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

Abstract

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 $\lambda_{0}$ of order 1 fermi, $R\ll \lambda_{0}$, 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 $\lambda_{0}$, i.e. for $R\approx \lambda_{0}$, 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 $R\gg \lambda_{0}$ (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, $\Omega_{\Lambda}=1-\Omega_{M}$.