The speed of light under the IST and Lorentz Transformations
Chandru Iyer
TL;DR
This paper extends the IST transformation to three-dimensional space, deriving the behavior of light speed under this transformation and showing conditions under which the one-way speed of light remains constant.
Contribution
It introduces a three-dimensional extension of the IST transformation and analyzes the resulting properties of light speed and synchronization conventions.
Findings
The round trip speed of light remains constant under the IST transformation.
Under proper synchronization, the one-way speed of light is also constant.
The transformation smoothly relates observed directions in different frames.
Abstract
We expand the IST transformation to three-dimensional Euclidean space and derive the speed of light under the IST transformation. The switch from the direction cosines observed in K to those observed in K-prime is surprisingly smooth. The formulation thus derived maintains the property that the round trip speed is constant. We further show that under the proper synchronization convention of K-prime, the one-way speed of light becomes constant.
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Taxonomy
TopicsGeophysics and Sensor Technology · Relativity and Gravitational Theory · Algebraic and Geometric Analysis