English

Quantum Relativity: an essay

General Physics 2010-05-20 v1

Abstract

Is "Gravity" a deformation of "Electromagnetism"? Deformation theory suggests quantizing Special Relativity: formulate Quantum Information Dynamics SL(2,C)hSL(2,C)_h-gauge theory of dynamical lattices, with unifying gauge ``group'' the quantum bundle obtained from the Hopf monopole bundle underlying the quaternionic algebra and Dirac-Weyl spinors. The deformation parameter is the inverse of light speed 1/c, in duality with Planck's constant h. Then mass and electric charge form a complex coupling constant (m,q), for which the quantum determinant of the quantum group SL(2,C)hSL(2,C)_h expresses the interaction strength as a linking number 2-form. There is room for both Coulomb constant kCk_C and Newton's gravitational constant GNG_N, exponentially weaker then the reciprocal of the fine structure constant α\alpha. Thus "Gravity" emerges already "quantum", in the discrete framework of QID, based on the quantized complex harmonic oscillator: the quantized qubit. All looks promising, but will the details backup this "grand design scheme"?

Keywords

Cite

@article{arxiv.1005.3484,
  title  = {Quantum Relativity: an essay},
  author = {Lucian M Ionescu},
  journal= {arXiv preprint arXiv:1005.3484},
  year   = {2010}
}

Comments

7 pages

R2 v1 2026-06-21T15:25:06.769Z