Soumendra Nath Thakur ORCiD: 0000-0003-1871-7803

Date: July 19, 2025

Abstract:

The premise that “frequency is emergent,” as proposed in Containment Cosmology Theory (CCT), undermines not only the operational basis of E = hf but also dismisses frequency as a primary existential phenomenon. This paper critiques the core implications of that assertion and contrasts them with the ontological and physical primacy of frequency in Extended Classical Mechanics (ECM). Additionally, it draws a parallel critique against the relativistic treatment of time, in which “time dilation” and “spacetime curvature” distort causal structure and obscure physically grounded interpretations. It is argued here that in ECM, frequency is the invariant foundation of physical existence, and that apparent time distortions are consequences of frequency shifts—not vice versa. The philosophical and physical implications of treating frequency as derived rather than fundamental are evaluated, and a consistent rejection of this emergentist position is provided.

Introduction

The interpretation of fundamental physical quantities such as time and frequency plays a central role in theoretical cosmology. While Extended Classical Mechanics (ECM) grounds its formulations in frequency as a primary physical reality, alternative frameworks such as Containment Cosmology Theory (CCT) challenge this view, proposing frequency as a derivative or emergent construct. Such a shift in foundational ontology carries significant implications—not only for how energy, motion, and time are modelled, but also for the metaphysical coherence of physical law. Parallel concerns arise in the relativistic treatment of time, where phenomena like time dilation and spacetime curvature similarly invert the causal role of frequency. This paper evaluates and rejects these emergentist and relativistic frameworks, and reaffirms the centrality of frequency as the organizing principle of physical and existential order within ECM.

Section 1: The Relativistic Treatment of Time

General relativity redefines time not as a fixed backdrop to events but as a coordinate intertwined with space, subject to distortion by mass and velocity. This model, while operationally successful in certain contexts, introduces paradoxes at the conceptual level. Time dilation and spacetime curvature suggest that time slows down or bends, but what is actually measured are changes in frequency—specifically, redshift and phase displacement. These are better interpreted through frequency dynamics than through the abstraction of bent spacetime.

ECM counters this relativistic abstraction by positioning frequency as the invariant quantity that defines motion, energy, and observable change. In this framework, time is not “dilated”—frequency is shifted, and time differences are secondary interpretations. Thus, the apparent flexibility of time in relativity arises from a misreading of the frequency shift phenomena as primary distortions of time itself.

Section 2: Containment Cosmology and the Memory Rotation Model

Containment Cosmology Theory (CCT) introduces a novel interpretation where time, rotation, and memory are equated (T = R = M), and frequency is seen as a by-product of cyclical memory discharge. According to this model, redshift is not due to velocity or cosmic expansion but to memory release events constrained by containment capacity:

z ∝ΔM / C

Here, ΔM represents discharged memory and C is the containment capacity. Frequency, in CCT, is not an input or cause but a statistical outcome of containment-memory cycles.

While innovative, this approach raises critical concerns. It reverses the causal order—treating frequency as an emergent consequence of memory and containment rather than its generative basis. If frequency is not fundamental, then E = hf loses ontological support. Moreover, this interpretation severs the direct link between frequency and energetic identity, undermining the framework upon which much of modern physics is built.

Section 3: Frequency as Ontological Foundation in ECM

Extended Classical Mechanics (ECM) addresses these issues by grounding its entire formalism in frequency as the primary, irreducible physical parameter. In ECM, mass, energy, and time are all derivatives of frequency and phase continuity. The equation E = hf is not merely a proportional relation—it reflects an ontological structure in which frequency is the engine of existence.

Time emerges only as an abstraction arising from deviations in frequency continuity. Thus, Δt is not an absolute temporal shift but a phase-shift-induced perceptual distortion. This approach safeguards causal integrity and ensures that interpretations of delay, duration, and memory are reducible to frequency-based mechanisms.

In ECM:

• Time is a secondary description.
• Energy is frequency-bound.
• Delay is measurable only through phase displacement.

This coherent ontological ordering cannot be preserved if frequency is treated as emergent.

Section 4: Frequency, Time, and Existential Integrity in ECM

The interpretation that frequency is “emergent,” as posited in Containment Cosmology Theory (CCT), poses deep conceptual and physical contradictions. First and foremost, such a view destabilizes the foundational relationship established in quantum and classical physics: E = hf. If frequency is not fundamental, then the energetic definition of quanta collapses into arbitrariness. ECM categorically rejects this.

In ECM, frequency is not simply a measurable property—it is the existential scaffolding upon which mass-energy relations manifest. Time, in contrast, is not a standalone medium. Instead, Δt represents a distortion derivative: a measure of deviation or displacement in phase and thus in frequency. In this hierarchy, frequency precedes and governs all derivative time-dependent observations.

Emergentist interpretations, whether from CCT or from general relativistic models that treat “spacetime” as a pliable substrate, suffer from a similar flaw—they reverse causal structure. Just as relativity suggests that spacetime can warp and curve, leading to “time dilation,” CCT proposes that frequency results from memory discharge events in a containment medium. Both these notions make abstractions appear as causes rather than consequences. But existential events invoke abstract time, not the vice versa.

To dismantle this confusion, ECM reasserts the following:

Thus, the rejection of frequency as fundamental—whether via CCT’s memory-rotation model or relativity’s time dilation—results in interpretive inversion. This inversion disrupts the causal coherence required in any physical theory. ECM restores that coherence by treating frequency as the invariant through which energy, motion, and even the illusion of time are contextualized.

In sum, “frequency as emergent” is not a novel insight but a conceptual retreat from physical realism. It fails both at the operational level—where frequency governs clocks, spectra, and energy exchange—and at the metaphysical level, where it provides the very rhythm of material existence. ECM, by reaffirming frequency’s ontological primacy, preserves the integrity of both physical measurement and existential meaning.

Conclusion

The assertion that frequency is emergent—whether framed through relativistic curvature or containment-memory cycles—fundamentally misrepresents the causal architecture of the physical universe. In both relativistic and CCT paradigms, the attempt to subordinate frequency to abstract constructs like time, memory, or curvature introduces logical and ontological inversions that unravel the coherence of physical law. Extended Classical Mechanics (ECM) offers a consistent alternative by anchoring all physical processes—mass, energy, and temporal perception—directly in frequency. Time is not a medium through which events unfold; it is a secondary artefact derived from frequency dynamics and phase displacement. The causal chain begins with frequency, not with time or memory. Hence, existential events invoke abstract time, not the vice versa. This reaffirmation is not merely philosophical—it is operational, predictive, and physically grounded. Any cosmological model that treats frequency as an emergent output rather than a foundational input fails to preserve the continuity, causality, and energetic identity essential to a viable physical theory. ECM’s prioritization of frequency restores this continuity and offers a robust framework for understanding the universe at both its deepest energetic and existential levels.