All mathematics is produced by physical objects (brains, computers). Therefore the laws of physics determine what theorems are possible, and mathematics has no existence independent of our universe.
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That's your assertion, and I don't see what basis you have for making it.
My first tweet is the basis, obviously. (And in any case, it's Penrose that has to justify its existence, not I that have to justify its nonexistence. Just as with Santa Claus and the tooth fairy.)
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Agree, what Penrose is proposing must be falsifiable. Perhaps you could use an alternative example to illustrate the point from another angle: Real numbers with infinite digits cannot be physically relevant because they imply the existence of infinite information.
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As Ahmed Almheiri said: "Real numbers can’t exist, because you can’t hide them inside black holes".https://www.quantamagazine.org/does-time-really-flow-new-clues-come-from-a-century-old-approach-to-math-20200407/ …
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