Collective Behavior in a Local Causal Model of Quantum Theory

Diel, Hans H.

doi:10.4236/oalib.1103898

Cited by 4 publications

(12 citation statements)

References 16 publications

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“…If, for a specific causal model of an area of physics the differing proper times of causal subsystems are relevant and/or the internal processes within the subsystems are included in the model, separate physics engines may be assigned to the subsystems with different proper times. 2 If, however, the causal model describes an area of physics where the relationship between proper times and other parameters is to be shown, it should be possible to show this with a single physics engine and a uniform SUTI for the overall system. For the proposed causal model of spacetime dynamics, the space-time relationship described in Section 3.1 enables a single physics engine and a uniform SUTI.…”

Section: The Representation Of Time In the Causal Modelmentioning

confidence: 99%

“…The language used is assumed to be largely self-explanatory. 2 An example can be found in the causal model described in [3], where separate physics engines are assigned to the "quantum objects".…”

Section: Spatial Causal Modelmentioning

confidence: 99%

“…mass and spin) and instantaneous processes (e.g., collapse of the wave function and entanglement), if it is not possible to break down the formation of the composite objects and the related non-local effects to space-point-local state transitions. In the causal model of QT/QFT described in [2], the non-local effects are explained by the collective behaviour of spacetime elements. Based on the causal model of spacetime dynamics described in Sections 3 and 4 and the concepts of the GSN, the model described in [2] can now be refined as follows.…”

Section: Collective Behaviourmentioning

confidence: 99%

“…In the causal model of QT/QFT described in [2], the non-local effects are explained by the collective behaviour of spacetime elements. Based on the causal model of spacetime dynamics described in Sections 3 and 4 and the concepts of the GSN, the model described in [2] can now be refined as follows.…”

Section: Collective Behaviourmentioning

confidence: 99%

See 3 more Smart Citations

Emerging Quantum Fields Embedded in the Emergence of Spacetime

Diel¹

2018

Preprint

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Based on a local causal model of the dynamics of curved discrete spacetime, a causal model of quantum field theory in curved discrete spacetime is described. At the elementary level, space(-time) is assumed to consists of interconnected space points. Each space point is connected to a small discrete set of neighbor space points. Density distribution of the space points and the lengths of the space point connections depend on the distance from the gravitational sources. This leads to curved spacetime in accordance with general relativity. Dynamics of spacetime (i.e., the emergence of space and the propagation of space changes) dynamically assigns "in-connections" and "out-connections" to the affected space points. Emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out-connections. Compatibility with standard quantum field theory (QFT) requests the adjustment of the QFT techniques (e.g., Feynman diagrams, Feynman rules, creation/annihilation operators), which typically apply to three in/out connections, to n > 3 in/out connections. In addition, QFT computation in position space has to be adapted to a curved discrete space-time.

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Section: The Representation Of Time In the Causal Modelmentioning

confidence: 99%

Section: Spatial Causal Modelmentioning

confidence: 99%

Section: Collective Behaviourmentioning

confidence: 99%

Section: Collective Behaviourmentioning

confidence: 99%

See 2 more Smart Citations

Emerging Quantum Fields Embedded in the Emergence of Spacetime

Diel¹

2018

Preprint

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show abstract

“…Open Access Library Journal mass and spin) and instantaneous processes (e.g., the collapse of the wave function and entanglement), if it is not possible to break down the formation of the composite objects and the related non-local effects to space-point-local state transitions. In the causal model of QT/QFT described in [16], the non-local effects are explained by the collective behaviour of spacetime elements. Based on the causal model of spacetime dynamics described in Sections 3 and 4 and the concept of the quantum loops, the model described in [16] can now be refined as follows.…”

Section: Collective Behaviourmentioning

confidence: 99%

A Local Causal Model of Spacetime Dynamics

Diel¹

2018

OALib

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The model of spacetime dynamics proposed here specifies how spacetime emerges, how changes of spacetime propagate, and how changes in spacetime arising from multiple sources accumulate. The overall goal of the model was to achieve maximum compatibility with general relativity and with Einstein's equation; this goal appears to be achievable except at very small scales, where the discreteness of the units of space matters. The elementary structure of space(-time) that is assumed in this model is a derivative of causal dynamical triangulation. At the elementary level, space consists of a (discrete) number of interconnected space points, each of which is connected to a small number of neighbouring space points. The curvature of spacetime is expressed by the density of these space points and by the arrangement of the connections between them. Dynamics of spacetime (i.e., the emergence of space and the propagation of space changes) dynamically assigns "in-connections" and "out-connections" to the affected space points. Based on the model of the dynamics of curved discrete spacetime, a model of quantum field theory in curved discrete spacetime is described. Emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out space point connections. Compatibility with standard quantum field theory requests the adjustment of the QFT techniques (e.g., Feynman diagrams, Feynman rules, creation/annihilation operators), which typically apply to three in/out connections, to 3 n > in/out connections.

show abstract

Emerging Quantum Fields Embedded in the Emergence of Spacetime

Diel¹

2018

Preprint

View full text Add to dashboard Cite

Based on a local causal model of the dynamics of curved discrete spacetime, a causal model of quantum field theory in curved discrete spacetime is described. On the elementary level, space(-time) is assumed to consists of interconnected space points. Each space point is connected to a small discrete set of neighboring space points. Density distribution of the space points and the lengths of the space point connections depend on the distance from the gravitational sources. This leads to curved spacetime in accordance with general relativity. Dynamics of spacetime (i.e., the emergence of space and the propagation of space changes) dynamically assigns "in-connections" and "out-connections" to the affected space points. Emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out-connections. Compatibility with standard quantum field theory (QFT) requests the adjustment of the QFT techniques (e.g., Feynman diagrams, Feynman rules, creation/annihilation operators), which typically apply to three in/out connections, to n > 3 in/out connections. In addition, QFT computation in position space has to be adapted to a curved discrete space-time.

show abstract

Collective Behavior in a Local Causal Model of Quantum Theory

Cited by 4 publications

References 16 publications

Emerging Quantum Fields Embedded in the Emergence of Spacetime

Emerging Quantum Fields Embedded in the Emergence of Spacetime

A Local Causal Model of Spacetime Dynamics

Emerging Quantum Fields Embedded in the Emergence of Spacetime

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