T R U T O N
by Kalman Klim Brattman
Give me the simplest form of matter and motion,
and I will construct, out of them, the world of Nature.
"Give me matter, and I will construct a world out of it."
Immanuel Kant, Kant's Cosmology
("Universal Natural History and Theory Of Heavens")
7. Spin as the Primal Regulator and Tool of Creation
 

The xenofluid (XF) was introduced as being derived from compressing a xenobase (XB) mass. HOW such a compressed XB-mass could be maintained in Prena and HOW, once formed, it can maintain its existence in view of RENO --are questions to be entertained, in here, below. Since the xenofluid (XF) is not a given entity, but is a derived entity created out of the xenobase (XB), it follows that all properties of the xenofluid (XF) must be derived and not be given. Thus, since the XF's properties of characterization are to be derived, and hence transmitted from the xenobase (XB), it follows that our first task is to fully grasp the XB's given properties of characterization, as well as, to understand the rationality for their existence.

 

  On the Foundational Properties Characterizing the Xenobase (XB)  

In TRUTON, the xenobase (XB) represents the absolute "bottom" line of material existence. There is nothing "below" that line from where XB could be derived. Because of that, we say that the xenobase (XB) represents the ultimate state level of matter (USLOM) which is the level of the
ergobase (erB). From that USLOM, it is the aim of TRUTON to build up the entire spectrum of material formations populating Nature. We can talk thus about USLOM as being the ultimate "line" representing the lowest level of material existence.

With that recognition that XB's physical parameters of characterization must reflect XB's USLOM existence, we are ready to recognize these properties for its characterization:

1. XB, by being at the USLOM line, has the lowest non-null material density called the Baselevel density (BALDE).

2. The Base Resistance to Compression (BAREC) property stating that XB has a base level resistance to compression. If a compression takes place beyond that base level of resistance, XB will transform into a new qualitatively state --the xenofluid (XF) state.

Remarks:
.   
i) BAREC is a necessary condition for the xenobase (XB) to exist pursuant to the resistance limit mark of creation (RL-UMOC).
.  ii) BAREC's existence is due to XB's ingrained ergobase (erB).

3. The Unstretchable Base Resistance (UBAR) property stating that the XB is non-stretchable. That property is required because of XB's BALDE.

Remarks:
.   
i) IUBAR implies that a XB-mass cannot be dented upon a hit because its XF-surface is non-stretchable. Thus, two XB-blocks upon collision will deflect without a trace of indentation.
.   ii) UBAR also implies that a XB-surface acts as a natural impenetrable wall.


4. The Impregnable Cohesive Resistance (ICOR) property stating that a XB-mass cannot be broken when pulled appart up to an upper finite limit, called the upper critical limit (UCL), where it disintegrates.

Remark:
.  
By contrast to a XB-mass, a xenovoid (XV) cloud, which also resides at the baseline of Nature (BON), will experience the opposite situation vested in the XV's Zero Cohesive Resistance (ZCOR) which states that XV has no resistance in being broken when pulled apart.


5. The Directional Tensioned Resistance to Compression (DITREC ) property stating that a stretched xenobase (XB) mass, called tensioned xenobase (tXB), will have a directional resistance towards compression that is equal to the strength and opposite in direction to the applied stretching force.

Remarks:
.
    i) Because of the directional characteristic, a radial tensioned XB, for instance, is not tensioned transversely. Because of DITREC, we say that a tXB is modulo directional.
.   ii) In a XB-point that is subject simultaneously to two distinct foreces, such as that of a radial and a transversal force, the net result (or the resultant) is obtained from the well-known Parallelogram Rule (PR) of vector addition.

 

  On the Influence of Body and Contact Forces   
 When Applied on a Xenobase (XB) Mass

All forces in Nature can be grouped into two (2) major categories:
Body forces (BOFs), and
Contact forces (COFs) that could be point or surface forces.

By a body force (BOF), we mean a force that acts on each and every point of the body that is contrasted with the contact force (COF) that is the force that acts at the point or surface of impact between two colliding objects.

Let us note that inertial forces are defined as the forces that carry and implement inertia and, that all inertial forces are body-forces (BOFs). The introduced Principle of Universal Inertia (PUI) stands indeed as inertia's fundamental charactheristic.

Let us further note that an inertial force is a real force indeed and, that it is most unfortunate of the prevailing and misguided current representation and association of inertial forces with being fictitious, apparent, or imaginary entities. You see, Physics and Natural Sciences, in general, do not deal with the study of fictitious, imaginary entities and concepts that our Mind can create, nor does it deals with the study of our perceptions and illussions (physical or imaginary). That study of the Mind or the study of illusions and perceptions are studies completely outside of the realm and scope of Physics and Natural Sciences.

The study of inertial forces as real forces carrying real effects is pivotal indeed in our rational understanding of Nature's modus operandi. As already noted, those inertial forces do not spring from matter, but spring from motion, specifically from a resistance to change an existing state of motion. And that resistance springs from the resistance limit mark of creation (RL-UMOC) stated in the 4th UTPOT. Therefore the origin of inertial forces must reflect that unique characteristic.

On this background of the inertial forces, let us now move on and exmine the newly arrived motion in Prena --the Spin.

 

  On the Spin Forces in Prena  

The primeval hitoforces (hFs) in
Prena, will generate through the collisions of its xenobase (XB) masses, linear inertia (LIN) as derived in PUI. As such we can talk about linear inertial forces (LIFs) that are indeed real forces and not fictitious as currently they are labeled. As already noted, Isaac Newton in his seminal Principia clearly recognized the real nature of those inertial forces that exist in Nature: that of resistance and impulse. The fundamental difference between the hitoforces and the inertial forces is that the former are contact forces while the latter are body forces.

Moving on, we now recognize that the collisions of XB-masses in Prena will generate, asides from the linear translatory (LITRA) bouncing motions resulted from deflections, a new type of motion --the Spin.

Note: Before proceeding any further, let us note that the Spin referred herein is that of a continuous turning or rotation and, as such, it needs not be confused with the degenerated nomenclature employed in Quantum Mechanics nor it needs be confused with an orbital revolution as employed in Classical Mechanics with which needs to be differentiated as noted below. Here in TRUTON, the Spin is always referred as being the rotation upon itself of an object around its own particular axis --an axis that can rotate freely in space, and nothing else.


The apparition of the Spin, as a new type of motion, is most significant indeed as new type of forces associated with the Spin will emerge and, as such, it is our task to recognize and differentiate them.


 Spin As the Creator of the First Primal Object: The Spinoflon 

The Radifugal and Transifugal Forces of the Spin

In the Spin, the counterpart of the linear inertia (LINI) is the rotational inertia (ROTI) that also is a consequence of PUI. We can talk thus about the ROTI forces associated to the Spin. A radial ROTI force called the centrifugal (CF) body-force that increases with the distance from the axis of spin (AOS) is present.
In addition to the existing linear (LIN) and radial (RAD)
corridors, the Spin also generates a transversal (TRANS) corridor. Those three (3) corridors --LIN, RAD, and TRANS-- will generate innate compression-decompression (CODEC) structural grains for the fabric of the compressible xenosubstance (cXS) --the xenobase (XB) and the xenofluid (XF) that will determine their innate behavioral characteristics.

Spin forces residing in the radial (RAD) corridor are called radifugal (RADI) forces while those residing in the TRANS corridor are called transifugal (TRANSI) forces.

In the TRANS corridor, the inertial transifugal (TRANSI) forces that exist are the Euler (EUL) and the Coriollis (CORI) forces.
.

G-G de Coriolis

   • .The Euler (EUL) force, called also the azimuthal or the transverse force and named after Leonhard Euler, that is perpendicular to the centrifugal (CF) force, occurs only in a non-uniform spin of accelerated or decelerated rotation.
   •
.The Coriolis (CORI) force named after Gaspard-Gustave de Coriolis whose effect of deflection is known as the Coriolis effect, on the other hand, occurs only in an uniform constant non-accelerated/decelerated spin.


L. Euler
.

In both above situations, the Euler (EUL) and the Coriolis(CORI) forces are always accompanied by the centrifugal (CF) force whose strength continually increases with the distance from the axis of spin (AOS).


In the
radial (RAD) corridor where the radifugal inertial (RADI) forces operate, the noted centrifugal (CF) force, in a spinning material environment, will generate an opposing force of resistance, called centripetal (CP) force, pursuant to RETOC. That CP-force creates the necessary force, and thus the necessary condition, for the Spin to be able to be sustained permanently.

A rather complex picture of the forces of the Spin begins to emerge as diagramed below
Primary Types of Forces Generated by the Spin:
  • Radial (RAD): Radial movement
    with its radifugal (RADI) forces --the centrifugal (CF) and the centripetal (CP) forces.

  • Transversal (TRANS): Transversal movement
    with its transifugal (TRANSI) forces --the Euler (EUL) and the Coriolis (CORI) forces.

Innate CODEC Characteristics Ingrained by the Spin

whose net effect provides

.The First Fundamental Universal Theorem Of Spin (1st FUTOS)

A solid xenobase (XB) mass upon acquiring a Spin in Prena, will transform into a new entity called spinoflon (sFL) whose shape is an oblate spheroid and, whose XB axis of spin (AOS) is surrounded by a permanent structured transifugal xenofluid (XF) mass whose density increases gradually and concentrically outwards from the AOS.


Proof:

As the XB-mass, at rest or in a linear translatory motion (LITRA), begins to spin, two inertial players are immediately being formed:
  • the radial Centrifugal (CF) force, and
  • the transversal Euler (EUL) force.

Those two inertial body-forces (CF and EUL) will generate, by the Parallelogram Rule (PR), a slanted transversal resultant body-force called the slantifugal (SF) force. We call that phase, where the resultant SF-force exerts its inertial body-influence on the spinning XB-mass, the nano phase or stage.


!
PASS WITH
 MUCH CARE 

  .


The two stated inertial body-forces (
CF and EUL) that are being generated concomitantly in the nano phase will generate, as stated, the resultant SF-force. That SF body-force created is capable of compressing transversely the spinning XB-mass due to the existence of the Euler (EUL) force. Indeed, while the XB-mass cannot be compressed radially through the CF-force due to XB's non-stretchable property --the UBAR, the XB-mass can be compressed transversely, as in an open accordion that begins to close-in on one-side, by the influence of the EUL-force.

That transversal compression of the EUL-force is being combined with the concomitant existence of the CF-force resulting, by the Parallelogram Rule (PR), in the slanted SF-force. And because of the slanted nature of the SF-force, the transversal compression of the XB-mass, regardless of its original shape, will result in the creation of a xenofluid (XF) mass whose shape will end up being transformed into a prolate spheroid (called also prolate ellipsoid of rotation, figure at left).

To recognize the formation of a prolate ellipsoid in this primal phase --the nano phase, we need first to recognize that the strength of the two components of the SF-force (CF and EUL) increase quite differently with the distance r from the axis of spin (AOS). And for those that are mathematically inclined, the centrifugal (CF) and Euler (EUL) accelerations associated with those two body-forces are proven to be markedly different as follows:
(1)    aCF 2 r, where is the angular velocity, and
(2)    aE = -d/dt x r,

 where "x" is the cross product operator and is the angular velocity of rotation with r being the vector of the point where the acceleration is being measured relative to the axis of spin (AOS). The minus sign is placed to reflect that the direction of the Euler force is opposite to the direction of the Spin's rotation.


Because of XF's
RECO-force of resistance, that is the centripetal force (CP) of the spinning mass resulted from RENO, the compression of the newly created XF cannot continue indefinitely. And that is because a balance, called xenobalance (XEBA), will be formed where the compressional body-force created is being stopped by XF's RECO-force of resistance, i.e., by the centripetal force (CP), that increases with the increase of XF's density. [In the mathematical jargon of differential equations, a XEBA point is an equilibrium point that is the constant solution to the differential equation that the slantifugal (SF) force with the opposing XF's RECO-force of resistance will generate.]

The XEBA created in the nano phase will be formed in each and every point of the created XF being a balance between the outward SF-force and the XF's force of resistance --the RECO. With that equilibrium in place, the ascending spin has leveled down to a constant steady speed of rotation marking the end of the nano stage.

Due to the Spin's constant steady speed of rotation that now it has reached, the transversal Euler (EUL) inertial force ceases its existence. A new permanent phase or stage takes place, called the perma phase or stage, whose permanency is going to be assured by the creation of a new, permanent XEBA to be identified below.

The opening that is left by the disappearance of the Euler (EUL) force is immediately occupied by the other inertial transversal player from the transifugal (TRANSI) "operators" --the transversal inertial Coriolis deflection whose emergence is the direct result of the rotational inertia (ROTI). That Coriolis deflection is generating in fact an added mechanical slanted transversal compression for the newly created XF-mass.

The strength of the Coriolis compression is no longer function of the distance r from the AOS being now only function of the speed of the Spin as seen below***. Because of that constancy of the Coriolis effect, the only variable left is that of the growing centrifugal (CF) force with distance from AOS.

Thus, in the new perma phase, its XEBA represents the balance between the growing with distance from AOS of the outward centrifugal (CF) force and the countering XF's force of resistance (RECO). Now, as a result of that new equilibrium, the prolate spheroid formed in the nano phase will be transformed into an oblate spheroid (figure at left) in this new, ultimate perma phase.

(*** To see that the Coriolis effect does not depend of the distance from the AOS, we need to see that the Coriolis acceleration is not function of the distance from the AOS.)

[Again, for those mathematically inclined, it can be proved that
the Coriolis acceleration
ac is ac= -2X v, with v being the velocity of a XF-particle in the rotating body, and being the angular velocity vector. The "X", as before, is the cross product operator.]


The permanent ultimate picture created is now complete. The result is the creation of a new entity that permanently spins, called spinoflon (sFL), whose xenobase AOS is surrounded by a gradal structured XF-mass whose density increases with the increase of distance from the AOS. That newly formed entity that is in the form of a sphere, the
spinoflon (sFL), represents indeed the very first permanent creation of a primeval XB-mass.

QED. 

.


On the Xenosubstance's Structural Grains of its Fabric

From the 1st FUTOS, we have seen that the fabric of the environmental xenofluid (eXF) is of a TRANSI grain derived from its corresponding CODEC characteristic of its formation.

Asides from the CODEC characteristics generated by the Spin, we have noted that the xenobase (XB), xenofluid (XF), and hence xenorigid (XR), can be formed from a linear (LIN) CODEC generated from an up-and-down movement.

The three type of CODEC (LIN, RAD, and TRANS) that the xenosubstance (XS) can have is indeed a most subtle recognition. The radifugal (RADI) and transifugal (TRANSI) grains of XS that result from CODEC will play a pivotal role in understanding the modus operandi of Nature.

Fundamental Remark on RENO:
.With the recognition of CODEC, we now recognize that RENO operates on three (3) distinct platforms: the linear (LIN), the radial (RADI, and the transversal (TRANS). Thus, now we can talk about the linear RENO, the radifugal RENO, and the transifugal RENO.



.Fundamental Remark: 
On the nature of the centripetal (CP) force
in a Spin
versus in an Orbital Motion

In an orbital circular motion, the centripetal (CP) force FCP is always an external physical force such as the force of gravity in a planetary system. In the spinning of a mass, however, we have the reverse situation: now, the CP-force is no longer an external force, but is an internal force of resistance springing from RETOC. This distinction and differentiation is paramount indeed and, as seen below, this lack of understanding and differentiation together with other related issue on the circular motion has tormented the great physicist Heinrich Hertz for quite some time.


Historical Note

It is perhaps of interest to note the comments made by Heinrich Hertz in the Introduction of his 1899 posthumous book "The Principles of Mechanics" zooming on his strong critique, now all but forgotten, on the lack of clarity of the force concept, on pseudo-forces in general, and that of centrifugal/centripetal force, in particular, as well as on Newton's Third Law of Motion (acton vs. equal reaction):

" We swing in a circle a stone tied to a string, and in so doing we are conscious of exerting a force upon a stone. This force constantly deflects the stone from its straight path. If we vary the force, the mass of the stone, and the length of the string, we find that the actual motion of the stone is always in accordance with Newton's second law.

But now the [Newton's] third law requires an opposing force to the force exerted by the hand upon the stone. With regard to this opposing force the usual explanation is that the stone reacts upon the hand in consequence of centrifugal force, and that this centrifugal force is in fact exactly equal and opposite to that which we exert.

Now is this mode of expression permissible? Is what we call centrifugal force anything else than the inertia of the stone? Can we, without destroying the clearness of our concepts, take the effect of inertia twice into account --firstly as mass, secondly as force?...

... Can we behave as if we had already asserted anything about forces of this kind in our laws, as if by calling them forces we could invest them with the properties of forces?...

...The only possible explanation is that, properly speaking centrifugal force is not a force at all. Its name like the name vis viva, is accepted as historic tradition; it is convenient to retain it, although we should rather apologize for its retention than endeavor to justify it.

But, what now becomes of the demands of the [Newton's] third law, which requires a force exerted by the inert stone upon the hand, and which can only be satisfied by an actual force, not a mere name?"

The Principles of Mechanics
Presented in a New Form
by Heinrich Hertz
Dover Publications, 1956, pp. 5-6.


The derived spinoflon (sFL), resulted from the existence of the Spin, represents indeed the very first act of creation and, as such, we want now to take a closer at the Spin --this primal tool of creation.
 


 
 
On the Spin as the Primal Tool of Creation  


PASS
WITH
MUCH
CARE

  

The
1st FUTOS establishes that the Spin, and nothing else, is able to transform a XB-mass into a permanent XF-mass which thus, it represents the very first act of creation in Nature. As long as there is a Spin whose magnitude will not exceed a certain finite upper limit, called the critical spin (cS), the state of the XF-mass will be able to be preserved. When the critical spin (cS) is being achieved, the Spin plays now the role of a total destroyer and the creator of a residual XB-dust called xenodust (XD).

The xenofluid (XF) mass created by the Spin represents a new qualitative medium of Nature and, as such, that primal creation of the Spin is foundational in nature. Now, since all that transformation from xenobase (XB) to xenofluid (XF) happens in Prena which is the generator of the embryonal Nature, it follows that the Spin is indeed the primary tool of Creation in Nature. We mark that truly astonishing finding and recognition into

.

The Twelfth Universal Transcendental Principle Of TRUTON (12th UTPOT)
Spin as the Fundamental Tool of Creation

The Spin, as the primal tool of Creation, must be responsible for the shaping-up of all natural formations in Nature.

Asides from creating a new qualitative material medium of Nature, the recognition that the Spin must be responsible for shaping-up the entire Nature is truly monumental. As we look around, "up" into the cosmos or "down" into the atom and below, we see that everything, without exception, spins! Wow!

It is as if somehow all objects of Nature would tell us:
   We are here because of the Spin!
   We are, in the way that we are, because of the Spin!


To the spinoflons (sFLs) introduced above in the
1st FUTOS, we can associate now these results:
The Second Fundamental Universal Theorem Of Spin (2nd FUTOS):
Matter's Evolutionary Theorem of Spin (METOS)

The spin of the spinoflon can never decrease in magnitude.


Proof:

The proof of this theorem springs from the fact that with each collision, a spinoflon can only increase the magnitude of its spin. And that is because of these two (2) observations:
. 1) that the axis of spin (AOS) is not fixed in space and, as such, with each additional collision the AOS of the spinoflon will be able to move and rotate freely in any direction. And,
. 2) that a rotation of 180º of the AOS amounts to a reversal in the direction of the spin.

QED.           

Historical/Mythological Note: In Greek mythology, METOS (the goddess of wisdom) was the first wife of ZEUS --the Greek Supreme God! [sic!]

.

The First Corollary to METOS: The Critical Spin
All spinoflons can have a maximum constant magnitude of the Spin, beyond which they will perish.

The proof of this Corollary is straightforward, as with each increase of the Spin, the spinoflons will increase their material density until they will reach their maximum attainable density, called the critical density (cD), of the xenorigid (XR) state. Once there, upon additional increases of the Spin, there will be a moment when their centripetal force will be able to break-up and rupture their xenorigid (XR) masses ending thus the life of the spinoflon. At the break-up, we say that the spinoflon has reached its critical spin (cS). As the spinoflons breaks-up, its flying parts will disperse into the space.

QED. 

The Second
Corollary to METOS: Spin as the Ultimate Terminator
All spinoflons have a finite existence.

.

For the proof of this Corollary, we use the classical method employed in Mathematics called in Latin "Reductio ad Absurdum" ('Reduction to the Absurd' or 'Proof by Contradiction') that we have already used before.
.Let's assume then that there is a spinoflon of infinite existence. That would imply that the respective spinoflon, by repeatedly increasing its spin, will be able to exceed the critical spin (cS) --an absurdity, of course, by the 1st Corollary to METOS above.

QED. 


We continue now with this page by making these additional observations with respect to the Spin's fundamental role in shaping up Nature.

 


   Spin as the Ultimate Regulator of Capping or Fencing the Evolution's Ascension   

From the above succinct presentation of spinoflons, we were able to see the emergence of a most remarkable dual property of the Spin:
  • that of being the primal underlying tool of creation and,
  • that of being the ultimate destroyer of unlimited ascension of evolution.

That dual opposite roles of the Spin --that of the primeval creator and as the ultimate destroyer --is truly astonishing. Because of that stunning duality, we call the Spin as being the primal ultimate regulator of Nature (PURON).

If we define brute matter (bM) as being the admixture of xenobase (XB) and xenovoid (XV) and write this as bM={XBXV}, then it follows that bM is the immediate successor of prematter ( pM) i.e., pM={XBVO} and is the precursor or forerunner of matter (M), i.e., M={cXBXV}.

With the introduction of the brute matter (bM) concept, we are able to "see" now --through PURON-- the fundamental role that Spin has in the regulation of matter's ultimate rejuvenation cycle that is vested in the perpetual creation of "new" matter out of the brute matter (bM) that is being continuously replenished from the disintegration of the "old" matter. The fact that the Spin is able ultimately to destroy what it has created is most remarkable indeed as that establishes the underlying cyclical foundation upon which Nature operates. The mediator of all this is the Collision --the ultimate master of creation (MAC) responsible, as well, for the creation of the Spin, in the first place.

We call that ultimate perpetual cycle of Nature produced by the Spin, the grand ultimate everlasting cycle (GUEC) of Nature. The primeval XB-blocks of Prena gliding in space are indeed part of that GUEC. We mark that fundamental recognition into

The Thirteenth Universal Transcendental Principle Of TRUTON (13th UTPOT):
The Spin as the Ultimate Evolutionary Regulator of Nature

The Spin is not only the primal tool of starting evolution, but also is its ultimate regulator putting a cap or a fence of how far the evolution can grow and ascend. That is to say that the Spin ultimately would pave the way for evolution to stay confined or fenced and not be allowed to ascend indefinitely. That cap, called uplevel cap (upC), is being achieved through an evolutionary self-destruction process of the entire ascended evolved matter, at the point or stage of evolution, when and where the Spin's magnitude is so great that it can no longer be supported or maintained by the created object.


The Spin, as the foundational tool of creation and regulator of Nature, brings to the fore the concept of evolution --a subject that forms now our next page. So, if you are ready to continue, let us move on.
.

      

Kalman Klim Brattman