On 12/12/2012 8:00 AM, Jason Resch wrote:
All,
One of the questions in mathematics is where does mathematical truth come from, if it
exists platonically, how does it manifest physically (e.g. as the utterances of
mathematicians).
I had a thought inspired by one of Roger's posts regarding cause and effect extending
outside of spacetime. I thought, there is nothing preventing the goings on in this
universe from having causal implications outside our universe. Consider that an
advanced civilization might choose to simulate our universe and inspect it. Then when
they observe what happens in our universe the observations generate causal effects in
their own universe. The same applies to our universe, we might choose to observe
another universe through simulation, and our discoveries or observations of that other
universe change us. Thus, the various universes that can exist out there are more
interconnected than we might suppose. Our universe is an open book to those universes
possessing sufficient computational power to simulate it. Likewise, how simple
universes like certain small instances of the game of life are open books to us. The
possibilities of gliders in the GoL has led to many discussions about GoL gliders, their
existence in the GoL universe has led to the manifestation of physical changes in our
own universe.
I think the entrance of mathematical truth to our own universe is no different.
Mathematicians have used their minds to simulate objects and structures that exist in
other universes, in a sense they observe them, and then those mathematicians report
their observations and discoveries concerning those objects, just as an advanced
civilization might report discoveries about our universe, or we might report discoveries
about the GoL universe. Thus the structures and objects which exist in other universes
have directly changed the course of the evolution of our own.
Except the simulation of the other universe is in this universe and the existence of that
'other universe' being simulated is just an assumption. So it boils down to assumptions
made in this universe can have consequences in this universe.
Simulating other universes which are anything like ours is impossible anyway because it is
impossible to gather the necessary information to initialize the simulation. There are
events out beyond our past light cone that we cannot know about now, but which will affect
us in the future.
Brent
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