[AntonioLao]

Quantum helix or quantum helicity is the analogue of Planck’s quantum of action. A single helix is simply a perfectly symmetrical space-time structure of square of energy. It will take two perfectly symmetrical helixes to form a unit of quantum space-time. When their symmetry is broken, say at the beginning of the big bang, the resulting asymmetry is equivalent to the defined quantum magnetic helicity. Since this symmetry is time independent, it forbids the creation of an electric vector potential. On the other hand, magnetic helicity is gauge dependent and the magnetic vector potential can be redefined by gauge transformation adding the gradient of a scalar potential.

Magnetic helicity H is usually defined as the volume integral of the inner product of magnetic vector potential, A and the magnetic field B: H=∫∫∫A∙BdV. It is a conserved quantity therefore it can be related to the conservation of energy. The hypothesis is that this is a relationship to the square of energy expressed as the double-integral for the square of least action: ∫∫ E²dtdt. If the later double-integral is replaced by the phase integral of quantum mechanics then the magnetic helicity is equivalent to the product of the photon multiplier, m, the electron multiplier, n, and the square of Planck’s constant of action: ∫∫∫A·(Ñ´A)dV=mnħ². The left hand side can be expanded by determinant into single valued constants. The reality of the magnetic vector potential A is experimentally verifiable by Aharonov-Bohm effect even if the value of the magnetic field B is zero.