How to derive simple time dilation formula: Δt=γ*Δt' [Pythagoras' Theorem, Lorentz Factor]
Mathematics Proofs - GCSE & A Level
In this video I demonstrate how to get the simple time dilation formula Δt=γ*Δt' using Einstein's assumptions in the special theory of relativity, perspective and Pythagoras' theorem.
You can find the workings included in this video here: https://www.instagram.com/p/CZrNXtysJb8/
Information sources: Sources: Relativity and Quantum Physics for Beginners, Steven L. Manly and Steven Fournier (Pages 33-37). Episode 42: The Lorentz Transformation - The Mechanical Universe (Youtube - https://youtu.be/feBT0Anpg4A). en.wikipedia.org/wiki/Time_dilation
Pythagoras' Theorem Proof: https://youtu.be/KAbUjRgETK0
Image: Einstein and Lorentz (Paul Ehrenfest, Public Domain, via Wikimedia Commons)
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