Comment by bjackman
11 years ago
I suspect a physicist would say you're idea rests on an a view of the universe where everything is deterministic and knowable and encodable.
You also have to remember that some quantities are going to be continuous, while TMs are discrete. Even an "infinite" TM can't truly encode real numbers (I think) because its infinity is of the countable variety, while Real numbers are uncountably infinite.
True, I am making an assumption that it is deterministic.
If we presume that the Big Bang model of the Universe is true, then in the earliest moment of time, can the state of the Universe be measured? If it can be measured, how does it transition from a measurable state to an immeasurable one?
I'll have to give some more thought to what you've said, but I wanted to give you a basis for why I believe it could be deterministic. Clearly I'm making some assumptions, and based on my postulate, this is a state that we could never measure ourselves. I don't know if our inability to make these measurements removes the possibility of determinism.