منابع مشابه
Wave Particle Duality in General Relativity
In this paper a one to one correspondence is established between spacetime metrics of general relativity and the wave equations of quantum mechanics. This is done by first taking the square root of the metric associated with a space and from there, passing directly to a corresponding expression in the dual space. It is shown that in the case of a massless particle, Maxwell’s equation for a phot...
متن کاملWave Mechanics and General Relativity: a Rapprochement
Using exact solutions, we show that it is in principle possible to regard waves and particles as representations of the same underlying geometry, thereby resolving the problem of wave-particle duality. Scheduled to appear in Vol. 38, May 2006, of J. Gen. Rel. and Grav. Correspondence: Mail to address above, fax=(519)746-8115
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We consider a class of spacetimes for which the essential part of Einstein’s equations can be written as a wave map equation. The domain is not the standard one, but the target is hyperbolic space. One ends up with a 1+1 non-linear wave equation, where the space variable belongs to the circle and the time variable belongs to the positive real numbers. The main objective of this paper is to anal...
متن کاملStable singularities of wave-fronts in general relativity
A wave-front in a space-time M is a family of null geodesics orthogonal to a smooth spacelike two-surface in M; it is of some interest to know how a wave-front can fail to be a smoothly immersed surface in M. In this paper we see that the space of null geodesics N of M, considered as a contact manifold, provides a natural setting for an efficient study of the stable singularities arising in the...
متن کاملDifferential Forms and Wave Equations for General Relativity
Recently, Choquet-Bruhat and York and Abrahams, Anderson, ChoquetBruhat, and York (aacy) have cast the 3+1 evolution equations of general relativity in gauge-covariant and causal “first-order symmetric hyperbolic form,” thereby cleanly separating physical from gauge degrees of freedom in the Cauchy problem for general relativity. A key ingredient in their construction is a certain wave equation...
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ژورنال
عنوان ژورنال: Physical Review
سال: 1961
ISSN: 0031-899X
DOI: 10.1103/physrev.121.1556