Abstract
Gravitational fields and accelerations cannot change quantized magnetic flux in closed line contours due to flat 3D section of curved 4D space-time-matter. The relativistic Bohr-Sommerfeld quantization of the imaginary charge reveals an electric analog of the Compton length, which can introduce quantitatively the fine structure constant and the Plank length.
Highlights
One may conventionally associate canonical energy-momentum densities of a distributed Cooper pair with relativistic gravitational and electromagnetic fields
We arrived for the curved space-time to the very Bohr-Sommerfeld quantisation rule from the Special Theory of Relativity
Space-time interval for distributed radial matter can depend on gravitational fields, but keep six inherent metric bounds or symmetries goigo jg−oo1(x) = gi j(x) + δi j
Summary
One may conventionally associate canonical energy-momentum densities of a distributed Cooper pair with relativistic gravitational and electromagnetic fields,. This material density, as was assumed by London in 1934, is to be finite in all space points where the single-valued phase χ of superfluid matter is defined. 2 4D path quantization of extended charged particles
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