Length measurement in accelerated systems
arXiv:gr-qc/0206082 · doi:10.1002/1521-3889(200208)11:7<532::AID-ANDP532>3.0.CO;2-3
Abstract
We investigate the limitations of length measurements by accelerated observers in Minkowski spacetime brought about via the hypothesis of locality, namely, the assumption that an accelerated observer at each instant is equivalent to an otherwise identical momentarily comoving inertial observer. We find that consistency can be achieved only in a rather limited neighborhood around the observer with linear dimensions that are negligibly small compared to the characteristic acceleration length of the observer.
LaTeX file (annalen.cls), 4 figures, 17 pages, accepted for publication in Annalen der Physik
References in corpus (1)
Cited by in corpus (46)
- The teleparallel equivalent of general relativity
- On reference frames in spacetime and gravitational energy in freely falling frames
- Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence
- Nonlocal Special Relativity
- Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames of Minkowski Spacetime: I. Admissible 3+1 Splittings of Minkowski Spacetime and the Non-Inertial Rest Frames
- Quantum Mechanics in Non'Inertial Frames with a Multi'Temporal Quantization Scheme: I) Relativistic Particles
- Nonlocal Gravity: The General Linear Approximation
- The maximal acceleration, Extended Relativistic Dynamics and Doppler type shift for an accelerated source
- Superposed metric for spinning black hole binaries approaching merger
- Optics of Rotating Systems
- Necessity of Acceleration-Induced Nonlocality
- Uniform Acceleration in General Relativity
- Generalized Radar 4-Coordinates and Equal-Time Cauchy Surfaces for Arbitrary Accelerated Observers
- Difficulties of Teleparallel Theories of Gravity with Local Lorentz Symmetry
- Simultaneity, radar 4-coordinates and the 3+1 point of view about accelerated observers in special relativity
- Accelerated observers and the notion of singular spacetime
- Spin-rotation couplings: spinning test particles and Dirac field
- On the construction of Fermi-Walker transported frames
- Observers in Spacetime and Nonlocality
- Non-Inertial Frames in Minkowski Space-Time, Accelerated either Mathematical or Dynamical Observers and Comments on Non-Inertial Relativistic Quantum Mechanics
- The Teleparallel Equivalent of General Relativity and the Gravitational Centre of Mass
- On Dark Energy and Accelerated Reference Frames
- Pound-Rebka experiment and torsion in the Schwarzschild spacetime
- Repulsive gravity near naked singularities and point massive particles
- A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
- Spacetime Transformations from a Uniformly Accelerated Frame
- Nonlocality of Accelerated Systems
- Fermi coordinates and modified Franklin transformation : A comparative study on rotational phenomena
- A simpler solution of the non-uniqueness problem of the covariant Dirac theory
- Decoherence of Topological Qubit in Linear and Circular Motions: Decoherence Impedance, Anti-Unruh and Information Backflow
- On Gravitational Entropy of de Sitter Universe
- Electrodynamics in accelerated frames revisited
- An effective theory of metrics with maximal acceleration
- Should there be a spin-rotation coupling for a Dirac particle?
- Observers with constant proper acceleration, constant proper jerk, and beyond
- The Chrono'Geometrical Structure of Special and General Relativity: Towards a Background-Independent Description of the Gravitational Field and Elementary Particles
- Gravitational waves and the breaking of parallelograms in space-time
- Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames of Minkowski Spacetime
- An Observer's View on Relativity: Space-Time Splitting and Newtonian Limit
- On the total energy conservation of the Alcubierre spacetime
- An extension of Poincaré group based on generalized Fermi-Walker coordinates
- Covariant Uniform Acceleration
- On the accelerated observer's proper coordinates and the rigid motion problem in Minkowski spacetime
- Is there an inertia due to the supersymmetry
- Geometry of an accelerated rotating disk
- On the Bell's spaceships paradox and proper length for accelerated bodies