Theoretical Calculations of the Masses of the Elementary Fermions

Our universe is three-dimensional and curved (with a positive curvature) and thus may be embedded in a four-dimensional Euclidean space with coordinates x,y,z,t where the fourth dimension time t is treated as a regular dimension. One can set in this spacetime a four-dimensional underlying array of small hypercubes of one Planck length edge. With this array all elementary particles can be classified following that they are two-, three-, or four-dimensional. The elementary wavefunctions of this underlying array are equal to 2expixi for xi=x,y,z or to 2expit for t. Hence, the masses of the fermions of the first family are equal to 2n (in eV/c2) where n is an integer. The other families of fermions are excited states of the fermions of the first family and thus have masses equal to 2n.p2/2 where n and p are two integers. Theoretical and experimental masses fit within 10%

The Masses of the First Family of Fermions and of the Higgs Boson are Equal to Integer Powers of 2

Abstract We noticed that the first family of fermions and the Higgs boson have masses which are equal to integer powers of 2 in eV /c 2 units (i.e. in the Planck length units). We made the hypothesis that, if spacetime is composed of small hypercubes of one Planck length edge, it exists elementary wavefunctions which are equal to √ 2 exp(ikx i ) if it corresponds to a space dimension or equal to √ 2 exp(iωt) if it corresponds to a time dimension. By using the Dirac propagation equation and combinatorics we showed that the electron has a mass of 2 19 eV /c 2 , the quark has a mass of 2 21 eV /c 2 and the electron neutrino has a mass of 2eV /c 2 . Finally, the Higgs boson is showed to have a mass of 2 37 eV /c

Molecular Dynamics approach of sol–gel transition: Comparison with experiments

A new aggregation model by a Molecular Dynamics approach at constant temperature was compared with experimental results on a zirconia precursor gelling process. The evolution of the distribution of the experimental scattered intensities (small angle X-ray scattering curves), during gelling, was compared with the results of our Molecular Dynamics method, via the computation of structure factors of the numerical structure for different times:a very good agreement was found. Our numerical model allows one to understand the evolution as a function of time of the size and quantity of matter corresponding to the upper limit of the fractal domain

The FLRW cosmological model revisited: relation of the local time with th e local curvature and consequences on the Heisenberg uncertainty principle

version to be published in Advanced Studies in Theoretical PhysicsInternational audienceBy using the FLRW cosmological model, we calculated the relation between the local time and the local curvature in the case of a vacuum dominated universe. We showed that except for special values of the different constants which enter this equation, the time cannot be equal to zero. By using this assumption, we showed also that the demonstration of the uncertainty principle of Heisenberg is only an approximatio

The role of the extra cellular matrix on memory

forthcoming article published online at www.m-hikari.comInternational audienceWe expose first a biological model of memory based on one hand of the mechanical oscillations of axons during action potential and on the other hand on the changes in the extra cellular matrix composition when a mechanical strain is applied on it. Due to these changes, the stiffness of the extra cellular matrix along the most excited neurons will increase close to these neurons due to the growth of astrocytes around them and to the elastoplastic behavior of collagen. This will create preferential paths linked to a memory effect. In a second part, we expose a physical model based on random walk of the action potential on the array composed of dendrites and axons. This last model shows that repetition of the same event leads to long time memory of this event and that paradoxical sleep leads to the linking of different events put into memory

Hierarchical porous silica monoliths: A novel class of microreactors for process intensification in catalysis and adsorption

International audienc

Numerical study of the antiferromagnetic Ising model in hyperdimensions

International audienceWe built a model where all spins are in interaction with each other via an antiferromagnetic Ising Hamiltonian. The geometry of such a model is a tetrahedron placed on a hypersphere in spaces of dimensions enclosed between 1 and 9. Due to confinement and to the fact that all spins interact which each other, our spin system exhibit frustration. The temperatures of the observed antiferro-paramagnetic transformations are equal for all space dimensions to one of two given values depending on the parity of the space dimension. Moreover, the order parameter , i.e. the magnetization of the system, has been also studied

And if there was no need of dark energy to explain the acceleration of the expansion of the universe?

Open Access JournalInternational audienceIn order to explain the fact that the pressure in the Friedmann equations is negative, only the hypothetical presence of dark energy is used in present theories. But, the dimensions of the pressure $p$ are $f/r^2$ and thus $p$ can not account for the acceleration of the expansion of the universe. Indeed, the hypersurface of our universe is threedimensional and curved, so a force has an effect on the universe if it is applied on the universe's boundaries. As these boundaries (hypersurface) correspond to the threedimensional universe itself at time $t$, there must exist a positive force density $f/r^3$. The relation between the pressure $p$ (calculated within the Friedmann model) and the force density is a simple derivation with respect to $r$ the space variable. And the derivation of a negative pressure leads to a positive force density

Is the Rate of Expansion of Our Universe Really Accelerating?

open access journalInternational audienceI show here that due to the fact that time has a logarithmic increase as a function of the radius of curvature of our threedimensional universe, the rate of expansion of the universe is accelerating. The instantaneous pressure within this universe is negative (as predicted by the litera- ture) because black holes lead to a leak of matter and light from our universe. Though, the total energy of the universe is increasing. The transition from a still fourdimensional universe with no physical laws to our threedimensional curved universe is due to Heisenberg's uncertainty principle