I suspect that groundbreaking work in any field which involves the old saw of 5% inspiration, 95% sweat applies to what I’m doing with the precursor field. It may be a rather big chunk of chutzpah to call my work “groundbreaking”, but it’s definitely creative, and is definitely in the “tedious work out the details” phase. To summarize what I am describing here, I have invented an area of study which I’ve encapsulated with a concept name of the “precursor field”. As discussed in many previous posts, the one-line description of this area of study is “If a single field could bring forth the particle zoo, what would it look like”. For the last bunch of posts, I’ve been working out an acceptable list of assumptions and constraints for this field. Not very exciting, but I’m trying to be thorough and make reasonable conclusions as I work step by step on this. Ultimately I want to derive the math for this field and create a sim or analysis to verify that stable particles resembling the particle zoo will emerge.

Up to now, as discussed in many previous posts, I’ve been able to show that the precursor field cannot be derived from an EM field like DeBroglie and others have done, they failed to come up with a workable solution to enable emergence of stable quantized particles. Thus, there has to be a precursor field from which EM field behavior emerges. I’ve been able to determine that the dimensions of this precursor field has to encompass R3 + I as well as the time dimension. The field must be orientable without magnitude variation, so a thinking model of this field would be a volume of tiny weighted balls. Quantum mechanics theory, in particular, non-causal interference and entanglement, force the precursor field to Fourier decompose to waves that have infinite propagation speed, but particles other than massless bosons must form as group wave clusters. These will move causally because motion results from the rate of phase change of the group wave components, and this rate of phase change is limited (for as yet unknown reasons). The precursor field must allow emergence of quantization of energy by having two connections between field elements–a restoring force to I, and a neighborhood connection to R3. The restoring force causes quantized particles to emerge by only allowing full rotation twists of the precursor field. The neighborhood force would enable group wave confinement to a ring or other topological structures confined to a finite volume, thus causing inertial mass to emerge from a twist in the field.

I’ve left out other derived details, but that should give you a sense of the precursor field analysis I’ve been doing. Lately, I’ve come up with more conclusions. As I said at the beginning–this is kind of tedious at this point, but needs to be thought through as carefully as possible, otherwise the foundation of this attempt to find the precursor field structure could veer wildly off course. I’m reminded of doing a difficult Sudoku puzzle–one minor mistake or assumption early on in the derivation of a solution means that a lot of pointless work will follow that can only, near the end of the puzzle derivation, result in a visible trainwreck. I would really like for my efforts to actually point somewhere in the right direction, so you will see me try to be painstakingly thorough. Even then, I suspect I could be wildly wrong, but it won’t be because I rushed through and took conceptual shortcuts.

OK, let me now point out some new conclusions I’ve recently uncovered about the precursor field.

An essential question is whether the precursor field is continuous or is somehow composed of finite chunks. I realized that the field itself cannot exist in any quantized form–it must be continuous in R3 + I. Thus my previously stated model of a volume of balls is not really accurate unless you assume the balls are infinitely small. I make this conclusion because it appears clear that any field quantization would show up in some variation of a Michelson-Morley experiment, there would be evidence of an ether–and we have no such evidence. I thought maybe the field quantization could be chaotic, e.g, elements are random sized–but then I think the conservation of momentum and charge could not strictly hold throughout the universe. So, the precursor field is continuous, not quantum–thus making the argument that the universe is a computer simulation improbable.

The necessity for twists to allow quantized stable particle formation from a continuous field means that this field is not necessarily differentiable (that is, adjacent infinitesimals may have a finite, non infinitesimal difference in orientation). Quantization has to emerge from the restoring force, but cannot pre-exist in the precursor field.

I realized that the emergence of twists within a volume (necessary to form stable solitons) puts a number of constraints on the connecting force (one of the two connections necessary for the precursor field). First, the connection cannot be physical, otherwise twists cannot exist in this field–twists require a discontinuity region along the axis of the twist. Thus, the connection force must work by momentum transfer rather than direct connection. Another way to put it is there cannot be “rubber bands” between each infinitesimal element. Momentum transfer doesn’t prohibit discontinuities in field orientation, but a physical direct connection would.

Secondly, the neighborhood connection can only work on adjacent infinitesimals. This is different than an EM field, where a single point charge affects both neighborhood and distant regions. EM forces pass through adjacent elements to affect distant elements, but the precursor neighborhood force can’t do that without presupposing another independent field. This discovery was a very nice one because it means the field math is going to be a whole lot easier to work with.

Third, the precursor field must be able to break up a momentum transfer resulting from a neighborhood force. It must be possible that if the action of one infinitesimal induces a neighborhood connection, it must be possible to induce this connection force to more than one neighboring infinitesimal, otherwise the only possible group wave construction would be linear twists (photons). A receiving infinitesimal could get partial twist momenta from more than one adjacent infinitesimal, thus the propagation path of a twist could be influenced by multiple neighbors in such a way to induce a non-linear path such as a ring.

Lastly (for now, anyway!) the restoring force means that sums of momentum transfers must be quantized when applied to another field infinitesimal. I realized it’s possible that a given infinitesimal could get a momentum transfer sum greater than that induced by a single twist. In order for particle energy conservation to work, among many other things, there must be a mechanism for chopping off excess momentum transfer and the restoring connection force provides this. The excess momentum transfer disappears if the sum is not enough to induce a second rotation. I can see from simple geometry that the result will always be a single path, it’s not possible for two twists to suddenly emerge from one. I think if you study this, you will realize this is true, but I can’t do that subject justice here right now. I’ll think about a clear way to describe this in a following post, especially since this work will set the groundwork for the field math.

I’ve come up with more, but this is a good point to stop here for now. You can go back to more interesting silly cat videos now 🙂

Agemoz

Tags: particle zoo, physics, precursor field, qft, quantization, quantum theory, twist, twist field, twist theory, vector field

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