Hypothetical Structural Simulation For EWT's Fundamental Particle by Bo Atkinson, Maine USA

A hypothesized structural model tests for possible application to Energy Wave Theory.

Common 3d model formats follow at page bottom.

Structurally speaking, spherically packed wave fronts can be derived from tetrahedral objects and thereby be considered for EWT's most fundamental particles of matter, which subsists indefinitely. Waves of granules, antecedent to both matter and energy, may opportunistically concentrate irregular wave equilibria, conforming to zones between edges of molecules.

Precise geodesic spheres were used to define the spherically cut tetrahedral objects, (in the model above). These were carefully carved with Boolean tools, to help rationalize how particles can exist in an atmosphere like earth's, where the 3d voxels actually bear some amorphous spaces between unlike molecular edges, and where dynamic flows of energy may force their way through distances, in a constantly choppy matrix of intervening granule concentrations to be found between organized matter, and giving way to shape changes of their standing waves.

The objective here is to apply computer modeled structure to the EWT concepts, but also to introduce a special tetrahedral form, in a verifiable 3d model, which is a helix in itself, all at the same time. This variable model will radically-reconsider spin as is commonly illustrated in physics. The following models offer variations of helically formed tetrahedra. EWT physics has guided the modeling as best it could be grasped, by a generalist, without physics specialization.

The following image depicts a trihedral focus, as an organized standing wave, adding vorticity or helicity, which is converged by four symmetrically aligned wave fronts, attaining the symmetrical trihedral helix, through an increasing radius explained forthwith.


Above: Granule wave fronts on the left are angled towards the viewer, which hides their half wave distinctions (to the left of image). More curiously, the tetrahedral framework is 'spun' in itself, as will gradually be explained. (See the above model animated here.) The sharper, trihedral, black wire shape was the surprisingly discovered type of helix, which was explored through it's wide range of variability; and finally, through EWT is here tested as a possible standing wave convergence.

In the formZ geometry app, there is provided, a powerful, generic, helix tool which enabled this discovery. Converting this same black, facetted helix into to smoothed-out closed-curvature, provides possible spin, directionality and chirality.



A versatile framework, whirling and yet faceted all at once, depicts a progressively adjustable radius of tetra-helical properties of particles types, from short lived particles through neutrino types, up to electrons, and the more stable atomic matter, by previously enlarging a radius explained below, (and perhaps having achieved this formation in outer space, distant from our planet). This work proposes geometric rules may fit relatable rules in physics. Several steps are needed to explain the sequential development of this helical trihedron, as follow.



Above: The black straight wire (or facetted) helix was formed with a lower ratio of the two radii sizes, than shown in introductory model above. Geometrically speaking, white and black objects above represent optional forms of the same object, as faceted and smooth. The white curve is a smoothly edited copy of the black. The low resolution black wire represents control points for developing the smooth version (white).

The diagram below shows a helix and a path whose radii are both equal, and this ratio of zero, generates a helix around the red equilateral triangle. The fact of two codependent radii instead of one radius is the proposed mechanism to vary particle stability. The four parts of diagram indicate top view on left, perspective view , top right, front view, bottom left and right-side view, bottom right.

This diagram above demonstrates dual orbits, (or rather the control points able to generate smooth orbiting curves). The primary orbit is an equilateral triangular path in red the secondary orbit is the black helix cycling three turns, with nine steps, while the yellow 3d section of the helix indicates just one 3d cycle. Formal geometry defines open and closed wires, segments, surfaces and solids, with potentially useful word applications for particle physics, which could be explored in these models.

Below are three displays, one of a close up model to the left, and two zoomed out views to the right of image, as the trihedral helix radius is increased, by sliding the arrow. The helix radius was steadily increased by manually dragging the arrow upwards. The tan color of the trihedral helix signifies the modeling app has the helix under control for increasing helix size, with the green arrow, to slide up or down, centering on on the progressive red-line axel-bearings, indicated by green dots, to left, because at those levels of increase, the red is too tiny to see. By starting close-up (on left of image), the display has to be zoomed way out to progressively see a trihedral tetrahedron (to right of image).

The simplest expected particles like neutrinos are suggested to result from loose edges, which suggests their energy can leak out. Resilient tightness of edges, might be a necessary rule for the physical property of stability. Too small a radius loosens the polyhedral seams. (This only refers to the secondary radius mentioned above). The natural rarity of observable neutrinos, so far, may be due in part, to this instability. The smallest ratios of secondary radii, which geometrically form cruder or broken looking enclosures, might well account for the unstable accelerator products as smashed particles, (the so called atomic zoo). Would tight enclosures well describe stable particles?

The different meanings in trihedra and tetrahedra are both applicable in this hypothesis, because both meanings find applicability for developing finer points of this study, and both definitions also overlap proportionally. Trihedra are the simplest enclosures, as defined by fewest parts, also having a triangulated stability, and furthermore as a helix may form the inherent spin, (which may furthermore offer polarity and force orientation, like electrical charge, through the uncovered base. Next, notice the seemingly sealed up trihedral edges, (due to very high ratio of radii, as noted with r1 and r2).

Another note on visual appearance is the 60º projection of a 3 point perspective, above to right, as compared with the close-up, 0º axonometric view to right above. Three sufficiently closed helical loops and one resulting open helical loop, bind together as a self stabilizing, trihedral helix. Very low ratios of trihedral helix radii, to the triangular axel path radius, might fit the nature of short lived particles in accelerator experiments. Could the standard model of physics curiously fit more clearly structural geometrical rules? The multi-view image below is all axonometric, (equivalent to zero perspective and this explains the flatter look of the angled view).

A 3d geometric stability might satisfactorily describe a 3d universe stability. Would two, codependent, internal orbiting paths clarify particle functionality, as compared with singular pivotal-spins? These trihedral models may be tested to explain the most fundamental particles as, a walled in "surface object", which may also explain the electron's directional charge. The parallel edges which are finely separated, proportionally to the infinitesimally smaller triangular axel, provide one infinitesimal crack on each of the three vertical faces, symmetrically angled at 120º from each other, and might suggest study for an additional spin effect.

The next level of joining together two "surface objects" into a geometrically defined enclosure, presents options to model evidence found in physics. Would atoms and protons demark the threshold equivalent to a 3d particle stability, in some way joining the "open bases"? The model's directional arrows were reversed to signify external stability, according to geometry's rules of well formed objects; however, there remains the open question based on clockwise helices versus counterclockwise helices, geometrically speaking, as a question for physics to analyze, for additional property effects.

Next, two fundamental trihedral bases were attached with reversed arrow directions, to also consider coercive stabilization of the proton.

Geometry offers multiple modes of assembly to consider and compare systems of the micro and the macro systems. However geometry needs experience of sciences to guide model making. The images above and below only indicate that variable alignment and chirality factors, might emulate electromagnetic coercivity for modeling different particle types.

The "whirls of granules", inside particles may be perpetuated by the longitudinal standing wave resonance close by, more symmetrically inside the atom than outside of it, and further away, at edges of molecules, possibly averaging out the longitudinal wave shapes opportunistically rather than symmetrically.

A "tiny hole" at trihedron apices is not visible at the above image resolution, but zooming in closely does reveal it clearly, (as in the next image below). It is close in size to the tiny triangulating-concentric-axel. Could it pass granules by connection to other particles? Is there a threshold for this radius, or not? The image below magnifies the hole with it's signature separation of parallel wires, which become increasingly parallel to higher degrees of accuracy, as the ratio of the two radii are increased.

Are granules shared externally or through particle bonding, or not at all? These geometric frameworks present multiple conceivable connection modalities, which must be rationalized with other scientific facts, before devoting more time to modeling. The basis of this model was discovered long before intensively attempting to detail it's EWT applicability. The possibilities seemed somehow conceivable, but the geometric work-out needed the push or inspiration which is graciously supplied by EWT.

The possible misattribution of the default helix option, as found in formZ, possibly is due to using the vertices instead of facet-midpoints, for it's radius positioning, to develope the resulting curve. Should mathematical helices always use vertices, and was that decided in the ancient past? (This issue is for another study).

The formZ, built in option of helix parameters offers this instant, optional spherical representation. It appears a physical wire strung around the vertices. So that the truer trihedral helix must instead be manually scaled down, or else, edited from progressive states of facetted helices, as I have modelled above. More approaches to modeling sphericity may be tried when pertaining parameters are given to the modeler.

November 23, 2020, addendum follow further down this page.

In the spirit of free software, here is a quick way to see the arrows in images above...

The formz free app, 0$ for Windows & Mac is downloaded here.

My 3d work is best seen with arrowed indicators of direction, as can be seen in the formZ Pro app. Arrows simplify analysis of direction and chirality. These are possibly key to discussing bonding mechanism, as the user can reverse direction of segments at will. Whereas other software brands lack this feature, as most modelers ignore direction of segments and facets, which in formZ are a very compact code embedded in the app, rendering quickly for navigation and simulations. To see these arrows first hand, immediately upon opening my model files, one must use formZ.

It is known among 3d modelers that importing and exporting 3d formats often looses model features as those displayed in these 2d images of this presentation. Whereas generic formats will display only plain lines and curves, at best. I will reply to questions on public forums if alerted, and emails are welcome, especially when the subject line includes special terms like EWT or helical, or trihedral, etc..

Simple Models in differing 3d formats follow:

Plain 100:1 Ratio Trihedral Helix:

faceted-trihedron.fmz

faceted-trihedron.wrl

faceted-trihedron.spt

faceted-trihedron.dxf

Facetted trihedral helix with internally facet-rounded, trihedral helices, but only formZ will automatically display the arrows as an option already built into formZ. (This option can be turned on or off under formZ/Options/Display Options.)

FLowMechanics.wrl

FLowMechanics.stp

FLowMechanics.dxf

The formZ format is named differently to avoid confusion:

Arrowed-FLowMechanics.fmz

A Geometrical Simulation Navigable In Virtual Reality And 3D Software (Animation Below)

The trihedral helix is a variably sized mathematical convergence, scaled to the point which physics will deem appropriate, (and will determine consistencies for each sort of sub atomic particle reaction), and possibly scaled in terms of a granule-unit-resolution, where it's radius (r2) can be taken as the distance between the trihedral face centers, to the centroid. Geometry can accept the physicist's call for a numerical value, input to the geometrical model, (which can be converted to a nominal, metric, multiple value, because currently available geometry apps have a 'bandwidth' of values limited under a billion and may or may not work at nano scales or smaller). Yet a scaling factor should handle those issues.

The physicist also must assess and declare whether the trihedral faces comply with their physics models, because the trihedral helix is slightly shorter than the equilateral tetrahedron and the faces are slightly offset from tetrahedral centers, and the apices are not fully converged, (closed); wherein, all these parameters first depend upon the resolution of unit values, to round off the value of r1, (these radii are described in further detail on the first page).

What is more, is that physics must assess if the very slight openings in the helical trihedron cooperate with energetic releases and uptakes, which is here proposed as the mechanical energizing hypothesized to operate something like pressure dependent valves or gates; and, all particles trim the appropriate amounts of ingress and egress of granules, possibly based on the radius sizes, (which are adjustable through sizing of r1 and r2).

The models given on the same first page are outlined by the trihedral framework, whose radius is here referred to as r2 measured at the sharp vertices, while the whirls of force in the models extend to the trihedral faces, and only adjacent to the vertices will represent the radius of r2. The trihedral face centers are closer to the center (or centroid), than are the vertices, which presents parameters more complex than simpler spherical wave fronts. Beyond two trihedra joined at the base, eight trihedra offer the next fully bonded base set.

Furthermore, physics might be at an inception point of 3d space definition only at the fully matured fundamental particle, which is proposed as the electron, while it's smaller radii versions are lesser particles, (as described on the first page). Whereas the granule is proposed as motion without mass, until incorporated in growing pre-particles whose r2 is not mature or stable, but do directly interact with fundamental particles, in the turbulence near large bodies of matter and it's energies. The critically important proton is proposed as two fully sized r2 electrons bonded together at the base, and further verifications of spin direction need verification by physics, (and not by geometry which is the content of this page). Opposed arrows are proposed to indicate closure of particles, after the definition method in solid geometry.

According to the dictionary, only the word helicoid describes a helix wound along an axis; however, the modifying word trihedral is necessary to describe the surface solid framework and enclosure, coincidently generated in the same formula! How is this possible? Mathematics must investigate this factor to understand why a helical formula and a surface solid formula coincide. (We are not describing an equilateral tetrahedron but rather a trihedral framework, and the word objectification could be added to emphasize the source of three dimensionality, by coincidental enclosure of space, by real boundaries, ( and all generated in one formula). The fact is that this writer doesn't know the associated formulae, except that a powerful, geometry, software app does indeed generate these parameters in one process.

As a preliminary step, it is suggested that the  classical electron radius given on, https://energywavetheory.com/equations/ might be taken for r2. This is is expected to fit into the scaling factors mentioned above, and the result would be plugged into calculations of particle energies, also supplied on the EWT page. The process of corroborating the geometries with the anticipated reactions is expected to begin with the sizing of r2.

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