09-01-2021, 05:10 AM
I now realized that infinity as a potential is a convenient way of solving the problems with 'completed' infinities like Zeno's paradoxes and the continuum hypothesis problem.
And it also means that time progresses in steps instead of as infinitely smooth (infinitely many points between every point). One tricky thing with my model is that the "frame rate" for reality is actually infinite. Because to have a finite time period larger than zero would require some external clocking mechanism, and therefore can't be a part of reality, or an internal clock delay which again would require some additional time flowing to produce the delay.
But how can the frame rate of reality be infinite if infinity is only a potential? I need to modify my model and say that infinity is zero time interval. And the 'frames' of reality start with only one relation that expands explosively and infinitely fast into 1, 2, 3, 4, 5, ... N, where N is the number of frames up to the present moment.
Notice that even with infinite clock speed N will never reach infinity since there is no largest frame number. And as a hack, hopefully correct, I can set the physical time interval for our universe to the Planck time as a constant and the age of our universe as a finite number of Plack time steps dependent on N.
And it also means that time progresses in steps instead of as infinitely smooth (infinitely many points between every point). One tricky thing with my model is that the "frame rate" for reality is actually infinite. Because to have a finite time period larger than zero would require some external clocking mechanism, and therefore can't be a part of reality, or an internal clock delay which again would require some additional time flowing to produce the delay.
But how can the frame rate of reality be infinite if infinity is only a potential? I need to modify my model and say that infinity is zero time interval. And the 'frames' of reality start with only one relation that expands explosively and infinitely fast into 1, 2, 3, 4, 5, ... N, where N is the number of frames up to the present moment.
Notice that even with infinite clock speed N will never reach infinity since there is no largest frame number. And as a hack, hopefully correct, I can set the physical time interval for our universe to the Planck time as a constant and the age of our universe as a finite number of Plack time steps dependent on N.