## Gödelian Features Found at Quantum Indeterminacy: Inconsistency, Undecidability and Self Reference

**Authors:** Steve Faulkner

Standard methods of quantum theory are employed, excepting: quantum
theory is initialised by the a priori adoption of the Field Axioms; and the square
root of minus one is not introduced initially as if axiomatic. Its adoption is
postponed until inconsistency in the theory forces its introduction. Entry of this
scalar, logically independent of the Axioms, relieves the inconsistency but introduces
mathematical undecidability and indeterminacy. Nevertheless, indeterminate formulae
derive determinate probability along with Pythagorean addition. Orthogonality is
indicated as the condition around which logical anomalies in quantum physics hinge.

**Comments:** 20 pages

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### Submission history

[v1] 23 Jan 2011

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