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@SpacemanSR For your question on ang. mom: The angular momentum tensor is conserved but just the spatial angular momentum is not.
Remember boosts just relate coordinates in diff. inertial frames. It is a mathematical description and does not “impart” anything physical.
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@SpacemanSR Yes, in special relativity, transformations are linear, but are best described using tensor notation. Quantities are vector-like, but have four components (since we are in a 4D vector space). For example, four-velocity and four-momentum.
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Reading up on different types of manifolds in Euclidean space (our 3D reality) and it's cool to see an entire branch of mathematics stem into something philosophical to its own degree. Using Proofs to wax poetically about the geometrical nature of an inanimate Universe is some next-level stuff outta Humans
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@SpacemanSR Yes, hyperbolic in the sense that sin and cos in SO(3) can be replaced with sinh and cosh with a suitable angle (known as rapidity). These special rotations, known as Lorentz boosts, preserve ds^2, and time dilation and length contraction is a direct consequence.
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@MailmanRL oooh I see, so if the first entry of the metric would have a negative signature then the Pythagorean theorem would be just s2=-t2+x2+y2+z2, and rotations in a space-time plane plane are hyperbolic? Appreciate you taking the time to discuss!
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Hello tout le monde !
👕Pour fêter la reprise des RLCS, je vous fais gagner un ensemble héritage BDS x Kappa !
Pour participer :
➡️ Suivez @TeamBDS et @M0nkeyM00n
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🔁et Retweetez-le !
Le gagnant sera sélectionné dimanche à 18h !
Bonne chance à tous !

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Been an exciting first month!
Can’t wait for next semester to get underway 💪
Butler Esports@ButlerEsports
MEET THE COACHES: DAY 3 Meet Jake Alford! Game: Rocket League 🏎️ We're excited to welcome Jake to Butler 🐶 We know he'll do great things! ✅🎉
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BDS gives me the opportunity to offer you a M0nkey M00n customized BDS 2024 jersey! All you have to do is:
Follow @M0nkeyM00n & @TeamBDS
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Drawing next week! 🎁

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