scholarly journals Physical vacuum as a dilatant fluid yields exact solutions to Pioneer anomaly and Mercury’s perihelion precession

2019 ◽  
Vol 97 (4) ◽  
pp. 417-420 ◽  
Author(s):  
Marco Fedi
Keyword(s):  
Shear Thickening ◽  
Lorentz Factor ◽  
Physical Vacuum ◽  
Perihelion Precession ◽  
Viscosity Term ◽  
Planetary Orbits ◽  
Pioneer Anomaly ◽  
Modern Physics ◽  
Dilatant Fluid ◽  
Quantum Relativity

By using the Lorentz factor as a viscosity term in Stokes’ law for objects traveling in a vacuum, Mercury’s perihelion precession and the Pioneer anomaly are directly and exactly solved, demonstrating that physical vacuum is a shear-thickening (dilatant) fluid. The modified Stokes’ equation also correctly indicates that planetary orbits are stable (over trillions of years). This unexpected feature of physical vacuum may help in achieving quantum relativity and implies interesting consequences for various fields of modern physics.

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 Constraints on long range force from perihelion precession of planets in a gauged $$L_e-L_{\mu ,\tau }$$ scenario

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Tanmay Kumar Poddar ◽  
Subhendra Mohanty ◽  
Soumya Jana
Keyword(s):  
Long Range ◽  
Gauge Boson ◽  
Yukawa Potential ◽  
Major Axis ◽  
Mass Range ◽  
The Sun ◽  
Semi Major Axis ◽  
Perihelion Precession ◽  
Gauge Symmetries ◽  
Planetary Orbits

AbstractThe standard model leptons can be gauged in an anomaly free way by three possible gauge symmetries namely $${L_e-L_\mu }$$ L e - L μ , $${L_e-L_\tau }$$ L e - L τ , and $${L_\mu -L_\tau }$$ L μ - L τ . Of these, $${L_e-L_\mu }$$ L e - L μ and $${L_e-L_\tau }$$ L e - L τ forces can mediate between the Sun and the planets and change the perihelion precession of planetary orbits. It is well known that a deviation from the $$1/r^2$$ 1 / r 2 Newtonian force can give rise to a perihelion advancement in the planetary orbit, for instance, as in the well known case of Einstein’s gravity (GR) which was tested from the observation of the perihelion advancement of the Mercury. We consider the long range Yukawa potential which arises between the Sun and the planets if the mass of the gauge boson is $$M_{Z^{\prime }}\le \mathcal {O}(10^{-19})\mathrm {eV}$$ M Z ′ ≤ O ( 10 - 19 ) eV . We derive the formula of perihelion advancement for Yukawa type fifth force due to the mediation of such $$U(1)_{L_e-L_{\mu ,\tau }}$$ U ( 1 ) L e - L μ , τ gauge bosons. The perihelion advancement for Yukawa potential is proportional to the square of the semi major axis of the orbit for small $$M_{Z^{\prime }}$$ M Z ′ , unlike GR where it is largest for the nearest planet. For higher values of $$M_{Z^{\prime }}$$ M Z ′ , an exponential suppression of the perihelion advancement occurs. We take the observational limits for all planets for which the perihelion advancement is measured and we obtain the upper bound on the gauge boson coupling g for all the planets. The Mars gives the stronger bound on g for the mass range $$\le 10^{-19}\mathrm {eV}$$ ≤ 10 - 19 eV and we obtain the exclusion plot. This mass range of gauge boson can be a possible candidate of fuzzy dark matter whose effect can therefore be observed in the precession measurement of the planetary orbits.

scholarly journals Shear Thickening Oscillation in a Dilatant Fluid

2011 ◽  
Vol 80 (3) ◽  
pp. 033801 ◽  
Author(s):  
Hiizu Nakanishi ◽  
Namiko Mitarai
Keyword(s):  
Shear Thickening ◽  
Dilatant Fluid

scholarly journals Tracing to the source of quantization

2020 ◽  
Author(s):  
Chang-Wei Hu
Keyword(s):  
Relativistic Effect ◽  
Path Integrals ◽  
Quantum Mechanical ◽  
Physical Vacuum ◽  
Interpretation Of Quantum Mechanics ◽  
Positive Direction ◽  
Starting Point ◽  
The World ◽  
Modern Physics ◽  
Micro Lens Array

The physical interpretation of quantum mechanics has always been controversial, which stems from the lack of understanding of vacuum. Vacuum is not empty, and modern physics is describing the world through physical vacuum. Macroscopic vacuum is relatively simple, and relativistic effect is the lens effect of macroscopic vacuum. Micro-vacuum is quite complex, it can be compared to the infinite distribution of micro-lens array or grid. The particles travel through such a vacuum, and there are many possible paths for each step forward, which is just like what path integrals describe. Under the action of micro vacuum, particles will deviate from the positive direction of the starting point to the end point anytime and anywhere. The i in quantum mechanical equations is a representation of deviation characteristic.The physical interpretation of quantum mechanics has always been controversial, which stems from the lack of understanding of vacuum. Vacuum is not empty, and modern physics is describing the world through physical vacuum. Macroscopic vacuum is relatively simple, and relativistic effect is the lens effect of macroscopic vacuum. Micro-vacuum is quite complex, it can be compared to the infinite distribution of micro-lens array or grid. The particles travel through such a vacuum, and there are many possible paths for each step forward, which is just like what path integrals describe. Under the action of micro vacuum, particles will deviate from the positive direction of the starting point to the end point anytime and anywhere. The i in quantum mechanical equations is a representation of deviation characteristic.

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