[AntonioLao]

The title was made to rime with the 1968 movie ‘Chitty Chitty Bang Bang’ which was a fantasy sTOEry about an antigravitic jalopy. But this post is really about a proposed quantization of directional properties at the local infinitesimal domain of space-time.

Quantum chromodynamics (QCD) gradually became a full-fledged theory of elementary particles since it was proposed by David Gross and Frank Wilczek in 1973. Consequently, the proposed solution of asymptotic freedom by Gross and Wilczek, and independently by David Politzer further elucidate the conceptual puzzles of event interaction duality in ultra-high energy of electron and positron collisions. CERN's Linear electron and positron (LEP) and Stanford's SLAC colliders detected two distinct product groups of interaction events (1) the leptonic (lepty) events and (2) the quark-gluon (jetty) events. Since the main collision components are leptons common sense should suggest only leptonic products. However, compelling experimental evidence indicates otherwise. Bootstrap philosophy couldn’t offer much consolation for the mathematically minded. And to say that the world is what it is because it is what it was does not completely satisfy but those who strongly believe in a cosmological anthropic principle.

Now from a mathematical point of view it can be proposed that local infinitesimal degrees of freedom are quantizable. Without time, three-dimensional space (3D) has six degrees of freedom (dof). 2D space is 4-dof and 1D space is 2-dof. 1D time is also 2-dof. Therefore the maximum dof for local infinitesimal space-time is eight. Since dof are integrable similar to vector quantities, in the global macroscopic domain, the numbers of dof are greater than eight and could easily become unbounded approaching the smoothness of a continuous field. Nonetheless, the field’s dof remains quantized in the local infinitesimal domain of space-time. It is this directional quantization for all degrees of freedom which makes all the effective quantum field theories possible.

Postscript: Gross, Wilczek and Politzer shared the 2004 Nobel Prize in Physics
see http://nobelprize.org/physics/laureates/2004/

[Guille]

How could the 'disposition for motion' be quantized? I mean, spacetime could be quantized. But the way to move through them, to be extended through them, made of particles? It's a strange idea but revolutionary atleast. Maybe we're all made of two types of particles: matter-particles, which are the quarks and electrons, and the dof-particles, which are not quanta of spacetime, but quanta of 'having extension' on spacetime.

[AntonioLao]

Originally Posted by GUILLE How could the 'disposition for motion' be quantized?

The disposition is nonlinear analogous to rotational motion and constant angular acceleration similar to polarization of electromagnetism. Polarization is quantized.