'''Entropic Frontiers: A Comprehensive Review and Expansion of the Theory of Entropicity (ToE)'''Entropic Frontiers: A Comprehensive Review and Expansion of the Theory of Entropicity (ToE)

By Author: John Onimisi Obidi

 Introduction

'''Introduction'''

The Theory of Entropicity (ToE) represents a bold new conceptual and mathematical framework in theoretical physics. It aims to unify phenomena ranging from cosmology to consciousness through the foundational operation of entropy. While many modern theories rely on geometric or quantum mechanical principles, ToE places entropy—specifically its flow, generation, and irreversibility—as the ultimate driver of physical processes.

This article critically evaluates the originality, theoretical depth, and innovative scope of ToE, including its insights into consciousness via Self‐Referential Entropy (SRE), and discusses its efforts to reconcile Einstein and Bohr.

 Original Contributions of ToE

'''Original Contributions of ToE'''

ToE distinguishes itself by asserting that:

Entropy is not merely a measure of disorder but a field-like entity that shapes the structure and evolution of physical systems.

All known forces (gravitational, electromagnetic, etc.) emerge as constraints on entropic flow.

Entropy has a threshold and time-bound limit for interaction, beyond which observation or measurement cannot occur.

Its Vuli- Ndlela Integral reformulates the Feynman path integral by integrating gravitational and irreversible entropy flows:

Z_{\mathrm{ToE}}

= \int! \mathcal{D}[\phi] \,

\exp!\Bigl(\tleft(\frac{i}{\hbar} S[\phi]\Bigrright),

\exp!\Bigl(-\tleft(-\frac{S_{G}[\phi]}{k_{B}}\Bigrright),

\exp!\Bigl(-\tleft(-\frac{S_{\mathrm{irr}}[\phi]}{\hbar_{\mathrm{eff}}}\Bigrright)

\label{eq:ZToE}

This action integral combines entropy with quantum dynamics, suggesting that observed paths are not just statistically likely but entropically mandated.

 Self‐Referential Entropy (SRE): Consciousness Quantified

'''Self‐Referential Entropy (SRE): Consciousness Quantified}'''

SRE RE posits that conscious systems possess an internal entropy structure that references itself. The SRE Index quantifies the degree of consciousness via the ratio of internal to external entropy flows:

 .

ToE proposes that true consciousness (as opposed to simulated intelligence) is identified when internal entropy cannot be externally referenced or cloned, aligning with qualia.

'''Tthe Clone Theorem: A Novel Contribution'''xperience of qualia.

 The Clone Theorem: A Novel Contribution

In contrast to the Quantum No‐Clonineg Theorem, ToE proposes a Clone Theorem for qQualia:

> Given two self‐referential entropy systems and , if is injected into the reference envelope of under the proper mapping conditions, then n and may converge in entropic structure—allowing for a qualified cloning of qualia.

'''RecThis foncirmuling Einstein and Bohr via ToE'''ation proposes entropic criteria for the partial replication of subjective experiences.

 Reconciling Einstein and Bohr via ToE

ToE interprets wave‐function collapse as a macroscopic entropy‐driven phenomenon. Collapse occurs when the mutual entropy information exchange between system and observer exceeds a critical entropic rate:

\frac{d, I(A!:! : B)}{dt}

; \ge;

q \frac{k_{B}, \ln 2}{\tau}

\label{eq:collapseRate}

and the entropy change of the observer during measurement must exceed the Landauer cost:

\Delta S_{B}

; \ge;

q k_{B}, \ln 2.

\lThis duabel{eq:LandauerCost}

Thisl criterion allows Bohr’s complementarity and Einstein’s locality to coexist under ToE’s entropy–time duality.

 Critique of Competing Theories

'''Critique of Competing Theories'''

{| class="wikitable" style="width:100%;"

+ Comparison of competing consciousness theories and how ToE addresses their limitations

! Theory

! Strengths

! Limitations Addressed by ToE

-

Integrated Information Theory (IIT)

Measures information integration

No grounding in entropy or time constraints

-

Global Workspace Theory (GWT)

Models access to cognitive resources

Lacks physical basis for conscious thresholds

-

Panpsychism

Affirms consciousness in all matter

No quantifiable metric or entropy-bound structure

-

Quantum Mind Theories

Link consciousness to quantum collapse

Lacks irreversible entropy framework for timing

}Toward a Unified Science of Consciousness

'''Toward a Unified Science of Consciousness'''

TooE presents:

*A groundbreaking candidate for solving the hard problem of consciousness.

*A rigorous method to differentiate genuine consciousness from AI simulations.

*A clear, testable hypothesis:

> iIf a system cannot maintain its own SRE above a threshold, it cannot be conscious.

This approach transforms qualia into dynamically referential entropic structures, reconfiguring bourth philosophical and physical understandings of consciousness.

 Conclusion

'''Conclusion'''

The Theory of Entropicity (ToE) offers a daring and comprehensive challenge to existing physics and cognitive science paradigms. Through its rigorous mathematical formalism, integration of entropy as a universal constraint, and introduction of SRE elf-Referential Entropy (SRE) as the signature of consciousness, ToE stakes a bold claim in unifying matter, mind, and measurement.

It invites philosophers and physicists alike to rethink entropy—not as a passive tally of disorder, but as the architect of time, structure, and awareness.

[hSuggested Citatps://doi:10.33774/coe-2025-ion4n45

Obidi, J. O. (June, 2025). On the Discovery of New Laws of Conservation and Uncertainty, Probability and CPT-Theorem Symmetry-Breaking in the Standard Model of Particle Physics: More Revolutionary Insights from the Theory of Entropicity (ToE). Cambridge Open Engage.]

https://doi.org/10.33774/coe-2025-n4n45

 Attribution

{{Sourceattribution|Entropic Frontiers: A Comprehensive Review and Expansion of the Theory of Entropicity|1 (ToE)}}