The Concept of an "Entropic Cone" Within the Theory of Entropicity (ToE)

Last updated: November 8, 2025 Sat

The Concept of an "Entropic Cone" Within the Theory of Entropicity (ToE)

The concept of an "Entropic cone" within the Theory of Entropicity (ToE) describes the range of possible futures for a system, based on the principle that all physical phenomena are driven by the flow and geometry of a universal entropic field. The cone visualizes the paths a system can take as entropy evolves, with the boundaries defined by the constraints of the entropic field.

The Theory of Entropicity (ToE):

Developed by John Onimisi Obidi in 2025, the ToE is a proposed unifying theory of physics that reinterprets entropy not as a statistical measure of disorder but as a fundamental, dynamic field from which physical reality emerges. 

In this framework:

Entropy is a fundamental field ((S(x))) that permeates all of existence.

Motion, time, gravity, and consciousness are not fundamental but are emergent properties arising from the gradients and flows of this entropic field.

Einstein's spacetime curvature is reinterpreted as a manifestation of the curvature of the entropic field, rather than a fundamental property itself.

Understanding the Entropic cone:

The Entropic cone in ToE is an adaptation of the concept of a "cone" from relativity, but reframed in terms of entropy instead of spacetime.

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Table on the Entropic Cone of ToE

Feature | Relativity's Light Cone | ToE's Entropic Cone

Central Concept | Light's speed limits the possible future events for a body. | The entropic field's dynamics limit the possible future configurations of a system.

Governing Law | A body's future trajectory must remain within its light cone, defined by the constant speed of light ((c)). Events outside the light cone are causally disconnected. | A system's future state must remain within its entropic cone, governed by the "Entropic Time Limit" (ETL), which states that the universe's information cannot be rearranged instantly.

Cone's Boundary. | The "light-like" path of a photon, where the rate of change is at its maximum, (c). | The boundary is defined by the maximum rate of entropic rearrangement, which corresponds to the speed of light. This represents the fastest possible way information can be redistributed in the entropic field.

Paths Within the Cone | "Time-like" paths, where a body moves slower than light. The path a body takes through spacetime is called a geodesic. | "Entropic geodesics," which are paths of least resistance that a system follows to maximize its entropy.

Physical Meaning | Explains why certain events can influence a body while others cannot, establishing the causal structure of spacetime. | Explains the arrow of time, causality, and motion itself, as physical processes evolve along paths that maximize the system's entropy.

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Implications of the Entropic cone:

The Entropic cone is a core visualization for some of the ToE's most significant claims:

Emergence of causality:
By defining the cone through a maximum rate of entropic rearrangement (the Entropic Speed Limit), ToE provides a thermodynamic origin for causality, explaining why nothing happens instantaneously.

Unification of physics:
The same entropic principles that dictate the cone's structure are proposed to describe phenomena across all scales—from quantum entanglement forming over a finite time interval to the expansion of the universe.

Iterative reality:
The cone represents a universe that is constantly "computing" and updating itself through local exchanges of entropy. A system's future is not a fixed point but a continuous, iterative process of seeking entropic equilibrium within the cone's constraints.

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References

[1] Obidi, John Onimisi (2025). The Theory of Entropicity (ToE) Derives and Explains Mass Increase, Time Dilation and Length Contraction in Einstein’s Theory of Relativity (ToR): ToE Applies Logical Entropic Concepts and Principles to Verify Einstein’s Relativity.

[2] Obidi, John Onimisi. 2025. On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics. Cambridge University. Published October 17, 2025.

[3] Obidi, John Onimisi. 2025. A Simple Explanation of the Unifying Mathematical Architecture of the Theory of Entropicity (ToE): Crucial Elements of ToE as a Field Theory. Cambridge University. Published October 20, 2025.

[4] Obidi, John Onimisi. Einstein and Bohr Finally Reconciled on Quantum Theory: The Theory of Entropicity (ToE) as the Unifying Resolution to the Problem of Quantum Measurement and Wave Function Collapse. Cambridge University; 14 April 2025.

[5] Obidi, John Onimisi. 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 University; 14 June 2025.

[6] Obidi, John Onimisi. A Critical Review of the Theory of Entropicity (ToE) on Original Contributions, Conceptual Innovations, and Pathways towards Enhanced Mathematical Rigor: An Addendum to the Discovery of New Laws of Conservation and Uncertainty. Cambridge University; 30 June 2025.