Lorentz Transformations VS Galilean Transformations | Special Relativity

The goal of this video is to show that for small velocities, the Lorentz transformations are equivalent to the Galilean transformations.

00:00 Introduction
00:12 Galilean Transformation
00:46 Lorentz Transformations
01:09 Making a Connection
01:17 Mathematical Details

References:
[1] Carroll, "Spacetime and Geometry", Pearson (2014).

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[ArpanD]

Wow, please don't stop making these videos. I just finished learning inverse Lorentz transformations and Lorentz transformations and I am about to start geodesics. This video came just at the right time:):) Thanks

[sabrinelalami]

When are we talking about low/high velocities??(maybe u already explained it in the video, but I am not good in english:(()

[TomažPodobnik]

Yes, but this is is only 1/2 of what you had set as the goal of the video - the Lorentz transformation of time for \beta << 1 is not equivalent to the appropriate Galilean transformation.

[everythingisalllies]

Shame that the special theory of relativity is nonsense. All that math for nothing.

[aremijfaye]

In relativity mainly all properties depend on lorentz factor. What if a relativistic object has a property which does not depend on lorenzt factor? What does this physically mean for that property?

[thattwodimensionalant]

This is great, thanks! Which type of maths would you say is most important before getting in to relativity? What are the prerequisites?

[eddiefreeman]

Thank you for this, your videos are really helpful!