Einstein-Podolski-Rosen Experiment from Noncommutative Quantum Gravity
M. Heller (Vatican Observatory), W. Sasin (Institute of Mathematics,, Warsaw University of Technology)
TL;DR
This paper demonstrates that EPR experiments naturally emerge from a noncommutative geometric model unifying general relativity and quantum mechanics, suggesting non-local physics below the Planck scale.
Contribution
It introduces a groupoid-based noncommutative geometric framework that explains EPR correlations as remnants of fundamental non-local quantum gravity effects.
Findings
EPR correlations arise from noncommutative geometry of the model.
The model links non-local quantum effects to the structure of space-time.
Provides a geometric interpretation of quantum entanglement.
Abstract
It is shown that experiments of the Einstein-Podolski-Rosen type are the natural consequence of the groupoid approach to noncommutative unification of general relativity and quantum mechanics. The geometry of this model is determined by the noncommutative algebra of complex valued, compactly supported functions (with convolution as multiplication) on the groupoid G = E x D. In the model considered in the present paper E is the total space of the frame bundle over space-time, and D is the Lorentz group. Correlations of the EPR type should be regarded as remnants of the totally non-local physics below the Planck threshold which is modelled by a noncommutative geometry.
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