You can think like a classical physicist. Before QM came about, there was a well-developed classical physics. The main point of classical systems was that they could be described in terms of a Hamiltonian which is just a function of positions and momenta of particles

H = K – V

K is the kinetic energy and V is the potential energy of the system. Then Hamilton’s equations are just

d/dt q_i = d/dp_i H

d/dt p_i = – d/dq_i H

These are ordinary differential equations in the phase space of positions and momenta. QM entered the arena saying that these equations are not really governing nature but SCHROEDINGER equation was, which is

i hbar d/dt W = -Delta W + V W

Now I have shown why the universe must be COMPACT which is closed and bounded. In a compact universe, there are mathematical results of Vieri Benci and others that show that the classical Hamiltonian system always has periodic solutions. The Schroedinger equation is a partial differential equation rather than a system of ordinary differential equations. The usual QM interpretation of the solution of the Schroedinger equation is that only the eigenfunctions of the Schroedinger operator are physical states. Now James Ralston’s quasimode result, which is a purely mathematical result, shows that for a compact manifold, Schroedinger operator has approximate eigenfunctions, so-called quasimodes that concentrate on the periodic orbits of the corresponding classical system. All this suggests that it is reasonable to conclude that the Schroedinger eigenfunctions are just a sort of ‘probabilistic’ choice of periodic orbits of the classical system. So it is totally reasonable to suggest that QM is fooled by randomness.

There are physical chemists who had been studying periodic orbits of classical systems and Schroedinger wavefunctions who have corroborated the above analysis (independently of my claims). So what was Schroedinger’s genius? It was in finding this probabilitistic approximatation seeking a ‘wave mechanics’. My claim is that the ‘wave behavior’ is coming also from the compactness of the universe rather than the stochastic interpretation. What is the measurement problem and the Schroedinger’s cat? It is the strangeness of seeking solutions of Schroedinger’s equation only for eigenfunctions. The classical system does not have any measurement problem. Schroedinger’s cat is a red herring. It’s not a feature of nature; it’s a feature of this approximation to a classical system adopted with the quantum mechanics.

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