2019/11/05 by Y. S. Kim, Kim, Y. S.
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.1911.01642
Two-photon states produce enough symmetry needed for Dirac's construction of the two-oscillator system which produces the Lie algebra for the O(3,2) space-time symmetry. This O(3,2) group can be contracted to the inhomogeneous Lorentz group which, according to Dirac, serves as the basic space-time symmetry for quantum mechanics in the Lorentz-covariant world. Since the harmonic oscillator serves as the language of Heisenberg's uncertainty relations, it is right to say that the symmetry of the Lorentz-covariant world, with Einstein's E = mc2, is derivable from Heisenberg's uncertainty relations.