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E. Donth

Publications and source records attributed to E. Donth.

4 recordsLinked to original sources
arXiv2010

Two thermodynamic particularities of the dynamic glass transition in liquids: Glarum-Levy defects and Fischer speckles - cosmological consequences

A new thermodynamics for liquids related to von Laue's approach (1917) substitutes some particle priors of Gibb's rational thermodynamics. This allows the definition of a new dynamic entity ($G$ defect) whose diffusion properties also claim a largest causal region ($F$ speckle). In the frame of the hidden charge model \cite{this part} it is discussed, whether this new thermodynamics can be applied to an initial liquid for cosmology, where the $G$ defects lead to the later galaxies and the $F$ speckles to a finite expanding universe of diameter $R$. Far below a "hadronic" Compton wave length $λ_{0}$ of order 1 fermi, $R\ll λ_{0}$, there is no room left for too small filter elements, that would, however, be necessary for a filter convergence to an isolated cold quantum mechanical point particle. When the expansion of the universe comes to $λ_{0}$, i.e. for $R\approx λ_{0}$, then many hadrons are created. The related negative pressure gets large amounts and leads to an intense hadronic cosmological inflation. -- The $G$ defects are formed by the shaping power of Levy distribution (preponderant component, hierarchy, damping factor). A relation between the number of galaxies, the tilt in the density fluctuation, and the temperature amplitude of the CMB is obtained. For $R\gg λ_{0}$ (much vacuum), the "electromagnetic" $M_4$ tangent objects are large and flat. This allows a geometric interpretation of the "stony" dark energy as flatness on the "golden" side of the Einstein equation, $Ω_Λ=1-Ω_{M}$.

physics.gen-ph↗
arXiv2009

Weinberg angle, current coupling constant, and mass of particles as properties of culminating-point filters - consequences for particle astrophysics

Culminating-point filter construction for particle points is distinguished from torus construction for wave functions in the tangent objects of their neighborhoods. Both constructions are not united by a general manifold diffeomorphism, but are united by a map of a hidden conformal $S^{1}\times S^{3}$ charge with harmonic (Maxwell) potentials into a physical space formed by culminating points, tangent objects, and Feynman connections. The particles are obtained from three classes of eigensolutions of the homogeneous potential equations on $S^{1}\times S^{3}$. The map of the $u(2)$ invariant vector fields into the Dirac phase factors of the connections yields the electro-weak Lagrangian with explicit mass operators for the massive leptons. The spectrum of massive particles is restricted by the small, manageable number of eigensolution classes and an instability of the model for higher mass values. This instability also defines the huge numbers of filter elements needed for the culminating points. Weinberg angle, current coupling constant, and lepton masses are calculated or estimated from the renormalization of filter properties. Consequences for particle astrophysics follow, on the one hand, from the restriction of particle classes and, on the other hand, from the suggestion of new particles from the three classes e.g. of dark matter, of a confinon for the hadrons, and of a prebaryon. Definitely excluded are e.g. SUSY constructions, Higgs particles, and a quark gluon plasma: three-piece phenoma from the confinons are always present.

physics.gen-ph↗
arXiv2008

Levy defects in fluctuating pattern of liquids. A quasi thermodynamic approach to the dynamic glass transition in classical molecular liquids

This theoretical paper is to advance a phenomenological, quasi thermodynamic approach to the dynamics of classical liquids which uses the Levy distribution of probability theory. Doubts from the chemical physics community about the application of its unusual properties to this field are tried to be removed. In particular, to understand the preponderant component of the Levy sum for Glarum Levy defects and Fischer speckles, the classical mathematical proof [D. A. Darling, Trans. Amer. Math. Soc. 73, 95 (1952)] for the existence and the influence of this component is accompanied by addition of physical arguments related to these defects. It is tried to explain an underlying fluctuating spatial pattern of free volume with weak contrast and a pattern of mobility with strong contrast, and to explain the characteristic lengths for the main transition and the Fischer modes. The structure of the relaxation chart (dynamic glass transition) and several properties of, and relations between, the slower dispersion zones therein, are reviewed for classical glassforming liquids of moderate complexity. For the main transition, the preponderant component is pushed in the midst of the defect and induces the molecule to its diffusion step across the cage door of the next neighbors. An Experimentum Crucis for an indirect proof of the existence of defects - via characteristic lengths - is also described.

cond-mat.soft↗