Essay Abstract
Undecidability provides a logical framework for quantum theory and spacetime (at the Planck scale).
Author Bio
Baruch Garcia holds a B.A. in Spanish and a minor in Hebrew from the University of Texas at Austin. Baruch runs an online archive of John Archibald Wheeler's work at jawarchive.wordpress.com.
Pages 7 and 8 of this essay contain a result about gravity that has been overlooked until now- namely that the undecidability of the homeomorphy problem applies to causal diamonds because they are compact 4-manifolds.
In other words, undecidability is imbedded in the equations of general relativity.
Baruch:
A new era dawns.聽 Old questions become quaint and historical.聽 Is the whole community ready?聽 Or is physical reality too dangerous for our collective understanding at this time?聽
That's a good question, Sherman. Thank you.
The math is incredibly simple. The wave-particle duality of quantum theory has a correspondence with the consistent-complete "duality" of undecidability. This does away with the need for quantum interpretations and gives us a new connection to gravity.