English

Are Mass and Length Quantized?

General Physics 2007-08-30 v5

Abstract

We suggest that there are time-varying quanta of mass (gomidia) and of length (somia), thus pointing to a quantization of geometry and gravitation. The present numerical value of the gomidium and somium, are, 10 to the power minus 65 grams, and 10 to the power minus 91 centimeters. Gomidia may be responsible for dark matter in the Universe; Heisenberg's principle, confirms the numerical estimates for gomidia and somia, either for the present Universe, or for Planck's time.

Cite

@article{arxiv.0707.3290,
  title  = {Are Mass and Length Quantized?},
  author = {Marcelo Samuel Berman},
  journal= {arXiv preprint arXiv:0707.3290},
  year   = {2007}
}

Comments

New version is entirely re-written. I clarified and went more directly "to the point". I added material on Heisenberg's uncertainty and deleted all reference to neutrinos. Submitted

R2 v1 2026-06-21T09:00:38.512Z