Posts Tagged ‘physics’

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.

Agemoz

The Mystery of Particle Quark Combinations

July 27, 2017

Whenever I lose my car keys, I look in a set of established likely places. If that doesn’t work, I have two choices–look again thinking I didn’t look closely enough, or decide the keys are not where I would expect and start looking in unusual places.

There is a huge amount of data about quarks and the particle zoo, more specifically the collection of quark combinations forming the hadron family of particles. We have extensive experimental data as to what quarks combine to form protons, neutrons, mesons and pions and other oddities, many clues and data about the forces and interactions they create–but no underlying understanding about what makes quarks different or why they combine to form the particles they do–or why there are no known free quarks.

I could travel down the path of analyzing the quark combinations for insights, but I can absolutely guarantee that has already been tried by every one of the half million or so (guess on my part) physicists out there, all of whom have probably about twice my IQ. This is an extremely important investigative clue–I assume everything I’ve done has already been tried. Like the car keys, I could try where so many have already been, or I could work hard to do something unique, especially in the case of an unsolved mystery like quark combinations.

In my work simulating the unitary twist field theory, I have a very unusual outcome that perhaps fits this category–an unexpected (and unlikely to have been duplicated) conclusion. Unitary twist theory posits that there is an underlying precursor single valued field in R3 + I (analogous to the quantum oscillator space) that is directional only, no magnitude. This field permits twists, and restores to the background state I. Out of such a field can emerge linear twists that propagate (photons) the EM field (from collections of photons) and particles (closed loop twists). Obviously, photons cannot curve (ignoring large scale gravitational effects), so unitary twist theory posits that twists experiences a force normal to the twist radius. The transverse twists of photons experience that force in the direction of propagation, but the tangental twist must curve, yielding stable closed loop solutions.

Now let’s examine quarks in the light of unitary twist theory. In this theory, electrons are single loops with a center that restores to I (necessary for curvature and geometric quantization to work. The last few posts describe this in more detail). Quarks are linked loops. The up quark has the usual I restoring point, and an additional twist point that passes through it which I will call poles. This point is the twist from another closed loop. It’s not possible for this closed loop to be an electron, which has no poles other than I, but it could be any other quark. The down quark is a closed loop with two such poles.

The strong force is hypothesized to result from the asymptotic force that results when trying to pull linked quarks apart–no force at all until the twists approach each other, then a rapidly escalating region of twist crossing forces.

So far, so good–it’s easy to construct a proton with this scheme. But a neutron is a major problem–there’s no geometric way to combine two down quarks and an up quark in this model.

Here is where I have a potentially unique answer to the whole quark combinations mystery. Up to this far I can guarantee that every physicist out there has gotten this far (some sort of linked loop solution for quarks–the properties of the strong force scream for this type of solution). But it occurred to me that the reason a free neutron is unstable (about 15 seconds or so) is because the down quark in the unitary twist version of a neutron is unstable. It does have a pole left over, with nothing to fill it, no twist available. The field element at this pole is pointing at Rx, but there’s nothing to keep it there. It eventually breaks apart–and look at how beautifully the unitary twist field shows how and why it breaks up into the experimentally observed proton plus electron. Notice that the proton-neutron combination that forms deuterium *is* stable–somehow the nearby proton does kind of a Van Der Waals type resolution for the unconnected down quark pole. No hypothesis yet on the missing neutrino for the neutron decay, but still, I’m hoping you see some elegance in how unitary twist field theory approaches the neutron problem.

A final note–while I’m extremely reluctant to perform numerology in physics, note the interesting correlation of mass to the square of the number of poles. It might be supportive of this theory, or maybe just a numerical coincidence.

Agemoz

Renormalization

June 25, 2017

I’m working on the math for the Unitary Twist Field Theory sim. The first sim to run is the easiest I know of, the electron/photon interaction, and if the theory doesn’t yield some reasonably good results, the theory is dead, there’s no point in going further. If that happens, hopefully there will be an indication of how to modify it to make it work, but this will be a defining moment for my work. Just recently, something quite astonishing came out of this work to find the equations of motion for the precursor field of this theory.

In the process of working out the force computations, I’ve been able to winnow down the range of possible equations that will rule the components of the interaction. Note first that the sim I am doing is discrete while the theory is continuous, simply to allow a practical implementation of a computer sim. I can add as many nodes as I want to improve accuracy, but the discrete implementation will be a limitation of the approach I am taking. In addition, forces can be local neighborhood only since according to the theory there is only one element to the precursor field, you can’t somehow influence elements through or outside the immediate neighborhood of an element. The field is also incompressible–you cant somehow squeeze more twist elements into a volume.

To express a twist with all of the required degrees of freedom in R3 + I, I use the e^i/2Pi(theta t – k x) factor. Forces on these twists must be normal to the direction of propagation–you can’t somehow speed it up or slow it down. Forces cannot add magnitude to the field–in order to enforce particle quantization (for example E=hv) the theory posits that each element is direction only, and has no magnitude. I use the car-seat cover analogy–these look like a plane of wooden balls, which can rotate (presumably to massage or relieve tension on your back while driving), but there is no magnitude component. The theory posits that all particles of the particle zoo emerge from conservative variations and changes in the direction of twist elements. To enforce rotation quantization, it is necessary that there be a background rotation state and a corresponding restoring force for each element.

In the process of working out the neighborhood force for each field element, I made an interesting, if not astonishing, discovery. At first, it seemed necessary that the neighborhood force would have a 1/r^n component. Since my sim is discrete, I will have to add a approximation factor to account for distances to the nearest neighbor element. Electrostatic fields, for example, apply force according to 1/r^2. This introduces a problem as the distance between elements approaches zero, the forces involved go to infinity. This is particularly an issue in QFT because the Standard Model assumes a point electron and QFT computations require assessing forces in the immediate neighborhood of the point. To make this work, to remove the infinities, renormalization is used to cancel out math terms that approach infinity. Feynman, for example, is documented to have stated that he didn’t like this device, but it generated correct verifiable results so he accepted it.

I realized that there can be no central (1/r^n) forces in the unitary twist field (this is the nail in the coffin for trying to use an EM field to form soliton particles. You can’t start with an EM field to generate gravitational effects–a common newbie thought partly due to the central force similarity, and you can’t use an EM field to form quantized particles either). Central force fields always result from any granular quantized system of particles issued from a point source into Rn, so assuming forces have a 1/r^n factor just can’t work. The granular components don’t dissipate, after all, where does the dissipated element go? In twist theory, you can’t topologically make a twist vanish. Thus the approximation factor in the sim must be unitary even if the field element distance varies.

Then a powerful insight hit me–if you can’t have a precursor field force dependent on 1/r^n, you should not need to renormalize. I now make the bold assertion that if you need to renormalize in a quantized system, something is wrong with your model. And, of course, then I stared at what that means for QFT, in particular the assumption that the electron is a point particle. There’s a host of problems with that anyway–in the last post I mentioned the paradox of an electron ever capturing a photon if it is a point with essentially zero radius. Here, the infinite energies near the point electron or any charged point particle have to be managed by renormalization–so I make the outrageous claim that the Standard Model got this part wrong. Remember though–this blog is not about trying to convince you (the mark of a crackpot) but just to document what I am doing and thinking. I don’t expect to convince anyone of this, especially given the magnitude of this discovery. I seriously questioned it myself and will continue to do so.

The Unitary Twist Field theory does not have this problem because it assumes the electron is a closed loop twist with no infinite energies anywhere.

Agemoz

Special Relativity and Unitary Twist Field Theory–Addendum

February 2, 2017

If you read my last post on the special relativity connection to this unitary twist field idea, you would be forgiven for thinking I’m still stuck in classical physics thinking, a common complaint for beginning physics students. But the importance of this revelation is more than that because it applies to *any* curve in R3–in particular, it shows that the composite paths of QFT (path integral paradigm) will behave this way as long as they are closed loops, and so will wave functions such as found in Schrodinger’s wave equation. In the latter case, even a electron model as a cloud will geometrically derive the Lorentz transforms. I believe that what this simple discovery does show is that anything that obeys special relativity must be a closed loop, even the supposedly point particle electron. Add in the quantized mass/charge of every single electron, and now you have the closed loop field twists to a background state of the unitary field twist theory that attempts to show how the particle zoo could emerge.

Agemoz

Special Relativity and Unitary Twist Theory

January 30, 2017

I’ve been working diligently on the details of how the quantizing behavior of a unitary twist vector field would form loops and other topological structures underlying a particle zoo. It has been a long time since I’ve talked about its implications for special relativity and the possibilities for deriving gravity, but it was actually the discovery of how the theory geometrically derives the time and space dilation factor that convinced me to push forward in spite of overwhelming hurdles to convincing others about the unitary twist theory approach.

In fact, I wrote to several physicists and journals because to me the special relativity connection was as close as I could come to a proof that the idea was right. But here I discovered just how hard it is to sway the scientific community, and this became my first lesson in becoming a “real” scientist. Speculative new theories occupy a tiny corner in the practical lives of scientists, I think–the reality is much reading and writing, much step-by-step incremental work, and journals are extremely resistant to accept articles that might cause embarrassment such as the cold-fusion fiasco.

Back in my formative days for physics, sci.physics was the junk physics newsgroup and sci.physics.research was the real deal, a moderated newsgroup where you could ask questions and get a number of high level academic and research scientists to respond. Dr. John Baez of UC Riverside was probably one of the more famous participants–he should be for his book “Gauge Fields, Knots and Gravity”, which is one of the more accessible texts on some of the knowledge and thinking leading to thinking about gravity. But on this newsgroup he was the creator of the Crackpot Index, and this more than anything else corrected my happy over-enthusiasm for new speculative thinking. It should be required reading for anyone considering a path in the sciences such as theoretical physics. Physicists 101, if you will–it will introduce you hard and fast to just how difficult it will be to be notable or make a contribution in this field.

I’m not 100% convinced, as I’ve discussed in previous posts, that there isn’t a place for speculative thinking such as mine, but this is where I discovered that a deep humility and skepticism toward any new thinking is required. You *must* assume that speculation is almost certainly never going to get anywhere with journal reviewers or academic people. Nobody is going to take precious time out of their own schedule to investigate poorly thought-out ideas or even good ideas that don’t meet an extremely high standard.

So, I even presented my idea to Dr. Baez, and being the kind and tolerant man he is, he actually took the time review what I was thinking at that time–has to be 20 years ago now! Of all the work I have done, none has been as conclusive to me as the connection to special relativity–but it did not sway him. I was sure that there had to be something to it, but he only said the nature of special relativity is far reaching and he was not surprised that I found some interesting properties of closed loops in a Lorentzian context–but it didn’t prove anything to him. Oh, you can imagine how discouraged I was! I wrote an article for Physical Review Letters, but they were far nastier, and as you can imagine, that’s when my science education really began.

But I want to now to present the special relativity connection to unitary twist theory. It still feels strongly compelling to me and has, even if the theory is forever confined to the dustbin of bad ideas in history, strongly developed my instinct of what a Lorentzian geometry means to our existence.

The geometry connection of unitary twist field theory to special relativity is simple–any closed loop representation of a particle in a Lorentzian systen (ie, a geometry that observes time dilation according to the Lorentz transforms) will geometrically derive the dilation factor beta sqrt(1 – v^2/c^2). All you have to do to make this work is to assume that the loop represention of a particle consists of a twist that is propagating around the loop at speed c, and the “clock” of this particle is regulated by the time it takes to go around the loop. While this generalizes to any topological closed system of loops, knots, and links (you can see why Dr. Baez’s book interested me), let’s just examine the simple ring case. A stationary observer looking at this particle moving at some speed v will not see a ring, but rather a spiral path such that the length of a complete cycle of the spiral will unroll to a right triangle. The hypotenuse of the triangle by the Pythagorean theorem will be proportionate to the square root of v^2 + c^2, and a little simple math will show that the time to complete the cycle will dilate by the beta value defined above.

When I suddenly realized that this would *also* be true in the frame of reference of the particle observing the particles of the original observer, a light came on and I began to work out a bunch of other special relativity connections to the geometry of the unitary twist theory. I was able to prove that the dilation was the same regardless of the spatial orientation of the ring, and that it didn’t matter the shape or topology of the ring. I saw why linear twists (photons) would act differently and that rest mass would emerge from closed loops but not from linear twists. I went even as far as deriving why there has to be a speed of light limit in loops, and was able to derive the Heisenberg uncertainty for location and momentum. I even saw a way that the loop geometry would express a gravitational effect due to acceleration effects on the loop–there will be a slight resistance due to loop deformation as it is accelerated that should translate to inertia.

You can imagine my thinking that I had found a lodestone, a rich vein of ideas of how things might work! But as I tried to share my excitement, I very quickly learned what a dirty word speculation is. Eventually, I gave up trying to win a Nobel (don’t we all eventually do that, and perhaps that’s really the point when we grow up!). Now I just chug away, and if it gives somebody else some good ideas, then science has been done. That’s good enough for me now.

Agemoz

Quantum State Superposition in the Precursor Field

January 1, 2017

I’ve been continuing to work on what a field would have to look like if it were the underlying mechanism for the particle zoo and force fields. One thing I haven’t discussed that will be noticed instantly by anyone who studies physics–this precursor field must allow quantum state superposition. I’ve so far posted a geometrical set of constraints, but I’ve always had an awareness that the model is incomplete–or won’t work at all–if I can’t provide some means for state superposition.

The trouble with inventing a theory like this is that the job is truly humongous. The number of details that have to be verified as correct is really beyond the reach of one person or even a team of people, so I’ve had to trudge on knowing that this whole thing will be laughed off in seconds by experienced theoreticians who spot a missing or wrong claim. This is definitely one of them, if I don’t provide a believable mechanism for quantum state superposition, nobody will bother to look.

So–I’ve spent some time thinking on this. I actually have enough worked out that I want to try a sim of the model, but then I thought–no, make sure quantum states can work with the model. Otherwise the sim will be a waste of time and probably not really even interesting. Probably the easiest and simplest quantum state superposition to think about is electron spin, which I’m going to take the liberty of modelling with a twist ring. There are two spin parameters in a twist ring, one of which is degenerate by rotation(*). To isolate the true degrees of freedom in a gauge invariant system, I will set the ring rotation direction as clockwise, for example, and then see just one degree of freedom in the axial twist direction along the rotation direction–it can be either clockwise or counterclockwise. I will call this the spin of the particle, either up or down.

Now, to specify a quantum state superposition, the particle spin can be either up or down or a linear combination of spin-up and spin-down. Does the unitary twist field theory precursor field allow this? I believe it is easy to say yes. Treat the loop as a transmission line with a discontinuity sheath surrounding the twist. The twist itself is a Fourier construction of standing waves that can encapsulate such a linear composition of the up and down spin. If the particle encounters a spin detector, an operator acts on the linear composition to filter the wave composition and resolve the spin state.

There’s my hand-wavy analysis, no proof by any stretch of the imagination. That is a chore that will have to wait. It looks viable to me, but I have so many other alligators in this swamp that this will have to do for now.

Agemoz

*Note that it’s only degenerate in R3 for purposes of this example. In reality, the R3 + I background state will be different for the two loop rotations, thus providing the required degrees of freedom for both spin and the particle/antiparticle duality.

Precursor Field Forces

December 18, 2016

It looks clear now (see previous posts) that the precursor field (my underlying field proposal that is hypothesized to give rise to the particle zoo and EM and other fields) has to have a discontinuity to enable twists. This is great for quantization as mentioned in the previous post, but is really ugly for the math describing the field. Could nature really work this way? I’m dubious, but all of my analysis seems to show this is the only way, I’ve only gotten here because I have seen no other paths that appear to work.

For example, it’s obvious to everyone that an EM field can’t be the basis for quantization or solitons–lots of historical efforts that many have looked at and ruled out. Twists in a background state is a geometrical definition of quantization. Lattice and computer sim schemes are ruled out (in my mind, anyway) because I think there should be observable ether-like consequences. Adding an I direction to the R3 of our existence is necessary since twists in R3 could not provide the symmetries required for guage invariance and exchange particle combinations. The I dimension, which is merely an element pointing direction that does not lie in a physical real axis of R3, enables twist quantization, and unlike photon ring theories such as DeBroglie’s, can enable twist trajectory curvature–a necessity to allow closed loop solutions that confine particles to a finite volume. There are many more necessary constraints on this precursor field, but the most problematic is the need for field discontinuities. Any twist in a unitary orientable vector field has to be surrounded by a sheath where the twist disconnects from the background state pointing in the I direction.

Requiring discontinuities needed for enabling field twists is an ugly complication. We know already that any quantizing field theory underlying particle creation/annihilation cannot be linear since dissipation destroys particle stability–solitons cannot be formed. Almost by definition this means that the field has to have discontinuities, but mathematically describing such a field becomes very problematic. Obviously, such a field will not be differentiable since differentiability, at least finite differentiability, implies linearity.

As I’ve mentioned in previous posts, the precursor field has two connections that act like forces. From these connections arise linear and curving twists, exchange bosons of fields, and so on. The first force acts only on a field element, and provides a restoring force to the background state. The second, neighboring affect force, provides an influence on immediately adjacent neighboring elements of the precursor field. The first force should not be conceptually complex–it just means that, barring any other effect, a field element vector will return to the background state.

The second force is more complex. I see at least two options how this force might work. It should be obvious this force cannot be proportionate to the dimensional rate of change of rotation because discontinuities would make this force infinite. In fact, to keep a particle from dissociating, there must be an adhesion to nearby elements–but NOT across a discontinuity. Otherwise, the force due to the discontinuity would be far greater than the force holding the elements of the twists, where each end is bound to the background state (or to the 0 and 2Pi phase rotation connection of the closed loop twist). If that happens the forces across the discontinuity would be far greater that the force tying down the twist ends to the background state and our particle, whether linear or closed loop, would immediately be shredded into nothing.

The other possibility for the second force is to make it only proportionate to the timewise rate of change of adjacent elements (sort of like induction in magnetic fields), but again, the discontinuity sheath would bring in potential infinities.  Right now this approach does not show promise at all for a bunch of reasons.

I think the only viable description of the neighborhood force would be an adhesion to nearby states who’s orientation is the same or very slightly different. That is, the angular delta from nearby elements causes a force to make that delta 0, but if there is a rip or tear then no force occurs). An important side question is whether the neighborhood connection is stronger than the restoring to I force. It’s not clear to me right now if it matters–I think field quantization works regardless of which is stronger.

This finally gives me enough description that I can mathematically encode it into a simulation. I realize that just about all of you will not accept a theory with this sort of discontinuity built into every single particle. Like you, I really am quite skeptical this is how things work. I hope you can see the logic of how I got here, the step-by-step thinking I’ve done, along with going back and seeing if I overlooked a different approach (eg, more dimensions, string theory, etc) that would be more palatable. But that hasn’t happened, I haven’t seen any other schemes that could work as well as what I have so far.

Agemoz

Nope: Precursor Field With a Background State Has to be Discontinuous

December 15, 2016

In the last post, I had come to the conclusion that the proposed R3 + I precursor field that would give rise to the particle zoo and EM and other fields could have twists and not have a discontinuity. This posed a problem, however, since quantization of a unitary twist field depends on the twist not being able to dissipate–that the discontinuity provides a “lock” that ensures particle stability over time. Further study has revealed that the extra I dimension does NOT topologically enable a continuous field that could contain twists.

The proof is simple. If the two ends of the twist are bound to the background state, but there is a field twist in between, it must be possible to create some other path connected to the endpoints that does not have a twist, since the background state must completely surround the twist path–see the diagram below. But this is impossible, because in a continuous system it must be topologically possible to move the paths close to each other such that an epsilon volume contains both paths yet has no discontinuities. Since this field is unitary and orientable (I like to use the car seat cover analogy, which is a plane of twistable balls for infinitesimal field elements), there is no “zero” magnitude possible. Somewhere in the epsilon volume there must be a region where the field orientations show a cut analogous to a contour integral cut.

It doesn’t matter how many dimensions the field has, if I’ve thought this through correctly, twists always require a discontinuity in a unitary orientable vector field.

This is a relief in most ways–otherwise this whole scheme falls apart if twists can dissipate. The only way a twist can unravel is in a collision with another twist of the opposite spin or some other similar geometrical construct.

Agemoz

twist_discontinuity_p1

Precursor Field Does Not Have to be Discontinuous

December 3, 2016

In trying to ferret out the properties of a precursor field that would give rise to the particle zoo and EM fields and so on, I had been working out just what this field would look like if it could form a loop. I have so far determined that it would have to reside in a orientable, unitary R3 + I vector field, the same dimensionality as the quantum oscillator field, and that to achieve E=hv quantization, quanta would take the form of twists in a background state pointing in the I direction. I figured out that a twist would curve in R3 if it formed a loop around a central background state region, because regardless of the loop topology in R3, it would always pass through a field orientation tilt toward the central I background region.

Up to now, the concept seemed to be workable, but I always have struggled with the field twist concept. I knew that in R3, you cannot have a field twist without a field discontinuity along the twist axis, which really caused me to doubt the veracity of the unitary twist theory. I know of no instance in the real universe where there’s a true discontinuity–even in black holes. To have our existence form from particles made of twists and field discontinuities has always seemed unlikely to the extreme–I have several times nearly abandoned this work because non-analytic fields seemed non-intuitive, non-differentiable, and non-geometrical.

However, when I tried to detail the specific mathematical possibilities for describing a curved twist in the R3 + I field, I discovered something quite surprising. Every mathematician probably knew this already–but when vector fields are described in four dimensions (R3 + I), axial twists can form in three of the four dimensions and not cause a discontinuity. The I orientation gives the field surrounding the twist an extra degree of freedom that removes the necessity for a discontinuity.

However, this does cause a different problem with the unitary twist theory. We all know that trying to form a soliton out of photons (an EM closed loop solution) is impossible because nothing can curve a photon into a ring. A big problem with trying to describe quantized photons out of EM waves is the dissipation problem, why doesn’t a quantized photon just radiate into nothing, thus losing the apparent quantization and conservation of energy? Currently, Standard Model physics doesn’t really provide an answer to that, but in unitary twist field theory work, I had determined that the discontinuities in a precursor field had acted as a lock that prevents unraveling of the particle, and thus may be necessary for particle stability. You can’t unravel a quantized twist in R3 (causing a particle loop or linear twist to disappear) because you would have to somehow resolve the discontinuity to the background state–and that definitely can’t be done in R3. But in R3 + I, there is no discontinuity required, and thus I think any twist configuration could disappear, thus potentially destroying the energy present in the particle.

So–which is it? We need R3 plus I to achieve quantization and closed loop twists–but R3 + I means we don’t have to have discontinuities–a far more realistic and likely representation of our universe via a unitary vector field, but with the disadvantage that what now enforces quantization? Are there solutions in R3 + I that still depend on a discontinuity for stability and conservation of energy?

Looks like more study and thinking is needed.

I’ll bet there’s a few scientists out there wondering if I could achieve something a lot more significant if I’d put all this time and energy into something worthwhile!

Agemoz

A Promising Precursor Field Geometry

November 29, 2016

I’ve been trying to find a geometrical description of how a unitary field twist could curve. If my hypothesis for the particle zoo arising from a precursor field is correct, the precursor field has to have a number of constraints. I’ve described what I know so far in depth in previous posts–here’s a summary of some of the basic requirements:
a: The precursor field cannot be an EM field with some sort of quantization added to it. The precursor field has to give rise to EM fields (and particles) but it has to be a continuous vector field with no magnitude (orientable only).
b: This field resides in R3 + I (same as the quantum oscillator spacetime) where quantization is achieved via twists that return to a background state pointing in the I direction.
c: There must be two connections built into the precursor field–a restoring force to I, and some kind of angular momentum transfer to neighboring field elements. This transfer force cannot be physical, otherwise field twists would not be possible since twists require a field discontinuity.
d: Field twists can be linear (eg photons) or confined to a finite space in the form of loops or knots or linked combinations of both.
e: There must be some means for a twist propagation to curve (otherwise the loop twists are not possible. I have investigated in detail various mechanisms within the R3 + I space, and believe I see a possibility enabled by the restoring force to the I dimension orientation.

The huge overwhelming problem with this hypothesis is that we appear to have zero evidence for such a precursor field or a background state or the two force connections I’ve described, the restoring force and the neighborhood connection force. I trudged forward with this anyway, knowing no-one out there would give this concept a second’s thought. I searched for possibilities in R3 + I where a loop twist could form and be stable, and for quite a while couldn’t find anything that made any sense.

I’ll tell you, I almost threw in the towel thinking this is a stupid quest. No evidence for a precursor field, no self-sustaining loop geometries that I could see, and experimental physics says any loop solution has to be too small to measure–a basic monkey-wrench in the whole unitary twist idea. I thought a lot, I’m just a dumb crackpot that doesn’t even have it wrong.

Yet something in the back of my mind says to me–when you look at the big picture, the particle zoo has to have a reductionist solution. For this existence to arise from nothing, there has to be some kind of field that gives rise to stable clumps we know as particles. For reasons I’ve discussed in previous posts, this can’t be some sort of computer simulation, nor can there be a creating entity. This all has to arise from nothing, I think–and from a deductive perspective, to me that means a single field must underlie particle formation. I’ve been able to come up with a number of constraints that this field has to have. I keep coming back to not seeing evidence for it, so I feel like I’m wandering around in a sea of ideas with no ability to confirm or deny any intermediate details of how things work. I see no realistic possibility that I could convince somebody this would work, I can’t even convince myself of that. Yet–there has got to be something. I have faith that Humanity can’t have reached the limit of understanding already!!

Not knowing what else to do other than abandon ship, I looked at R3 + I twist solutions, just about all of which couldn’t possibly work. Most fail because of symmetry issues or fail to provide an environment where twists could curve or be self-sustaining, regardless of how I describe the precursor field forces. Just yesterday, however, I happened upon a solution that has some promise. As discussed in previous posts, the restoring force to I is an enabler for quantization, but I realized it’s also an enabler for altering the path of a twist. I used the example in a previous post of how a field twist in R3 will curve if a regional part of the field is tilted in another dimension (imagine propagating a falling dominoe sequence through a sea of dominoes that is already partway orthogonally tilted). I am still checking this out, but it looks like there is one way to form the twist where this happens–if the twist loop resides in two of the dimensions of R3, and the axial twist in that loop resides in the remaining R3 dimension, but the restoring force is to the I dimension direction, the center of the loop will hold an element pointing in the I direction, thus causing all of the surrounding elements including the twist loop itself to feel a swirly (ref the Calvin and Hobbes cartoon!) that causes the twist propagation to pass through the field that is curved toward the center of the R3 loop.

This concept is ridiculously difficult to visualize, but essentially the I restoring force causes the field to always twist toward the center, regardless of loop orientation within R3. This is what the unitary twist field has to have–any other dimensional geometry simply does not provide the necessary twist curve. Believe me, I tried all other combinations–this is the only one that seems to consistently work no matter what kind of a topological loop configuration is used. Here is a pathetic attempt to draw out what I am thinking…

Agemoz

twist_in_restoring_i