scholarly journals Detecting discrete spacetime via matter interferometry

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Todd A. Brun ◽  
Leonard Mlodinow
Keyword(s):  
2019 ◽  
Vol 7 ◽  
Author(s):  
Alexander I. Nesterov ◽  
Héctor Mata

PLoS ONE ◽  
2013 ◽  
Vol 8 (12) ◽  
pp. e80826
Author(s):  
Aaron D. Trout

1995 ◽  
Vol 93 (1) ◽  
pp. 173-184 ◽  
Author(s):  
H. Yamamoto ◽  
A. Hayashi ◽  
T. Hashimoto ◽  
M. Horibe

2006 ◽  
Vol 03 (08) ◽  
pp. 1481-1491 ◽  
Author(s):  
ALEXANDER I. NESTEROV ◽  
LEV V. SABININ

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'.


Author(s):  
Hans Diel

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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