[FOM] Godel's First Incompleteness Theorem as it possibly relatesto Physics

Vaughan Pratt pratt at cs.stanford.edu
Thu Oct 16 13:09:12 EDT 2008

Andrej Bauer wrote:
> For example Pour-El and Richards have an example of a wave equation
> whose initial condition (time t=0) is computable but the solution is not
> computable at time t=1.

In 1983 John Baez showed that this negative result necessarily depends 
on the physics being classical, by showing that both the n-particle 
Coulombic Hamiltonian itself and the time evolution of n-particle 
systems governed by it are recursive, see Baez, J.C., Recursivity in 
quantum mechanics, Trans. Am. Math. Soc., 280:1, 339-350 (Nov. 1983), 
online at http://math.ucr.edu/home/baez/recursivity.pdf or (higher 
resolution) at http://www.jstor.org/stable/1999617.pdf

Vaughan Pratt

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