space & time

Matters relating to length and duration in physics and transportation

Complete Lorentz group

The complete Lorentz transformation may be written as r′ = γ (r − ct(v/c)), ct′ = γ (ct – rv/c), and γ = (1 – v2/c2)–1/2, which applies only if |v| < |c|, and r′ = γ (r − ct(c/v)), ct′ = γ (ct − r(c/v)), and γ = (1 − c2/v2)–1/2, which applies only

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Complete Lorentz transformation

This is a continuation of a series of posts that began with Lorentz for space and time. The standard Lorentz transformation applies only if |v| < |c|. The complete transformation for all real values of v is presented here based on both the relative space, absolute time (R-A) Galilean transformation as well as the complementary

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Four perspectives on space and time

There are four perspectives on space and time depending on whether the observer is internal or external to space or time. The four perspectives are internal space with internal time, external space with internal time, internal space with external time, and external space with external time. The internal perspective is that of an observer traveling along

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Three arguments for 3D time

There are three main arguments for duration to have three dimensions: (1) The speed of light is a conversion factor between length space (distance) and duration (distime). Transportation conversion factors include the maximum, minimum, or typical speeds associated with different travel modes. Since length space is three dimensional, its conversion into duration space is also

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