It’s been a little while since I’ve posted, partly because of my time spent on the completion of a big work project, and partly because of a great deal of thinking before posting again (what a concept! Something new!). This blog has traveled through a lot of permutations and implications of the unitary twist field theory. It starts by assuming that the Standard Model is valid, but then tries to create an underlying geometry for quantization and special relativity. This twist vector field geometry is based on E=hv, and has worked pretty well–but when we get to entangled particles and other noncausal aspects of quantum theory, I’ve needed to do some new thinking. While the noncausal construct is easily built on group wave theory (phase information propagates at infinite speed, but group Fourier compositions of waves that make up particles are limited to speed c), there are significant consequences for the theory regarding its view of the dimensional characteristics of the 3D+T construct of our existence.

As I mentioned, the unitary twist field theory starts with E=hv, the statement that every particle is quantized to an intrinsic frequency. There really is only one way to do this in a continuous system in R3+T: a twist within a background state vector field. Twists are topologically stable, starting from the background direction and twisting to the same background direction with an integral turn. Quantization is achieved because partial turns cannot exist (although virtual particles exist physically as partial turns for a short time before reverting back to the background state). With this, I have taken many paths–efforts to verify this pet theory could really work. For example, I tested the assumption of a continuous system–could the field actually be a lattice at some scale. It cannot for a lot of reasons (and experiments appear to confirm this), especially since quantization scales with frequency, tough to do with a lattice of specific spacing. Another concern to address with twist field theory occurs because it’s not a given that the frequency in E=hv has any physical interpretation–but quantum theory makes it clear that there is. Suppose there was no real meaning to the frequency in E=hv–that is, the hv product give units that just happen to match that of frequency. This can’t be true, because experimentally, all particles quantum interfere at the hvfrequency, an experimental behavior that confirms the physical nature of the frequency component.

So–many paths have been taken, many studies to test the validity of the unitary twist field theory, and within my limits of testing this hypothesis, it seems so far the only workable explanation for quantization. I believe it doesn’t appear to contradict the Standard Model, and does seem to add a bit to it–an explanation for why we see quantization using a geometrical technique. And, it has the big advantage of connecting special relativity to quantum mechanics–and I am seeing promising results for a path to get to general releativity. A lot of work still going on there.

However, my mind has really taken a big chunk of effort toward a more difficult issue for the unitary twist field theory–the non-causality of entangled particles or quantum interference. Once again, as discussed in previous posts here, the best explanation for this seems pretty straightforward–the particles in unitary twist field theory are twists that act as group waves. The group wave cluster, a Fourier composition, is limited to light speed (see the wonderful discovery in a previous post that any confined twist system such as the unitarty twist field theory must geometrically exhibit a maximum speed, providing a geometrical reason for the speed of light limit). However, the phase portion of the component waves is not limited to light speed and resolves the various non-causal dilemmas such as the two-slit experiment, entangled particles, etc, simply and logically without resorting to multiple histories or any of the other complicated attempts to mash noncausality into a causal R3+T construct.

But for me, there is a difficult devil in the details of making this really work. Light-speed limited group waves with instantaneous phase propagation raises a very important issue. Through a great deal of thinking, I believe I have shown myself that noncausal interactions which require instantaneous phase propagation, will specify that distance and time be what I call “emergent” concepts–they are not intrinsic to the construction of existence, but emerge–probably as part of the initial Big Bang expansion. If so, the actual dimensions of space-time are also emergent–and must come from or are based on a system with neither–a zero dimensional dot of some sort of incredibly complex oscillation. Why do I say this? Because instantaneous phase propagation, such as entangled particle resolving, must have interactions in local neighborhoods that do not have either a space or time component. Particles have two types of interactions–ones where two particles have similar values for R3+T (physical interactions), and those that have similar values only in phase space. In either case, two particles will affect each other. But how do you get interactions between two particles that aren’t in the same R3+T neighborhood? Any clever scheme like the Standard Model or unitary twist field theory must answer this all important question.

Physicists are actively trying to get from the Standard Model to this issue (it’s a permutation of the effort to create a quantum gravity theory). As you would expect, I am trying to get from the unitary twist field theory to this issue. Standard Model efforts have typically either focused on adding dimensions (multiple histories/dimensions/string theories) or more exotic methods usually making some set of superluminal assumptions. As mentioned in previous posts, unitary twist field theory has twists that turn about axes in both an R3 and a direction I that is orthogonal to R3 in time. Note that this I direction does not have any dimensional length–it is simply a vector direction that does not lie in R3. When I use the unitary twist field theory to show how particles will interact in R3+T, either physically or in entangled or interfering states, those particles would simply have group wave constructs with either a matching set of R3+T values (within some neighborhood epsilon value) or must have matching phase information in the I space. In other words, normal “nearby” interactions between two particles happen in a spacetime neighborhood, but quantum interference interactions happen in the I space, the land that Time and Space forgot. There is no dimensional length here, but phase matches allow interaction as well. This appears to be a fairly clean way to integrate noncausal behavior into the unitary twist field theory.

Obviously, there are still things to figure out here, but that is currently the most promising path I see for how unitary twist field theory will address the noncausal interaction construct issue.

Agemoz

Tags: entangled causal, quantization, quantum entangled phase group, quantum theory, twist ring, twist theory, vector field

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