Quantum Relativity: an essay
Abstract
Is "Gravity" a deformation of "Electromagnetism"? Deformation theory suggests quantizing Special Relativity: formulate Quantum Information Dynamics SL(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)h expresses the interaction strength as a linking number 2-form. There is room for both Coulomb constant kC and Newton's gravitational constant GN, exponentially weaker then the reciprocal of the fine structure constant α. 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"?
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.