KS uncolorability in 3D occurs only with modulus-2 or phase cancellation in the coordinate generators, producing new graph types in the Heegner-7 ring and golden ratio field.
Kochen-Specker theorem revisited
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
The Kochen-Specker theorem is a basic and fundamental 50 year old non-existence result affecting the foundations of quantum mechanix, strongly implying the lack of any meaningful notion of "quantum realism", and typically leading to discussions of "contextuality" in quantum physics. Original proofs of the Kochen-Specker theorem proceeded via brute force counter-examples; often quite complicated and subtle (albeit mathematically "elementary") counter-examples. Only more recently have somewhat more "geometrical" proofs been developed. We present herein yet another simplified geometrical proof of the Kochen-Specker theorem, one that is valid for any number of dimensions, that minimizes the technical machinery involved, and makes the seriousness of the issues raised manifest.
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The Algebraic Landscape of Kochen-Specker Sets in Dimension Three
KS uncolorability in 3D occurs only with modulus-2 or phase cancellation in the coordinate generators, producing new graph types in the Heegner-7 ring and golden ratio field.