In this paper Nottale’s acclaimed scale relativity theory is given a transfinite Occam’s razor leading to exact predictions of the missing dark energy [1,2] of the cosmos. It is found that 95.4915% of the energy in the cosmos according to Einstein’s prediction must be dark energy or not there at all. This percentage is in almost complete agreement with actual measurements.

Abstract:
In this paper one generalizes the Lorentz Contraction Factor for the case when the lengths are moving at an oblique angle with respect to the motion direction. One shows that the angles of the moving relativistic objects are distorted.

Abstract:
For a century, hypothesis of a variable time is laid down by the
Relativity Theory. This hypothesis can explain many Nature observations,
experiments and formulas, for example the Lorentz factor demonstration. Because
of such good explanations, the hypothesis of a variable time has been
validated. Nevertheless, it remains some paradoxes and some predictions which
are difficult to measure, as a reversible time or the time variation itself.
The purpose of this article is to study another hypothesis. If it gives interesting
results, it would mean that this alternative hypothesis can also be validated.
The idea in this paper is to replace the variable time by a variable inertial
mass. To the difference with the Theory of Relativity (where the inertial mass
and the gravitational mass are equal and variable), the gravitational mass is here
supposed to be constant. So, starting from the definition of the kinetic
energy, it is introduced the Lorentz factor. And then it is demonstrated the
value of the Lorentz factor thanks to a variable inertial mass. This variable
inertial mass can also explain experiments, like Bertozzi experiment. If this
alternative demonstration was validated, it could help to open doors, other
physical effects could be explained like the addition of velocities.

It is
proved in this paper that there are at least five situations in the interaction
theories of microparticle physics that the Lorentz transformations have no
invariabilities. 1) In the formula to calculate transition probabilities in
particle physics, the so-called invariability factor of phase space d^{3}p/E is not invariable actually
under the Lorentz transformations. Only in one-dimensional motion with u_{y} = u_{z} = 0, it is invariable. 2) The propagation function of
spinor field in quantum theory of field has no invariability of Lorentz
Transformation actually. What appears in the transformation is the sum of
Lorentz factors a_{μν}a_{λμ}≠δ_{νλ} when ν, λ = 1, 4, rather than a_{μν}a_{λμ}=δ_{νλ}. But in the current

Abstract:
Newton’s theory of gravitation has been outdated by relativity theory explaining specific phenomena like perihelion precession of Mercury, light deflection and very recently the detection of gravitational waves. But the disappearance of the obvious gravitational force and the variation of time are arguable concepts difficult to directly prove. Present methodology is based on hypotheses as expressed in a previous article: a universal time and an inertial mass variable according to the Lorentz factor (which could not be envisioned at Newton’s age). Because this methodology is mainly stood on Newtonian mechanics, it will be called neo-Newtonian mechanics. This theory is in coherence with the time of the Quantum Mechanics. In Newtonian mechanics, all forces, including gravitational force, are deducted from the linear momentum. Introducing the variable inertial mass, the result of the demonstration is an updated expression of the net force at high velocity: F = γ^{3}m_{g}a. If such a factor in γ^{3} can look a bit strange at first sight for a force, let us remind that the lost energy in a synchrotron is already measured in γ^{4}. Next article will be on the perihelion precession of Mercury within neo-Newtonian mechanics.

Abstract:
For many years, a Lorentz factor of L = 1/3 has been used to describe the local electric field in thin amorphous dielectrics. However, the exact meaning of thin has been unclear. The local electric field E_{loc} modeling presented in this work indicates that L = 1/3 is indeed valid for very thin solid dielectrics (t_{diel} ≤ 20 monolayers) but significant deviations from L = 1/3 start to occur for thicker dielectrics. For example, L ≈ 2/3 for dielectric thicknesses of t_{diel} = 50 monolayers and increases to L ≈ 1 for dielectric thicknesses t_{diel} > 200 monolayers. The increase in L with t_{diel} means that the local electric fields are significantly higher in thicker dielectrics and explains why the breakdown strength E_{bd} of solid polar dielectrics generally reduces with dielectric thickness t_{diel}. For example, E_{bd} for SiO_{2} reduces from approximately E_{bd} ≈ 25 MV/cm at t_{diel} = 2 nm to E_{bd} ≈ 10 MV/cm at t_{diel} = 50 nm. However, while E_{bd} for SiO_{2} reduces with t_{diel}, all SiO_{2} thicknesses are found to breakdown at approximately the same local electric field (E_{loc})_{bd} ≈ 40 MV/cm. This corresponds to a coordination bond strength of 2.7 eV for the silicon-ion to transition from four-fold to three-fold coordination in the tetrahedral structure.

Abstract:
Research into the read structure of space at ways leads to the conclusion on the existence of a privileged (absolute) system of reference, with all the equations remaining invariant about Lorentz’s transformations. The expansion of these transformations makes it possible to obtain easily the Schwarzshild matrix and, also, all the results of Einstein’s theory of gravity. The untangling of the physical meaning of velocity as a measure of relative deformation of elementary space cells eliminates, at last, all the paradoxes of Lorentz’s transformations and allows visual observation of the mechanism of gravity and Coulomb interaction in imaginary experiments.

Abstract:
In this paper we have given a direct deduction of the auxiliary Lorentz transforms from the consideration of Maxwell. In the Maxwell’s theory, if c is considered to be the speed of light in ether space, his equations should be affected on the surface of the moving earth. But curiously, all electromagnetic phenomena as measured on the surface of the moving earth are independent of the movement of this planet. To dissolve this problem, Einstein (1905) assumes that Maxwell’s equations are invariant to all measurers in steady motion which acts as the foundation of Special Relativity. This assumption of Einstein is possible when all four auxiliary Lorentz transforms are real. There is not a single proof that could properly justify Einstein’s assumption. On the contrary it is now known that classical electrodynamics could easily explain all relativistic phenomena rationally.

Abstract:
The quasi-steady electromagnetophoretic motion of a spherical colloidal particle positioned at the center of a spherical cavity filled with a conducting fluid is analyzed at low Reynolds number. Under uniformly applied electric and magnetic fields, the electric current and magnetic flux density distributions are solved for the particle and fluid phases of arbitrary electric conductivities and magnetic permeabilities. Applying a generalized reciprocal theorem to the Stokes equations modified with the resulted Lorentz force density and considering the contribution of the magnetic Maxwell stress to the force exerted on the particle, which turns out to be important, we obtain a closed-form formula for the migration velocity of the particle valid for an arbitrary value of the particle-to-cavity radius ratio. The particle velocity in general decreases monotonically with an increase in this radius ratio, with an exception for the case of a particle with high electric conductivity and low magnetic permeability relative to the suspending fluid. The asymptotic behaviors of the boundary effect on the electromagnetophoretic force and mobility of the confined particle at small and large radius ratios are discussed.

Abstract:
This work consists of two parts. The first part: The Lorentz transformation has two derivations. One of the derivations can be found in the references at the end of the work in the “Appendix I” of the book marked by number one. The equations for this derivation [1]: The other derivation of the Lorentz transformation is the traditional hyperbolic equations: ;？;？ For
these equations we found new equations: ,？.
The second part: In the second part is the ？equation by which we derive Minkowski’s equation. It will be proved that Minkowski’s equation is the integral part of the Lorentz transformation.