as I understand it, the central tenet of quantum physics is-
that an electron moves from a to b without passing through any of the space in between, and faster than the speed of light
the only reason this is accepted, is that no alternative explanation exists within newtonian physics for the activity of electrons - but is this the case? alternatives please, or 'proofs' that this is so.

my quarrel with the tenet is this:

just because the electron 'appears' to move through space, does not mean that it does move.
I suggest that electrons stay put, and that they obtain their visible mass entirely from energy. When they are switched on, they are measurable; when switched off they seem to disappear from that particular point in space.
electrons switch on and off according to the number needed to maintain the identity of the neighbouring nuclei
this means a gigantic number of extra electrons beyond those that can be measured - this would account for dark matter
this theory would fit with newtonian physics - thus dispensing with quantum theory!

The central tenet of quantum physics is that physical things come in discrete packets or quanta. When electrons fall from one orbital to another, they emit a QUANTA of energy, not a continuous stream of it.

There is a phenomenon called "quantum tunneling" and I think that is what you are referring to. This involves PHOTONS, not electrons. This seems to be a good article about it:
http://www.lifesci.sussex.ac.uk/home/John_Gribbin/quantum.htm#Photons

Thank you for this.

The Basic mistake in this tenet is Definition of Electron as an electric charge. The electron should be defined as a charged particle not a charge. The charge is a form on energy. The electric charge has the same nature as heat. Heat is a flow of electromagnetic radiation that has a thermal potential. Similarly, electroc charge is a form of electromanetic waves that has electric potential. Such definition ends the duality confusion of electron or light. So, it ends also the quantum confusion of seeing by imaginary equation what we imagine to exist through complex functions and imaginary numbers. I hope to such explanations in detail in my papers:
[1] S. Abdelhady, “An Entropy-Approach to the Duality Property” “J. Electromagnetic Analysis & Applications”, March, 2011, 3: pp.220-227.

[2] S. Abdelhady, ” Comments on Einstein’s Explanation of Electrons, Photons, and the Photo-Electric Effect”, “Applied Physics Research" Vol. 3, No. 2; November 2011, pp. 230-240

The Basic mistake in this tenet is Definition of Electron as an electric charge. The electron should be defined as a charged particle not a charge. The charge is a form of energy. The electric charge has the same nature as heat. Heat is a flow of electromagnetic radiation that has a thermal potential. Similarly, electroc charge is a form of electromanetic waves that has an electric potential. Such definition ends the duality confusion of electron or light. So, it ends also the quantum confusion of seeing by imaginary equation what we imagine to exist through complex functions and imaginary numbers. I hope to read such explanations in detail in my papers:
[1] S. Abdelhady, “An Entropy-Approach to the Duality Property” “J. Electromagnetic Analysis & Applications”, March, 2011, 3: pp.220-227.

[2] S. Abdelhady, ” Comments on Einstein’s Explanation of Electrons, Photons, and the Photo-Electric Effect”, “Applied Physics Research" Vol. 3, No. 2; November 2011, pp. 230-240