Polymer Physics, Electrical Conductivity of Metals and Cosmology

ABSTRACT – Flory’s model of a polymer deals with three characteristics lengths, namely: the monomer’s length, the chain’s length and the length of the radius of gyration. A first analogy can be established between this model and that of the electrical conductivity of good metals at the room temperature, by taking the Compton’s length, the electron mean free path and the Fermi’s length. A second analogy is considered, thinking the universe world line as a segmented chain, where we have the Planck’s length, the radius of the observable universe and the length associated to the cosmological constant. A characteristic time for the evolution of the universe is obtained (not the Hubble’s time), and it is compared with a possible proton’s decay time.