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Nonlocal Gravity$
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Bahram Mashhoon

Print publication date: 2017

Print ISBN-13: 9780198803805

Published to Oxford Scholarship Online: July 2017

DOI: 10.1093/oso/9780198803805.001.0001

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Acceleration-Induced Nonlocality

Acceleration-Induced Nonlocality

(p.24) 2 Acceleration-Induced Nonlocality
Nonlocal Gravity

Bahram Mashhoon

Oxford University Press

The locality postulate of the standard relativity theory is exact when dealing with phenomena involving classical point particles and rays of radiation, but breaks down for electromagnetic fields, as field properties cannot be measured instantaneously. Furthermore, Bohr and Rosenfeld pointed out in 1933 that only spacetime averages of the classical electric and magnetic fields have immediate physical significance. This assertion acquires the status of a physical principle when the intrinsic acceleration scales of observers are taken into account. To incorporate acceleration-induced nonlocality into relativity theory, a general integral relation is postulated between the field as measured by an accelerated observer and the instantaneous field measurements of the momentarily comoving inertial observers along the past world line of the observer. This nonlocal ansatz involves an acceleration kernel and leads to nonlocal special relativity once the kernel is determined.

Keywords:   electromagnetic field, acceleration scale, integral relation, acceleration kernel, nonlocal special relativity

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