic aeon begins when this stored potential again develops frequency imbalance, phase, and time, restarting the cycle of manifestation.

1. The Physical Picture in ECM

Extended Classical Mechanics (ECM) begins with a universe that is not initially made of space, time, or particles, but of a non-eventful energetic state represented by the total latent potential PE_ECM (J). This is a 0-dimensional existence reservoir containing energy but no motion, no clocks, and no geometry.

This primordial state is a 0-dimensional energetic kernel in which no events can occur, because no phase, time, or frequency gradients yet exist. The universe remains in this latent condition until a small frequency instability Δf (T⁻¹) appears within PE_ECM.

That instability causes a portion of the latent reservoir to be dynamically extracted as −ΔPE_ECM (J). This extracted energy is not the reservoir itself, but the part of PE_ECM that becomes available for physical manifestation.

The emergence of −ΔPE_ECM produces phase differentiation, which generates the first measurable time Δt (T) and allows kinetic energy and mass to form. In this way, PE_ECM remains the non-eventful background, while −ΔPE_ECM is the gateway through which the universe becomes eventful.

2. How −ΔPE_ECM (NAM) Generates Mass, Energy, and Time in ECM

In Extended Classical Mechanics (ECM), energy is never created or destroyed; it is redistributed between latent existence and manifested dynamics. The universe always obeys the global energy balance

E_Total = PE_ECM + KE_ECM [ J = M L² T⁻² ]

Initially, KE_ECM = 0 and all energy exists as latent PE_ECM. When a frequency instability or gravitational imbalance develops, a portion of the latent reservoir becomes dynamically extractable. This redistribution is written as

E_Total = (PE_ECM − ΔPE_ECM) + ΔPE_ECM [ J = J ]

The extracted component, −ΔPE_ECM, is called NAM (Negative Apparent Mass). It is not an independent energy source, but the part of PE_ECM that has been released from the latent state and has become physically active.

In ECM this released potential energy manifests as matter mass ΔM_M according to

−ΔPE_ECM ≡ ΔM_M c² [ J = M L² T⁻² ]

As a result, the energy balance becomes

E_Total = (PE_ECM − ΔPE_ECM) + ΔM_M c² = (PE_ECM − ΔPE_ECM) + KE_ECM [ J ]

This shows that matter mass ΔM_M is the kineticized form of extracted potential energy. Matter is not added to the universe; it is the manifestation of decomposed PE_ECM driven by frequency-induced phase separation.

3. Universal Manifestation: Big Bang and Aeon Transition

In the universal case — the Big Bang or aeon-transition in ECM — the same redistribution law applies to the entire cosmos:

E_{Total,Universe} = (PE_ECM,Universe − ΔPE_ECM,Universe) + KE_ECM,Universe [ J ]

Here ΔPE_ECM,Universe is the portion of the latent cosmic potential energy that has been released from the non-eventful state. Its negative form, −ΔPE_ECM,Universe, is the cosmic NAM (Negative Apparent Mass) that drives manifestation.

The universal manifestation chain in ECM is therefore

−ΔPE_ECM,Universe → ΔM_M,Universe → KE_ECM,Universe

[ J ] → [ M ] → [ M L² T⁻² ]

This expresses the physical meaning of cosmic creation in ECM: latent potential energy is first converted into matter mass, and that mass then generates kinetic energy and time-directed dynamics. The universe does not begin with particles or spacetime — it begins with a frequency-driven release of NAM from PE_ECM.

4. Frequency Trigger and Phase → Time Emergence

The trigger of manifestation in ECM is not a force, but a frequency transition. A primordial base frequency f₀ becomes unstable and shifts toward a manifestation frequency f_p. This frequency shift produces a phase angle x°, and this phase defines physical time.

Δt = x° / (360° · f₀) [ T = 1 / s ]

Here x° is dimensionless and f₀ has dimension T⁻¹, so Δt has the correct physical dimension of time. Time in ECM is therefore not fundamental — it is generated by phase drift in frequency space.

This cosmic time is not clock time, but entropic cosmic time:

Δt = t_cos − t_cl [ s ]

where t_cl is a fixed reference oscillation (clock time) and t_cos is the frequency-governed cosmic evolution time emerging from energy redistribution.

Therefore the complete ECM emergence chain is

f₀ → f_p → −ΔPE_ECM → ΔM_M → KE_ECM → Time, Motion, and Matter

[ T⁻¹ ] → [ J ] → [ M ] → [ M L² T⁻² ] → [ T ]

This expresses the fundamental ECM principle: frequency instability releases latent potential energy, that energy manifests as mass, and mass generates kinetic energy and time. Thus −ΔPE_ECM is the energetic gateway through which existence becomes eventful.

5. Phase → Time in ECM

Let the primordial ECM reservoir PE_ECM possess a base existence frequency f₀. A small instability Δf develops within this latent reservoir, producing a phase shift in the energetic field.

Δφ = 360° × (Δf / f₀) [ dimensionless ]

This phase shift does not yet represent motion — it represents distortion inside PE_ECM. Physical time in ECM is generated only when this phase shift is released through the extraction of energy as −ΔPE_ECM.

Time is therefore defined from phase evolution by

Δt = Δφ / (360° · f₀) [ T = 1 / s ]

Substituting Δφ gives

Δt = Δf / f₀² [ (s⁻¹) / (s⁻²) = s ]

Thus, in ECM, time is not a background coordinate — it is a product of frequency imbalance in the latent PE_ECM reservoir, released through the NAM channel −ΔPE_ECM. No spacetime is required beforehand; time itself is a manifestation of phase-driven energy decomposition.

6. Emergence of Energy and Mass

Once phase and time have emerged from frequency imbalance in the latent PE_ECM reservoir, energy becomes dynamically released through the extraction of −ΔPE_ECM (NAM). This released energy appears as kinetic energy ΔKE_ECM.

−ΔPE_ECM = ΔKE_ECM [ J = M L² T⁻² ]

The released kinetic energy now supports oscillatory motion, producing a measurable frequency shift Δf in the manifested field. This frequency is not the cause of energy — it is the signature of energy already released from PE_ECM.

In ECM the energy–frequency relation is expressed as

ΔE_ECM = h Δf [ J = (J·s)(s⁻¹) ]

This energy is converted into matter through the ECM mass–energy channel:

ΔM_M = ΔE_ECM / c² [ M = (M L² T⁻²) / (L² T⁻²) ]

Thus matter does not appear spontaneously — it is the inertial form of released ECM energy.

The correct ECM manifestation chain is therefore:

PE_ECM → −ΔPE_ECM → ΔKE_ECM → Δf → ΔE_ECM → ΔM_M

[J] → [J] → [J] → [T⁻¹] → [J] → [M]

This is how the ECM universe acquires energy, frequency, and matter without violating conservation or dimensional consistency.

7. Sen’s Conjecture in ECM Language

Ashoke Sen demonstrated that unstable D-brane configurations can decay completely into vacuum energy, leaving no physical remnant. In ECM this process corresponds to the reversal of cosmic manifestation.

When matter loses its dynamical support, its inertial mass ΔM_M is converted back into energy:

ΔM_M c² → ΔE_ECM [ (M)(L²T⁻²) → J ]

This energy is not free radiation — it is reabsorbed into the latent reservoir of the universe as extracted potential energy returns:

ΔE_ECM → −ΔPE_ECM [ J → J ]

Thus Sen’s vacuum decay is, in ECM notation:

ΔM_M c² → ΔE_ECM → −ΔPE_ECM

Physically this means that matter does not vanish — it dissolves back into the same non-eventful energetic reservoir PE_ECM from which it was once extracted.

Because ECM also permits the inverse process

−ΔPE_ECM → ΔKE_ECM → ΔM_M

the vacuum is not an endpoint but a recyclable energetic state. This is precisely the dynamical content of Sen’s conjecture expressed in ECM language.

8. Penrose’s CCC as the Cosmic Reset

In Penrose’s Conformal Cyclic Cosmology, the end of an aeon is a state in which all massive particles have decayed and only scale-free radiation remains. Because mass defines physical clocks and length scales, this conformal state contains no operational time and no physical geometry.

In ECM this final state is not identified with −ΔPE_ECM itself, but with the restoration of the full latent reservoir PE_ECM after all extracted energy has been returned:

ΔM_M c² → ΔE_ECM → −ΔPE_ECM → PE_ECM

Thus the CCC conformal vacuum corresponds to a universe in which all manifestation energy has been reabsorbed into PE_ECM, leaving no clocks, no rulers, and no rest mass.

A new aeon begins when a frequency instability again appears inside this latent energetic reservoir, extracting −ΔPE_ECM and restarting the phase–time–mass cycle.

9. The Closed Cosmic Circle

PE_ECM ⇄ −ΔPE_ECM ⇄ ΔKE_ECM ⇄ ΔM_M ⇄ ΔE_ECM ⇄ −ΔPE_ECM ⇄ PE_ECM

This is the complete ECM cosmic cycle:

latent vacuum → extracted potential → kinetic energy → matter → radiation → extracted potential → latent vacuum

Sen’s conjecture describes the microscopic half of this loop — the decay of matter back into latent energy. Penrose’s CCC describes the cosmological half — the restoration of the full vacuum and the rebirth of a new aeon.

Extended Classical Mechanics provides the missing physical mechanism: a frequency-driven energy exchange between PE_ECM, −ΔPE_ECM, ΔKE_ECM, and ΔM_M.

In this picture the universe neither begins nor ends — it oscillates eternally between latent existence and manifested structure through a phase-governed energy cycle.

10. Conclusion

This work establishes a coherent physical bridge between Extended Classical Mechanics (ECM), Sen’s conjecture on vacuum dissolution, and Penrose’s Conformal Cyclic Cosmology by demonstrating that all three frameworks describe different scales of the same universal energy cycle. In ECM, the non-eventful energetic reservoir is PE_ECM, a 0-dimensional state containing latent existence without space, motion, or clocks. The dynamically active quantity is not this reservoir itself, but its extracted portion −ΔPE_ECM, which becomes available when a primordial frequency instability Δf appears.

This frequency instability generates phase evolution and thus the first physical time Δt. The extraction of −ΔPE_ECM from PE_ECM releases kinetic energy ΔKE_ECM, which manifests as inertial matter mass ΔM_M. In this way, matter and motion are not created from nothing but are the dynamically realized forms of decomposed latent potential energy.

Sen’s conjecture is naturally reinterpreted within ECM as the reverse transformation: unstable material structures dissolve through radiation back into the latent reservoir PE_ECM via the return flow ΔM_Mc² → ΔE_ECM → −ΔPE_ECM. Penrose’s Conformal Cyclic Cosmology extends this same mechanism to the entire universe, showing that as an aeon expands and all mass and clocks disappear, the extracted energy is reabsorbed, restoring the full non-eventful reservoir PE_ECM.

The universe therefore neither begins from nothing nor ends in nothingness. It moves through a closed phase-governed cycle in which PE_ECM, −ΔPE_ECM, ΔKE_ECM, and ΔM_M continuously transform into one another. In this view the Big Bang is not a creation event but a frequency-driven phase transition, and the ultimate fate of the cosmos is not extinction but the energetic preparation of its next manifestation.