5 ms·
> (Black holes have absolutely nothing to do with this) Don't they have, in the sense that to keep probing ever more precisely, you need ever more energy, and
by BlueTemplar 4y ago
> (Black holes have absolutely nothing to do with this)
Don't they have, in the sense that to keep probing ever more precisely, you need ever more energy, and at some point too much mass~energy in a too small volume is going to form a black hole and you cannot go further ?
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Argh, I should have known that this discussion would start to involve operators at some point, especially ones with an infinite number of dimensions... XD
Though this seems related mathematically to how the uncertainty principle can be interpreted through Fourier transforms : localized <=> spread out ; quantized <=> continuous ; finite (+ conditions on potential) <=> infinite (+ other conditions on potential) ?
- consilient 4y ago> Don't they have, in the sense that to keep probing ever more precisely, you need ever more energy, and at some point too much mass~energy in a too small volume is going to form a black hole and you cannot go further ? This may or may not be true - we can't probe those length scales yet, and maybe ever, so we don't really know - but it has no bearing on ordinary QM, which is nonrelativistic. > Though this seems related mathematically to how the uncertainty principle can be interpreted through Fourier transforms Not especially. They're both results in functional analysis, but that's about it.