In physical theories, both classical, quantum, and relativistic versions, there is extensive use of physical constants. However, the meaning of many of these constants is difficult to understand in all its implications, are they an expression of a mathematical modeling process or a physical reality? One of these constants, Planck’s constant, is the basis of quantum mechanics and is encountered in all the main equations describing the properties of an electron. Another of these constants is the electron charge, which implies that all electrons in the universe are absolutely identical. The charge of an electron is one of the universal constants, and every electron, as we have seen, has exactly the same charge with exactly the same value. Moreover as far as we can currently measure it does not decay, at least in the timescale of the life of the universe. The charge of the electron is found in other constants whose meaning is yet to be deciphered, at least as to what physical sense they may have. One of these, the fine structure constant, is so strange that it has occupied generations of physicists in trying to understand its meaning.