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Review and Analysis of the Theory of Entropicity (ToE) in Light of the Attosecond Entanglement Formation Experiment: Toward a Unified Entropic Framework for Quantum Measurement, Non-Instantaneous Wave-Function Collapse, and Spacetime Emergence

05 April 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

The Theory of Entropicity (ToE) posits that entropy is not merely a statistical measure but an active field that fundamentally governs interactions, motion, and causality. Central to this theory is the Entropic Time Limit (ETL), a minimum irreducible time interval required for any physical interaction, below which no interaction, observation, or measurement is possible. This paper analyzes recent groundbreaking experimental results demonstrating that quantum entanglement forms over a finite interval of approximately 232 attoseconds, providing potential empirical validation for the ETL. The observed non-instantaneity of entanglement formation supports the ToE’s proposition that all processes are constrained by entropy-driven temporal boundaries. By comparing ToE with Quantum Field Theory (QFT) and General Relativity (GR), this work highlights how the entropic field may serve as a unifying framework for physics, offering novel insights into quantum measurement, wave-function collapse, causality, and the emergence of spacetime. The study also introduces the Vuli-Ndlela Integral, an entropy-constrained and entropy-weighted reformulation of the Feynman path integral, and outlines future directions for formalizing the entropic field as the fundamental medium of all interactions.

Keywords

Attosecond entanglement formation
Entanglement formation experiment
Entropic Time Limit (ETL)
Entropy-driven constraints
Quantum entanglement
Quantum field theory
Quantum wave-function collapse
Theory of Entropicity (ToE)
Vuli–Ndlela Inequality
Vuli–Ndlela Integral

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