SIGNAL PROPAGATION IN A POSITIVE DEFINITE RIEMANNAN SPACE
It is commonly accepted that the propagation of signals requires a space that is hyperbolic in time. The indefiniteness of the metric thus established contradicts the natural requirements of a rational metric. The proof is given that a genuinely Riemannian (positive definite) space of fourfold lattice structure is well suited to the propagation of signals, if the g/sub ik/ assume very large values along some narrow ridge surfaces. The resulting signal propagation is strictly translational and has the nature of a particle that moves with light velocity (photon). According to this theory the discrepancy between classical and quantum phenomena is caused by the misinterpretation of a Riemannian metric in Minkowskian terms. The Minkowskian metric comes about (in high approximation) macroscopically, in dimensions that are large in comparison to the fundamental lattice constant. Since this constant is of the order 10/sup - 32/ cm, this condition is physically always fulfilled. (auth)
- Research Organization:
- Dublin Inst. for Advanced Studies
- NSA Number:
- NSA-18-018771
- OSTI ID:
- 4027422
- Journal Information:
- Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Vol. Vol: 134; Other Information: Orig. Receipt Date: 31-DEC-64
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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