Simulating general relativity and non-commutative geometry by non-paraxial quantum fluids
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 accelerati...
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| Veröffentlicht in: | New journal of physics 2019-12, Vol.21 (12), p.123038 |
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| creator | Marcucci, Giulia Conti, Claudio |
| description | 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. |
| doi_str_mv | 10.1088/1367-2630/ab5da8 |
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| subjects | Acceleration analog gravity Analogs Mercury (planet) nonlinear optics Perihelions Phenomenology Physics Precession quantum simulation Relativism Relativistic effects Relativity Schrodinger equation spatial solitons Theory of relativity |
| title | Simulating general relativity and non-commutative geometry by non-paraxial quantum fluids |
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