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Lorentz Transformation and Minkowski Spacetime Would Give Two Different Theories of Special Relativity

Submitted:

10 February 2026

Posted:

12 February 2026

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Abstract
This paper critiques the established loss of simultaneity in special relativity which comes from Minkowski spacetime, and proposes a return to simultaneity through Lorentz transformation. Einstein's original thought experiment with a train (observer M’), an embankment (observer M) and lightning is shown, at first, to be inadequate for a test on simultaneity, and a new scenario is proposed. The new scenario posits that both observers M and M’ should be in the middle when the waves arrive (when waves leave is the original scenario). Despite time dilation and length contraction, simultaneity can be observed, suggesting that motion does not preclude simultaneity. But there is more; by using Lorentz invariance (therefore pure calculation), the conclusion of simultaneity will be reached with both the original and the new scenarios for both observers. This paper argues that Minkowski's oblique coordinates are probably unnecessary. Lorentz transformation maintains a consistent scale between observers, suggesting a shared background that supports simultaneity.
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