Compactified Symplectic Superstring Of Discrete Energy Permittivity

 When a given arbitrary Noether-Based symplectic superstring of discrete energy permittivity, is to work to bear a spatial compactification, it will consequently have the general tendency, of spontaneously resulting in working to bear, a relatively greater local density, of a covariant core-field-density. Furthermore; When a given arbitrary Noether-Based symplectic superstring of discrete energy permittivity, is to work to bear a spatial de-compactification (a.k.a. -- the inverse of a spatial compactification), it will consequently have the general tendency, of spontaneously resulting in working to bear, a relatively lower local density, of a covariant core-field-density. UNTIL NEXT TIME! (1989). SAMUEL DAVID ROACH. I WILL CONTINUE WITH THE SUSPENSE LATER! 

Dimensional Compactification And Lowered Charge

Since when a mass-bearing orbifold eigenset is to bear basically the same tendency of motion, -- except for the general attribute, in which there is to be a situation, that is appertaining to the manner in which there is here to be a change in the set of physical conditions, that is here to be most directly associated with a dimensional compactification in the metric-related gauging of such a cohesive set of discrete energy quanta, -- to where such a change in the physical conditions of the behavior of this said cohesive set of discrete energy quanta, is to result in the tendency of a decreased scalar amplitude in the rate of the perturbation of its directly associated Chern-Simons Invariants -- that, this will consequently tend to reverse-fractal into the covariant proximal local decrease in the scalar magnitude of the charge, that such an inferred orbifold eigenset will then ensue to be exhibiting. To Be Continued! Sincerely, Samuel David Roach.

Decompactification Versus Compactification

What I term of as being decompactification, is the inverse of the process of what is known of as being compactification.  So; when a phenomenology is to be of a similar but different nature, yet, to where, it is to alter into having either Less spatial dimensions and/or involving Less correlative directorals, this is the general process of a dimensional/directoral-related Compactification; yet, when a phenomenology is to be of a similar but different nature, yet, to where, it is to alter into having either More spatial dimensions and/or More correlative directorals, this is what I term of as being the general process of a dimensional/directoral-related Decompactification. Sam Roach.

Some Interesting Stuff About The Beti Number

The Beti number is the Hodge-Index, as to either the net decrease or the net increase in the number of spatial dimensions, that a superstring is to respectively either compactify into or decompactify into -- over the course of the so-eluded-to translation of the said superstring -- as it is to be undergoing one of a multiplicit array of iterations of instanton.  A superstring is to tend to always bear a tense of a relatively momentary compacification of dimensionality, right before its correlative iteration of BRST -- while such a superstring is to tend to always bear a tense of a relatively momentary decompactification of dimensionality, during its correlative iteration of the Regge Action.  The Beti number is always a positive integer for the scalar amplitude of the decrease in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have decreased by when it is compactified.  The Beti number is always a negative integer for the scalar amplitude of the increase in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have increased by when it is decompactified.  This tends to be the case, when a superstring is altering in the number of spatial dimensions that is it here to exhibit -- as a Hamiltonian operator of Noether Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Dimensional Compactification And Twining

The higher the dimensional compactification that is here to happen to a superstring of discrete energy permittivity over time is to be, the lower that the correlative scalar amplitude of the correlative knotting that is here to tend to happen to the directly corresponding cohomological eigenstates and the directly corresponding cohomological eigenindices over that said reference frame of time.  Furthermore -- the lower the dimensional compactification is here to happen to a superstring of discrete energy permittivity over time is to be, the higher that the correlative scalar amplitude of the correlative knotting that is here to tend to happen to the directly corresponding cohomological eigenstates and the directly corresponding cohomological eigenindices over that said reference frame of time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

First Discussion As to Flow Of Partition-Related Discrepancies

The higher that the Beti number is, during a dimensional compactification, of which is to here to happen right before any one given arbitrary iteration of BRST -- the more partition-related discrepancies will tend to flow out of or diverge from a correlative superstring just before the said iteration of BRST.  Furthermore, -- the higher that the absolute value of the Beti number is, during a dimensional decompactification, which is here to happen during any one iteration of the Regge Action -- the more partition-related discrepancies will tend to flow into or converge upon a correlative superstring, during the so-stated iteration of the Regge Action.  Compactification of dimensions tends to work to involve a tangential flow of exchanged homotopic residue, whereas, decompactification of dimensions tends to work to involve a cotangent-related flow of exchanged homotopic residue. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach. 

Left-Out Material From Course 5 Part One

Real odd counting numbers that mean more than just unitization or autonomy start at three.  In order for the basis of the globalization to exist, there must be three dimensions.  All physical dimensionality involves the basis of the existence of three dimensions when taken directly. (Other dimensions are wrapped up in it or travels through it as point particles recycle, which happens in the Planck Time.)  Why does physicality have three dimensions?  The basis of constant change is the shuffling of three things.  Better than juggling, think of pencils.  One is red, one is white, and one is blue.  Shuffle these.  Now its white, blue, and red.  Shuffle again.  Now its blue, red, and white.  I arbitrarily chose right to left.  Counterclockwise unscrews, or brings reality toward its observer.  So, point commutators flow from right to left and not left to right for forward moving time particles.  Constant change forces life to learn.  The basis of instant change is the basis of Organized Learning.  In order for points to be points with discrepancies, constant compactified change must happen within a region small enough to where the translocation of its indices changes the operand of its surroundings.  So, if a point is really a point, the region around it will exhibit a field.  If the field exists, there will be kinematic association.  No lie.  A first-ordered point particle is a density of redistributed space that effects the area where it differentiates.  As the point translocates, the ends of its condensed oscillation that comprise its make up uncurl a little because of the fields of other points acting upon it, and the point prepares to interface.  What are these fields?  Energy is everywhere.  Energy and space are interchangeable.  Point energy is dense energy that is compactified.  When a magnetic and an electric field are formed, ripples in the energy between points forms a wrinkle in space-time fabric.  These wrinkles act like hands that move to try to untie the ends of the strings at the ends of points.  These oscillating wrinkles of space-time fabric are fields or field eigenstates.  When these field eigenstates are kerneled to a specific tangent of the norm operator of one of these string ends, the associated  point particle is compactified.  If enough of these field eigenstates are kerneled as such, then the point end is pulled into the operand of space that is not as dense.  (This is because first-ordered-point-particles that are compactified and quantized form a Fourier differentiation with the vacuum that these are surrounded by on account of the fact that phenomena tends to move in the direction of least perturbation.)  When the extent of continued pull brings two point ends to touch each other, then these come into contact, and touch for a brief metric.  As soon as the point ends curl around each other into a hooked normalcy, then the point ends pull each other straight, and skip off of each other.  This is since the elasticity of point ends has complete normalcy to all others that these come into contact with as these exhibit some sort of attraction that bends them like a supplemental compliment.  (Normal line).
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.
I took this from another string theory blog that I have.

More As To The Nature Of Fadeev-Popov-Trace Eigenstate Composition

The relative tense of the non-Lorentz-related compactification of mini-stringular segmentation, that is of any given arbitrary Fadeev-Popov-Trace eigenstate, is to bear a scalar amplitude of being of a factor of five away from being fully compactified at the beginning of BRST.  Such a lack of compactification, works to allow for the feeding-in of mini-stringular segmentation -- as is it is to ever be necessary.  Such an eigenstate of this general  genus of trace, is to be virtually closed at each endpoint.  The correlative Fadeev-Popov-Trace eigenstate, that is correlative to a one-dimensional superstring of discrete energy permittivity, is to bear five second-order light-cone-gauge eigenstates, that are here to be inter-woven with the correlative superstring, whereas, the correlative Fadeev-Popov-Trace eigenstate that is correlative to a two-dimensional superstring of discrete energy permittivity, is to bear ten second-order light-cone-gauge eigenstates, -- that are inter-woven with the correlative superstring.  This is not to be confused with the Ward-Cauchy-based condition, that any Calabi-Yau state will tend to move through between four and 32 spatial dimensions plus time -- per each ensuing successive series of group-related instanton.  A typical  superstring of discrete energy permittivity that is not of a hook-like string, will tend to iterate at BRST, -- in a tense of what is to act as being of either one or two spatial dimensions plus time.  Yet, over the course of both the ending portion of instanton, as well as during the generally unnoticed duration of Ultimon Flow, -- any respective superstring will be moving through a Hamiltonian operand, that will here work to include multiple ulterior spatial dimensions besides the generally related ones that I have just eluded to.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Three of the Interim Between Course 17 and Course 18

The condition of the recycling of ground-states converting into norm-states and vice-versa works to cause a flow of the directly corresponding indices -- these indices of which move in such a manner in so as to reach a relative center-state, which localizes toward the activity of that permittivity which exists as to where the correlative ground-states are most prime.  Meanwhile, the correlative norm-state-based associations work to cause Real-based first-ordered point particles to be over half of being fully compactified -- while at the same general genus of metric, working to make the correlative Fock-based states to be less than half of being fully compactified.  This is because the directly associated covariant differential geometries that work to correlate the so-stated ground-states with the so-stated norm-states works to allow for a more "ionic" distribuation of condensed oscillation, -- even though any viable wave distribution must bear a certain level of quantum-based state of conservation, over the course of space and time.  This works to make a condition of indistinguishable replacement, as to the conformally invariant manner of the maintanence of those ground-based states that work to comprise any give arbitrary superstring of discrete energy permittivity.  This process of the recycling of ground and norm states -- the one general genus of state to the other and vice-versa, pertpetually -- works to involve from one relatively Real-based state to many Fock-based states, to vice versa, over the eigenbase of certain of those gauge-metrics that are most activated over the generally reiterative metrical-based activities that happen during the generally unnoticed durations of Ultimon Flow.  This acts as if a given arbitrary respective set of substringular globalizations were to be exerted upon the directly corresponding net field impulse range -- and thus, part of the reason as to why I call a layer of reality that is to exist from within a set of parallel universes as being termed of as a tori-sector-range.  I will continue with the suspense later!  To be Continued!  Sincerely, Sam.

A Little Bit Of Extra About Point Particles

First-Ordered-Point particles, of which may be considered as nodes of relatively compactified condensed oscillation, are comprised of mini-string that is consolidated into fairly spherical configurations that interconnect -- in the case of those said point particles that comprise superstrings -- to form the holonomic delineations that work to form the corresponding superstrings that I just mentioned.  First-Ordered-Point-Particles also work to form the norm-states that act as either: the basis of norm-projections that operate as a phenomena that either forms or breaks down ghost anomalies, the basis of norm-projections that operate in so as to either cause or end certain Yakawa Couplings, or, these work to act as point commutators that act as a guidance operator that helps in the called for format of the motion of superstrings, so that corresponding superstrings may be fascillitated to move through Ultimon Flow to the next redistributions that are necessary for the needed redelineations of the said superstrings.  Yet, all of material stratum is mostly Fock instead of directly first-ordered superstrings.  The condensed oscillations of superstrings, when one considers the compactified condition of the directly corresponding compactified mini-string that works to form the corresponding first-ordered-point-particles, bears a conicenter whose relative Laplacian placement -- given the same Lagrangian-basis of mapping polarization -- varies as to where such a center of the related coniaxial is distributed.  This is because the condition of the distribution of the compactification of any given arbitrary superstring is just about always going to vary, since the manner in which the related compacifications are contoured in a topological tense will always bear topological sways that tend to bear a sub-topological tensoric surface area arrangement that will not be perfectly based on a flush spherical compactification basis.  The central volume of the mentioned nodes, and the "wave" portion that may be refferenced as the De Broglie basis to the corresponding pointal phenomena that are here the said first-ordered-point-particles, are mini-string segments that are basically never completely compacified in terms of the tautness of the directly related condensed oscillation that comprises any said first-ordered-point-particle.  The locus of the related condensed oscillation of superstrings is smaller, in terms of the Hodge Volume of the mini-string that comprises first-ordered-point-particles, for said nodes, when these are undergoing the Imaginary Time duration of Ultimon Flow than when the said superstrings are undergoing instanton.  This is due to the condition of the ebbing of mini-string that happens to those point-particles that most directly integrate to form superstrings that must happen in order for condensed oscillation to be able to exchange and interchange the holonomic phenomena of its topological substrate in order for superstrings to codifferentiate with other superstrings over any prolonged Fourier Transformation.  The said nodes then re-obtain the appropriate fractal modulae by the ensuing instantons via the ebbing back, in an indistinguishably different manner, of that condensed oscillation that works to make the appropriate tenses of those first-ordered-point-particles that work to integrate physically to form the redelineation of the correspnding superstrings.  The resultant re-compactification works to refill the related nodes, via their conicenters, in such a manner in so that the Laplacin placement -- given the same Lagrangian-basis of mapping polarization -- works to help organize both the future operations of the said superstrings, the condition of the vibrations of the corresponding superstrings, as well as working to help determing the conditions that lead to the potentail orientation, or, lack of orientation, of the corresponding superstrings.  As the superstrings recycle via the recycling of the indistinguishable differences in the holonomic substrate of those condensed oscillations that work to form those point particles that most directly form the related superstrings, there is always some ebbing to and fro that works to pull in and pull out mini-string segments so that mini-string, or, so that substringular fields, may be able to interact so that superstrings may interact.  I will continue with the suspense later!
Sincerely, Samuel David Roach.

Test One of Course Five (5)

1) If two masses differ in compactification, these masses differ in the amount of space that exists in-between the core densities of the masses considered individually while then being compared.


                      
2) If two masses of the same volume differ in compactification, then one mass has more spaces in-between its core densities than the other.

3) When an umbrella is open, it is relatively uncompacitfied. When an umbrella is shut, it is relatively compactified.

4) The empty spaces in-between the fabric of a quilt shows a degree of a lack of compactification in the said quilt.

5) When space is composed of a mass, kinetic energy, or an electromagnetic energy, when composed of discrete phenomena, it is an overt thing. When space is empty, it is nothing.

6) Differentiating space forms energy when it differentiates over time in a kinematic directoralization. Energy in static equilibrium is matter. Matter with relatively little empty space is relatively compactified.

7) A point particle that is first-ordered is like a ball of yarn because it consists of intertwined mini-string.

8) Point particles that are first-ordered that are unfrayed are all interconnected via mini-string during instanton, just as balls of yarn in a hoop may all directly or indirectly interconnect via the ends of these balls of yarn interconnecting.

9) All first-ordered point particles interconnect via the transit of Ultimon Flow.

10) The spin and roll of first-ordered point particles causes the emission of mini-string. The emission of mini-string interconnects the said point particles Such spin and roll also makes the said point particles kinematic. The kinematic interconnection of such particles tug these phenomena along the Ultimon, thus causing Ultimon Flow.

11) Spin and roll are related to magnetic field.

12) The drive in a direction of a point is related to angular momentum, and produces the sub-basis of electric field.

13) A Yakawa Coupling is the touch, rub, and curl of substringular phenomena upon each other.                 

Solutions To Last Test Of Course 5

 Hello there World,  this is Sam Roach here!  Here are the solutions to yesterday's test.

1)  The bringing together of mini-string to allow for the tight regions of substringular fields that form the first-ordered point particles of superstrings is a substringular example o a compactification that involves Yakawa Couplngs.  This is because the exterial Gliossi touch of mini-string activity here causes such a condition of compactification.

2)  Humans touching life forms, people holding onto a writing utensil, and people rubbing their foot on the floor are reverse fractored metaphorical examples of "Yakawa Couplings."

3)  Trash being smushed in a trash compactor is a good example of compactification.  The elimination of the spaces in-between the stough here that is smushed, to where the overall said stough takes up less space, is the process of an arbitrary example of compactification.

4)  Waves may become color indirectly via Imaginary Tangency.  Imaginary Tangency is touch that involves four or more dimensions that thus involves freedom of motion that utilizes 4piI degrees of freedom of motion or more in terms of the process of certain subatomic touch, rub, and curl.

5)  Light "catches" strings via the inter-relation of the Bases of Light with their corresponding superstrings during the sub-metric that comes right before instanton-quaternionic-field-impulse-mode.

6)  Right after homotopy begins to almost break at the end of what I call the "space-hole", the substringular encoder potentials of each tori-sector-range "mold" to form the holomorphic entity of one substringular encoder that exists during the Laplacian Condition of one instanton to allow for the relationship of superstrings with their corresponding mini-bases during instanton.  The metric in which mini-bases and their related superstrings spread to their proper delineations forms the said ripples, which may be described via the mapping of the fifteen categories of ghost anomalies that arbitrarily exist per instanton.
                          
I hope that you did well!  What makes a correct solution may vary, in so long as the concepts are right.
Sincerely,
Sam.

Test Questions To Last Test Of Course 5

1)  Give two substringular examples of Yakawa Couplings.

2)  Give some reverse-fractored human examples that associate with the idea of Yakawa Couplings.

3)  Give a good example of compactification.  Explain the compactification here.

4)  How may waves interact to become color?

5)  How does light "catch" superstrings?
     
6)  Explain instanton-quaternionic-field-impulse ripples.

Solutions To Test One Of Course # Five

1) If two masses differ in compactification, these masses differ in the amount of space that exists in-between the core densities of the masses considered individually while then being compared.

2) If two masses of the same volume differ in compactification, then one mass has more spaces in-between its core densities than the other.

3) When an umbrella is open, it is relatively uncompacitfied. When an umbrella is shut, it is relatively compactified.

4) The empty spaces in-between the fabric of a quilt shows a degree of a lack of compactification in the said quilt.

5) When space is composed of a mass, kinetic energy, or an electromagnetic energy, when composed of discrete phenomena, it is an overt thing. When space is empty, it is nothing.

6) Differentiating space forms energy when it differentiates over time in a kinematic directoralization. Energy in static equilibrium is matter. Matter with relatively little empty space is relatively compactified.

7) A point particle that is first-ordered is like a ball of yarn because it consists of intertwined mini-string.

8) Point particles that are first-ordered that are unfrayed are all interconnected via mini-string during instanton, just as balls of yarn in a hoop may all directly or indirectly interconnect via the ends of these balls of yarn interconnecting.

9) All first-ordered point particles interconnect via the transit of Ultimon Flow.

10) The spin and roll of first-ordered point particles causes the emission of mini-string. The emission of mini-string interconnects the said point particles Such spin and roll also makes the said point particles kinematic. The kinematic interconnection of such particles tug these phenomena along the Ultimon, thus causing Ultimon Flow.

11) Spin and roll are related to magnetic field.

12) The drive in a direction of a point is related to angular momentum, and produces the sub-basis of electric field.

13) A Yakawa Coupling is the touch, rub, and curl of substringular phenomena upon each other.

Course 5 On Compactification And Yakawa Coupllings, Session Four, Part One

Yarn. A bunch of string that is used to make fabric. A ball of yarn. A bunch of yarn that is rolled up into a closely knit whole. I am using an analogy to help describe certain concepts in string theory. What happens when you untie the yarn and toss it? Not only does the yarn scatter, yet it also spreads out and becomes disorganized (implied by scatter). Compact. Do you remember what I said it means? Squished. (Implied). Which is more compact, a ball of yarn, or a scattered quantity of yarn? A ball of yarn is. Take the end of a ball of yarn. Move it in a direction away from the ball. What happens? The ball of yarn gets smaller and the yarn from the ball is taken to a place where if you think about it, it could be shared with more yarn. If you remember, this type of movement is called a distribution or a redistribution. What if you had many balls of yarn that were placed in a region. These balls were near each other. One end of each ball was moved away from each respective ball. Each of these ends of yarn were to interact (touch, rub, and curl around) with other ends of yarn that were recently moved away from their respective balls. Each ball of yarn mentioned moves in a common general direction. (There may be slight changes in direction of balls of yarn relative to each other, yet each ball of yarn ends up moving in what ends up being the same whole direction). The balls of yarn go together in a circle as a unit. After the set of balls of yarn complete going in a group rotation, (What I mean here by rotation is like a group of cars going all around a racetrack), each ball of yarn ends up interacting (touching, rubbing, and curling around) with each other ball of yarn in terms of the ends of yarn that were loosened from the given balls of yarn as was described earlier. This shows in words metaphorically that after one complete cycle of balls of yarn going around a hoop of curvature, each ball of yarn has in effect interacted (touched, rubbed, and curled around, here, in terms of the ends of yarn from each ball of yarn brought outward from the balls) with each each of the other balls of yarn existent in the hoop that I just mentioned. (Existent means here that each ball of yarn mentioned is in the hoop.). As the balls of yarn rotate as a group around the given hoop (as cars rotate around a racetrack), the balls of yarn also spin and roll. What is spin? Place a small ball on your finger and twist it. The twisting action you see is called spin. What is roll? Toss a bowling ball down a bowling alley. The twisting action you see is called roll. I will continue with the suspense of this session later. I hope that you are learning from my ideas on string theory. Please be patient with my analogies. I am trying to use metaphors and similes to bring my concepts down to earth for the average reader. When I get a router that works, I will be on the Internet often enough to answer the comments that are given to me. Until later, you have a phenomenal day!
Sincerely,
Sam.

Course 5 on Compactification And Yakawa Couplings, Session Three, Part Two(2)

Compactification is a process. A process is a happening. A happening is an occurrence that involves energy. Energy is made up of vibrations. Vibrations, as said above, are mode up of waves. Decompactification is a process in the opposite direction of compactification. Thus, this process involves energy, yet in the opposite direction. Here, the waves move in the opposite direction of where the waves moved in compactification. Compactification is a collapse of structure. Decompactification is an expansion of structure. Compactification involves no necessary destruction to the structure in certain circumstances, nor does decompactification build upon a structure necessarily. In cases besides the ball, compactification may alter the general shape of the twists of certain overt structures, and this type of change in significant obvious contours and/or shapes from within the structure of a given shape may happen during decompactification. Heh? Here: Three letter "s" shapes here are three-dimensional. These are twisted upon themselves. These are elastic in terms of flexibility. As these are smushed, the curves bend-in to form the shape of a torqued figure-eight. As these are stretched, the curves straighten. These are respective examples. Materials that are rigid are more likely to maintain a general type of contour or shape. This is true of waves, too. Materials that are more elastic are more likely to lose their general type of contour or shape. This is true of waves, too. As waves move, there is always a certain degree of elasticity there. If that were not true, then the waves would become too brittle and shatter. Also, if something is too rigid, it can no longer move. Everything is motion, and everything is made up of waves. So, everything has some degree of elasticity to a certain extent. Elasticity is also adaptation. Environments involve many things. Many things in a reality involve immediate changes in surroundings. So, for stuff to move in an environment where there is immediate change, the object(s) or waves involved are everything. Flexibility is the condition of adaptation. A wave or a set of waves' ability to be flexible increases its ability to maintain. The maintenance or a structure decreases wear-and-tear. Less wear-and-tear means less applied entropy. Less entropy means less chaos. Less chaos means that a given structure will last longer. Elasticity may allow one to change a structure more in an individual structure, while yet causing relatively no damage to it, if any.

Course 5 on Compactification and Yakawa Couplings, Session Three, Part One

Did you ever go to a store like "Natural Wonders?" Did you ever see the balls that begin with a large size while these are later brought down to a tiny sized ball? Did you ever notice how the total amount of stuff that actually makes up the ball is always maintained? The ball goes from dispersed in how it is stretched out, to more densely packed. This is a good example of compactification. The example is good because the shape of the ball is maintained, while yet the density of the ball goes from low to high. Also, the shapes of the twists in the ball as these twists form the same general shape of the ball are maintained in general, except that these twists go from elongated and separated to scrunched in and more together. As the ball is more compact, the twists not only are touching more, yet these also have more of a tendency to twist upon each other. As these twists twist upon each other, this forms a twist in and of itself. As these twists go throughout the shape of the whole ball, the ball is shown here to actually be an integration of twists that twist upon themselves. When the ball is stretched out, these integrated twists are separated from each other and stretched, although keeping the same curve pattern. In either case, the twists are three-dimensional curve-like waves that are stationary when put into position. Now, with strings, waves are constantly moving. A moving wave is a vibration. Everything that is made up of energy is made up of waves, and thus, vibrations. Vibrations that appear to be standing still are composed of standing waves. What these are are waves that go back and forth through the same spot, thus appearing not to do anything. Now, the ball from before was made up of some synthetic material. The material here is made up of energy and thus vibration, yet the material here itself is not moving relative to our perspective. The material, when triggered, does move by stretching or contracting. The motion of stretching may be called decompactification, while the motion of contracting may be called compactification.