FRONTIERS OF FUNDAMENTAL PHYSICS: Eighth International Symposium FFP8

Lorentz‐Poincaré type aspects of the matter Lagrangian in General Relativity Theory
View Description Hide DescriptionIt is well known that the solution to the Einstein Field Equation, g _{μν}, can be either interpreted as the metric tensor itself or the mere gravitational field, their geochronometric correspondence being assured by the Equivalence Principle (e.g. Brown 2005). Within the field interpretation, which allows emphasis on physical effects of gravitation on microphysical constituents of matter, we expose gravitational Lorentz‐Poincaré type properties of the relativistic gravitational matter Lagrangian. The Weierstrass parametrization (Johns 2005) of the matter Lagrangian L_{M} in the explicit Lorentz‐Poincaré type gravitation model is shown to render it equal to the standard matter Lagrangian —which can be reduced to the proper time invariant (g _{μν} dx ^{μ} / dλdx ^{ν} / dλ)^{1/2} for the geodesic motion (Stephani 2004)— in GRT. As such the GRT matter Lagrangian can be interpreted to result —following a Legendre transformation— from the energy of the matter fields obtained from Gravitationally Modified Lorentz Transformations (Broekaert 2005).
The resultant correspondence between matter Lagrangians exposes explicitly the Lorentz‐Poincaré type features such as (coordinate) spatially‐variable speed of light, c(r) = c′Φ^{2}, partial Machian mass induction and gravitational affecting of space and time observations in local coordinates in GRT. These features are only apparent relative to the coordinative manifold, while locally and in physical coordinates the effects all vanish in concordance with the local Minkowski metric.

Is it realistic to assume the same cosmic equation of state prior to and after atom formation?
View Description Hide DescriptionPrevious work (Acta Cosmologica XXIV‐3, Krakov 1998) did show the close coincidence of two times: (1) the matter/radiation density equality time and (2) the atom formation time. This coincidence was obtained substituting observed data into the standard Friedmann‐Lemaître solutions (with Λ=0). This work anticipated precisely the present “age” of the universe [t_{0}∼(13.7±0.2)×10^{9} years] and the present value of the local Hubble parameter [H_{0}∼(65±2) km s/Mcp] given in February 2003 by NASA’s WMAP satellite. For the cosmic epoque considered in this previous work, the cosmic equation of state was RT ∼ constant, consistent with a transparent universe made of atoms. Present work shows that a better coincidence between calculated and observed cosmic time (t_{ns}) and density (ρ_{ns}) is obtained for primordial nucleosynthesis with a “plasma” equation of state RT^{4/3} ∼ constant. This is perfectly consistent with a change in equation of state from atom formation time to present resulting in a t_{0} and a ρ_{0} in agreement with WMAP observations.

Status of CMB Radiation
View Description Hide DescriptionA brief review on the current status of cosmic microwave background researches is presented. First, a description of its discovery and nature is given and, then, its importance in Cosmology is pointed out. COBE and WMAP satellite observations are considered. The main information obtained from these space experiments is analyzed. Perspectives on the field are outlined.

Scale invariance of dark matter clustering
View Description Hide DescriptionThe dark matter distribution is arguably scale invariant in a range of scales, so that it has a fractal geometry, observable in the clustering of galaxies and in cosmic voids . We review evidence of fractal geometry in recent observations, which shows, in particular, that a simple fractal model is not sufficient. Therefore, we propose a multifractal model of the dark matter distribution realized on fractal halo populations, in which voids appear naturally.

Spiral galaxy rotation curves described using cosmological general relativity
View Description Hide DescriptionSpiral galaxy rotation curves are described using Carmeli’s Cosmological General Relativity. A Tully‐Fisher type relation results and rotation curves are reproduced without the need for non‐baryonic halo dark matter. For accelerations larger than a critical value the Newtonian force law applies, but for accelerations less than the critical value the Carmelian force law applies.

Gravitational waves in Cosmological General Relativity
View Description Hide DescriptionThe 5D Cosmological General Relativity theory indicates that gravitational radiation may not propagate as an unattenuated wave where effects of the Hubble expansion are felt. In such cases the energy does not travel over such large length scales but is evanescent and dissipated into the surrounding space as heat.

Creation of Spiral Galaxies II
View Description Hide DescriptionSome discussions about quasars are presented. A gravito‐radiative term is obtained as a correction term from the variational principle of Einstein General Relativity Theory. A collision between two massive black holes at the center of a quasar generates a gravito‐radiative force. According to our theory, there cannot be any galaxies with an odd number of spiral arms, and that agrees with our observation. The size of the Milky Way galaxy was about 10 times the present size, and the galaxy must be shrinking now.

Are the quasar polarization angles randomly distributed?
View Description Hide DescriptionObservations of the polarization angles of some quasar samples strongly suggest that these angles are not randomly distributed on Gpc scales. Large scale vector perturbations (vortical velocity fields) of the concordance cosmological universe produce rotations of the QSOs polarization directions; here, the amplitude and properties of these rotations are analyzed in the case of an unique vector mode. The resulting rotations depend on both the quasar redshifts and the line of sight and, consequently, they can alter a random initial distribution of QSO polarization angles, The question is: could this alteration explain correlations on Gpc scales? More work is necessary to answer this question starting from the conclusions of this preliminary paper.

Relaxation‐time and electrical‐conductivity anisotropy of layered crystals at the scattering of charge carriers by impurity ions
View Description Hide DescriptionThe scattering of charge carriers by impurity ions in quasi‐two‐dimensional electronic systems with the cosine dispersion law is under investigation. It has been obtained analytical expressions for transverse and longitudinal components of the relaxation time against components of the wave vector. It has been shown that electrical conductivity is heavily anisotropic, the anisotropy magnitude depends upon the relation between the miniband width and Fermi level and is determined by the ratio of the screening radius to the lattice constant in the direction normal to the layer.

Dynamics and Potential Energy Surfaces for small to medium size He_{ n }‐dihalogen clusters
View Description Hide DescriptionThe intermolecular forces between atoms and molecules are of great importance in studies of solids, liquids and clusters. Our current studies serve to bridge the gap between small cluster and large cluster limit.

The vacuum energy: Casimir effect and the cosmological constant
View Description Hide DescriptionThis is a short summary of the talk given at the meeting, wich comprised considerations on the zero point energy and some aspects of the Casimir effect. In particular, recent developments on the construction by the author and J. Haro of the first consistent proof of the dynamical Casimir effect, on the possible contribution of vacuum fluctuations to the cosmological constant, and on some new theories about it, discuseed at the meeting, are also reported.

Deterministic Quantum Mechanics Versus Classical Mechanical Indeterminism and Nonlinear Dynamics
View Description Hide DescriptionAt a minimum it seems that deterministic quantum mechanics recently proposed by G. ’t Hooft and classical mechanical indeterminism i.e. nonlinear dynamics and deterministic chaos are homomorphic conceptually. The present work gives an introduction to a transfinite spacetime theory based on the geometry and topology of a hierarchal infinite dimensional Cantor set in which both notions are exchangeable.

Towards the Unity of Classical Physics. With Some Implications for Quantum Physics
View Description Hide DescriptionUsually, classical mechanics (CM) and classical electromagnetism (CEM) are represented in textbooks as well as in monographs and, thus, are taught as would‐be rather unrelated branches. This ‘duality view’ corresponds to the historical development, but discards the axiomatic power of CM and leaves the unity of classical physics incomplete. To overcome this, I will derive the Lorentz force and the Maxwell‐Lorentz equations through purely mechanical reasoning, viz, exploring relationships between force and energy. This way, the first sevedn of Bopp’s postulates can be actually derived. This approach continues Hertz’s program of representing CM such, that other branches can be developed from it, and corresponds to Schrödinger’s (1926) approach to quantum mechanics. The fields introduced develop their own live beyond CM, so that reductionism is avoided.

Super Heavy Nuclei over Critical Fields and their Conections
View Description Hide DescriptionLow energy collisions of very heavy nuclei (^{238}U+^{238}U, ^{232}Th+^{250}Cf and ^{238}U+^{248}Cm) have been studied within the realistic dynamical model based on multi‐dimensional Langevin equations. Large charge and mass transfer was found due to the “inverse quasi‐fission” process leading to formation of survived superheavy long‐lived neutron‐rich nuclei. In many events lifetime of the composite system consisting of two touching nuclei turns out to be rather long; sufficient for spontaneous positron formation from super‐strong electric field, a fundamental QED process.

A Semi‐Classical, Microscopic Model for Nuclear Collective Rotation Plus RPA
View Description Hide DescriptionCollective rotation and vibration of deformed nuclei are described semiclassically but microscopically by first transforming the time‐dependent Schrodinger equation to a rotating frame, while preserving time‐reversal invariance, and then applying a variational method. The rotating‐frame axes are chosen to coincide with the principal axes of the expectation of an arbitrary, symmetric second‐rank tensor operator Γ̂. It is shown that the equations derived for the rotational and vibrational motions decouple completely due to the rotational invariance of the Hamiltonian and diagonality of the expectation of Γ̂ in the rotating frame. The equations describing the vibration reduce to those of the RPA. The equation describing the rotation generalizes that of the conventional cranking model (CM). The predicted rotation moment of inertia is shown to reduce to that of the CM for special types of particle interactions.

What is quantum mechanics?
View Description Hide DescriptionWe discuss the arguments for suspecting that there exists a classical, i.e. deterministic theory underlying quantum mechanics. A difficulty is that an explanation must be found of the fact that the Hamiltonian, which is defined to be the operator that generates evolution in time, is bounded from below. The mechanism that can produce exactly such a constraint is identified in this paper. It is the fact that not all classical data are registered in the quantum description. Large sets of values of these data are assumed to be indistinguishable, forming equivalence classes. It is argued that this should be attributed to information loss, such as what one might suspect to happen during the formation and annihilation of virtual black holes.
The nature of the equivalence classes is further elucidated, as it follows from the positivity of the Hamiltonian. Our world is assumed to consist of a very large number of subsystems that may be regarded as approximately independent, or weakly interacting with one another. As long as two (or more) sectors of our world are treated as being independent, they all must be demanded to be restricted to positive energy states only. What follows from these considerations is a unique definition of energy in the quantum system in terms of the periodicity of the limit cycles of the deterministic model.
An example of a deterministic dissipative model producing exact quantum mechanics is provided for the case of a finite‐dimensional vector space. These lecture notes have been produced partly from material published earlier, and as such contain more material than what could be presented in the talk.

Neutrinos in the Electron
View Description Hide DescriptionI will show that one half of the rest mass of the electron consists of electron neutrinos and that the other half of the rest mass of the electron consists of the mass in the energy of electric oscillations. With this composition we can explain the rest mass of the electron, its charge, its spin and its magnetic moment We have also determined the rest masses of the muon neutrino and the electron neutrino.

Casimir Energy Associated With Fractional Derivative Field
View Description Hide DescriptionCasimir energy associated with fractional derivative scalar massless field at zero and positive temperature can be obtained using the regularization based on generalized Riemann zeta function of Epstein‐Hurwitz type.

Global dynamical structure in a 3D model for LiCN
View Description Hide DescriptionWe use the frequency analysis method to characterize the phase space of a realistic 3D Hamiltonian model for the vibrations of the LiCN molecule.