[AntonioLao]

Rest in potential eternal (ripe), it is a general approach to Anderson Localization. In the year 1842, the Reverend Samuel Earnshaw was 37 years old. He died at the ripe old age of 83, 8 years over the average life of male. But 1842 will be remembered as the year he introduced a fundamental theorem which is important to chemistry in particular and to science in general. This is Earnshaw’s theorem.

It asserts that a closed system of interacting particles by an inverse square law, for example, Coulomb’s law for electrostatics cannot exist in a state of static equilibrium. But the converse is that it must exist in a state of dynamic equilibrium. Prior to the discoveries and widespread acceptance of atoms (1850), of molecules (1890), and electrons (1897) it presciently demonstrates that a model of atoms and molecules based on ‘dead’ electrons is not physically possible. Same sense, ‘live’ electrons would be understood that they are constantly in motion or are in continuous space-time transformations: of rotation, of reflection, of translation, or of dilation.

In physics, things in motion acquire kinetic energy while in fixed positions possess only potential energy. But with respect to individual inertial coordinate frame of reference, things in motion also possess inertial mass which is an equivalent form of relative potential energy. To satisfy Earnshaw’s theorem at deeper levels approaching absolute potentiality, each succeeding level must be derived from certain dynamic equilibrium (de). For galactic structure, this is the de of stars. For stellar structure, this is the de of planets. For molecular structure, this is the de of atoms. For subatomic structure, this is the de of electrons. For sub nuclear structure, this is the de of quarks. For solid states lattice structure of metals, this is described by Anderson localization for disorder systems.