Richard Feynman's Path Integral and Views on Entropy in Obidi's Theory of Entropicity (ToE)

The Theory of Entropicity (ToE) is a recent, non-mainstream proposal in theoretical physics that posits entropy as the fundamental field of reality. In contrast, Nobel laureate Richard Feynman viewed the increase of entropy (the second law of thermodynamics) as the result of the universe's initial low-entropy state, which provides the only physical distinction between the past and the future. 

Richard Feynman on the Arrow of Time

Richard Feynman discussed the "arrow of time" extensively, particularly in his Feynman Lectures on Physics. His perspective is rooted in statistical mechanics and the second law of thermodynamics. 

• Statistical, not Fundamental: Feynman argued that the time-symmetric laws of physics at the microscopic level do not distinguish between past and future. The direction of time—our experience of events moving irreversibly from past to future—only emerges at the macroscopic level due to probability.
• Initial Conditions: The reason we observe entropy increasing (e.g., a broken egg not reassembling itself) is because the universe started in a very highly ordered, low-entropy state (the Big Bang). The "arrow" points toward the future simply because that is the direction in which disorder is increasing.
• The Only Distinction: Feynman famously stated: "If as we follow the arrow we find more and more of the random element in the state of the world, then the arrow is pointing towards the future... That is the only distinction known to physics". 

The Theory of Entropicity (ToE)

The Theory of Entropicity, primarily developed by John Onimisi Obidi in the 2020s, takes a different and more radical approach. It is an emerging framework that has not been formally established or widely accepted in the mainstream physics community and is still in the early stages of mathematical development. 

• Entropy as a Primary Field: ToE elevates entropy from a statistical, emergent property to a fundamental, dynamic field that is the "causal substrate of physical reality".
• Emergent Laws: In this theory, all other physical phenomena, including spacetime, gravity, motion, and even the speed of light, are emergent consequences of the underlying entropic dynamics.
• Built-in Arrow of Time: Unlike Feynman's view where the arrow of time relies on the universe's boundary conditions, ToE integrates irreversibility and temporal asymmetry directly into its fundamental equations, such as the Vuli–Ndlela Integral and the Master Entropic Equation. Time is not just a dimension but the "pulse of entropy itself".
• Distinction from Mainstream: ToE differs from other entropic theories (like Erik Verlinde's entropic gravity) by asserting that entropy is an "ontic" (real, physical) field, not just an "epistemic" (measure of knowledge/uncertainty) quantity. 

Summary of Differences

Feature	Richard Feynman's View (Mainstream Physics)	Theory of Entropicity (ToE)
Status of Entropy	A statistical consequence of microscopic interactions.	A fundamental, dynamic field underlying all reality.
Arrow of Time	An emergent property resulting from the universe's initial low-entropy state.	Built into the fundamental laws and equations of the theory.
Physical Laws	Microscopic laws are time-symmetric; the second law is an exception at macro scales.	All laws are emergent consequences of the single, irreversible entropic principle.