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The hypothetical model of Universal Vortical Singularity

The Universal Vortical Singularity is a theory of everything (TOE), in a single model it has made revolutionary discoveries in mysterious phenomena that exist in the universe, through inferring the presence of singular vortex on identifying its vortical singularities and understanding the associated complexly inversed illusions caused by a paradoxical effect.

Singular vortex mechanism refers to the fundamental inertial force interactions in a torque-free precession that forms a singular vortex on viscous mass of a suspended spheroid through torque-induced precession caused by external gravity, this universal mechanism in a paradigm is hereby referred as the Universal Vortical Singularity. See do an interactive experiment to understand torque-free precession.

Singular vortex is a nothingness of warped surface in the form of void that emerges on the surface of viscous mass, it primarily wobbles in a two-axis spin in a suspended spheroid. The torque-induced precession would wobble the suspended spheroid that has effects on viscous mass with consistent centrifugal forces exerting from two axes that interact in a geometrical gravity field and weave singular vortex by a torque-free precession in the viscous mass, the spawned singular vortex then drives a vortrex with vortically culminated momentum. This is the basic model of Universal Vortical Singularity from atomic scale to cosmic scale.

The spinning movements of a suspended spheroid in its rotation on a revolving path have consistence fictitious forces in a precession effect, and through conservation of angular momentum in a differential manner, these forces affecting the whole mass of the wobbling spheroid is dilated from the core towards the surface, are then amplified enormously on lower density viscous mass layers that initiates the fromation of singular vortex paradoxically by opening the vortex eye and forms the vortex column in a top-down manner from the surface towards the core. The viscous mass in layers on the spheroid are naturally segregated mechanically, or electromagnetically, governed by their inverse-square laws progressively in the state of molten matter, liquid, gas and plasma.

The two basic structural formations

A naturally occurred free vortex with the singularities of singular vortex mechanism can be spawned in two basic structural formations; a main structural formation that forms singular vortex on a geological pole, and a secondary structural formation that forms singular vortex on a lower latitude of the suspended spheroid.

For the main structural formation that forms a singular vortex in the form of polar vortex, the primary vortex is formed by a forced vortex in a main axis of singular vortex where a centrifugal force is consistently exerted, this inertial force is from the rotating axis of the suspended spheroid. The secondary axis of singular vortex where the driving force is acting on the primary vortex comes from the revolving axis of the suspended spheroid that has a consistent differential force acting on the primary forced vortex. This free vortex assumes an explicit relative parabolic shape from the forced vortex as its primary vortex, when the driving force develops a dual-core vortex eye it would form a vortex column in a shape with this tendency. The principle mechanism of a singular vortex forms in this main structural formation is illustrated by how an atmospheric polar vortex is formed. T

For the secondary structural formation that forms a singular vortex in the form of cyclone on a lower latitude of the suspended spheroid, the primary vortex on a lower latitude is a a blind vortex formed as a result of turbulence caused by a force that has developed into a centrifugal force in the viscous mass, the axis of this primary vortex is the main axis of singular vortex in this basic structural formation. This consistent force could be from a force in a path of a centrifugal force from larger vortex within the spheroid, or as a result of perturbation by external gravities from nearby spheroids, or as a result of both. The secondary axis of singular vortex with the driving force favorably acts on cyclonic primary vortex comes from the rotating axis of the suspended spheroid that has a differential force, this phenomenon can be explained by cyclonical gravity field effect. This free vortex assumes a curved cone shape from the blind vortex as its primary vortex, when the driving force develops a dual-core vortex eye, it would form a vortex column with a funnel-like shape or a curved-up bowl shape depending on vortex intensity and the conditions of the viscous mass. The principle mechanism of a primary singular vortex forms in this secondary structural formation is illustrated by how a lower latitude singular vortex is formed. See also sunspot that has strongly demonstrated the perturbation of external gravities caused by a focused gravities of aligned planets in a solar system alignment that forms singular vortex in this structural formation.

A force acting in a viscous mass along its surface with a vertical component would wrap the surface, in a regression manner of turbulence flow that transforms this force into centrifugal forces, along the force by its two sides it could form a series of circular depressed structures on the surface as blind free vortices. In the direction of this force, the spinning of these blind free vortices is clockwise on the right side along the line of force and anti-clockwise on the left side.

 

Dominant singular vortex

The interweaving of singular vortex mechanism by the two basic structural formations in a manner of progressive vortical harmonic series that forms harmonic vortices with varying vorticity, size and angular phase, would form vortices with this tendency of a progressive vortical paradigm arrangement within a dominant singular vortex as illustrated by the schematic, in progressive series of harmonic vortical sets toward infinities for all vortices. Singular vortex is always optimized for its most complex tendency in a most simple form.


Schematic of dominant singular vortex with elongated dual-core vortex eye in a
progressive vortical paradigm arrangement with vortical spokes and vortical spiral arms


Mars' Victoria crater

Jupiter's polar vortex

Cartwheel galaxy

Corona loops

Galaxy M81

Tropical Cyclone

Aurora

Oceanic Whirlpool

However, a singular vortex could form independently in a dominant form in any of the structural formations when the conditions are in a stage of equilibrium. This circumstances occurs when the primary forces involved has sufficient energy and the viscous mass has high stability in a balanced manner. The higher the energy in the primary forces has, the more readily a vortex would form but it would cause proportionally higher instability to the viscous mass. The higher in viscosity, density and in volume a viscous mass have, the stability would be higher, but proportionally more energy is required in the primary forces for a vortex to form.

Mars' Victoria crater has displayed this vortical paradigm characteristic in remnants of a hypothetical vortex of molten matter. This characteristic was also observed in atmospheric vortices of Jupiter with a chain of satellite vortices that have formed around a rim of a polar vortex. Cartwheel galaxy has also strongly demonstrated this characteristic. Corona loops of a sunspot displayed this characteristic in an intriguing manner that a higher surface seems to have warped and sunk into the void of a sunspot's vortex column. Galaxy M81, Earth's tropical cyclone, an aurora and an oceanic whirlpool have shown overlapping harmonic vortices revolving around their main vortex in the form of spiral arms.

The top view schematic for dynamics of dominant singular vortex in two dimension could be illustrated better with more details in a dynamic manner by using a three dimensional spatial model animation in cyclonic motion to express the vectors.

The elongated dual-core formation of the vortex eye is as a result of the momentum of viscous mass in the vortex has regressed in the direction of the driving force in a center seeking manner on the surface of vortex.

 

Progressive vortical harmonic series of singular vortex - Vortical core-seeking force

From an origin of a rotating singular vortex with an elongated dual-core, in a manner of progressive vortical harmonic series from this vortical origin towards infinity, it generates harmonic vortices in harmonic vortical sets around the center and they revolve around this center in an overlapping manner; every vortical set has homogenous harmonic vortices (black oval shape circles) with varying angular phase formed in an overlapping circular arrangement of a 360° period. This arrangement caused by precession effect of the wobbling spheroid would vary according to the vortical forces interacting on the viscous mass. A vortical core-seeking force is collectively formed by the leading arcs of eccentric harmonic vortices in the accretion disc around the main vortex in varying angular phase, these leading arc section of harmonic vortices drive viscous mass vortically toward the core.

The graphic in two-dimensional geometry on far right illustrates a set of homogenous ovals (black) formed in a successive circular manner with varying angular phase that have a dual-core center of equilibrium. The cyan circles are vortex rings of harmonic vortices dilated from the main vortex column (solid blue) in a same angular phase; the extending vortex rings are on a vortex column vividly visible on several layers of viscous mass where centrifugal force is in equilibrium with centripetal force. This centripetal force is caused by conserved energy in consolidated viscous mass countering the centrifugal force. See the inserted artist impression that illustrates singular vortex in a 3D geometry. A pair of complimentary singular vortex formed on opposite polar regions in a suspended spheroid of viscous mass would render it as a torus shape structure. See the geometrical structure of magnetosphere.

Torus shape
structure

Referring to the schematic of dominant singular vortex, the innermost oval structure is the dual-core vortical origin, there are progressively larger harmonic vortices dilated from this origin. A vortical spoke or a vortical spiral arms is an arc of a harmonic vortex formed at a specific phase angle. The vortical spokes set and the vortical spiral arms set in a successive circular manner in homogenous forms are the vortical sets in a vortical harmonic series with homogenous harmonic vortices generated with varying angular phase that has formed in a successive circular arrangement following inverse-square law. The force interactions of these harmonic vortices would cause torque-free precession on viscous mass and spawn satellite singular vortices.

Geometric top view of dual-core harmonic vortices in main vortex


Vortical spokes and vortical spiral arms

Prominent arcs of spokes and spiral arms formed as furrows is as a result of the leading sides of those harmonic vortices on a warped surface is pushed into the viscous mass by a differential force that has exerted on these dilated harmonic vortices from the rotating vortical origin. This differential force from cyclonical gravity field effect of the vortical origin rotation causes viscous mass to spiral downward in these harmonic vortices from the far side of the vortical origin, this process pushes the dilated harmonic vortices into the rotating viscous mass on an axis of vortical origin with the leading side of the harmonic vortex columns compressed as prominent arcs of furrows. See natural phenomena of spokes and spiral arms.

For a harmonic vortical set of harmonic vortices nearer to the vortical origin, prominent arcs at leading side of those harmonic vortex rims is subjected to a primary centrifugal force from the vortical origin, in a relatively weaker primary centrifugal force it has relatively stronger tangential forces from centrifugal forces of this set of harmonic vortices with smaller radius that draws the prominent arcs towards the core in higher density viscous mass at lower altitude, through pushing manner they forms as spokes with a cyclonic vortical tendency. Logically, these cyclonical spokes push toward inner vortex wall by centrifugal force are radially formed in higher layer of lighter viscous mass that has sunk into the void of the vortex column. Viscous mass in the spin is pushed in by an angular momentum therefore vortically culminates toward the core through compression.

For a harmonic vortical set of harmonic vortices further from the vortical origin, prominent arcs at leading side of those harmonic vortex rims is subjected to a primary centrifugal force from the vortical origin, in a relatively stronger primary centrifugal force it has relatively weaker tangential forces from centrifugal forces of this set of harmonic vortices with larger radius that draws the prominent arcs towards the core, through pulling manner they forms as cyclonic spiral arms with an anti-cyclonic vortical tendency. Lagging vortical spiral arm is an inversed free vortex with a vortex column that is larger at lower altitude towards the bottom and smaller at higher altitude towards the surface of the viscous mass. Visocus mass in the spin is dragged away by an angular momentum therefore vortically dissipates away from the core through the pulling force.

The further away from the center of vortex origin in a near linear angular velocity, the stronger is the tangential force of centrifugal force exerted from a center. The further away from the vortex origin that a harmonic vortical set of harmonic vortices are generated, the centrifugal force of these harmonic vortices is proportionally weaker, this is as a result of conserved energy in the centrifugal force of a dominant singular vortex is distributed and reduced in harmonic vortices with larger radius.


Spokes

Spiral arms

Universal Vortical Singularity predicts that spokes and spiral arms are satellite vortices on leading arcs of dilated harmonic vortices at different angular phase that cyclonically rotates around the vortical origin.

 

Vortrex - The reversed pushing out vortical column driven by a singular vortex
Singular vortex mechanism is completed in two strokes, is initiated with singular vortex that vortically culminates momentum inwardly in a pushing in consolidation manner mainly with the vortical core-seeking force is the first stroke, drives an equal energy vortical column that dilates the conserved momentum outwardly in a pushing out distribution manner mainly with centrifugal force is the second stroke; this is a complimentary counterpart of a singular vortex for the universal singular vortex mechanism. This outgoing opposite balancing vortical interactions of singular vortex as a reversed pushing out vortical column in viscous mass is hereby referred as a vortrex.

Refer to dust devil for this reversed push-out vortical interactions in mechanical force, refer to positron in the geometrical structure of an atom for the reversed push-out vortical interactions in electromagnetic force. Based on Universal Vortical Singularity, a vortrex is the reversed force dynamics with equal energy force interactions from a singular vortex that has driven and caused levitated charged particles to vortically consolidate and causes the phenomena for protoplanetary disk of stellar jets, dust disk of a star, dust tail of comet, tidal wave of a tidal bore, tropical cyclone, storm surge of a huge clear air vortex on lower troposphere, upward vortical air stream column of a tornado, polar jet stream of polar vortex, dust storm of a huge clear air vortex, proton of an atom.

Vortrex 
-
An outgoing opposite balancing vortical interactions of singular vortex as a reversed pushing out vortical column in viscous mass.
Vortrices
-
The plural of vortrex.
Vortrexes - For this Universal Vortical Singularity research, it is referred to the vortrices formed on different sheet layers with different vorticities separated in their pauses that are sharing a common vortical column and are governed by the force dynamics of a vortrex.

 

Duality of nature
Singular vortex is merged towards the core and separated towards the surface, with dilated harmonic vortices in different phases rotating and revolving around a balanced dual core vortex elongated prominently and separated towards the surface. The force dynamics of singular vortex is infinitely differentiated progressively towards the surface and dilated away from the center, but collectively integrated towards the core into a oneness. The dynamics for the balanced dual core vortex are always in complementary opposite pairs, be it opposite magnetic polarity at the two ends of the dual core in harmonized electromagnetic force field, or the angular momentum opposing on both side of the dual core but is in a state of mechenical equilibrium to hold the vortical form stable. In a perpetual vortical universe model with this as the basis, it is viewed that the investigation for a singular vortex related phenomenon would be futile by probing in those induced and differentiated forms that are fundamentally opposite, cause by its paradoxical nature with misleading ambiguities. The amalgamation for any duality of nature should be focused towards the merging core of the singular vortex inferred, to find unity from opposite end of the differentiated side.

"It takes a touch of genius -- and a lot of courage -- to move in the opposite direction." - Albert Einstein

The key to amalgamate duality of nature should be by integrating inwardly the similarities of the absolute opposites on a transcended scenario to find their common oneness in simplicity. Searching by differentiatng outwardly would only exhaustibly leads toward extreme complexities beyond comprehensible spectrum of its totality; often ends up in delusion caused by unsuspected paradoxes that defy intuition.

"Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things." - Isaac Newton

See paradoxical effect and complexly inversed illusions.


 

Suspended spheroid
The reason for those celestial bodies in the universe that are suspended spheroids is they were gradually formed by consolidation of plasmatic stellar clouds consolidated and can be comprehensively explained with universal gravitational on a point mass. In a suspended condition, viscous mass in the stellar clouds of bonded charged-particles loosing influence from the force that spreads them would collect as a spheroidal shape; this shape packed the mass into smallest possible surface area naturally. Some planetary bodies became stratified on the surface, formed a crust layer. The Earth is wider at the equator than from pole to pole, centrifugal force of its rotation causes its viscous masses to bulge outwards around the equator that thus formed as an oblate spheroid.

Based on the hypothetical model of Universal Vortical Singularity, the geometrical structure of the observable universe is the paradigms of ultra galactic spheroid and ultra galactic vortex in progressive orders that have homogeneously interweaved. See galaxy clusters, paradigm of suspended spheroid in the universe and the vortical universe model of Universal Vortical Singularity.

 

Artist impression of a vortical universe model, for illustration only.

 

A theory of everything in a single model with a concept of nothingness that begets infinities

The Universal Vortical Singularity

The vortical singularities of singular vortex in the universe as a universal singularity

 

 

The tangential velocity of a forced vortex is:

where is the circulation and r is the radial distance from the center of the vortex

Circulation is normally denoted . If V is the fluid velocity and ds is a unit vector along the closed curve C


The tangential velocity of a free vortex is:

Omega is the angular velocity, r is the radius distance from the center of the vortex.

Vortex formula - From Wikipedia, the free encyclopedia

The centripetal force at vortex column of a free vortex is:

Centripetal force formula - From Wikipedia, the free encyclopedia

 

* The above descriptions for singular vortex mechanism in a universal model are construed on an inherently limited basis, it could not entirely cover all aspects of the mechanism that is imbued with infinities in progression of forces that conserves energy in many ways. Nevertheless, it accounts for the primary aspects of the mechanism that has the most significant effects in a refined model that would sufficiently facilitate for understanding the fundamental concept of this universal singularity in a simplified manner.

* For the details on vorticity and fluid dynamics on spiral motion of viscous mass in a vortical movement with closed streamlines, refer to this explanation for vortex from Wikipedia, see also vortex dynamics.

@ There was no known established mathematics in mechanical principle that could calculate the precession effects for naturally occurred free vortex caused by interplanetary gravities acting on viscous mass in a suspended spheroid. Precession effect explains the forces in a spinning solid object with its rotating axis also in a rotation that causes the object to wobble, and describes the effects of external perturbation on the whole mass as a solid body, but these studies did not cover the effects on viscous mass, has merely emphasized that a vortex formed in it would dampen the precession effect. The complete description of turbulence remains an unsolved problems in physics, Reynolds number applies to the circumstances in a viscous mass of when would a vortex form in a dynamic flow, it does not explain how does a vortex form. Could the physicists, mathematicians and experts in this field please advise.

See the wisdom of ancient Chinese in Universal Vortical Singularity comtemplation on Bagua.

 

 

Definition for terms used: Dictionary.com
spheroid - A body that is shaped like a sphere but is not perfectly round, especially an ellipsoid that is generated by revolving an ellipse around one of its axes.
paradox - any person, thing, or situation exhibiting an apparently contradictory nature.
westerly - A storm or wind coming from the west, toward the east.
cyclonic - Describing a direction of rotation that is counterclockwise in the Northern Hemisphere, clockwise in the Southern Hemisphere.
altitude - The height of a thing above a reference level, especially above sea level or above the earth's surface.
latitude - The measurement, in degrees, of a place's distance north or south of the equator.
free energy - A thermodynamic quantity that is the difference between a system's internal energy and the product of its absolute temperature and entropy; the portion of total energy of a natural system that can be used for work.

Rotation axis - The axis a suspended spheroid rotates, is the main axis of singular vortex mechanism for polar vortex, and the secondary axis for lower latitude singular vortex.
Revolving axis - The external axis of a suspended spheroid that the revolving path centers on, is the secondary axis of singular vortex mechansim for polar vortex.
Revolution axis - The axis on a suspended spheroid, parallel to its external revolving axis.

 

26th Dec 2007

 

* The above revolutionary discoveries and conjectures based on an unheard-of hypothesis of Universal Vortical Singularity with radical ideas are unconventional and at fundamental stage that are bound to have shortcomings and loose ends, many details and assumptions have yet to be further researched, probed, evaluated, validated and proven. Any term or statement if offensive in any manner or whatsoever is most regretted.

Ref:
Theory of everything - From Wikipedia, the free encyclopedia
Precession - From Wikipedia, the free encyclopedia
Precession (Astronomy) - From Wikipedia, the free encyclopedia
Turbulence - From Wikipedia, the free encyclopedia
Vortex - From Wikipedia, the free encyclopedia
Vortex dynamics - From Wikipedia, the free encyclopedia
Newton's law of universal gravitation - From Wikipedia, the free encyclopedia
Inverse-square laws - Jim Loy
Centripetal force - From Wikipedia, the free encyclopedia
Graphic image of Earth tilted at an angle
- Phoenix Mars Mission
Image of Victoria crater with highlighted circular depressions
- www.holoscience.com.au

Image of cloud band of Jupiter
- NASA
Images of Cartwheel Galaxy - NASA
Image of sunspots - Swedish Institute for Solar Physics
Image of vortical universe in a paradigm - blaze labs research