The basic unisonal vortex mechanism with centrifugal forces exerted primarily from two axes interacting in a geometrical gravity field on a suspended spheroid with viscous matter that wobbles in a two-axis spin is universal from cosmic scale to subatomic scale, be it acting on viscous matter in different state of matter, as in plasma, gas, liquid or molten matter with different density, viscosity and characteristic; this is a universal singularity. These different types of viscous matter are collections of vortical cogulated subatomic particles with varying properties in homogeneous molecular clusters that exist universally and have dynamic similarity in fluid principles; mechanically and electromagnetically. As illustrated in the animation on right in a planetary model, the centrifugal forces on two axes interaction is caused by unisonal vortex mechanism that acts on viscous matter of the smaller suspended grey spinning spheroid through rotating and revolving around the bigger suspended cyan spheroid. See UVS topics on "Vortices of Jupiter" that illustrates how atmospheric vortices are formed in precession effects on this gaseous planet that rotates on its own axis and revolves around the Sun, "Tidal bore" that illustrates the precession effect on Earth during equinoxes, and "Orbit of satellites" that illustrates satellite path are in fact vortical motion.	A mechanism of unisonal vortex
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Unisonal vortex is a vortically warped surface in the form of nothingness that emerges naturally from a single point of zero volume in a torque-free precession through vortical motion of viscous matter. It has a wobbling center of equilibrium that is stretched by a consistence driving force horizontally along the surface with an angular momentum, in a stabilized form the vortex column is elongated with a primary dual-core that extends and expands toward the surface following the principle of inverse-square law. Unisonal vortex forms in viscous matter as a material nothingness of vortical void on a suspended spheroid as a result of consistence fictitious forces have generated in a torque-induced precession on the suspended spheroid that its effect has differentially amplified on viscous matter, the viscous matter in a geometrical gravity field on the suspended spheroid primarily wobbles orthogonally in a two-axis spin. See a section on " Unisonal vortex descriptions", and a UVS topic on "Do an interactive experiment to understand the effects of torque-free precession". .	Unisonal vortex in 2D animation
Through interaction of fictitious forces on viscous matter within the suspended celestial spheroid with centrifugal forces on two primary axes interacting consistently in a geometrical gravity field with vortical motion and precess in complex manners (such as differential rotation and invisibility factors that negates), the universal mechanism of unisonal vortex therefore has a paradoxical effect. The paradoxical effect causes natural phenomena affected by unisonal vortex to be intermingled with optical illusions in their perceptions under delusions and therefore have always rendered as wonders under different circumstances, these are complexly inversed illusions that are caused by cognitive paradoxes and they are counterintuitive, mysterious, confusing and paradoxically misleading. .

Mars' Victoria crater

Jupiter's polar vortex

Cartwheel galaxy

Corona loops

Galaxy M81

Tropical Cyclone

Aurora

Oceanic Whirlpool

Schematic illustrated is a tendency for force dynamics of a dominant unisonal vortex; when subjected to inertia forces from unisonal vortex mechanism interweaving in two basic structural formations that forms unisonal vortices in a manner of progressive vortical harmonic series. The surface of viscous matter in a suspended spheroid that primarily wobbles in a two-axis spin would form with this tendency of a progressive vortical paradigm arrangement, within a dominant unisonal vortex that forms harmonic vortices of all sizes at different angular phases, in progressive series of vorticity towards infinities and infinitesimalities for all vortices. Unisonal vortex is always optimized for its most complex tendency in its simplest form. Through a dominant unisonal vortex, many generations of harmonic vortices and interrelated unisonal vortices could be formed with this tendency by having dilated outwardly and nested inwardly in a progressive vortical paradigm arrangement in naturally occurred phenomena caused by the mechanism of unisonal vortex. See a UVS topic on "Unisonal evolution mechanism".

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

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. Image on right is electron's motion of "an electron rides on a light wave after just having been pulled away from an atom", its shows the characteristics of a unisonal vortex in subatomic scenario.

Electron's motion

Universal Vortical Singularity is categorically a theory of everything in natural science, based on a single scientific model it has made revolutionary discoveries in numerous mysterious natural phenomena with a homogenous structure from macrocosms to microcosms that are observed in the physical universe. This is through inferring the presence of unisonal vortex on identifying its vortical singularities and through understanding the associated complexly inversed illusions that are caused by a paradoxical effect.

Various forms of unisonal vortex are inferred in the phenomena of cosmic microwave background radiation dipole, galaxy clusters, black hole, galaxy, satellite galaxy, stellar jets, protoplanetary disk, dust disk of star, planetary nebulae, sunspot, corona loops, gas and dust tails of comet, planetary rings, spokes, spiral arms, planetary cloud bands, magnetospheres, aurora, polar vortex, ozone hole, jet streams, tropical cyclones, tornadoes, other cloud storms, dust storms, dust devils, clear air vortices, oceanic whirlpool, deep-ocean whirlpool cluster, vortex of molten matter, lightning and geometrical structure of an atom.

It has also made revolutionary discoveries in mysterious phenomena associated with unisonal vortex, such as vortically expanding Universe, dark matter, globular cluster, splitting comet, orbit of satellites, crater, volcano, volcano eruption, earthquake, bow echo, tidal bore, ice age, Tunguska event, Bermuda Triangle, cosmic evolution, solar system alignment effect, cyclonic gravity field effect and unisonal evolution mechanism. Dynamics of unisonal vortex are ubiquitous in the Universe, there should be many more vortical phenomena related to universal Vortical Singularity that are yet to be uncovered.

The primary focus on this research is on identifying the vortical singularities of unisonal vortex in natural phenomena, and on understanding the associated complexly inversed illusions caused by a paradoxical effect, so as to conduct validity analysis at fundamental level through inductive reasoning based on the model of Universal Vortical Singularity. This process solves cognitive paradoxes of natural phenomena and rationally establishes comprehensible qualitative predictions. See a topic on "Overviews of Universal Vortical Singularity".

Based on the model of Universal Vortical Singularity that has comprehensively explained the structure of a galaxy, and how those conventional theories for geometrical gravity (galactic gravity and gravity are alikes) were based on misconceptions. This clarifies the concept of gravity in a single model that are compatible for galactic gravity, planetary gravity and quantum gravity; a natural force of universe thought as not fully understood, was in fact misled by paradoxical illusions cause by the paradoxical effect of Universal Vortical Singularity, and therefore hitherto has been misunderstood. Heuristically, the four fundamental forces of nature are thus comprehensively unified in a single UVS model. See a revolutionary concept on gravity effect that is elaborated in "Cyclonic gravity field effect".

Through knowing the paradoxical effect of Universal Vortical Singularity,
it enlightens on how nature does wonders in a complexly inverse manner.

The primary mechanism of unisonal vortex is illustrated below and described in details, through inductive reasoning on how an atmospheric polar vortex is formed and explains the associated complexly inversed illusion cause by the paradoxical effect of Universal Vortical Singularity.

Universal Vortical Singularity enlightenment on atmospheric polar vortex

Using the standard perspective with North Pole at the top, taking a top view, Earth rotates in counter-clockwise direction, and its revolving path around the Sun is also in counter-clockwise direction. Earth is a suspended spheroid with viscous matter that primarily wobbles on these two axes when spinning. The subtle spinning movements of Earth in its rotation on a revolving path have consistence fictitious forces organized in a precession effect, and through conservation of angular momentum in a differential manner, these relatively gentle forces affecting the main mass of the wobbling Earth are progressively amplified enormously in lower density viscous matter layers that are naturally segregated on higher surfaces.

For a polar vortex, the main axis of unisonal vortex mechanism is on rotation of Earth, and secondary axis is on revolution axis of Earth tilted at an angle of 23.5° from the rotating axis.

The atmosphere is flatter and thinner at the poles, is bulged and thicker at the equator, this oblate spheroidal shape is as a result of centrifugal force from Earth rotation on this axis. This rotation axis is the main axis of unisonal vortex mechanism for a polar vortex.

Imagine the Earth's surface of northern hemisphere is being flattened, in a manner maintaining the distance between the surface of Earth and the surface of atmosphere, this is as illustrated above. From this perspective referencing to the flattened surface of Earth, we can conceptually visualize that the atmosphere has a parabolic shape structure, explicitly, this is a forced vortex with a center of equilibrium at a geological pole (See vortex definitions); this is the primary vortex. The atmospheric surface on a hemisphere optically has a convex surface, in a geometrical reality it has a concave surface. On the atmospheric surface of a conceptually flattened Earth, the geological poles at highest latitudes that have been generalized as the tops are geometrically the lowest potential points, and on the equator plane at zero latitude, surface of the atmosphere is geometrically on a highest potential rim of the forced vortex; this is a paradoxical effect caused illusion that has been unsuspected in a complexly inverse manner. Ever since this hidden mechanism was unfolded, the author has experienced an explosion of revolutionary discoveries.

This is the reason for the mysterious mechanism on how cyclones and sunspots are drawn towards a geological pole by centripetal force on a curved surface, it is a concept Einstein had missed in a cognitive paradox and therefore was not able to solve with rotational frame-dragging effect that a polar vortex is driven by mechanical forces primarily caused by motions of Earth. See a topic on "The vortex legacy of Einstein". Ironically, the Earth has to be conceptually flattened to solve the mystery geometrically. The lower latitude vortex moving towards the polar center is likened to a spinning top moving down a slope on a tilted and rotating platform. The inertial force is caused by relative height difference in a geometrical gravity field on a parabolic structured atmospheric surface, this has a dropping effect on a lower latitude vortex laid on a relative gradient, this relative height difference in a geometrical gravity field of Earth would generate a net downward inertial force on the lower latitude vortex (this vortex induces cyclone) with consolidated air mass and draws the vortex from a relatively higher height in the geometrically parabolic shape atmospheric structure to a relative lower point towards the geological pole. This effect causes tropical cyclone to be drawn toward a center of equilibrium at the polar region; it is not a directly applied force that pushes the vortex toward the pole.

The forced vortex formed in viscous matter on Earth driven by centrifugal force that is caused by rotation of Earth in a differential rotation would rotate in clockwise direction at northern hemisphere on a reference frame fixed with the rotating Earth viewing it from the top of North Pole, and rotates in counter-clockwise direction at souther hemisphere in a reference frame viewing it from the top of South Pole. On an external reference frame observed from outside Earth the force vortex would appear to be cyclonically rotating in the same direction with the rotation of Earth in a lagging manner.

UVS predicts that the inertia force drawing a lower latitude vortex towards polar region is caused by a relatively concave surface of viscous matter.

The revolving Earth has a centrifugal force exerted from its revolving axis, its tangential forces acted on different point in the primary forced vortex on Earth would result a consistence differential force that drives this primary forced vortex from the surface in the viscous matter. This revolving axis is the secondary axis of a unisonal vortex mechanism for a polar vortex. Earth revolves around the Sun in orbit on a revolving axis, has a parallel revolution axis on Earth that is tipped over at an angle of 23.5° from the rotating axis, this subjects polar vortex to seasonal variations. The conceptualized parabolic shape atmosphere on either hemisphere held by gravity is subjected to tangential force of a centrifugal force acting from this secondary axis on Earth's revolving axis tilted at an angle from the rotating axis. The revolving movement of Earth has a angular momentum in the atmospheric mass in the path of movement, this angular momentum in the viscous matter is weakest at the side of Earth nearer to Sun and strongest at the far side from Sun. The result is a net momentum in the viscous matter moving horizontally on the surface of the primary vortex towards east, as a differential force that drives the forced vortex at far side from the Sun in the same direction as rotation of Earth. This net momentum interacts with the geometrical gravity field of Earth and regresses in the primary vortex, in a center seeking manner it transforms the forced vortex into a unisonal vortex. This net horizontal westerly force interacts in a geometrical gravity field of Earth on the surface of the parabolic structured atmosphere will cause air mass at northern hemisphere to cyclonicly spin in counter clockwise direction in a center seeking manner. In a stronger torque-induced precession seasonally, when cohesion force of air molecules in the viscous matter are overcome by centrifugal force in a spinning action, at a center of equilibrium, a vortex eye would open, a vortical chain reaction will then occur to form the vortex column until formation of the cyclonic free vortex is peaked. These are the primary forces of unisonal vortex mechanism that forms a polar vortex.

Image on right is a wooden bowl that can spin on its base, this can be used to simulate how centrifugal force in a rotating reference frame would cause a vortex eye to open radially in viscous matter when subjected to rotation in a confinement. Put some beads or pour a shallow layer of water into the bowl, spin the bowl hard for a fast and steady rotation therefore the beads or water within would recede to consolidate as a ring around the circular wall along the inner circumference of the bowl, the hollowed out space previously occupied by the layer of still water or beads would be displaced with lighter density air that is compressed from above. Refer to appendix B for more detailed descriptions on free vortex mechanism, the vortical chain reaction that causes a vortex column to peak and how does a free vortex has a funnel-like shape. See a thermal-mechanics effect of unisonal vortex on how the mechanism has involved as the cause and the effect in driving the clear air unisonal vortex in self-perpetual motion with positive feedback loop under permisible circumstances that keep its vortical form steady.

A bowl that can spin

In summary, the primary forces of unisonal vortex mechanism that forms an atmospheric polar vortex on Earth: Centrifugal force as a result of Earth's rotation develops on the main axis of unisonal vortex mechanism, formed a primary forced vortex on an atmospheric surface at a polar region. Tangential force of centrifugal force from Earth's revolving on a secondary axis provides a net westerly differential force horizontal to the surface in a geometrical gravity field that externally drives the primary forced vortex at a far side from the Sun. Geometrical gravity field of Earth interacts with this horizontal driving force develops as a vortical core-seeking force that causes air mass to spiral on surface of the primary forced vortex in a downward center seeking manner, and in a chain reaction it transforms the atmospheric primary forced vortex into a dual-core cyclonic free vortex at a geological pole.

The driving tangential force and the geometrical gravity field of Earth are the main components of a cyclonic gravity field effect from Earth acting at the secondary axis that transforms the main axis formed atmospheric primary forced vortex at a geological pole into a dual-core cyclonic free vortex. Animation illustrates magnetic reconnection, in a simplified manner it illustrates the force dynamics on how a dual-core unisonal vortex is split in viscous matter. Based on the UVS model, the elongated dual-core formation of the vortex eye is as a result of a perpetual angular momentum of viscous matter in the vortex that regresses in the direction of the driving force in a circular manner that separates the core towards the surface in viscous matter.

The phenomena of large electric currents and magnetic storm associated with the polar vortex are caused by vortical activities; a magnetohydrodynamics (MHD) dynamo effect on bipolar molecules charged in the vortex column on a high intensity spinning vortex wall in viscous matter. A magnetohydromagnetics dynamo has three requirements: a conducting viscous matter, rotation, and convection.

The cold core phenomenon of polar vortex from mid to top section of stratosphere is as a result of sunken mesosphere has filled the void in the vortex column.

The phenomenon of polar jet stream is a vortrex of high altitude polar vortex at a most pressurized bottom section that is smallest in diameter for vortex column with the highest wind speed, this section is sunken as furrow on the surface of a lower atmosphere that has bounced upward vortically. This is a momentum culmination of vortical dynamics in the viscous matter, in closed streamlines as a meandering torus shape structure the high speed jet stream flow perpetually in a loop. UVS predicts that polar jet stream is the vortrex at a bottom section of polar vortex flowing in closed streamlines at high speed in a loop.

Jet streams

UVS predicts that polar jet stream with significant differences in temperature at the boundaries of adjacent air masses is as a result of a higher atmosphere has sunk into the void of vortex column.

In winter a polar vortex is tilted at an angle away from the sun, further from the Sun the polar vortex is at a position most susceptible to the horizontal tangential driving force from the secondary axis, this would intensify the polar vortex. In summer a polar vortex is on an angle that is less susceptible to the horizontal tangential driving force, this would reduce the intensity of the polar vortex.

In winter nights the altitude of an atmosphere surface at polar region is lowered by gravity of Sun, this effect would allow a polar vortex to form easily with a larger vortex eye. In day time during summer the altitude of atmosphere surface at a polar region is increased by gravity of Sun, this effect would require more energy to form a polar vortex that would have a smaller vortex eye. This different altitude effect could be understood by observing whirlpool in controlled experiments with water in a tank set at different levels. When the level of water is lower with lesser mass for acting as centripetal force to counter the vortex column that is pushed radially outward with centrifugal force, the vortex column could be formed more readily with a larger vortex eye as compared with when the level of water is higher and has more mass.

Whirlpool

These images show the polar vortices of Sun, some planets and a star.
Sun's corona caps	Venus	Jupiter	Saturn	Neptune	Uranus	Star HL Tau

For large cyclonic free vortex that is formed on a lower latitude that spawns as tropical cyclone, subtropical cyclone or supercell. The main axis of unisonal vortex mechanism is at a center of equilibrium caused by a force acting at an angle from the surface plane that in a turbulence has developed as a centrifugal force in the air mass to form a parabolic shape depressed structure on the atmospheric surface; a primary blind vortex. This force could be cause by an external perturbation of focused gravities of aligned planets in a solar system alignment effect acting on the atmosphere of Earth in a precession effect, or from a force in the path of a centrifugal force of a larger clear air vortex such as a jet stream of a polar vortex, or the effect of both. The secondary axis is from Earth's rotation with its centrifugal force interacts with Earth's geometrical gravity field that drives the primary blind vortex, with a net momentum as a consistence horizontal force acting on surface of the primary vortex at a side nearer to the equator. See a topic on "Vortices of Jupiter". With a same angular velocity from rotation of Earth, tangential force of centrifugal force from Earth's rotation acting on viscous matter in a cyclonicly depressed structure at a side nearer to equator is a greater force than a tangential force acting further away from the equator; more horizontal distance is covered at the side nearer to equator (See cyclonic gravity field effect that explains this force interaction). This differential force interacts with geometrical gravity field of Earth could drive the primary blind vortex to become a supercell, tropical or subtropical depression at initial stage, when conditions are met the primary blind vortex could gradually intensify to eventually form a tropical cyclone with an opened vortex eye. The phenomenon of spiral arms is as a result of precession, this effect causes the viscous matter to wobble and generate harmonic vortices around the center of equilibrium and they revolve around this center in an overlapping manner at different angular phase.

A tropical cyclone (Hurricane/Typhoon)

A tri-core supercell

See a topic on "Cyclonic gravity field effect" for further explanation on this secondary axis horizontal driving force that reacts in a geometrical gravity field to drive a low latitude free vortex. See also a section on "The two basic structural formations of unisonal vortex mechanism" that explains the mechanism that forms unisonal vortex on lower latitude.

Vortex definitions and brief descriptions:

vortex	-	A whirling viscous matter.	Aurora on polar vortexes
vortices	-	The plural of vortex.
vortexes	-	Is also the plural of vortex in classical definition. For this Universal Vortical Singularity research, it is referred to the vortices 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 unisonal vortex. Image on right is the vortexes of aurora within a unisonal vortex with its vortices segregated on different atmospheric layers.

Unisonal vortex - A naturally occurred cyclonic free vortex that has an elongated dual-core; it is as a result of centrifugal forces exerted form the primary two axes that interacts in a geometrical gravity field on viscous matter in a suspended spheroid that wobbles on a two-axis spin. The different forms of unisonal vortex in different viscous matter are plasmatic vortex in the form of galactic vortex, solar vortex of sunspot, atmospheric vortex in the form of polar vortex, tropical cyclone, hurricane, cyclonic storm, clear-air vortex, dust devil, and dust storm, liquid vortex in the form of oceanic whirlpool and deep-ocean whirlpool, and vortex of molten matter. These different types of naturally occurred free vortex have the peculiarities of unisonal vortex. Free vortex - A spinning funnel shape depressed structure of a warped surface formed with a force drawing the viscous matter in a vortical movement to the bottom at the center, may or may not have a vortex eye. Unisonal vortex, satellite vortex of unisonal vortex, atmospheric vortex in the form of tornado and flame vortex, liquid vortex in the form whirlpool are free vortices. Could be naturally occurred or artificially made cyclonic or anti-cyclonic vortex.		Free vortex structure with opened vortex eye
Blind vortex - A spinning curved cone shape depression on surface of a viscous matter formed in a turbulence by a consistence force acting along the surface with horizontal and vertical component, this is a free vortex without an opened vortex eye. Tropical depression, some weaker storms, clear air turbulence and weaker cells are in this category. It could also be interpreted as a free vortex that its vortex wall has not penetrated through the viscous matter.		Blind free vortex structure
Forced vortex - A spinning parabolic shaped depressed structure on surface of a viscous matter that has no vortex eye with no other forces pulling from the bottom or whatsoever. A horizontal centrifugal force would cause a viscous matter to recede, causing a parabolic shaped depressed surface; spin a cup with water would cause a forced vortex to form. The atmosphere of a hemisphere solely driven by centrifugal force of Earth's rotation is a forced vortex. However, a forced vortex could have an opened vortex eye in a directly receded manner under a relative strong centrifugal force exerting from a single axis acting on a relatively limited volume of viscous matter.		Forced vortex structure

Primary vortex - Refers to a forced vortex that is solely formed by a centrifugal force acting directly from an axis point, or a blind vortex that is formed by a significant force, these type of vortex usually forms as a circular depressed structure with a lowered center on the surface of a viscous matter. Without a sustainable horizontal driving force that circulates in the primary vortex in a center seeking manner, at the center of this primary vortex it usually could not overcome the cohesion force of molecules in the viscous matter to develop a vortex eye.

Vortical singularities - The peculiarities of unisonal vortex, such as the fititious vortical force dynamics and its vortical motion, the structure of a vortex, the vortex eye, the vortex column, the furrows of spokes, the furrows of spiral arms, the hollowed out void in a vortical column, the perpetual circular motion in a center seeking manner on a disc-shaped warped surface, has offspring satellite vortices. The vortical singularities of a unisonal vortex include the peculiarities of a free vortex with an elongated dual-core formation, its vortrex, the viscous matter that wobbles in a two-axis spin in a suspended spheroid where a unisonal vortex is formed, a chain of satellite vortices formed harmonically around a dominant unisonal vortex in a ring and its fititious entity that emerges in a state of viscous matter. Unisonal vortex could be inferred by identifying its peculiarities, the unique characteristics of it. These characteristics in other homogenous forms can also relate to each other that eventually infer the presence of a unisonal vortex through inductive reasoning based on the UVS model. The vortical singularities of unisonal vortex were identified in different forms with various types as in galactic vortex, plasma vortex, gaseous atmospheric vortex, liquid vortex, remants of molten matter vortex and electromagnetic vortex.

Vortrex	-	An outgoing opposite balancing vortical interactions of unisonal vortex in a reversed pushing out vortical column in viscous matter.
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.
Based on unisonal vortex mechanism, the protoplanetary disks (right image in green glow) are the vortrices of of a polar vortex pair as stellar jets.

Unisonal vortex descriptions
Unisonal vortex emerges through vortical motion from a single point of zero volume at a center of equilibrium in a state of viscous matter.
Unisonal vortex self-perpectual motion in a cyclical manner is caused by the effect of precesion.
Unisonal vortex is formed by vibrations with resonance frequencies in a state of viscous matter as a result of torque-free precession.
Unisonal vortex is the dynamics of fictitious force interaction in a state of viscous matter.
Unisonal vortex has a form as void in a steady state of viscous matter.
Unisonal vortex is an entity of material nothingness.
Unisonal vortex is the oneness of its offsprings in a nothingness.
Unisonal vortex is a warped surface.
Unisonal vortex has a fictitious form in vortically stabalized state.
Unisonal vortex has no volume in geometrical reality in its emergence as a warped surface of viscous matter.
Unisonal vortex has no mass.
Unisonal vortex has infinite vorticities.
Unisonal vortex does not really exist physically but its transformable apparent existence in a cyclical manner willl never cease with the potential in nothingness.
Unisonal vortex is a nothingness that begets everything with the characteristics of infinities and infinitesimalities, these characteristics are physically limited.
Unisonal vortex has the tendency of infinite harmonic vortices that would dilate toward infinities and nest toward infinitesimalities, however, this tendency is limited physically.
Unisonal vortex vortically carries vortically consolidated matter for distribution by dilating from the core and consolidation by seeking toward the core.
Unisonal vortex is a fictitious portal that balances built up energy with a circulation process within the viscous matter by tunneling through vacuum vortically.
Unisonal vortex is a universal power generator fictitiously created in physical reality by nature naturally.
Unisonal vortex does work perpetually through conservation of angular momentum with fictitious forces consistently generated from potential in the nothingness.
Unisonal vortex is always potentially optimized with its most complex tendency for its physical shapes.
Unisonal vortex is always potentially reduced to its simplest possible form towards material nothingness in the physical reality.
Unisonal vortex follows the principle of inverse-square law.
Unisonal vortex is homogeneous in a vortical paradigm.
Unisonal vortex has duality characteristics.
Unisonal vortex is mysteriously paradoxical in physical reality.

Note: It has to be clarified that the fictitious form, void and nothingness referred here has no apparent existence within a defined state in physical reality; no space is absolutely void. Based on Universal Vortical Singularity, energy in an all pervasive universal medium is postulated to have transferred through vortical motion from one state that is non-material (by definition, e.g. motion in precession/vibration/wave function), into another state of matter that is perceived to have a physical reality; the laws of conservation of energy prevails in the process and the laws of physics are not violated. This nothingness does not equate to absolute nothing; it is in a defined state for physical reality within its parameters then the nothingness becomes absolute nothing. Our perceptions are always in the circumstances of inherently limited bandwidths that preconceive physical reality that has relevancy within these perceivable bandwidths.

To understand how the effects of torque-induced precession on a suspended spheroid can be resonated on surface of the viscous matter that could thus spawn unisonal vortex in it, try an interactive learning method by doing this gyroscope experiment: Spin a gyroscope and clasp it in your palms, and then gently rotate in circular rocking motion in your palms, the force dynamics of a torque-free precession in this manner can be brought to your cognitive sense. Imagine your hands are viscous matter wrapping around it, then try to feel the motion of propogated waves as dynamic force interactions that could amplify on the surface of lighter density viscous matter (vibrations with counteracting motions acting on your palms), magnify the effects with your imagination if you can. One can mentally grasp the concept for torque-free precession effects through this way and eventually arriving to immersely know the force dynamics in an interactive manner. Hang the gyroscope in suspension by holding the top pivot to see the precession cycle with the rotating axis that rotates in opposite direction of the disc rotation, this can help to understand a complexly inversed rotation of the vortex axis of a suspended vortex in viscous matter that in differential resonance it rotates in opposite direction of the rotating vortex. This is a reversed synchronization of the precession cycle, this reverse precession cycle phenonemon occurs to rotation axis of suspended spheroid such as Earth, and also to the suspended Antarctica Ozone Hole perturbed by the Moon in a torque-induced precession, mechanically acting differentially on suspended structure.

Precession on a gyroscope

Mysterious phenomena in natural science has to be learnt by bringing the subject to a clear transcendental cognitive awareness, one have to be able to vividly imagine it, feel it, participate in it and resonates with it, then becomes oneness with it by immersing into it intellectually and interacts with it to understand it intuitively; the key is to find ways to interact with nature for the subject concerned. Learning by understanding the interactions of natural forces intellectually in mathematical principles merely through reading about it does not suffice.

"Rotating systems exhibit some behavior that appears strange when we apply our intuition, developed for linear motion. The motion of the gyroscope shown here is an example. The silver colored rotor inside the gimbal rings is spinning rapidly about its axis. As we will see, it is the presence of the little weight, hung on one end of the axis of rotation of the spinning rotor, that causes the observed motion about the vertical axis. Our intuition might suggest that the weighted end of the rotor's axis would move down, not go around." - Excerpt from Physics Animations in a section under Mechanics-Unbalanced gyroscope precession. Under certain circumstances, as shown in the animation that simulates precession effect of an imbalanced gyroscope, the weighted end of the rotor's axis is paradoxically lifted up instead. See a detailed explanation (click a tab under theory) for this gyroscopic precession paradox.

Precession effect of an imbalanced gyroscope

Visualization of differential rotation with Foucault's pendulum
At the latitude of Paris, the pendulum's path would complete a full clockwise rotation every 30 hours; on the Southern Hemisphere it would rotate counterclockwise, and on the Equator it wouldn't revolve at all. At the South Pole, as the modern-day scientists confirmed, the period of rotation is 24 hours. Excerpt from Foucault's pendulum by physics-animations.com. See external links on "Foucault's pendulum" and "Differential rotation".

The swing of Foucault's pendulum depends on the way it is set it into motion. If the pendulum is deflected by a maximal angle and then release it without an initial speed, then the pendulum will swing as in this animation. Foucault's pendulum is a scientific proof that Earth revolves on its axis; the floor where an observer stands for having this view on a localized frame of reference is slowly rotating from the perspective of an external frame of reference. The period of rotation is directly related to the latitude of Earth where the pendulum is pivoted; the rotation period is in tune with Earth's rotation at the polar poles, it is longer towards lower latitude of Earth and the rotation effect is practically cancelled when it swings across both hemispheres if the pendulum is pivoted on equator.

Foucault's pendulum in clockwise rotation

"Galileo was the first to examine its unique characteristics. Galileo found that each pendulum has a constant period. The period is the time in which a pendulum completes a single oscillation, i.e., returns to the position it was in at the beginning of the period. For example: The time required for the pendulum to move from its most extreme right position back to that point. The pendulum passes twice through the arc during each period." - Excerpt from "The pendulum".

The above Foucault pendulum simulation demonstrates the oscillation and passes twice through the arc during each period as described in Galileo's pendulum experiment.

The pendulum experiment implies that there has been exchange of momentum. Through conservation of angular momentum the Earth in rotating motion and the suspended pendulum bob precessing in oscillation have exchanged momentum.

The animations on right illustrates two frame of references for the clockwise rotating Foucault's pendulum in northern hemisphere with its rotating period synchronizes with Earth's rotation, in the left panel it illustrates the inertial point of view from an external frame of reference, the right panel is the co-rotating point of view at a localized frame of reference that is respective to the left panel. From the co-rotating point of view in this localized frame of reference that illustrates a clockwise circular path for the Foucault's pendulum motion, the differential rotation of the pendulum on a counter-clockwise rotating Earth that is viewed from above can be visualized. This illustrations solve a cognitive paradox for the oscillating motion of the pendulum in its precession cycle and illustrates a differential rotation.

Animations of a rotating inertia motion in two reference frames

What appears as curvilinear motion in the pendulum oscillation at different phases from one perspective is fundamentally a translation of circular motion as a result of its circumstances.

Frame-dragging effect in Einstein's general relativity was rejected by scientific consensus in favor of Coriolis effect. Gravity Probe-B experiment was still not successful in proving the frame-dragging effect by the time its budget has run out and its plug pulled.

Based on cyclonic gravity field effect of Earth, the bob of the pendulum is subjected to an angular momentum that would cyclonically drive this suspended bob in counter-clockwise direction in northern hemisphere, and clockwise direction in southern hemisphere. This is an immutable qualitative proof for the frame-dragging effect in general relativity.

~ With credit to Mr. Yong Jian-Yi of Singapore Science Centre for his invaluable feedback that have thus led to make a main context more concise, this had led to insertion of a summary section that illustrates unisonal vortex mechanism with a polar vortex that relates the primary forces in a much simpler manner.

~ With thanks to Graham Burnett for posting the animation that illustrates magnetic reconnection, it can also illustrate they force dynamics on how a dual-core unisonal vortex is shaped in viscouss matter in a simplified manner.

5th May 2007

Disclaimers: The above revolutionary discoveries and conjectures based on an unheard-of hypothesis of Universal Vortical Singularity with radical ideas are unconventional, the explorations of the uncharted at fundamental stage might not be thoroughly covered, bound to have shortcomings, loose ends and errors, many details and assumptions have yet to be further researched, probed, evaluated, validated and proven. Many of the explanations forwarded are in informal manners for casual understanding of the topics presented, any term or statement if offensive in any manner or whatsoever is most regretted. Links to other sites do not imply endorsement of their contents; apply appropriate discretion whenever necessary.

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References and links:
Precession - From Wikipedia, the free encyclopedia
Centrifugal force - From Wikipedia, the free encyclopedia
Perceptions - From Wikipedia, the free encyclopedia
Potential density - From Wikipedia, the free encyclopedia
Precession (Astronomy) - From Wikipedia, the free encyclopedia
Vortex - From Wikipedia, the free encyclopedia
Theory of everything - From Wikipedia, the free encyclopedia
Natural science - From Wikipedia, the free encyclopedia
Scientific model - From Wikipedia, the free encyclopedia
Universe - From Wikipedia, the free encyclopedia
Polar Vortex - From Wikipedia, the free encyclopedia
State of matter - From Wikipedia, the free encyclopedia
Plasma - From Wikipedia, the free encyclopedia
Fluid dynamics - From Wikipedia, the free encyclopedia
Dynamic similarity - From Wikipedia, the free encyclopedia
Inverse-square law - From Wikipedia, the free encyclopedia
Orthogonality - From Wikipedia, the free encyclopedia
Rotational frame-dragging effect - From Wikipedia, the free encyclopedia
Turbulence - From Wikipedia, the free encyclopedia
Energy - From Wikipedia, the free encyclopedia
Conservation of energy - From Wikipedia, the free encyclopedia
Gyroscope - From Wikipedia, the free encyclopedia
Frame of reference - From Wikipedia, the free encyclopedia
Centripetal force and its calculator - HyperPhysics
Centripetal force - From Wikipedia, the free encyclopedia
Inertial force or fictitious force - Encyclopædia Britannica
Tidal locking - From Wikipedia, the free encyclopedia
Streamlines - From Wikipedia, the free encyclopedia
Magnetohydrodynamics - From Wikipedia, the free encyclopedia
Inductive reasoning - From Wikipedia, the free encyclopedia
Dynamo effect - Excerpt from the Encyclopedia Britannica
Foucault's pendulum - From Wikipedia, the free encyclopedia
Differential rotation - From Wikipedia, the free encyclopedia
The pendulum - Addrea Exhibition Information Center
Frame-dragging effect - From Wikipedia, the free encyclopedia
General relativity - From Wikipedia, the free encyclopedia
Gravity Probe-B - From Wikipedia, the free encyclopedia
Wobbling spheres animation - ThinkQuest Library
Animation illustration for magnetic reconnection - European Space Agency
Animated Demonstration of Bernoulli's Principle - Mark Mitchell
Animation of Ozone Hole activity - NASA/Goddard Space Flight Center, Scientific Visualization Studio
Animation of Foucault's pendulum and Unbalanced gyroscope precession - physics-animations.com, the animations are used with written consent from Alexander.
Animations of a rotating inertial motion - From Wikipedia, the free encyclopedia
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 corona loops - The Encyclopedia of Astrobiology, Astronomy, and Spaceflight
Image of Galaxy M81- NASA
Image of aurora on satellite vortex- WDC for Aurora National Institute of Polar Research Japan
Image of oceanic whirlpool - Walkersville Middle School Frederick County, Maryland
Image of electron's motion - Credit: Image courtesy of Johan Mauritsson, Lund University
Image of wooden bowl - BeadFx
Graphic image of Earth tilted at an angle - Phoenix Mars Mission
Image of Sun, Moon and Earth - Department of Astronomy University of Massachusetts
Graphic image of Earth's North Pole - Lambert Azimuthal Projections
Image of polar vortex on northern hemisphere - Science Daily
Image of a whirlpool - Arizona State University
Image of X-ray polar sunspot - Nasa; + plus Magazine
Image of polar vortex of Jupiter - NASA
Image of polar vortex of Saturn - Image credit: NASA/JPL/Space Science Institute
Image of polar vortex of Venus - ESA, Venus Express
Image of polar vortex of Uranus - NASA, Voyager 2
Image of Uranus' Ring - NASA HST
Image of hourglass nebula - Phoenix Mars Mission
Image of aurora on polar vortexes - NASA
Image of protoplanetary disk - From Wikipedia, the free encyclopedia
Artist impression of vortex - Really Slick Screensavers