Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-04-29
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, latex, epsf, amssymbols, 1 figures
Scientific paper
Measuring distances on a lattice in noncommutative geometry involves square, symmetric and real ``three-diagonal'' matrices, with the sum of their elements obeying a supremum condition, together with a constraint forcing the absolute value of the maximal eigenvalue to be equal to 1. In even dimensions, these matrices are unipotent of order two, while in odd dimensions only their squares are Markovian. We suggest that these bi-graded Markovian matrices (i.e. consisting in the square roots of Markovian matrices) can be thought of as non-local Dirac operators. The eigenvectors of these matrices are spinors. Treating these matrices as determining the stochastic time evolution of states might explain why one observes only left handed neutrinos. Some other physical interpretations are suggested. We end by presenting a mathematical conjecture applying to q-graded Markovian matrices.
No associations
LandOfFree
Bi-Graded Markovian Matrices as Non-Local Dirac Operators and a New Quantum Evolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bi-Graded Markovian Matrices as Non-Local Dirac Operators and a New Quantum Evolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bi-Graded Markovian Matrices as Non-Local Dirac Operators and a New Quantum Evolution will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-171655