Nonlocal Special Relativity

Abstract

In the special theory of relativity, Lorentz invariance is extended in Minkowski spacetime from ideal inertial observers to actual observers by means of the hypothesis of locality, which postulates that accelerated observers are always pointwise inertial. A critical examination of the locality assumption reveals its domain of validity: it is true for pointwise coincidences, but is in conflict with wave-particle duality. To remedy this situation, a nonlocal theory of accelerated systems is presented that reduces to the standard theory in the limit of small accelerations. Some of the main consequences of nonlocal special relativity are briefly outlined.

35 pages, invited paper to appear in the Minkowski issue of Annalen der Physik

References in corpus (3)

• Equivalence principle and experimental tests of gravitational spin effects
• Nonlocal Dirac Equation for Accelerated Observers
• Nonlocal Electrodynamics of Accelerated Systems

Cited by in corpus (24)

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• Nonlocal Modification of Newtonian Gravity
• Observational Tests of Nonlocal Gravity: Galaxy Rotation Curves and Clusters of Galaxies
• Nonlocal Gravity: Modified Poisson's Equation
• Nonlocal Gravity in the Solar System
• Nonlocal Gravity: The General Linear Approximation
• The maximal acceleration, Extended Relativistic Dynamics and Doppler type shift for an accelerated source
• Optics of Rotating Systems
• Necessity of Acceleration-Induced Nonlocality
• Linearized Gravitational Waves in Nonlocal General Relativity
• Nonlocal Newtonian Cosmology
• Nonlocal gravity: Conformally flat spacetimes
• Constitutive law of nonlocal gravity
• Observers in Spacetime and Nonlocality
• Testing Einstein's time dilation under acceleration using Mössbauer spectroscopy
• Dynamical Friction in Nonlocal Gravity
• Thermodynamic Gravity and the Schrodinger Equation
• Reconstructing a Model for Gravity at Large Distances from Dark Matter Density Profiles
• Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
• Generalized nonlocal gravity framework based on Poincaré gauge theory
• The Klein-Gordon equation in Machian model
• Nonlocal Transformations for Accelerated Observers