Acceleration-induced nonlocality: kinetic memory versus dynamic memory

Abstract

The characteristics of the memory of accelerated motion in Minkowski spacetime are discussed within the framework of the nonlocal theory of accelerated observers. Two types of memory are distinguished: kinetic and dynamic. We show that only kinetic memory is acceptable, since dynamic memory leads to divergences for nonuniform accelerated motion.

Necessity of acceleration‐induced nonlocality

“…The phenomenon of spin-rotation coupling has been employed to develop nonlocal kernels for the basic physical fields [31][32][33]. The special case of the electromagnetic field has been treated in [34].…”

Nonlocal electrodynamics of accelerated systems

“…This simplifying assumption is rather advantageous [4][5][6]. If the acceleration of the observer is turned off at τ = τ f , then the new kernel vanishes for τ > τ f .…”

“…This is simply a generalization of the standard result for inertial observers. A detailed analysis reveals that the only physically acceptable kernel consistent with this physical requirement is [3][4][5][6] (2)…”

Nonlocal electrodynamics of linearly accelerated systems

“…On the other hand, it is not possible to measure an electric or magnetic field instantaneously, as emphasized by Bohr and Rosenfeld [13,14]. This paper will pursue a nonlocal approach [15][16][17][18][19] that involves in essence an integral averaging of all momentarily equivalent inertial observers for the duration of the acceleration as explained in Sec. II.…”

“…Moreover, it is constant for the case of uniform acceleration. A nonlocal theory of accelerated observers has been developed on the basis of this unique kernel [15][16][17][18] and nonlocal Maxwell's equations have been discussed in [19].…”