scholarly journals Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature

2016 ◽  
Vol 106 ◽  
pp. 234-255 ◽  
Author(s):  
Gwendolyn E. Barnes ◽  
Alexander Schenkel ◽  
Richard J. Szabo
Keyword(s):  
Nonassociative Geometry

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 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 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'.

GRADED LIE ALGEBRA AND THE SU(3)L⊗U(1)N GAUGE MODEL

2011 ◽  
Vol 26 (05) ◽  
pp. 873-909 ◽  
Author(s):  
M. BOUSSAHEL ◽  
N. MEBARKI
Keyword(s):  
Lower Bounds ◽  
Lie Group ◽  
Gauge Model ◽  
Gauge Bosons ◽  
Mixing Angles ◽  
Scalar Particles ◽  
Graded Lie Algebra ◽  
Weinberg Angle ◽  
Parameter Constraints ◽  
Nonassociative Geometry

A classical gauge model based on the Lie group SU (3)L⊗ U (1)N with exotic quarks is reformulated within the formalism of nonassociative geometry associated with an L cycle. The N charges of the fermionic particles and the related parameter constraints are algebraic consequences and are uniquely determined. Moreover, the number of scalar particles is dictated by the nonassociativity of the geometry. As a byproduct of this formalism, the Weinberg angle θw, scalar, charged and neutral gauge boson masses, as well as the mixing angles, are derived. Furthermore, various expressions for the vector and axial couplings of the quarks and leptons with the neutral gauge bosons and lower bounds of the very heavy gauge bosons are obtained.

scholarly journals Perspectives on Nonassociative Geometry

2016 ◽  
Author(s):  
Richard Szabo ◽  
Gwendolyn Elizabeth Barnes ◽  
Alexander Schenkel
Keyword(s):  
Nonassociative Geometry

scholarly journals Left-right gauge model in nonassociative geometry

2000 ◽  
Vol 2000 (02) ◽  
pp. 018-018 ◽  
Author(s):  
Achour Benslama ◽  
Noureddine Mebarki
Keyword(s):  
Gauge Model ◽  
Nonassociative Geometry

scholarly journals Braided cyclic cocycles and nonassociative geometry

2004 ◽  
Vol 45 (10) ◽  
pp. 3883-3911 ◽  
Author(s):  
S. E. Akrami ◽  
S. Majid
Keyword(s):  
Nonassociative Geometry
Sign in / Sign up

Export Citation Format

Share Document