@njwildberger
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Insights into Mathematics | Time Contraction and length dilation in SR | Sociology in Pure Physics | N J Wildberger @njwildberger | Uploaded 8 months ago | Updated 5 hours ago
We present a simplified Euclidean version of the mathematics behind Special Relativity, in which we are able to appreciate some of the seemingly remarkable consequences of the Lorentz transformations such as time dilation and length contraction. As the title of the video suggests, in the Euclidean case there is an interesting twist.

With a bit of geometry and linear algebra, we see that the heart of the matter is just a change of coordinates. Nothing "physical" is happening here, except that we are just developing the consequences of having different points of view on the same "underlying story". In fact we move towards letting go of there being a well-defined "underlying story": there are only points of view and the relations between them.

This is an elementary talk that hopefully will be accessible to a broad audience, even with only some basic high school mathematics.

This is part of the Sociology and Pure Maths playlist available at youtube.com/watch?v=UZah3BqsU8w&list=PLIljB45xT85A-qCypcmZqRvaS1pGXpTua

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My research papers can be found at my Research Gate page, at researchgate.net/profile/Norman_Wildberger

My blog is at http://njwildberger.com, where I will discuss lots of foundational issues, along with other things.

Online courses are being developed at openlearning.com. The first one, already underway, is Algebraic Calculus One at openlearning.com/courses/algebraic-calculus-one Please join us for an exciting new approach to one of mathematics' most important subjects!

If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at patreon.com/njwildberger Your support would be much appreciated.

Here are the Insights into Mathematics Playlists:

youtube.com/playlist?list=PL55C7C83781CF4316
youtube.com/playlist?list=PL3C58498718451C47
youtube.com/playlist?list=PL5A714C94D40392AB
youtube.com/playlist?list=PLIljB45xT85BhzJ-oWNug1YtUjfWp1qAp
youtube.com/playlist?list=PLIljB45xT85Bfc-S4WHvTIM7E-ir3nAOf
youtube.com/playlist?list=PLIljB45xT85D94vHAB8joyFTH4dmVJ_Fw
youtube.com/playlist?list=PL8403C2F0C89B1333
youtube.com/playlist?list=PLIljB45xT85CcGpZpO542YLPeDIf1jqXK
youtube.com/playlist?list=PLIljB45xT85Aqe2b4FBWUGJdYROT6-o4e
youtube.com/playlist?list=PLIljB45xT85DB7CzoFWvA920NES3g8tJH
youtube.com/playlist?list=PLIljB45xT85A-qCypcmZqRvaS1pGXpTua
youtube.com/playlist?list=PLIljB45xT85DH__ZzGQWQrVRxlbKh-Nsa
youtube.com/playlist?list=PLIljB45xT85CdeBmQZ2QiCEnPQn5KQ6ov
youtube.com/playlist?list=PLIljB45xT85AMigTyprOuf__daeklnLse
youtube.com/playlist?list=PLIljB45xT85CnIGIWb7tH1F_S2PyOC8rb
youtube.com/playlist?list=PLIljB45xT85CN9oJ4gYkuSQQhAtpIucuI
youtube.com/playlist?list=PLIljB45xT85DWUiFYYGqJVtfnkUFWkKtP
youtube.com/playlist?list=PL6763F57A61FE6FE8
youtube.com/playlist?list=PLBF39AFBBC3FB30AF
youtube.com/playlist?list=PLIljB45xT85DSrlV6NX8RMBksZhdTHtwW
youtube.com/playlist?list=PLIljB45xT85Bmcc9ksBOAKgIZAl0BwPg7

Here are the Wild Egg Maths Playlists (some available only to Members!)

youtube.com/playlist?list=PLzdiPTrEWyz4rKFN541wFKvKPSg5Ea6XB
youtube.com/playlist?list=PLzdiPTrEWyz4VlOppC5CN0D0GjrjvBGKy
youtube.com/playlist?list=PLzdiPTrEWyz5VLVr-0LPPgm4T1mtU_DG-
youtube.com/playlist?list=PLzdiPTrEWyz6zpIZ4Y_RK9zyJ9OufqNJv
youtube.com/playlist?list=PLzdiPTrEWyz7hk_Kzj4zDF_kUXBCtiGn6
youtube.com/playlist?list=PLzdiPTrEWyz5j1BJdXBw1MFst_nQAqzZ_
youtube.com/playlist?list=PLzdiPTrEWyz5HWgaVkhIwpGVKi6fciRxW
youtube.com/playlist?list=PLzdiPTrEWyz5HBT_Yo1G4DfeqUfI9zkKM
youtube.com/playlist?list=PLzdiPTrEWyz7LKbuJAHaXAhRj2ylD0OoX
youtube.com/playlist?list=PLzdiPTrEWyz6VcJQ5xcuqY6g4DWjvpmjM
youtube.com/playlist?list=PLzdiPTrEWyz6MwUTOHRgC0oIxVtaHGQBd
youtube.com/playlist?list=PLzdiPTrEWyz4KD007Ge10dfrDVc4YwlYS
youtube.com/playlist?list=PLzdiPTrEWyz4IknbwXMEVwxOWS3z1Ch3C
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Time Contraction and length dilation in SR | Sociology in Pure Physics | N J WildbergerIrreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J WildbergerThe operation of caret / exponentiation (new!) via multisets | Math Foundations 229 | N J WildbergerSums of products, or products of sums? Neither! | MathFoundations 267 | N J WildbergerA Systematic Approach to Logical Deduction, & the Boole-Mobius transform II | MF278 | N J WildbergerTowards a Sociology of Pure Mathematics | Sociology and Pure Maths | N J WildbergerThe Central Object In Mathematics! | Sociology of Pure Mathematics | N J WildbergerThe major scale is almost uniform (and 42) | Maths and Music | N J WildbergerPuzzles with measurement I | Elementary Mathematics (K-6) Explained 25 | N J WildbergerPlatonic solids and their symmetries | Dynamics on Graphs 10 | Wild Egg MathsFractions and Equivalence Relations (Addendum)| Famous Math Problems 24e | N J WildbergerHow the Algebra of Boole simplifies circuit analysis (III) | MathFoundations 266 | N J Wildberger

Time Contraction and length dilation in SR | Sociology in Pure Physics | N J Wildberger @njwildberger

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