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I pondered a little bit more to uncover why I felt this way about GR and QFT. I am sure there are no realized infinities, and I don't think nature can have an
by mikhailfranco 2y ago
I pondered a little bit more to uncover why I felt this way about GR and QFT.
I am sure there are no realized infinities, and I don't think nature can have an if statement.
It can have hysteresis curves, with some extreme exponent, but it cannot have a conditional. A square wave is an infinite Fourier Series, but infinite does not exist, so it is truncated, and there are no zero-step jumps. No Dirac Delta Function. Quantum jumps are layered over tunneling and decaying exponentials, but they do not need step changes or conditional laws.
So GR is pure in this sense (except singularities, but all bets are off, and I don't think they exist - no infinities, no infinitesimals that actually become zero). Singularities are not a prediction of GR (despite Penrose, whom I admire enormously), they are just a realm without solutions, a Terra Incognita, where we know we need a better theory.
One final thought... the Heisenberg Uncertainty Principle (HUP) is just Fourier Analysis. Every physicist and electrical engineer, just says, "yes ok", and moves on, even though there are various mystical properties ascribed in pop-sci woo-woo explanations. The one finding of the Wolfram Physics project that made me sit up and pay attention, is that they derived HUP as composed of two different structures of ambiguity (simplifying enormously: across and ancestrally within the branchial space). That sounds ~right to me, and indicates some profound insight they are generating from discrete combinatorial approaches.