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 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 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 Complex networks in the framework of nonassociative geometry

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Alexander I. Nesterov ◽  
Pablo Héctor Mata Villafuerte
Keyword(s):  
Complex Networks ◽  
Nonassociative Geometry

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
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