Beyond Quantum Mechanics
We formulated an alternative to quantum mechanics, whose basic starting point is pure information represented by binary sequences, without any reference to space, time and matter. Directly from these binary sequences, we derived highly non-trivial QM results: rules of angular momentum addition, quantum harmonic oscillator, Clebsch-Gordan coefficients and Wigner’s d-matrix formula. In particular, Wigner’s formula can be used to describe experiments with two sequential Stern-Gerlach detectors relatively rotated by some angle (which actually represents the first step toward formulating an emergent quantum spacetime). Being inherently discrete, and matching most of the quantum mechanical predictions only in the continuum limit where the length of the sequences is infinite, the formalism can be tested with very precise state-of-the art experiments in quantum optics.