Diary 2024-11-20

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By Max Woerner Chase

Okay, I'm working on outlining for that writing. This is going to be some kind of book, or zine, I don't really have an idea of the length. I guess it's a "manifesto"? We'll see.

Anyway, aside from that, I realized today that thinking about energy-momentum vectors in a principled fashion gives relatively straightforward descriptions of how tachyons would work, so naturally I tried to figure out what it would imply. Various issues arose, such as "it looks like a particle following a spacelike trajectory should be able to bounce off of events in time", and "hey, wait, multiple particles individually following spacelike trajectories can have a combined energy-momentum vector that points in a timelike direction, what the heck?" and "I don't know what to call the minimum magnitude of a tachyon's momentum, which it attains at infinite speed, (which also gives it zero total energy)".

Basically, it turns out that there are problems way more interesting than blindly plugging in for the Lorentz and going "oops, looks like the mass is imaginary". It seems to me that different trajectory types have different associated quantities: rest mass, energy, and, um, the fundamental quantity for tachyons seems to be something that Wikipedia doesn't list a derived unit for. Is there a single-part name for the "Watt-meter"?

Anyway, I was messing around and I'm up too late.

Good night.