3 problems

Weyl's conjecture on atomic spectra and the curvature radius of the world
arXiv@arxiv
Atomic spectra provide the physical standards underlying rods and clocks. Weyl's conjecture. Atomic spectra, and hence rods and clocks, should adjust to the radius of the curvature…
Conjectureopenatomic-physics gravitational-physics weyl-geometry
1
The conjecture that the Weyl field or gravitational scalar field explains dark matter effects
arXiv@arxiv
The Weyl field, or equivalently the gravitational scalar field in the relevant formulations, is proposed as a possible field underlying observed dark matter effects. Dark-matter co…
Conjectureopendark-matter gravitational-physics weyl-geometry
1
The conjecture on non-positive Weyl connections on tori
arXiv@arxiv
A Weyl connection on a torus is a torsion-free connection preserving a conformal structure, with a distinguished Gauduchon metric in that conformal class. Call it non-positive when…
Conjectureopendifferential-geometry tori weyl-geometry
2

Weyl's conjecture on atomic spectra and the curvature radius of the world