Hydrodynamics of the dark superfluid: II. photon-phonon analogy
Résumé
In " Hydrodynamics of the dark superfluid: I. genesis of fundamental particles " we have presented dark energy as an ubiquitous superfluid which fills the universe. Here we analyze light propagation through this " dark superfluid " (which also dark matter would be a hydrodynamic manifestation of) by considering a photon-phonon analogy, where photon is a quasi-particle which acoustically propagates through this dark superfluid as a transverse wave. The discussion is structured in four parts: (a) shared features and behavior photon-phonon according to current knowledge; (b) phonons in fluids and their role in expressing energy, along with the transient solid-like (quasi-lattice) structure arising in fluids and superfluids during relaxation time; (c) Gremaud's analogy of Maxwell's equations in a lattice applied to the quasi-lattice environment of a superfluid; (d) Lorentz factor as the rheogram of dark energy and a possible basis for a quantum interpretation of special relativity. Considering light as the acoustic excitation of the dark superfluid, in a subsequent investigation we have been able to obtain the right redshift curve, also for distant supernovae, in function of the varying density of the cosmic superfluid, freeing modern cosmology from known critical issues: an important clue as regards the applicability of the present hypothesis.
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