In the Theory of Entropicity (ToE), entropy is a dynamic universal field that governs both time’s arrow and motion’s limits, rather than merely quantifying disorder. This field imposes two core constraints: it drives all systems irreversibly toward higher entropy and enforces a maximum causal‐propagation rate—experienced as the speed of light, c. Rather than a geometric axiom, c emerges from the entropic field’s structure: massless signals follow paths of minimal entropic resistance set by local and global entropy configurations.
Relativistic time dilation and length contraction arise as entropic‐field distortions. As an object nears c, rising entropy resistance slows its internal processes (time dilation) and compresses spatial intervals (length contraction). The entropic No-Rush Theorem forbids any superluminal interaction by preventing the field from establishing conditions faster than its propagation limit. Likewise, the finite speed of quantum entanglement or wave‐function collapse reflects the same entropic time constraint.
In this framework, Einstein’s field equations appear as an emergent entropic geometry: spacetime curvature encodes how the entropy field constrains motion and interaction. Thus, ToE unifies thermodynamics, quantum mechanics, and relativity by revealing c as a thermodynamic consequence of entropy’s universal governance.
- Quantum Mechanics
- Field Theory
- Entropy
- Thermodynamics
- Einstein
- Theory of Entropicity
- Relativity
- Particle Physics
- Time Dilation and Lorentz Contraction
- Postulates of Einstein's Theory of Relativity
Relativistic Time Dilation and Lorentz Contraction in the Theory of Entropicity (ToE)
Entropy as the Underlying Regulator of Light Speed in the Theory of Entropicity (ToE)
According to the Theory of Entropicity (ToE), the constancy of the speed of light—a foundational postulate in Einstein’s theory of relativity—is not an unexplained given of nature but an emergent consequence of a deeper entropic principle. In ToE, entropy is redefined not merely as a statistical measure of disorder, but as a dynamic and universal field—denoted 
—that governs the structure and evolution of space, time, and interaction.
This entropic field plays two critical roles:
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Temporal Regulation: It establishes an irreversible arrow of time by driving all physical systems toward higher entropy in a path-dependent and asymmetric manner.
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Kinematic Constraint: It enforces a maximum propagation rate for causal influence, which manifests in our observed universe as the speed of light cc.
ToE proposes that no physical interaction, signal, or object can move faster than the rate allowed by the entropy field itself. This rate is not arbitrary—it is encoded in the structure of entropy flow in the universe. The speed of light is thus the entropic speed limit:
In this view, the constancy of cc arises not from spacetime geometry alone but from the underlying entropic constraint embedded in the field structure of the cosmos. Light, as a massless excitation, follows the least entropic resistance path, and its velocity is dictated by the local and global configuration of entropy.
This leads to several profound implications:
Implications of ToE on the Speed of Light and Causality
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Entropic Explanation of Special Relativity:
Time dilation and length contraction are interpreted in ToE as manifestations of local entropic field distortions. Systems moving near cc experience increased entropy resistance, which slows internal clocks and compresses spatial intervals—not because of Lorentzian spacetime, but because of the increased entropic cost of motion. -
No Superluminal Interactions:
Faster-than-light (FTL) propagation is forbidden not by geometric constraints alone but by the entropic No-Rush Theorem. That is, no process can occur faster than the entropic field permits, because the field must first establish the conditions for that process to happen. -
Quantum Measurement and Entropy Speed Limit:
The finite speed at which entanglement or wavefunction collapse can occur (e.g., the 232 attosecond constraint) is seen as a reflection of the entropic time constraint—i.e., collapse and information exchange must obey the entropic propagation limit, not just relativistic cc. -
General Relativity as an Emergent Entropic Geometry:
ToE allows one to derive Einstein's field equations as an effective entropic metric theory, where the curvature of spacetime is simply how the entropy field encodes constraints on motion and interaction.
Conclusion
In the Theory of Entropicity, the speed of light (c) is not an unexplained constant but the natural maximum flow rate of the entropic field, which underlies all physical processes. The light speed barrier is thus a thermodynamic consequence of entropy’s universal governance over time, causality, and motion. It is not geometry that limits entropy—but entropy that shapes and constrains geometry. This is a crucial and vital point in the Theory of Entropicity (ToE).