## A New Solution to Einstein's Infinite Mass Challenge Based on Maximum Frequency

**Authors:** Espen Gaarder Haug

In 1905, Einstein presented his famous relativistic mass energy equation mc^2/Sqrt(1-{v^2/c^2). When v approaches c, the expression containing the moving mass approaches infinity. Einstein interpreted this in the following way: since one needs an infinite amount of energy to accelerate even a small mass to the speed of light, it would appear that no mass can ever reach the speed of light. In this paper, we present a new solution to the infinite mass challenge based on combining special relativity with insights from Max Planck and maximum frequency. By doing this we show that there is an exact limit on the speed v in Einstein's formula. This limit is only dependent on the Planck length and the reduced Compton wavelength of the mass in question. This also gives us a limit on the maximum relativistic Doppler shift that is derived and discussed.

**Comments:** 4 Pages. The updated version also gives a limit on the maximum relativistic Doppler shift

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### Submission history

[v1] 2016-09-06 18:15:37

[v2] 2016-11-06 10:50:17

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