摘要: Quantum set theory permits the formulation of a quantum simplicial topology suitable for time space and gravity without prior structure. The simplex differs strikingly from classical: It is isotropic (“points in all directions”) simplexes same signature are congruent. complexes described byS numbers, elements Clifford algebra sets. isotropy groups noncontiguous commute, like local invariance gaugeinvariant theory.
springer.com
harvard.edu
sci-hub.se 参考文章(7)
Claude Chevalley, The construction and study of certain important algebras ,(1955)
J. Dieudonné, Review: C. Chevalley, The construction and study of certain important algebras Bulletin of the American Mathematical Society. ,vol. 62, pp. 69- 71 ,(1956) , 10.1090/S0002-9904-1956-09986-0
David Finkelstein, Space-Time Code. II Physical Review D. ,vol. 5, pp. 320- 328 ,(1972) , 10.1103/PHYSREVD.5.320
R. I. Pimenov, Spaces of kinematic type Mathematical Notes of the Academy of Sciences of the USSR. ,vol. 7, pp. 386- 392 ,(1970) , 10.1007/BF01123852
David Finkelstein, Space-Time Code Physical Review. ,vol. 184, pp. 1261- 1271 ,(1969) , 10.1103/PHYSREV.184.1261
David Finkelstein, Quantum sets and clifford algebras International Journal of Theoretical Physics. ,vol. 21, pp. 489- 503 ,(1982) , 10.1007/BF02650180
David Finkelstein, Space-Time Code. III Physical Review D. ,vol. 5, pp. 2922- 2931 ,(1972) , 10.1103/PHYSREVD.5.2922