2016/05/13 by Shreya Banerjee, Sayantani Bera, T. P. Singh +1 · 1 voice
Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Advanced Operator Algebra Research
paper · pdf · doi:10.1142/s0218271816440053
Quantum nonlocal correlations and the acausal, spooky action at a distance suggest a discord between quantum theory and special relativity. We propose a resolution for this discord by first observing that there is a problem of time in quantum theory. There should exist a reformulation of quantum theory which does not refer to classical time. Such a reformulation is obtained by suggesting that spacetime is fundamentally noncommutative. Quantum theory without classical time is the equilibrium statistical thermodynamics of the underlying noncommutative relativity. Stochastic fluctuations about equilibrium give rise to the classical limit and ordinary spacetime geometry. However, measurement on an entangled state can be correctly described only in the underlying noncommutative spacetime, where there is no causality violation, nor a spooky action at a distance.