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Paper on Quantum Entanglement, Violation of Bell's Inequality

Li, Yize

Published Nov 26, 2025• 0 citations
Publisher

Abstract

This paper opens with a foundational exploration of basic concepts essential for understanding the Nobel Prize experiments. Next, some critical concepts directly related to the Nobel Prize will be introduced. We then delve into the recent Nobel Prize-awarded research. The heart of the discussion examines these groundbreaking experiments. The focus will be the process and the conclusion it made. Transitioning to practical applications, the focus shifts to how quantum entanglement is applied to quantum computation. The final part of this paper will be the conclusion and some predictions of the development of quantum physics.

DOI
10.5281/zenodo.17725387

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This paper opens with a foundational exploration of basic concepts essential for understanding the Nobel Prize experiments. Next, some critical concepts directly related to the Nobel Prize will be introduced. We then delve into the recent Nobel Prize-awarded research. The heart of the discussion examines these groundbreaking experiments. The focus will be the process and the conclusion it made. Transitioning to practical applications, the focus shifts to how quantum entanglement is applied to quantum computation. The final part of this paper will be the conclusion and some predictions of the development of quantum physics.
Recently, an experiment was done in the realm of Quantum Information that won the recent 2022 Nobel prize in Physics. This experiment breaks Bell's inequality, supporting quantum theory over hidden variable theory—the research done is considered one of the pioneering experiments for quantum information science. This research paper documented the theory of the experiment done and experimentally tested for the violation of Bell's inequality, using materials similar to the experiments from the past, in an attempt to provide more support for quantum information. Through repetition of the experiment, it was simple to brainstorm more potential experimentation and design that will further develop entanglement. The mathematical formulation and terms are the same as defined in past works in detail in order to keep notation and inequalities constant throughout the analysis. Using the data points and error propagation, I have shown that Bell's inequality is violated to a great extent. This paper finally addresses potential experimentation regarding quantum entanglement and its applications to quantum sensors and computing technology.
Quantum entanglement represents one of the most profound and counterintuitive phenomena in modern physics, fundamentally challenging classical notions of locality, causality, and separability. This comprehensive review examines the theoretical foundations of quantum entanglement, tracing its conceptual development from Einstein's critique of quantum mechanics through Bell's theorem to contemporary experimental verification. The paper synthesizes current understanding of entanglement's mathematical formalism, its role in violating Bell inequalities, and the resolution of the EPR paradox. Extensive discussion is devoted to landmark experiments that have conclusively demonstrated non-local correlations, including photon polarization studies, satellite-based quantum communication, and loophole-free Bell tests. The work further explores emerging technological applications in quantum cryptography, quantum computing, and quantum teleportation, while addressing fundamental questions regarding the nature of reality, information, and the relationship between quantum mechanics and general relativity. Finally, the paper examines open questions and speculative frameworks suggesting that entanglement may represent a foundational principle underlying spacetime geometry itself. Video documentation of this analysis is available at: https://www.youtube.com/watch?v=YDGKuXYRPpI.
About 90 years ago, Albert Einstein complained about the “spooky action at a distance” of quantum entanglement and questioned the completeness of quantum mechanics [1]. This year, the Nobel Prize is awarded to three pioneers that put Einstein’s curiosity under experimental tests based on Bell’s inequality [2]. The fundamentals of quantum mechanics are not of just theoretical or philosophical interest. Rather, worldwide efforts are harnessing these quantum weirdness to develop emerging technologies.
The paper discusses this years Nobel Prize in physics for experiments of entanglement establishing the violation of Bell inequalities and pioneering quantum information science in a much wider, including philosophical context legitimizing by the authority of the Nobel Prize a new scientific area out of classical quantum mechanics relevant to Pauli's particle paradigm of energy conservation and thus to the Standard model obeying it. One justifies the eventual future theory of quantum gravitation as belonging to the newly established quantum information science. Entanglement, involving non-Hermitian operators for its rigorous description, non-unitarity as well as nonlocal and superluminal physical signals spookily (by Einstein's flowery epithet) synchronizing and transferring some nonzero action at a distance, can be considered to be quantum gravity so that its local counterpart to be Einstein's gravitation according to general relativity therefore pioneering an alternative pathway to quantum gravitation different from the secondary quantization of the Standard model.