Fine-Structure Constant from the Madelung Constant

Abstract

A new interpretation and a very accurate value of the fine-structure constant has been discovered in terms of the madelung constant b2(2). The equation is simple,elegant and symmetrical in a great physical meaning. This accurate expression is the most impressive since it is simple and contains just a few prime numbers and the madelung constant. These prime numbers can be possibly connected to finite groups. Also we will present the continued fraction for the fine-structure constant.

Keywords: Fine-structure constant , Dimensionless physical constants , Madelung constant , Archimedes constant