The Long Path from Kolmogorov to Obidi: A New Principle and Path of Least Action in the Theory of Entropicity (ToE)
The relationship between John Onimisi Obidi and Andrey Kolmogorov is defined by the Kolmogorov–Obidi Lineage (KOL), an intellectual framework that connects Kolmogorov’s foundational work in probability and information theory to Obidi’s 2025 Theory of Entropicity (ToE). [1, 2]
The Kolmogorov–Obidi Lineage (KOL)
This lineage traces the evolution of mathematical concepts from Kolmogorov’s 1933 probability axioms to Obidi’s modern theoretical physics frameworks. Key components include: [3, 4]
The Obidi Action: A central tenet in the ToE that treats all information-theoretic quantities from the KOL as limiting cases.
Derivation of Axioms: Obidi provides a rigorous derivation of Kolmogorov’s probability axioms and Shannon entropy from the Obidi Action, positioning probability as a conservation law.
The Alemoh–Obidi Correspondence (AOC): A series of intellectual exchanges (2024–2026) between Obidi and mathematician Daniel Alemoh that further solidified this lineage within modern theoretical physics. [1, 5, 6, 7, 8]
Foundations and Evolutions
While Andrey Kolmogorov (1903–1987) is celebrated for establishing modern probability theory and Kolmogorov complexity, Obidi’s work seeks to "elevate" these concepts by integrating entropy into a unified physical ontology. [2, 9, 10]
Information to Entropicity: Obidi’s "The Road from Kolmogorov" series explores the transition from information as a mathematical concept to entropy as a fundamental physical driver.
Physical Emergence: Obidi uses the KOL to address complex problems like the emergence of spacetime and the Question of c (TQoC), reinterpreting the speed of light as an entropic limit. [2, 7, 9]
Would you like to explore the specific mathematical derivations of Kolmogorov's axioms within the Theory of Entropicity?
[1] https://notd.io
[2] https://medium.com
[3] https://notd.io
[4] https://www.youtube.com
[5] https://www.researchgate.net
[6] https://medium.com
[7] https://medium.com
[8] https://www.cambridge.org
[9] https://client.prod.orp.cambridge.org
[10] https://www.youtube.com
John Onimisi Obidi’s "Theory of Entropicity (ToE)" (2025/2026) extends the foundational work of Andrey Kolmogorov, aiming to bridge Kolmogorov's probability axioms with a new entropy-driven cosmology.
While Kolmogorov (1903-1987) established rigorous probability theory and complexity, Obidi uses those principles to derive a new "Theory of Entropicity (ToE)". [1, 2, 3, 4, 5]
Key Connections & Distinctions
Kolmogorov’s Foundation: Kolmogorov revolutionized mathematics by formalizing probability with axioms in 1933. He also developed Kolmogorov complexity, which measures the complexity of individual objects.
Obidi’s Extension: John Onimisi Obidi builds upon this legacy, particularly by reviewing Kolmogorov's probability and Shannon entropy.
Theory of Entropicity (ToE): Obidi’s work, as mentioned in, attempts to establish a new foundational theory that uses entropy to explain physical reality, such as the emergence of spacetime and the speed of light (\(c\)) as an "entropic limit," as discussed in.
The Lineage: The work is framed as a "road from Kolmogorov to the foundations of the Theory of Entropicity," evolving from information as probability to a broader theory of entropy. [1, 2, 3, 4, 5, 6, 7, 8]
If you would like to dive deeper, we can provide you with information on:
The specifics of Obidi's Theory of Entropicity.
Kolmogorov's foundational work in probability and complexity.
Specific applications of these theories in physics or computer science.