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Speeding in Minkowski spacetime
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DOI：10.1080/27684830.2025.2572185.png)
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Abstract
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Albert Einstein's special theory of relativity is encompassed under his general theory of relativity in everything but length contraction and time dilation. In the special theory of relativity, these phenomena are based on relative motion. The general theory of relativity is based on spacetime. This paper corrects that disconnect and shows that spacetime can explain length contraction and time dilation. In this paper, I mathematically step the spacetime interval to the Lorentz transformation. I do this by introducing the spacetime speed triangle which is a geometric representation of spacetime created from the spacetime interval. Not only does the spacetime speed triangle clean up the relationship between the special and general theories but it also brings a connection between spacetime and quantum mechanics. This connection is the spacetime speed triangle is a similar triangle to the energy-momentum relation triangle. This similarity with the matter waves equations brings in other quantum mechanics variables to spacetime.
Keywords:
Energy-momentum relation
geometric representation of spacetime
special theory of relativity
spacetime
spacetime interval
length contraction
time dilation
Lorentz factor
Lorentz transformation
Journal
R
IF:
1.1
Papers:
72
Citations:
0
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