arXiv subjects

Yves Pierseaux

Publications and source records attributed to Yves Pierseaux.

7 recordsLinked to original sources

arXiv2014

From Unexpected Minkowskian Solution of General Relativity with Cosmological Constant to the Accelerating Universe

An unexpected Minkowskian solution of the equation of General Relativity (Einstein-1915) is trivial because it simply means that both members of the equation are equal to zero. However, if alternatively, one considers the complete equation with a non-zero (cosmological constant (Einstein-1917), a Minkowskian solution is no longer trivial because it amounts to impose a constraint on the right hand side of the equation (i.e. a non-null stress-energy tensor). If furthermore one identifies (as usual) this tensor to the one of a perfect fluid, one finds that this fluid has a positive energy density and a negative pressure. We discover finally an expanding Universal Minkowskian fluid (Flat Universe) that has not only dynamical properties (acceleration) but also optical properties that are connected with Doppler Redshift. Einstein special relativity in 1905 consisted in dissolving a ghost: the old electromagnetic ether; our relativistic approach involves also the dissolution of a ghost: the Dark Dnergy. This new cosmological ether becomes a pure relativistic effect of Minkowskian solution with CC.

physics.gen-ph↗

arXiv2009

Tolman's Luminosity-Distance, Poincare's Light-Distance and Cayley-Klein's Hyperbolic Distance

We deduce Tolman's formula of luminosity-distance in Cosmology from Poincare's definition of light-distance with Lorentz Transformation (LT).In Minkowskian metric, if distance is proper time (as it is often argued) then light-distance must be also the shortest distance, like proper duration (unlike Einstein's longest length within rest system). By introducing Poincare's proper light-distance in Einstein's basic synchronization we deduce a dilated distance between observer and receding mirror (with relativistic Doppler factor). Such a distance corresponds not to an Euclidean distance (Einstein's rigid rod) but to an Hyperbolic distance (Cayley-Klein) with a Lobatchevskian Horizon. From a basic proportionality hyperbolic distance-velocity, we deduce the law of Hubble. By following Penrose's Lobatchevskian representation of LT, we transform Special Relativity (SR) into an Hyperbolic Cosmological Relativity (HCR). by using only the LT but the whole LT. In Hyperbolic Rotation motion (basic active LT or Einstein's boost), Hubble constant (hyperbolic angular velocity) is coupled with a minimal Milgrom's basic proper acceleration (hyperbolic centrifugal acceleration).

physics.gen-ph↗

arXiv2009

Cosmological Constant, Classical "Vacuum" and Special Relativity (From the Lorentz boost to the Milgrom acceleration)

We show that Cosmological Constant (CC) is not optional in GR (General Relativity) because it is required by SR (Special Relativity). This completely unexpected result is obtained by introducing a minimal acceleration (Milgrom), square root of CC, in Einstein boost with Lorentz Transformation (LT). We prove that hyperbolic rotation (LT) is an hyperbolic motion with a centrifugal acceleration. In SR with CC (CSR or CR), the universe is not only in expansion (with the law of Hubble) but even in accelerated expansion (cosmological parameter is minus one). Given that the structure of space-time in Einstein's GR is determined by the presence of matter and CC is associated to the absence of matter, we associate CC not to "quantum" vacuum but to classical "vacuum" of Minkowski's space-time (with a renormalization of Minkowski's metric). Finally we show that 1917 Einstein's CC corresponds to 1906 Poincare's non-electromagnetic negative pressure.

physics.gen-ph↗

arXiv2008

Relativistic Invariance of the Phase of a Spherical Wave, relativistic Doppler Formula and Poincare's expansion of space

Recently Einstein's invariance of the phase of a plane wave (1905) has been described as "questionable" (Huang). Another definition of this phase, taking into account a "relativistically induced optical anisotropy" for isotropic medium in moving, has been proposed (Gjurkinovski). We suggest (logically) to determine this "relativistically induced effect" if the isotropic medium is the vacuum. We prove that the basic Lorentz invariant, in vacuum, is not the phase of a plane wave but the phase of a spherical wave. According to Poincare an isotropic spherical wave is not LTed (Lorentz transformed) into an isotropic spherical wave (Einstein 1905) but LTed into an anisotropic ellipsoidal wave (relativity of simultaneity). Poincare's ellipsoidal wavefront (1906) is an {equiphase} surface. The Lorenz gauge is connected with the invariance of the phase of a spherical wave and the transverse gauge with Einstein's invariant. We deduce from Poincare's invariant a relativistic Doppler formula which is unseparable from Poincare's theory of expansion of space and therefore the measurements of Hubble.

physics.gen-ph↗

arXiv2006

Poincare's relativistic Doppler-Fizeau formula

We deduce from Poincare's ellipsoidal wavefronts a relativistic Doppler-Fizeau formula that is not the same as 1905 Einstein's one. Longitudinally, Einstein's formula and Poincare's formula are the same. The question of an experimental test is connected with the possibility or the impossibility of directly measuring the relativistic transverse effect. Hasselkamp's 1978 experiment becomes a crucial experiment because Poincare's relativistic kinematics predicts an expansion of sapce directly connected with the Doppler-Fizeau effect for the remote objects.

physics.class-ph↗

arXiv2006

Les structures fines de l'électromagnétisme classique et de la relativité restreinte (The fine structures of Classical Electromagnetism and Special Relativity)

One of us (Y.P.) has shown the existence of a longitudinal component in the propagation of light waves on the basis of the kinematics underlying Poincaré's ellipse. We show how this statement agrees with the electromagnetic theory. We recall that the second of us supports the existence of a "fine structure" of Electromagnetism that is, the co-existence of two theories, one based on the fields (Heaviside-Hertz) and the other on the potentials (Riemann-Lorenz). The existence of two different kinematics (the "fine structure" of Special Relativity : Einstein or Poincaré) corresponds to these two formulations of Classical Electromagnetism. With this goal in mind, we prove the relativistic covariance of the Helmholtz decomposition of the vector potential. This one translates into a generalized compensation for all directions of propagation, on the basis of the tangent to Poincaré's ellipse, between the scalar potential and the longitudinal component of the vector potential. The adoption by Poincaré of the Lorenz gauge condition (with longitudinal and temporal components) is in contrast with the Einsteinian photon and the Einsteinian kinematics with only transversal components compatible with the choice of the "completed" Coulomb gauge condition (transverse gauge).

physics.hist-ph↗

arXiv2002

Bohm's interpretation and maximally entangled states

Several no-go theorems showed the incompatibility between the locality assumption and quantum correlations obtained from maximally entangled spin states. We analyze these no-go theorems in the framework of Bohm's interpretation. The mechanism by which non-local correlations appear during the results of measurements performed on distant parts of entangled systems is explicitly put into evidence in terms of Bohmian trajectories. It is shown that a GHZ like contradiction of the type+1=-1 occurs for well-chosen initial positions of the Bohmian trajectories and that it is this essential non-classical feature that makes it possible to violate the locality condition.

quant-ph↗