I suspect that you are falling into the standard fallacy of “changing just one thing”. The universe we know is intricately interconnected, and changing one fundamental thing even a little means a lot of other seemingly unrelated things change as well, resulting in extremely drastic changes across the board.
For an often discussed example, what if the speed of light was larger/smaller/infinite? It turns out that the question is not even meaningful as stated, as the speed of light is exactly 1, dimensionless. What we perceive as the speed of light is a complex interplay between energy eigenstates of various atoms, which in turn depend on masses of quarks, the value of the fine structure constant, weak/strong/gravitational interaction, and probably even the cosmological constant. If you touched just one of those “fundamental” numbers, the resulting universe would be nothing like what we see now.
I am no expert in computability, but I would bet that a workable hypercomputer would break the physical universe as we know it, as well. I don’t know how much it would break the math as we know it, but I suspect that it would be similarly drastic, to the degree where the questions you ask cease to be meaningful.
Half correct. You’re right the universe with Planck constant of zero would fall apart into infinite energy, but the dark energy constant zero version wouldn’t. It would be totally normal, except for it’s end state, that is it would recollapse into an infinite energy singularity rather than expand forever.
I suspect that you are falling into the standard fallacy of “changing just one thing”. The universe we know is intricately interconnected, and changing one fundamental thing even a little means a lot of other seemingly unrelated things change as well, resulting in extremely drastic changes across the board.
For an often discussed example, what if the speed of light was larger/smaller/infinite? It turns out that the question is not even meaningful as stated, as the speed of light is exactly 1, dimensionless. What we perceive as the speed of light is a complex interplay between energy eigenstates of various atoms, which in turn depend on masses of quarks, the value of the fine structure constant, weak/strong/gravitational interaction, and probably even the cosmological constant. If you touched just one of those “fundamental” numbers, the resulting universe would be nothing like what we see now.
I am no expert in computability, but I would bet that a workable hypercomputer would break the physical universe as we know it, as well. I don’t know how much it would break the math as we know it, but I suspect that it would be similarly drastic, to the degree where the questions you ask cease to be meaningful.
Half correct. You’re right the universe with Planck constant of zero would fall apart into infinite energy, but the dark energy constant zero version wouldn’t. It would be totally normal, except for it’s end state, that is it would recollapse into an infinite energy singularity rather than expand forever.