Noncontextuality in Quantum Measure Theory

2006 ◽  
Author(s):  
David Craig
Keyword(s):  
Measure Theory ◽  
Quantum Measure ◽  
Quantum Measure Theory

scholarly journals A Bell inequality analog in quantum measure theory

2006 ◽  
Vol 40 (3) ◽  
pp. 501-523 ◽  
Author(s):  
David Craig ◽  
Fay Dowker ◽  
Joe Henson ◽  
Seth Major ◽  
David Rideout ◽  
...  
Keyword(s):  
Measure Theory ◽  
Bell Inequality ◽  
Quantum Measure ◽  
Quantum Measure Theory

scholarly journals Extended Minimal Atomicity through Nondifferentiability: A Mathematical-Physical Approach

2019 ◽  
Vol 2019 ◽  
pp. 1-16
Author(s):  
Gabriel Gavriluţ ◽  
Alina Gavriluţ ◽  
Maricel Agop
Keyword(s):  
Physical System ◽  
Measure Theory ◽  
A Priori ◽  
Flat Space ◽  
Mathematical Concept ◽  
Harmonic Mappings ◽  
Quantum Measure ◽  
Fractal Space ◽  
Differential Properties ◽  
Quantum Measure Theory

The mathematical concept of minimal atomicity is extended to fractal minimal atomicity, based on the nondifferentiability of the motion curves of physical system entities on a fractal manifold. For this purpose, firstly, different results concerning minimal atomicity from the mathematical procedure of the Quantum Measure Theory and also several physical implications are obtained. Further, an inverse method with respect to the common developments concerning the minimal atomicity concept has been used, showing that Quantum Mechanics is identified as a particular case of Fractal Mechanics at a given scale resolution. More precisely, for fractality through Markov type stochastic processes, i.e., fractalization through stochasticization, the standard Schrödinger equation is identified with the geodesics of a fractal space for motions of the physical system entities on nondifferentiable curves on fractal dimension two at Compton scale resolution. In the one-dimensional stationary case of the fractal Schrödinger type geodesics, a special symmetry induced by the homographic group in Barbilian’s form “makes possible the synchronicity” of all entities of a given physical system. The integral and differential properties of this group under the restriction of defining a parallelism of directions in Levi-Civita’s sense impose correspondences with the “dynamics” of the hyperbolic plane so that harmonic mappings between the ordinary flat space and the hyperbolic one generate (by means of a variational principle) a priori probabilities in Jaynes’ sense. The explicitation of such situation specifies the fact that the hydrodynamical variant of a Fractal Mechanics is more easily approached and, from this, the fact that Quantum Measure Theory can be a particular case of a possible Fractal Measure Theory.

scholarly journals Quantum Covers in Quantum Measure Theory

2010 ◽  
Vol 40 (6) ◽  
pp. 585-606 ◽  
Author(s):  
Sumati Surya ◽  
Petros Wallden
Keyword(s):  
Measure Theory ◽  
Quantum Measure ◽  
Quantum Measure Theory

Quantum measure theory

2010 ◽  
Vol 60 (5) ◽  
Author(s):  
Stan Gudder
Keyword(s):  
Elementary Particle ◽  
Measure Space ◽  
Measure Theory ◽  
Basic Properties ◽  
Quantum Measure ◽  
Product Measures ◽  
Quantum Measure Theory

AbstractWe first present some basic properties of a quantum measure space. Compatibility of sets with respect to a quantum measure is studied and the center of a quantum measure space is characterized. We characterize quantum measures in terms of signed product measures. A generalization called a super-quantum measure space is introduced. Of a more speculative nature, we show that quantum measures may be useful for computing and predicting elementary particle masses.

scholarly journals Popescu–Rohrlich boxes in quantum measure theory

2007 ◽  
Vol 40 (26) ◽  
pp. 7255-7264 ◽  
Author(s):  
Matthew Barnett ◽  
Fay Dowker ◽  
David Rideout
Keyword(s):  
Measure Theory ◽  
Quantum Measure ◽  
Quantum Measure Theory
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