Generalized Path Integral Technique: Nanoparticles Incident on a Slit Grating, Matter Wave Interference

Hydrodynamics of the physical vacuum: Dark matter is an illusion

“…Here we draw on the hypothesis put forward by Edward Nelson about aether populated by the Brownian sub-particles [16]. However, in contrast to the quasi-classical collisions of the Brownian sub-particles in our case the diffusion is achieved due to the uncertaintly principle -the collisions induce uncertainty of momenta of the scattered sub-particles [24].…”

Hydrodynamics of the Physical Vacuum: I. Scalar Quantum Sector

“…1. These calculations show interference of the coherent flow of fullerene molecules [41] from the grating that contains N = 9 slits. The fullerene molecules have the de Broglie wavelength λ = 5 pm what corresponds to the current velocity of the molecules about 100 m/s [25].…”

“…As said, the calculations of (30) and (32) if executed simultaneously are incompatible with each other because of the uncertainty principle. For that reason we need also to evaluate variance of the above computations [41]. Such an evaluation is…”

“…So, this expression has a dimensionality of energy. After a number of computations we get the following result [41]:…”

“…A very small quantity of molecules or atoms in an experimental device (dirt particles) can represent "sources of unpredictable measurements". What leads to deterioration of the visibility of the interference fringes [25,41].…”