ð¥Questions Regarding the Mathematical Foundations and Predictive Structure of the Theory of Entropicity (ToE)—The Alemoh-Obidi-Correspondence (AOC) -The June 2026 Communications
From: Daniel Alemoh danielalemoh@xxx.ccc
Date: Mon, Jun 22, 2026, 3:55 PM
Subject: Questions
To: JOHN OBIDI jonimisiobidi@xxx.ccc
Dear [Dr] John Onimisi Obidi,
I hope this message finds you well.
I have been studying the Theory of Entropicity (ToE), particularly your recent work on the Obidi Action Principle, the Master Entropic Equation, and the role of the Obidi Curvature Invariant (OCI) as a universal threshold of distinguishability.
What I find especially compelling about the framework is its attempt to invert the conventional hierarchy of physics by treating the entropic field as fundamental and spacetime geometry, relativity, and quantum phenomena as emergent consequences of deeper informational dynamics. Whether or not one ultimately agrees with the approach, it presents a remarkably coherent and ambitious unifying vision.
As I have worked through the available literature, several questions have emerged regarding the mathematical foundations and physical implications of the theory. I would be grateful for any clarification you may be willing to provide, particularly if these issues are addressed in existing monographs, forthcoming publications, or ongoing work.
1. The Derivation and Universality of the Obidi Curvature Invariant (OCI) Value (ln 2)
One of the most distinctive aspects of ToE is the elevation of ln 2 from its familiar role in information theory to the status of a universal physical threshold [the now famous Obidi Curvature Invariant (OCI) of ln 2].
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2. Distinguishability and the Underlying Information Metric
If distinguishability is formalized through a quantity analogous to quantum relative entropy, such as the Araki-Umegaki relative entropy S(Ï||Ï), how does the theory connect that metric to the OCI threshold?
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3. Ontological Information Geometry and Relativistic Consistency
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4. The Exact Dynamics of the Master Entropic Equation (MEE)/Obidi Field Equations (OFE)
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From my perspective, three developments would be especially significant for the broader acceptance of ToE:
1. A rigorous derivation showing why ln 2 emerges as a uniquely privileged invariant.
2. A proof that the field dynamics naturally drive systems toward the OCI threshold.
3. A quantitative prediction that differs from standard quantum mechanics and is experimentally testable.
I would be very interested to know whether these results already exist within the current body of work or are targets of ongoing development.
Thank you for your time and for making your research publicly accessible. Regardless of where one ultimately stands on the theory, it raises important questions about the relationship between information, geometry, and physical reality, and I appreciate the seriousness with which you are pursuing those questions.
Warm Regards,
Daniel Moses Alemoh
