1997/05/27 by Y. Orlov, Orlov, Y.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9705049
6 pages, postscript file also available through http://w4.lns.cornell.edu/public/CLNS
arxiv created 1997/05/27 · arxiv updated 2009/12/01
It is shown that quantum-type coherence, leading to indeterminism and interference of probabilities, may in principle exist in the absence of the Planck constant and a Hamiltonian. Such coherence is a combined effect of a symmetry (not necessary physical) and semantics. The crucial condition is that symmetries should apply to logical statements about observables. A theoretical example of a non-quantum system with quantum-type properties is analysed.