4 citations · 6 across the 5 of their papers we have counts for
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General Relativity and Quantum Jumps: The Existence of Nondiffeomorphic Solutions to the Cauchy Problem in Nonempty Spacetime and Quantum Jumps as a Provider of a Canonical Spacetime Structure
Vladimir S. Mashkevich
It is shown that in spite of a generally accepted concept, there exist nondiffeomorphic solutions to the Cauchy problem in nonempty spacetime, which implies the necessity for canon…
Cosmological Quantum Jump Dynamics II. The Retrodictive Universe
Vladimir S. Mashkevich
This paper is a continuation of the paper gr-qc/0203045 and is devoted to the problem of the arrow of time. A deterministic past-directed dynamics is constructed, which results in…
Cosmological Quantum Jump Dynamics I. The Principle of Cosmic Energy Determinacy, Equations of Motion, and Jumps Probabilities
Vladimir S. Mashkevich
The universe, as a closed system, is for all time in a state with a determinate value of energy, i.e., in an eigenstate of the Hamiltonian. That is the principle of cosmic energy d…
The Indeterministic Einstein Equation: Quantum Jumps, Spacetime Structure, and Dark Pseudomatter
Vladimir S. Mashkevich
Current physics is faced with the fundamental problem of unifying quantum theory and general relativity, which would have resulted in quantum gravity. The main effort to construct…
Unboundable Spacetimes with Metric Singularities and Matching Metrics and Geodesics: A Black-White Hole and a Big Crunch-Bang
Vladimir S. Mashkevich
Singularity theorems of general relativity utilize the notion of causal geodesic incompleteness as a criterion of the presence of a spacetime singularity. The incompleteness of a c…
Classical and Quantum Fields in Curved Spacetime: Canonical Theory versus Conventional Construction
Vladimir S. Mashkevich
We argue that the conventional construction for quantum fields in curved spacetime has a grave drawback: It involves an uncountable set of physical field systems which are nonequiv…