Measurement Theory and General Relativity

Abstract

The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational and rotational) scales characteristic of the motion of the observer. Thus general relativity is a consistent theory of coincidences so long as these involve classical point particles and electromagnetic rays (geometric optics). Wave optics is discussed and the limitations of the standard theory in this regime are pointed out. A nonlocal theory of accelerated observers is briefly described that is consistent with observation and excludes the possibility of existence of a fundamental scalar field in nature.

LaTeX springer style lamu.cls, 2 figures, 16 pages, published in: Black Holes: Theory and Observation: Proceedings of the 179th W.E. Heraeus Seminar, held August 1997 in Bad Honnef, Germany. F.W. Hehl et al.(eds). (Springer, Berlin Heidelberg 1998)

Cited by in corpus (42)

• Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Influence of global cosmological expansion on local dynamics and kinematics
• Binary black holes in circular orbits. II. Numerical methods and first results
• Editorial for the Special Issue 100 Years of Chronogeometrodynamics: The Status of the Einstein's Theory of Gravitation in Its Centennial Year
• Binary black holes in circular orbits. I. A global spacetime approach
• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• A family of charged compact objects with anisotropic pressure
• Charged Compact Stars in $f(\mathcal{G})$ Gravity
• Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit: I. General formalism and perturbations analysis
• Hawking radiation and secularly growing loop corrections
• Probing the Lorentz Symmetry Violation Using the First Image of Sagittarius A*: Constraints on Standard-Model Extension Coefficients
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• Relativistic self-gravitating Bose-Einstein condensates and cold baryons with a stiff equation of state
• Boson Stars with Nontrivial Topology
• Geodesic motion in the space-time of a non-compact boson star
• Analysis of Charged Compact Stars in Modified Gravity
• Charged Q-balls and boson stars and dynamics of charged test particles
• BTZ black hole from (3+1) gravity
• Boson Stars in a Theory of Complex Scalar Fields coupled to $U(1)$ Gauge Field and Gravity
• Compact (A)dS Boson Stars and Shells
• The Canonical Approach to Quantum Gravity: General Ideas and Geometrodynamics
• On the black hole limit of rotating fluid bodies in equilibrium
• On the Limits of Experimental Knowledge
• Entropy Identity and Material-Independent Equilibrium Conditions in Relativistic Thermodynamics
• Experimental Relativity with Accretion Disk Observations
• Gravastar under the framework of braneworld gravity II: effect of the Kuchowicz metric function
• Plebański-Demiański solution of general relativity and its expressions quadratic and cubic in curvature: analogies to electromagnetism
• Analytical Approximation for Newtonian Boson Stars in Four and Five Dimensions -- A Poor Person's Approach to Rotating Boson Stars
• Effects of Space-Time Curvature on Spin-1/2 Particle Zitterbewegung
• Breakdown of Lorentz Invariance for Spin-1/2 Particle Motion in Curved Space-Time with Applications to Muon Decay
• Perturbation theory for self-gravitating gauge fields I: The odd-parity sector
• Classical and Quantum Aspects of Particle Propagation in External Gravitational Fields
• Damping-Antidamping Effect on Comets Motion
• Magnetised relativistic accretion disc around a spinning, electrically charged, accelerating black hole: case of C-metric
• Two black hole initial data
• Energy-minimizing two black holes initial data
• Black Hole Field Theory with a Firewall in two spacetime dimensions
• Symmetric affine surfaces with torsion
• About the Constant of Motion, Lagrangian and Hamiltonian of the Gravitational Attraction of Two Bodies with Variable Mass (Gylden-Meshcherskii problem)
• On the Geometric Interpretation of Non-Singular Black Hole Interiors
• Two bodies gravitational system with variable mass and damping-antidamping effect due to star wind