Quantum Mechanics reconstruction from invariance of the laws of nature   under tensor composition
  Quantum and classical mechanics are derived using four natural physical principles: (1) the laws of nature are invariant under time evolution, (2) the laws of nature are invariant under tensor composition, (3) the laws of nature are relational, and (4) positivity (the ability to define a physical state). Quantum mechanics is singled out by a fifth experimentally justified postulate: nature violates Bell's inequalities. 
Florin Moldoveanu
quant-ph math-ph math.MP