Is it really based on an assumption that there’s no quantized layer, even down very deep? I’m not sure I have a belief either way, but I don’t know of any macro-scale implication that requires true continuously-divisible units.
You can’t have e.g. Lorenz Invariance on a quantized spacetime. Of course, you can always argue that “the quantization is really small giving us approximate Lorenz Invariance”, but this would be a claim not only without evidence, but actually against all of the evidence we have.
Similarly, the Schrodinger Wave Equation is defined mathematically as an operator evolving in continuous spacetime. Obviously you can approximate it using a digital world (as we do on our computers), but the real world doesn’t show any evidence of using such an approximation.
Is it really based on an assumption that there’s no quantized layer, even down very deep? I’m not sure I have a belief either way, but I don’t know of any macro-scale implication that requires true continuously-divisible units.
You can’t have e.g. Lorenz Invariance on a quantized spacetime. Of course, you can always argue that “the quantization is really small giving us approximate Lorenz Invariance”, but this would be a claim not only without evidence, but actually against all of the evidence we have.
Similarly, the Schrodinger Wave Equation is defined mathematically as an operator evolving in continuous spacetime. Obviously you can approximate it using a digital world (as we do on our computers), but the real world doesn’t show any evidence of using such an approximation.