It seems that Lorentz invariance might be the result of the light speed limit of forces/information transfer *within* particles, and observers made from multiple particles. Why did nobody tell me? Is this a thing? Can someone point me to work on this?
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Replying to @Plinz
There is no such thing as in „within particles“. In ART the Lorentz invariance is only valid „locally“ which means at a point and it‘s arbitrary small surrounding. In string theory not even that is valid.
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Replying to @noonscoomo
If you go down the digital physics route, particles that are capable of state change (which is required for making observations) are necessarily compositional.
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Replying to @Plinz
Fine, but does that kind of particle have a attribute like size? And is there an inside? If not, your claim is not valid if yes the Lorentz invariance is only valid inside the particle if the room is flat there. Which means the room has steps then at the boundaries.
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Replying to @noonscoomo
Yes, if you want to construct a glider that preserves momentum without anisotropy, it will have to be distributed over many adjacent locations. (The number of directions a glider can take on a [stochastic] lattice depends on the number of cells it occupies simultaneously.)
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The alternative is that you have to compute the momentum over a large amount of preceding states (that is what Wolfram has sometimes been doing), but it does not strike me as elegant. I like to think of the universe transition function as correlating adjacent states only.
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