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2 years ago in Quantum Gravity By Jamaal

Is Quantum Entanglement Possible in Noncommutative Geometries?

Noncommutative geometry proposes a profound modification of spacetime itself, where coordinates do not commute. This question delves into the intersection of this advanced mathematical physics framework with quantum information theory, asking if such a granular spacetime structure can naturally host or alter the phenomenon of entanglement.

MathematicalPhysics SpaceTime

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By Nisha Ali Answered 1 year ago

Research suggests that quantum entanglement could indeed arise or be fundamentally described within the framework of noncommutative geometries. In these models, where spacetime coordinates are represented by non-commuting operators (e.g., [x, y] ≠ 0), the very structure of spacetime at the Planck scale possesses an inherent "fuzziness" or uncertainty. This non-local structure can naturally encode correlations between distant regions, providing a potential geometric origin for entanglement. Studying quantum information protocols in such deformed spaces helps explore how gravity and quantum mechanics might unite, revealing whether entanglement is a feature emerging from a deeper, discrete spacetime geometry.

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