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Quantum Entanglement and Radioactivity: A New Perspective on Nuclear Decay

Asjad Iqbal

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.16782.01605

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In this paper, we introduce, for the first time ever, the formulation of the q-Ruark-Devol density function, a q-deformed generalization of the classical Ruark-Devol density function used to model radioactive decay processes. By employing quantum calculus (q-calculus), a branch of mathe- matics that generalizes classical calculus through the introduction of a deformation parameter q, we derive the q-Ruark-Devol density differential equation and demonstrate its reduction to the classical result in the limit q → 1. We provide a rigorous theoretical background on q -calculus, including the q - derivative, q -Leibniz product rule , and q -exponential, which are requirements for modeling deformed radioactive decay processes, in our framework. Furthermore, we explore the physical implications of the q-Ruark-Devol density function and its potential applications in quantum sensing, quantum op- tics, and neutrino detection. This work bridges the gap between classical and quantum-inspired mod- els of radioactive decay, offering a new perspective on the statistical behavior of decay processes in deformed or non-standard environments.