raptop changed the topic of #kspacademia to: https://gist.github.com/pdn4kd/164b9b85435d87afbec0c3a7e69d3e6d | Dogs are cats. Spiders are cat interferometers. | Космизм сегодня! | Document well, for tomorrow you may get mauled by a ネコバス. | <UmbralRaptor> egg|nomz|egg: generally if your eyes are dewing over, that's not the weather. | <ferram4> I shall beat my problems to death with an engineer. | We can haz pdf
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<UmbralRaptop>
wait, you can't add 4-vectors because they're not in a real vector space? o_O
<UmbralRaptop>
Though it is a vector, addition of two four-velocities does not yield a four-velocity: the space of four-velocities is not itself a vector space.[nb 2]
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<egg|cell|egg>
UmbralRaptor: that's a bit misleading
<UmbralRaptop>
aaaaaaaa
<egg|cell|egg>
The tangent spaces are vector spaces
<egg|cell|egg>
The tangent bundle is a collection of vector spaces
<egg|cell|egg>
Have you done any differential geometry
<UmbralRaptop>
… probably not
<UmbralRaptop>
but collection ≠ field or ring?
<egg|cell|egg>
No but nevermind the point they are making here is normalisation
<egg|cell|egg>
UmbralRaptor: unit vectors don't form a vector space
<UmbralRaptop>
ah
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<egg|cell|egg>
UmbralRaptor: meow
<UmbralRaptop>
egg|cell|egg: caw
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* UmbralRaptop
🔪 tachyons
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<oeuf>
UmbralRaptop: it really just is "a direction in the 4-manifold at an event"
<oeuf>
(and it's fairly clear that directions don't have an additive structure)
<UmbralRaptop>
this raises questions about some problems involving 4-momentum
<oeuf>
UmbralRaptop: meow?
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<UmbralRaptop>
egg|cell|egg: just if adding them for the purposes of a particle collision actually makes sense, or if it only works because we do tricks to make most of it into masses
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* UmbralRaptop
just walked between bus stops with a 40 minute headway (+14 minutes to get between them) in 38 minutes =\
* UmbralRaptop
is becoming convinced that buses are largely pointless
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<UmbralRaptop>
Hrm. Google maps thinks it should have taken me 54 minutes (2.6 miles) instead of the 38 I actually spent.
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<oeuf>
UmbralRaptop: meow
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* UmbralRaptop
pets œuf
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