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arXiv · 1812.05595

Lorentz invariant mass and length scales

Pasquale Bosso·Saurya Das
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Abstract

We show that the standard Lorentz transformations admit an invariant mass (length) scale, such as the Planck scale. In other words, the frame independence of such scale is built-in within those transformations, and one does not need to invoke the principle of relativity for their invariance. This automatically ensures the frame-independence of the spectrum of geometrical operators in quantum gravity. Furthermore, we show that the above predicts a small but measurable difference between the inertial and gravitational mass of any object, regardless of its size or whether it is elementary or composite.

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Pasquale Bosso, Saurya Das. 2019-04-16. Lorentz invariant mass and length scales. https://doi.org/10.1142/s0218271819500688

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