Posts Tagged ‘symmetry’

CP Parity in the Unitary Twist Field

July 31, 2017

In the last post, I showed how the unitary twist field theory enables a schematic method of describing quark combinations, and how it resolved that protons are stable but free neutrons are not. I thought this was fascinating and proceeded to work out solutions for other quark combinations such as the neutral Kaon decay, which you will recognize as the famous particle set that led to the discovery of charge parity violation in the weak force. My hope was to discover the equivalent schematic model for the strange quark, which combined with an up or down quark gives the quark structure for Kaons. That work is underway, but thinking about CP Parity violation made me realize something uniquely important about the Unitary Twist Field Theory approach.

CP Parity violation is a leading contender for an explanation why the universe appears to have vastly more matter than antimatter. Many theories extend the standard model (in the hopes of reconciling quantum effects with gravity). Various multi-dimensional theories and string theory approaches have been proposed, but my understanding of these indicates to me that no direct physical or geometrical explanation for CP Parity violation is built in to any of these theories. I recall one physicist writing that any new theory or extension of the standard model had better have a rock-solid basis for CP Parity violation, why CP symmetry gets broken in our universe, otherwise the theory would be worthless.

The Unitary Twist Field does have CP Parity violation built in to it in a very obvious geometric way. The theory is based on a unitary directional field in R3 with orientations possible also to I that is normal to R3. To achieve geometric quantization, twists in this field have a restoring force to +I. This restoring force ensures that twists in the field either complete integer full rotations and thus are stable in time (partial twists will fall back to the background state I direction and vanish in time).

But this background state I means that this field cannot be symmetric, you cannot have particles or antiparticles that orient to -I!! Only one background state is possible, and this builds in an asymmetry to the theory. As I try to elucidate the strange quark structure from known experimental Kaon decay processes, it immediately struck me that because the I poles set a preferred handedness to the loop combinations, and that -I states are not possible if quantization of particles is to occur–this theory has to have an intrinsic handedness preference. CP Parity violation will fall out of this theory in a very obvious geometric way. If there was ever any hope of convincing a physicist to look at my approach, or actually more important, if there was any hope of truth in the unitary twist field theory, it’s the derivation of quantization of the particle zoo and the explanation for why CP Parity violation happens in quark decay sequences.


What Electrostatics Tells Us

June 7, 2012

I am attempting to work out a viable unitary twist field approach for the attraction and repulsion of charged particles.  I’ve discovered symmetry requires that the vector field would have to have a median plane where there is only a background state, which leads to problems describing how one particle would communicate via the field to another particle (so that the particles, if identically charged, would experience a force of repulsion.   It appears that this problem would also be experienced by QFT since it mediates by virtual photons, which are best described as partial field components that mathematically sum to get the desired result, but individually do not obey various properties such as conservation of energy or momentum.

It will be instructive and potentially guiding to look at the two particle system from an electrostatics point of view.  Here are two figures, one for the two-electron case of repulsion, and one for the electron-positron case of attraction.  Note that the receiving particle experiences a force in the direction that is closest to the ground state potential in both cases.  If the field adjacent to a particle is radially unequal, the particle tries to move so that the field is closer to the ground state on every side of the particle.  It is interesting that in one case (the two electron repulsion state) the median plane is *not* at the ground potential, but in the attraction state, it is.  I see that from an electrostatics point of view, the median plane state, whether background or not, does not affect particle communication, whether by virtual photons in QFT or by bend of the imaginary vector in unitary twist field theory.  It is the field neighborhood, particularly the unequal, or unbalanced, aspect of the field near a particle that has to be responsible for forces on the particle.  It is not clear if the force is due to trying to minimize the overall field neighborhood to be close to the ground state, or if the force is merely trying to equalize the neighborhood (in fact, it is likely that both explanations mean the same thing given the relative nature of electrostatic potential).

The field near an electron when near another electron. Note how the force on a particle moves it toward a more equal field neighborhood.


Electrostatic field for the electon-positron attraction case. Once again, the particle moves to a field neighborhood closer to the ground state.

I will think on this, this means something for both QFT and unitary twist field theory–but exactly what is not clear in my mind yet.