Are Mass and Length Quantized?

TL;DR

This paper proposes that mass and length are quantized with specific time-varying quanta, suggesting a link to the quantization of geometry and gravity, and explores their potential role in dark matter.

Contribution

It introduces the concepts of time-varying mass and length quanta, called gomidia and somia, with estimated values and implications for dark matter and fundamental physics.

Findings

Gomidia and somia have specific numerical values (~10^-65 g and ~10^-91 cm).

Heisenberg's principle supports the estimates for these quanta.

Gomidia may account for dark matter in the Universe.

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.