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arXiv · 1911.01642

Role of Quantum Optics in Synthesizing Quantum Mechanics and Relativity

Y. S. Kim
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Abstract

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 $E = mc^2$, is derivable from Heisenberg's uncertainty relations.

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Y. S. Kim. 2019-11-05. Role of Quantum Optics in Synthesizing Quantum Mechanics and Relativity. https://arxiv.org/abs/1911.01642

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