We suggest an alternative mathematical model for the electron in which the dynamical variables are a coframe (field of orthonormal bases) and a density. The electron mass and external electromagnetic field are incorporated into our model by means of a Kaluza–Klein extension. Our Lagrangian density is proportional to axial torsion squared. The advantage of our approach is that it does not requir...

We present a growth model for special Cosserat rods that allows induced rotation of cross-sections. The law considers two controls, one lengthwise and another rotations. This is explored in greater detail straight with helical hemitropic material symmetries by introduction symmetry-preserving to account the microstructure. example guided-guided rod possessing chiral microstructure considered st...

Abstract The mechanical balance equations for a body with microstructure are derived from an expansion of the general Noll’s axiom frame-indifference that takes into account behavior measures microstructural interactions. Next, we introduce perfect internal constraints and adopt extended determinism principle to analyze consequences their presence. Finally, define class continua partially const...