Models of the universe based on Jordan algebras

被引：4

作者：

Ambjorn, J. ^{[1
,2
]}

Watabiki, Y. ^{[3
]}

机构：

[1] Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark

[2] Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys IMAPP, Heyendaalseweg 135, NL-6525 AJ Nijmegen, Netherlands

[3] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 152, Japan

来源：

NUCLEAR PHYSICS B | 2020年 / 955卷

关键词：

STRING FIELD-THEORY; VIRASORO CONSTRAINTS; QUANTUM-GRAVITY; REALIZATIONS; CDT;

D O I：

10.1016/j.nuclphysb.2020.115044

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We propose a model for the universe based on Jordan algebras. The action consists of cubic terms with coefficients being the structure constants of a Jordan algebra. Coupling constants only enter the theory via symmetry breaking which also selects a physical vacuum. “Before” the symmetry breaking the universe is in a pre-geometric state where it makes no sense to talk about space or time, but time comes into existence with the symmetry breaking together with a Hamiltonian which can create space from “nothing” and in some cases can propagate the space to macroscopic size in a finite time. There exists symmetry breaking which results in macroscopic spacetime dimensions 3, 4, 6 and 10, based on the Jordan algebras of Hermitian 3x3 matrices with real, complex, quarternion and octonion entries, respectively. © 2020 The Author(s)

引用

页数：54

共 35 条

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