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Bulletin of the American Physical Society

Relational quantum dynamics: Quantum time dilation and temporal nonlocality

Alexander R. H. Smith, Philipp A. Höhn, Maximilian P. E. Lock, Mehdi Ahmadi

Published Apr 18, 2020• 0 citations
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We investigate the quantum correlation via measurement-induced-nonlocality (MIN) for Dirac particles in Garfinkle–Horowitz–Strominger (GHS) dilation space–time. It is shown that the physical accessible quantum correlation decreases as the dilation parameter increases monotonically. Unlike the case of scalar fields, the physical accessible correlation is not zero when the Hawking temperature is infinite owing to the Pauli exclusion principle and the differences between Fermi–Dirac and Bose–Einstein statistics. Meanwhile, the boundary of MIN related to Bell-violation is derived, which indicates that MIN is more general than quantum nonlocality captured by the violation of Bell-inequality. As a by-product, a tenable quantitative relation about MIN redistribution is obtained whatever the dilation parameter is. In addition, it is worth emphasizing that the underlying reason why the physical accessible correlation and mutual information decrease is that they are redistributed to the physical inaccessible regions.
In this work we discuss the possibility of reconciling quantum mechanics with classical mechanics by formulating a temporal dynamics, which is a dynamics caused by the rate of change of time with respect to distance. First, we show that a temporal dynamics can be derived from the time dilation formula in Einstein’s theory of special relativity. Then we show that a short-lived time-dependent force derived from a dynamical equation that is obtained from the temporal dynamics in a 1-dimensional temporal manifold can be used to describe Bohr’s postulates of quantum radiation and quantum transition between stable orbits in terms of classical dynamics and differential geometry. We extend our discussions on formulating a temporal dynamics to a 3-dimensional temporal manifold. With this generalisation we are able to demonstrate that a sub-quantum dynamics is a classical dynamics.
We propose an information-dynamical framework in which the universe is modeled as a Universal Computing System (UCS), aiming to provide a unifying interpretation between general relativity and quantum mechanics. Within this framework, physical reality is treated as the outcome of computation, and we introduce the hypothesis of Information-Induced Time Dilation (ITD), a form of temporal delay independent of mass density. ITD is interpreted as a dynamic throttling phenomenon arising from the finite computational resources of the universe. We further propose an experimental protocol based on differential measurements using Sr-87 optical lattice clocks to empirically test the existence of ITD. The framework predicts a necessary modification term to standard relativistic time dilation, characterized by a nonzero coupling constant (α).