scholarly journals Detecting discrete spacetime via matter interferometry

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Todd A. Brun ◽  
Leonard Mlodinow
Keyword(s):  
Discrete Spacetime

scholarly journals How Nonassociative Geometry Describes a Discrete Spacetime

2019 ◽  
Vol 7 ◽  
Author(s):  
Alexander I. Nesterov ◽  
Héctor Mata
Keyword(s):  
Discrete Spacetime ◽  
Nonassociative Geometry

scholarly journals Dark Energy from Discrete Spacetime

PLoS ONE ◽  
2013 ◽  
Vol 8 (12) ◽  
pp. e80826
Author(s):  
Aaron D. Trout
Keyword(s):  
Dark Energy ◽  
Discrete Spacetime

scholarly journals Conserved Quantities of Field Theory on Discrete Spacetime

1995 ◽  
Vol 93 (1) ◽  
pp. 173-184 ◽  
Author(s):  
H. Yamamoto ◽  
A. Hayashi ◽  
T. Hashimoto ◽  
M. Horibe
Keyword(s):  
Field Theory ◽  
Conserved Quantities ◽  
Discrete Spacetime

scholarly journals NONASSOCIATIVE GEOMETRY: FRIEDMANN–ROBERTSON–WALKER SPACETIME

2006 ◽  
Vol 03 (08) ◽  
pp. 1481-1491 ◽  
Author(s):  
ALEXANDER I. NESTEROV ◽  
LEV V. SABININ
Keyword(s):  
Continuum Limit ◽  
Planck Length ◽  
Discrete Structure ◽  
Discrete Spacetime ◽  
Frw Model ◽  
Unified Description ◽  
Friedmann Robertson Walker ◽  
Nonassociative Geometry ◽  
Standard Concept

In (Phys. Rev. D62 (2000) 081501(R)) we proposed a unified description of continuum and discrete spacetime based on nonassociative geometry. It follows from our approach that at distances comparable with Planck length the standard concept of spacetime might be replaced by the nonassociative discrete structure, and nonassociativity is the algebraic equivalent of the curvature. In the framework of the nonassociative geometry we introduce discrete Friedmann–Robertson–Walker (FRW) model and show that the standard FRW spacetime appears as its 'continuum limit'.

scholarly journals Emerging Quantum Fields Embedded in the Emergence of Spacetime

2018 ◽  
Author(s):  
Hans Diel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Causal Model ◽  
Space Time ◽  
Quantum Field ◽  
Quantum Fields ◽  
Standard Quantum ◽  
Discrete Spacetime ◽  
Feynman Rules ◽  
Space Point

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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