How Do I Perform a Galilei and Lorentz Transform?

Thread starter NoLook
Start date Dec 9, 2020
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Invariant Light Wave

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SUMMARY

The discussion focuses on executing Galilei and Lorentz transformations, essential concepts in classical and relativistic physics, respectively. The Galilei transformation applies to non-relativistic scenarios, while the Lorentz transformation is crucial for understanding phenomena at relativistic speeds. Participants emphasize the importance of referencing relevant equations and adhering to forum guidelines by posting personal attempts before seeking assistance.

PREREQUISITES

Understanding of classical mechanics and the Galilean transformation
Familiarity with special relativity and the Lorentz transformation
Basic knowledge of physics equations and their applications
Ability to interpret and manipulate mathematical formulas

NEXT STEPS

Study the mathematical derivation of the Galilei transformation
Explore the implications of the Lorentz transformation in high-speed scenarios
Review the principles of special relativity and its foundational equations
Practice solving problems involving both transformations in physics contexts

USEFUL FOR

Physics students, educators, and anyone interested in the mathematical foundations of classical and relativistic physics will benefit from this discussion.

Dec 9, 2020

NoLook

New user has been reminded to show their work on schoolwork questions

Homework Statement: How do I prove that the wavefront of a spheric light wave (c^2 * t^2 = x^2 + y^2 + z^2 = r^2) is not Galilei-invariant but Lorentz-invariant?

Relevant Equations: c^2 * t^2 = x^2 + y^2 + z^2 = r^2

c^2 * t^2 = x^2 + y^2 + z^2 = r^2

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Dec 9, 2020

BvU

Science Advisor

Homework Helper

Hello @NoLook, :welcome:

!

Execute a Galilei transform and a Lorentz transform -- the formulas should have been in your relevant equations list

But first read the PF guidelines -- the require you make and post your own attempt