Preprint Article Version 1 This version is not peer-reviewed

Special Relativity Leads to a Trans-Planckian Crisis that Is Solved by Haug's Maximum Velocity for Matter

Version 1 : Received: 7 December 2018 / Approved: 10 December 2018 / Online: 10 December 2018 (13:43:34 CET)

How to cite: Haug, E. Special Relativity Leads to a Trans-Planckian Crisis that Is Solved by Haug's Maximum Velocity for Matter. Preprints 2018, 2018120102 (doi: 10.20944/preprints201812.0102.v1). Haug, E. Special Relativity Leads to a Trans-Planckian Crisis that Is Solved by Haug's Maximum Velocity for Matter. Preprints 2018, 2018120102 (doi: 10.20944/preprints201812.0102.v1).

Abstract

In gravity theory, there is a well-known trans-Planckian problem, which is that general relativity theory leads to a shorter than Planck length and shorter than Planck time in relation to so-called black holes. However, there has been little focus on the fact that special relativity also leads to a trans-Planckian problem, something we will demonstrate here. According to special relativity, an object with mass must move slower than light, but special relativity has no limits on how close to the speed of light something with mass can move. This leads to a scenario where objects can undergo so much length contraction that they will become shorter than the Planck length as measured from another frame, and we can also have shorter time intervals than the Planck time. The trans-Planckian problem is easily solved by a small modi cation that assumes Haug's maximum velocity for matter is the ultimate speed limit for something with mass. This speed limit depends on the Planck length, which can be measured without any knowledge of Newton's gravitational constant or the Planck constant. After a long period of slow progress in theoretical physics, we are now in a Klondike "gold rush" period where many of the essential pieces are falling in place.

Subject Areas

Special relativity theory, length contraction, Planck length, Planck time, trans-Planck

Readers' Comments and Ratings (0)

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.