How arithmetic generates the logic of quantum experiments

March 28, 2011

Indeterminacy in arithmetic, well-known to logicians but missing from quantum theory

Filed under: Uncategorized — steviefaulkner @ 3:48 pm

Abstract. This article is one of a series explaining the nature of mathematical undecidability discovered within quantum theory. Crucially, a formula’s undecidability certifies its indeterminacy and vice versa. This paper describes the algebraic environment in which the undecidability and indeterminacy originate; provides proof of their existence; and demonstrates the role these play in a three-valued logic which is free to permeate mathematical physics via this algebra.
The radical idea applied in this research is taken from very well-known results in mathematical logic. All scalars engage in the arithmetic of scalars by way of a single algebra. But in terms of validity, these scalars partition into sets which are logically distinct: those with valid existence with respect to this algebra, and those with indeterminate existence. Failure of mathematical physics to notice this distinction is the reason why quantum theory is logically at odds with quantum experiments.


Leave a Comment »

No comments yet.

RSS feed for comments on this post. TrackBack URI

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Blog at

%d bloggers like this: