Alternative Uses for Quantum Systems and Devices

Abstract

Quantum optical systems and devices were analyzed to verify theories both predicting new particles on flat spacetime, and for the verification of Planck-scale physics for cosmological investigation.

An Alternative to Dark Matter and Dark Energy: Scale-Dependent Gravity in Superfluid Vacuum Theory

“…In this case, one defines an effective matter density by virtue of the Poisson equation. Taking the whole potential (20) and assuming spherical symmetry, we obtain…”

“…One can show that at a limit of low momenta of quantum excitations, often called a "phononic" limit by analogy with laboratory quantum liquids, Lorentz symmetry does emerge. This can be easily shown by virtue of the fluid/gravity analogy [16], which was subsequently used to formulate the BEC-spacetime correspondence [7]; it can also be demonstrated by using dispersion relations [11,17], which are generally become deformed in theories with non-exact Lorentz symmetry [18][19][20][21].…”

“…Furthermore, Lorentz symmetry emerges in the "phononic" low-momentum limit of the theory, as discussed in the previous Section. Therefore, a R-observer would perceive the gravity induced by potential (20) as curved four-dimensional spacetime, which is a local perturbation (not necessarily small) of the background flow metric, such as the one derived in Section 5.3 of [7], see Section 7.1 below. In a rotationally invariant case, the line element of this spacetime can be written in the Newtonian gauge; if Φ(r)/c 2 (0) 1, then it can be approximately rewritten in the form…”

“…The potential Φ smi has a distinctive property: unlike other sub-Newtonian potentials in Equation (20), it can switch between repulsive and attractive regimes, depending on whether the distance is larger or smaller than¯ .…”

“…whereby the sum of last four densities can be regarded corresponding to the astronomical-scale "dark matter" and "dark energy", which will be further justified in Sections 6 and 7. Density ( 62) is a somewhat surprising contribution, because it corresponds to the constant term Φ 0 in Equation (20), which is not supposed to affect trajectories; at least, in classical mechanics. Unless its presence can be confirmed by observations, it must be regarded as a gauge term, or as an artifact of approximations underlying Equation (29).…”