Date of Publication :11th November 2024

Abstract: Abstract— Bell’s Inequality is a fundamental concept in quantum mechanics that highlights the existence of non-local correlations between entangled particles that defy classical physics. In this paper, we present a Python-based simulation designed to investigate the violation of Bell’s Inequality. The simulation generates pairs of entangled particles and measures their spin correlations, assuming they possess predetermined spin values, as suggested by Einstein’s concept of hidden variables. Our findings confirm predictions that challenge the principles of local realism, consistently demonstrating a violation of Bell’s Inequality through probabilities that exceed classical limits. Our findings show a 66.6% probability of detecting opposite spins under the assumption of predetermined spin values, in contrast to the 50% probability predicted and observed by quantum mechanics. Our results provide direct contradiction of loca lity with observation. Our results align with quantum mechanical predictions, providing strong evidence against hidden-variable theories. We also review key experimental results that have further validated these outcomes, effectively closing loopholes and reinforcing the nonlocal nature of quantum entanglement. Our study highlights the strength of quantum correlations and the inadequacy of classical explanations in describing entangled systems.

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