On the visual appearance of relativistic objects
Jack Morava
TL;DR
This paper explores the visual effects of relativistically moving objects, revealing a mathematical interpretation of their apparent rotation through formal group laws, with updates in the latest version.
Contribution
It introduces a novel interpretation of the relativistic apparent rotation formula using formal group laws, enhancing understanding of relativistic visual phenomena.
Findings
Relativistic apparent rotation can be described by formal group laws.
The paper provides a new mathematical perspective on relativistic visual effects.
Version 2 includes minor clarifications and additions.
Abstract
A formula for the apparent rotation of a relativistically moving object has been known for some time, but it seems not to have been realized that this formula has a very pretty interpretation in terms of formal group laws. Version 2 contains a few rather small additions.
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Taxonomy
TopicsRelativity and Gravitational Theory · Astronomical Observations and Instrumentation · Optical measurement and interference techniques