Generalized quantum theory of non-paraxial interference

Evgeny B. Alexandrov, М. П. Чайка, Gennadij I. Khvostenko

Laura Bravo, Daniel Peláez, Valentina López +2 more

A new type of indetermination is discussed in the framework of the exact (non-paraxial) and generalized description of interference in ordinary space for light, photons and matter particles. This description is based on the novel phenomenological principle of confinement in geometric states of space. It is shown that space states with vertices within a sphere of diameter no greater than a fixed value must be ground states of space, which can be represented by a single ground state with vertex at any point of this sphere. This geometric uncertainty differs from Heisenberg's uncertainty which was established for matter particles and deals with dynamical quantities. However, it is shown that geometric uncertainty establishes limitations for Heisenberg's uncertainty.

Samuel Huertas, Daniel Peláez, Valentina López +2 more

An exact and exhaustive phenomenology of interference in ordinary space describes it in terms of confinement in geometric states of space. Under high prepared non-locality, such space states exhibit spatial entanglement, a behavior not reported in the standard interference formalism of optics and quantum mechanics. In this paper, the fundamental theoretical features of the spatial entanglement of geometric states of space are discussed and illustrated with numerical simulations of non-paraxial Young interference.

Axel Lubk

Giulia Marcucci, Claudio Conti

Abstract We show that quantum fluids enable experimental analogs of relativistic orbital precession in the presence of non-paraxial effects. The analysis is performed by the hydrodynamic limit of the Schrödinger equation. The non-commutating variables in the phase-space produce a precession and an acceleration of the orbital motion. The precession of the orbit is formally identical to the famous orbital precession of the perihelion of Mercury used by Einstein to validate the corrections of general relativity to Newton’s theory. In our case, the corrections are due to the modified uncertainty principle. The results may enable novel relativistic analogs in the laboratory, also including sub-Planckian phenomenology.

A. Shalom, J. Žák