DOI: 10.6084/m9.figshare.28787270.v1
title: 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: A Befitting Contribution to this Year’s Centennial Reflection and Celebration of the Birth of Quantum Mechanics

description: The century-old intellectual, physical, and gedanken confrontations between Albert Einstein and Niels Bohr over the foundations of quantum mechanics remain a defining feature of modern physics. These giants of science set the stage for stimulating conceptual and philosophical thoughts that continued to inspire and challenge practitioners of modern science. Central to their debate is the quantum measurement problem - the enigmatic “collapse” of the wave function and the question of whether physical reality exists independent of observation. Bohr championed the contextual, irreversible nature of measurement and the inherently probabilistic formalism of quantum theory, while Einstein sought a deeper deterministic framework grounded in objective reality.This paper presents the Theory of Entropicity (ToE) as a unifying resolution that transcends the limitations of both views. We posit that entropy is not merely a statistical descriptor but a real, dynamical field—a universal driver of physical processes enforcing time-asymmetric, irreversible evolution. In this framework, wave function collapse is no longer a mysterious, observer-dependent postulate; it emerges as a natural, entropy-driven phase transition triggered when a quantum system’s entropic evolution satisfies a precise threshold inequality.At the heart of the theory lies the Vuli-Ndlela Integral—a reformulation of Feynman’s path integral that introduces entropy-based weighting of histories. The integral’s exponential weighting by classical action, gravitational entropy, and irreversibility entropy imposes strict constraints on allowable quantum trajectories, replacing the unconstrained superposition of paths with an entropy-constrained selection principle. Collapse occurs at the moment the entropy flux or “resistance” surpasses a critical limit, enforcing a physically deterministic yet irreversible transition.This ToE framework not only restores Einstein’s vision of underlying causal realism but also upholds Bohr’s principle of contextual irreversibility. It provides fresh resolutions to long-standing paradoxes: the Einstein–Podolsky–Rosen (EPR) paradox is resolved by interpreting entanglement as an entropy-mediated correlation that forms over a finite time (recently measured to be on the order of $10^{-16}$ s), and the Einstein–Rosen (ER) bridge (wormhole) is reinterpreted not as a traversable spacetime tunnel but as an entropic binding channel connecting entangled states. A Children's Seesaw Model is also introduced to motivate physical intuition in this regard.By embedding the measurement “collapse” phenomenon within the irreversible flow of entropy and the strict constraints of the Vuli-Ndlela Integral, the Theory of Entropicity offers a principled, mathematically consistent, and experimentally grounded reconciliation between Einstein and Bohr. In doing so, it elevates their debate from a philosophical impasse to a new physical principle—one governed not by ad hoc interpretations or hidden variables, but by entropy as the ultimate arbiter of quantum reality.\textcolor{purple}{\textbf{ToE then introduces the criteria of existentiality and observability of any reality, by which other longstanding paradoxes are resolved.}} \textcolor{blue}{A first attempt is also made at developing the field equations of Quantum Gravity from entropic principles.}\textcolor{purple}{\textbf{Just as Einstein reinterpreted Newton’s force of gravity as the manifestation of spacetime geometry, the Theory of Entropicity (ToE) reinterprets geometry itself as the result of entropy flow. In this framework, curvature is not a precondition but an emergent feature—shaped dynamically by gradients in entropy. ToE thus establishes a new conceptual ground in both philosophy and theoretical physics, where motion, interaction, and structure are driven by irreversible entropic constraints rather than geometrical postulates. Most significantly, ToE introduces a direction of time directly into the wave and field equations via the unidirectional flow of entropy. This resolves the arrow of time problem at its root—not as a statistical artifact, but as a dynamical law embedded in the fabric of reality.}}\textcolor{blue}{\textbf{More also, by integrating entropy as a fundamental causal field rather than a passive measure of disorder, the Theory of Entropicity (ToE) offers a new ontological basis for understanding intelligence, cognition, and artificial systems - Artificial Intelligence(AI), Robotics, etc.}}