We present a statistical mechanics theory of rubber-like elasticity in swollen and unswollen
polymer networks characterized by explicitly non-Gaussian distribution functions (Laplace's …

An interdisciplinary program, dealing with statistics within basic geometry, is presented and
discussed across some modern physics. Its fundamentals are of general interest in physical …

A Lagrangian theory for single chains in polymer solutions is addressed via a recent
Brownian relativity. By employing generalized diffusive coordinates, statements of …

Basic results on conformational chain statistics were formerly derived from scaling concepts
for geometry and a relativistic picture of Brownian self‐diffusion in liquids. A polymer …

The problem of turbulence in liquids is addressed by a recent theory of Brownian relativity. It
relates the dynamics of the liquid molecules to the static properties of macromolecules …

A special theory of Brownian relativity was previously proposed to describe the universal
picture arising in ideal polymer solutions. In brief, it redefines a Gaussian macromolecule in …

The theoretical basis of a recent theory of Brownian relativity for polymer solutions is
deepened and reexamined. After the problem of relative diffusion in polymer solutions is …

Length scale, together with geometry and topology, is certainly another key concept for a
deep understanding of natural phenomena. In string theory and quantum gravity loops, for …

A dual class of Lorentz transformations (dual LT) for linear and Brownian motions in liquid-
like media, is presented and discussed. It descends from two LT groups, for self-diffusion in …

Basic results on conformational statistics of polymer solutions are derived from recent
scaling concepts for geometry and a relativistic picture for Brownian self-diffusion in liquid …