scholarly journals Relativistic mass due to a dilatant vacuum leads to a quantum reformulation of the relativistic kinetic energy

2020 ◽  
Vol 98 (2) ◽  
pp. 142-147
Author(s):  
Marco Fedi
Keyword(s):  
Kinetic Energy ◽  
Higgs Field ◽  
Lorentz Factor ◽  
Viscous Force ◽  
Dark Sector ◽  
Potential Term ◽  
Relativistic Mass ◽  
Planetary Orbits ◽  
Quantum Mechanism ◽  
Relativistic Kinetic Energy

Relativistic mass change with speed is considered here as the effect of a viscous, dilatant vacuum, whose apparent viscosity is related to the Lorentz factor. Transient solid-like vacuum due to shear stress is presented as the reason why vacuum prevents the speed of massive objects from being indefinitely increased. Such a vacuum – that in a previous study allowed to exactly calculate the Pioneer anomaly, Mercury’s perihelion precession, and was shown to be compatible with stable planetary orbits – leads here to a quantum formula for the relativistic kinetic energy. A formula which distinguishes between the case of accelerated charges in a vacuum, for which a Stokes–Einstein radius comes into play, and the case of accelerated macroscopic bodies, for which the quantum potential term vanishes. In this way, incidentally, one obtains again correct results for the Pioneer 10, confirming the role of vacuum’s viscous force. This description of a quantum mechanism underlying the relativistic kinetic energy may be also helpful in constructing a theory of quantum relativity and may even tell us more about the interactions of matter with the Higgs field and the dark sector: two issues which can be themselves linked to a dilatant vacuum.

scholarly journals A DARK SECTOR EXTENSION OF THE ALMOST-COMMUTATIVE STANDARD MODEL

2014 ◽  
Vol 29 (01) ◽  
pp. 1450005 ◽  
Author(s):  
CHRISTOPH A. STEPHAN
Keyword(s):  
Scalar Field ◽  
Standard Model ◽  
Present Model ◽  
Higgs Field ◽  
Dark Sector ◽  
Spectral Action ◽  
Scalar Particles ◽  
A Value ◽  
The Standard Model ◽  
Model C

We consider an extension of the Standard Model within the framework of Noncommutative Geometry. The model is based on an older model [C. A. Stephan, Phys. Rev. D79, 065013 (2009)] which extends the Standard Model by new fermions, a new U(1)-gauge group and, crucially, a new scalar field which couples to the Higgs field. This new scalar field allows to lower the mass of the Higgs mass from ~170 GeV, as predicted by the Spectral Action for the Standard Model, to a value of 120–130 GeV. The shortcoming of the previous model lay in its inability to meet all the constraints on the gauge couplings implied by the Spectral Action. These shortcomings are cured in the present model which also features a "dark sector" containing fermions and scalar particles.

X.—On the Quantum Mechanism in the Atom

1923 ◽  
Vol 42 ◽  
pp. 129-142 ◽  
Author(s):  
E. T. Whittaker
Keyword(s):  
Kinetic Energy ◽  
Emit Radiation ◽  
Quantum Mechanism ◽  
Image Position

It is now well established experimentally that when an atom is caused to emit radiation of frequency v by collision with an electron, the amount U of the kinetic energy of the electron which is absorbed by the atom is given by the equationwhere h denotes Planck's quantum of Action : an electron whose kinetic energy before the encounter is less than hv is incapable of stimulating the atom to emit the radiation, and is merely repelled from the atom without any loss of energy.

scholarly journals Long-lived dark Higgs and inelastic dark matter at Belle II

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Michael Duerr ◽  
Torben Ferber ◽  
Camilo Garcia-Cely ◽  
Christopher Hearty ◽  
Kai Schmidt-Hoberg
Keyword(s):  
Dark Matter ◽  
Higgs Field ◽  
Mass Splitting ◽  
Dark Sector ◽  
Missing Momentum ◽  
Belle Ii ◽  
Displaced Vertex ◽  
Inelastic Dark Matter ◽  
Near Future ◽  
Matter Detection

Abstract Inelastic dark matter is an interesting scenario for light thermal dark matter which is fully consistent with all cosmological probes as well as direct and indirect dark matter detection. The required mass splitting between dark matter χ1 and its heavier twin χ2 is naturally induced by a dark Higgs field which also provides a simple mechanism to give mass to the dark photon A′ present in the setup. The corresponding dark Higgs boson h′ is naturally the lightest dark sector state and therefore decays into Standard Model particles via Higgs mixing. In this work we study signatures with displaced vertices and missing momentum at Belle II, arising from dark Higgs particles produced in association with dark matter. We find that Belle II can be very sensitive to this scenario, in particular if a displaced vertex trigger is available in the near future.

RELATIVISTIC CORRECTIONS OF THE α2-ORDER FOR THE TOTAL ENERGY AND THE MINIMUM PRESSURE IN THE THOMAS–FERMI THEORY

2002 ◽  
Vol 16 (23n24) ◽  
pp. 901-906 ◽  
Author(s):  
V. F. TARASOV
Keyword(s):  
Kinetic Energy ◽  
Total Energy ◽  
Electron Gas ◽  
Degenerate Electron ◽  
Fermi Theory ◽  
Minimum Pressure ◽  
Thomas Fermi ◽  
Relativistic Corrections ◽  
Relativistic Kinetic Energy ◽  
Degenerate Electron Gas

The total relativistic kinetic energy of the Thomas–Fermi atom is Ekr = Ek + Er, where Ek = κk ∫ ρ5/3dv and Er = -κr ∫ ρ7/3dv + o(α2), [Formula: see text]. The minimum pressure of a relativistic degenerate electron gas is [Formula: see text]. In just the same way, the cases x = pμ / mc = 1 and x > 1 are explicitly considered.

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