GOD DOESN’T PLAY DICE!

According to Classical Mechanics (still nowadays able to launch space laboratories at the other side of the solar system with the highest precision), any particle beam may be converged into a single point-like focus, by the refractive role of a suitable lens system (figure A). Quantum Mechanics asserts, on the contrary, that any particle beam is piloted by a “matter wave”, whose diffractive effect shall generally lead to the formation, due to  the focalizing lens system, of a narrow ( but not pointlike) focal region. And so far… so well. On the basis, however, of the well-known Schrödinger equation, which it isn’t able to exactly solve, the official Quantum Theory attributes to its approximate solutions a merely statistical and probabilistic interpretation. Already in principle, no particle trajectory may exist – not even in God’s  mind! Einstein himself rejected this opinion, maintaining that “God doesn’t play dice with the Universe”  (handwritten letter sent in 1945 to Paul Epstein, a Caltech theoretical physicist). And we have found these “impossible” trajectories solving Schrödinger’s equation: here they are, in figure B!

REFERENCES

Orefice, A., Giovanelli, R., Ditto, D. Primary Assumptions and Guidance Laws in Wave Mechanics, Journal of Applied Mathematics and Physics, 6, 2621 (2018). DOI: 10.4236/jamp.2018.612218

Orefice, A., Giovanelli, R., Ditto, D. The Dynamics of Wave-Particle Duality, Journal of Applied Mathematics and Physics, 6, 1840 (2018). DOI: 10.4236/jamp.2018.69157