NONCOMMUTATIVE FERMION MASS MATRIX AND GRAVITY
2013 ◽
Vol 28
(25)
◽
pp. 1350120
◽
Keyword(s):
The first part is an introductory description of a small cross-section of the literature on algebraic methods in nonperturbative quantum gravity with a specific focus on viewing algebra as a laboratory in which to deepen understanding of the nature of geometry. This helps to set the context for the second part, in which we describe a new algebraic characterization of the Dirac operator in noncommutative geometry and then use it in a calculation on the form of the fermion mass matrix. Assimilating and building on the various ideas described in the first part, the final part consists of an outline of a speculative perspective on (noncommutative) quantum spectral gravity. This is the second of a pair of papers so far on this project.
2009 ◽
Vol 24
(15)
◽
pp. 2802-2819
◽
2010 ◽
Vol 25
(32)
◽
pp. 5897-5911
◽
Keyword(s):
1984 ◽
Vol 10
(1)
◽
pp. 1-10
◽
2009 ◽
Vol 24
(01)
◽
pp. 101-112
◽
Keyword(s):
2015 ◽
Vol 12
(08)
◽
pp. 1560021
1981 ◽
Vol 46
(11)
◽
pp. 691-694
◽
1982 ◽
Vol 8
(3)
◽
pp. 295-318
◽
Keyword(s):