Quantum Mechanics and Relativity: Their Unification by Local time

Hitoshi Kitada ()
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Hitoshi Kitada: University of Tokyo, Department of Mathematical Sciences

Chapter 4 in Spectral and Scattering Theory, 1998, pp 39-66 from Springer

Abstract: Abstract In a framework of a stationary universe, time is defined as a local and quantum-mechanical notion in the sense that it is defined for each local and quantum-mechanical system consisting of a finite number of particles. In this context, the total universe consisting of an infinite number of particles has no time associated, and quantum mechanics and general theory of relativity are united consistently. Relativistic Hamiltonians including gravitation are derived as a consequence of our treatment of observation. Related open problems in mathematical physics are presented.

Keywords: Local Time; Differential Cross Section; Local System; Gravitational Potential; Selfadjoint Operator (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4899-1552-8_4

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