Published October 10, 2025
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A Numerical Database of Maximum Angular Speed Across Flat and Curved Spacetimes
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Abstract
We present a comprehensive numerical database of the maximum angular speed ω-max as a function of radius in different spacetime geometries, including flat space-time, weakly curved spacetime (Earth), and strongly curved spacetime (Schwarzschild black holes). This study incorporates the Planck length as the smallest meaningful length scale, highlighting the interplay between relativity and quantum gravity. Six figures accompany this work to visually represent variations and corrections introduced by spacetime curvature and fundamental physical limits.
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References
- A. Einstein, "Zur Elektrodynamik bewegter K¨orper," Annalen der Physik, vol. 17, pp. 891–921, 1905.
- K. Schwarzschild, "Uber das Gravitationsfeld eines Massenpunktes nach der Ein- ¨ steinschen Theorie," Sitzungsberichte der K¨oniglich Preussischen Akademie der Wis- senschaften, pp. 189–196, 1916.
- R. M. Wald, General Relativity, University of Chicago Press, Chicago, 1984.
- S. M. Carroll, Spacetime and Geometry: An Introduction to General Relativity, Ad- dison Wesley, San Francisco, 2004.
- Md. Shaikhul Hadis Nazat, "Universal Maximum Angular Speed for Objects in Flat and Curved Spacetime: Theoretical Upper Bound for Massless and Massive Particles," Zenodo, 2025. https://doi.org/10.5281/zenodo.17179249