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Useful patterns and the creative context

Science is politics
A main point of the US society is that, (though) science and math, whose "real relation to things, is most concerned about practical creativity," but its language and focus is controlled by the owners of society.
what is written here, it is really in a very simple language, and it is done in a very educational style.
But

All language (about all socially pertinent topics) is controlled by the owners of society, who are the paymasters of the wage-slaves, which compose the US public, where these wage-slaves foolishly, but nonetheless in an arrogant manner, help sustain the entire delusional structure..., essentially helping their paymasters in regard to stopping the wide range of creativity which mankind is capable of realizing.
Society is an example of self-sustaining system of illusion.
The ruling class harnesses many social forces in order to achieve such wide-spread delusional beliefs:
1. arbitrary high-social-value (propaganda-education),
2. money systems controlled by banks (who in turn define social-value by their investments), and
3. extreme violence, which is mostly subtle and institutional, it exists but it is hidden, its institutional nature requires that people internalize the terror which these institutions impose on them, the people.
The core problem is law, where the US society's law is based on property rights and minority rule (the legal basis of the Roman-Empire), though the US's historic documents proclaim that the basis of US law is to be equality and freedom,

Whereas the ruling class say:
people have an "equal opportunity" to compete for high-social-value within the language controlled by the ruling -class,
That is, the freedom of the people is defined by their willingness to help the ruling-class become ever more powerful, so as to help along the lines of the high-values (identified by the propaganda system), which the ruling class is defining.
and
People are free to get loans, ie and be creative, but the ruling class must OK these loans (thus, they [the bankers] are able to filter-out anything which might be of significant competition for their own interests).

Thus, the agents of empire, those who are given a literary or research-position, are narrow and quite arrogant and coercive in regard to the ideas that they express, as well as the ideas which these media agents believe to be true.


Intro

The hyperbolic metric-space (or equivalently, the space-time metric-space) within which the equations of a material interacting system are to be (can be) defined, is (itself) a stable discrete hyperbolic shape, which identifies an envelope of the orbital-spectral stability of the material components which compose the interacting system contained within the metric-space...
(this is (or can be) the model of the stable solar-system (or a stable atom), a stable orbital geometric-structure which the currently accepted equations of "material-component interaction" [or equations of statistical organization ***] cannot identify as a stable pattern, since these equations are [either] non-linear {thus quantitatively inconsistent}
[*** or they are indefinably random equations, which are built upon harmonic functions, which are oscillating functions, which can effectively be defined as a set of functions defined on circles, since Fourier analysis is quite similar to the L^2-function space [or Hilbert space] (where L^2-functions also allow such functions as "the oscillating part of cut-off polynomials," but this is, effectively, non-linear sets of oscillations, which are still related to shapes characterized by the holes which these shapes have within themselves (or their genus-number), {however, geometrization shows that these are, mostly, unstable shapes, which, often, evolve into the stable circle-spaces})]
{the energy structures and the angular-momentum structures, of the currently accepted descriptive languages, in turn, based on spherical symmetry, are not sufficient math structures which can identify the stable spectral properties of general systems, which this method, based on indefinable randomness, is trying to describe (or identify)}).

This inability to identify the stable spectral-orbital properties of observed systems has resulted in the idea of such system's containing spaces be first, nullified, then corrected, and then re-introduced back into the original containment space.
These are the ideas of:
1. Feedback systems (chaotic action is forced back into the original quantitative setting by feedback processes) and
2. Hartree-Fock (and Slater-determinant) atoms (ie do an averaging process with a normal-distribution, for charged and spin- particles around the atom's nuclear-center, until one finds a data-fit, but such data-fits are not (or seldom) found), and
3. potential-wall for nuclear containment (where the potential-wall is introduced in both an ad hoc, and data fitting, manner, where the potential-wall is vaguely, related to the strong-force of particle-physics, but with no valid quantitative models for such a potential-wall) and
4. particle-physics most notably the incompatible "highly geometric particle-collision, but randomly based" descriptive structure (leading to the radical need for claiming "space breaks-down in the small regions identified by particles, and particle-collisions," and then renormalize along the parameter of mass so as to re-adjust the correcting perturbing (math) construct, then returning the system (the wave-function, but defined with particle-states) to the containing-space one originally left), and
5. string-theory, which is based on geometry and on an arbitrary incorporation of materialism, by making higher-dimensional shapes have extremely small micro-geometries, but it is a geometry which is still consistent with randomness, at least in the context of materialism,
... . where a form of continuity, in regard to all material interactions in any dimensional structure, is assumed, but such an assumption of continuity has no basis... , it is an arbitrary assumption.
That is, in a discrete context (ie quantum physics), math operators which relate discretely (and discontinuously) between both (1) different dimensional-levels and (2) between small time-intervals, then a discontinuous discrete descriptive context might be a much better model for the actual containment set (for existence).
Etc.

The new discontinuous discrete descriptive context model identifies the:
1. cause of apparent randomness of micro-systems, and
2. the reason for the appearance of point-particle interactions, and
3. the reason for a spherically symmetric force-field's relation to inertial properties in 3-space,
4. etc.

The, above mentioned, existing stable metric-space shapes, which identify the new discontinuous discrete descriptive context, are in resonance with some subset of the set of spectral values of the finite spectral-set, in turn, defined by the "partition" of an 11-dimensional over-all containment hyperbolic metric-space.
The finite spectral set is defined by a partition which identifies each subspace of the 11-dimensional hyperbolic metric-space with a (largest) stable discrete hyperbolic shape, one such stable shape for each subspace, so that each subspace of each dimension has a largest shape, so that, that largest shape for a subspace identifies that particular metric-space shape (defined on a particular subspace with a definite dimension) as being a part of the partitioning-set of the 11-dimensional hyperbolic metric-space.
There are 2^11= 2048 stable shapes in the partition of the 11-dimensional hyperbolic metric-space. However, due to the dimensional properties of discrete hyperbolic shapes only 5-dimensional discrete hyperbolic shapes can be bounded shapes and there are:

[11C1 + 11C2 + 11C3 + 11C4 + 11C5] = [11 + 55 + 165 + 330 + 462] = 1023,
subspaces which are 5-dimensions or less
(excluding the two subsets, which are 0-dimension, and the 11-dimension set, itself).

Now each stable discrete hyperbolic shape can have various numbers of holes in its shape (a number called the genus of the shape) and each hole can be related to different spectral values. This is especially true for 2- and 3-dimensional discrete hyperbolic shapes. The 4- and 5-dimensional discrete hyperbolic shapes might have other restrictions on their geometries, eg limits on their genus numbers (see D Coxeter).
This means that the finite spectral set, which defines "what can exist," can be quite a bit larger than its number of subsets, though if the partition is defined to be only based-on uniformly-regular fundamental domains, so that each such uniform shape is only associated with one spectral value, then 1023 would be a lower bound on the finite spectral set.
Thus a hyperbolic metric-space with a certain size and shape can contain within itself any set of shapes which are:
(1) 1-dimensional less than the given metric-space shape within which it is contained, and
(2) be smaller than the given metric-space size, and
(3) their spectra are in resonance with some subset of the finite spectral set of the 11-dimensional over-all containment hyperbolic metric-space.
Each of these smaller, stable shapes are metric-spaces, and these metric-spaces can contain within themselves smaller and 1-dimension less and resonating metric-space shapes, too.
Inside of each metric-space the equations of material interactions can be defined. These equations are mostly non-linear, but the set of stable constructs (or systems) are either orbitally constrained (so as to be stable) by their containing metric-space shape, or the collisions of material components can be related by "resonance and energy relations" so as to form new stable, 1-dimensional greater (than the dimensions of the colliding components), discrete hyperbolic shapes.
The smaller, lower-dimensional components, which a metric-space can contain, can either be (condensed) components, or they can fit (by resonance) into the faces, of the fundamental domain of the metric-space within which these components are contained, and thus be a spectral-flow of the shape.


Harmonic analysis

If one compares harmonic-analysis with the model of a many-dimensional set of circle-spaces, related to the containing space by resonances, then one sees:
"on the circle-space side" a set of stable patterns, but it is a many-dimensional model, but wherein the idea of resonance allows for a wider-range of possibly relevant spectra, ie spectra which are made relevant by the idea of resonance of the dimensional level's relevant circle-space shapes, ie the resonance of the observed system, with the over-all containment set's finitely defined spectral set,
while
"on the harmonic-analysis side" the first level of harmonic analysis is also about circle-spaces, namely, a trig-series (or Fourier analysis) (but unrelated to a (stable) definite model of the circles, to which the harmonic values are related),
while at the second level one has the idea of an L^2-functions, ie functions which have a cut-off radius... ,
so this would include the trig-series (or Fourier series) type functions, as well as polynomial functions, where polynomial functions have the properties of oscillating functions in a bounded region around zero, where polynomials with such vaguely oscillating properties are the focus of algebraic geometry,
... , where the radial cut-off of such (oscillating) functions is needed to ensure that the integral of "a function-squared" converges (or identifies a specific value).

One sees that, though polynomial oscillating functions may be relevant in the study of non-linear feedback systems
which seem to have ranges of relatively-stable applicability within a quantitative, or measurable, setting (context)
[since polynomials have the structure of both numbers, and the structure of relevant orders of magnitude, where orders of magnitude are relevant to a measurable property {ie a function's values} of a system (or math pattern)]
but
their non-linearity actually makes them unstable, and quantitatively inconsistent (ie chaotic), and they are all uncontrollable patterns of very limited practical usefulness.

The main issue of math description is distinguishing when a system (an observed measurable pattern), which is related to a measurable shape, has stable controllable properties, ie a description which can be used in a controllable and measurably reliable context (as opposed to feedback systems), and when its observed vague patterns are not relatable to control and subsequently not relatable to practical use.
This distinguishes between:
(1) controllable, and practically useful, patterns of (observed) existence
vs
(2) unstable patterns, which cannot be used in a context of control (of a [stable] system's properties).

That is, one wants to use the observed stable properties of systems in (practically useful) creative new ways.

The structure of space, within a dimensional ladder, and its relation to differential 2-forms

It seems that both the nucleus and the atom are (can be) 3-dimensional discrete hyperbolic shapes, where an oscillating, unstable nucleus is most likely a 3-dimensional discrete hyperbolic shape.
This would mean that our existence (characterized by inertial material interactions) is dominated by our being in a Euclidean 4-space.
Thus, electromagnetism is the main force holding material system's together, but we observe primarily the inertial results of material interaction, and inertia is a property of Euclidean space.
However, the fiber group structure of Euclidean 4-space is
SO(4) = SU(2) x SU(2)
which can separate the two different materials which exist in R(4,1). Namely, the odd-genus and the even-genus 3-dimensional circle-spaces shapes, and relate the two types of inertial interactions (of these two types of material) to R(4,0), so as to be able to separate these two different material-types into two separate material-containing subspaces. The effect of this separation is that we see the inertial properties of the even-genus charged-system shapes, in regard to the R(4,0) material properties, ie the material properties of inertia, ie material's relation to position and spatial displacements, but we do not perceive the place and actions of the oscillating material-type.

Furthermore, the tensor structures of geometric-measures, ie the differential-forms, have different arithmetic relations on the odd-dimensional vs. the even-dimensional containment metric-space sets, of a material system's description, so that the even-dimensional containment-spaces fit more naturally into an adjacent lower-dimensional spaces (which is of odd-dimension).
Furthermore, (it seems that) the fiber group structure of SO(4), associated with base space R(4,0), allows such a arithmetic relation of the differential-forms to be more noticeable (or more important) in R(4,0).

It is the infinite-extent space-forms (or unbounded discrete hyperbolic shapes) of dimensions 2-, 3-, 4-, and 5-dimensional hyperbolic spaces, and their relation to bounded (or semi-bounded) discrete hyperbolic shapes in the same dimensional spaces, which have a relation to various subspace... and components-of-subspace... properties... , and their possible relation to other angular momentum systems in either different dimensional levels, or in (a very widely) different 11-dimensional hyperbolic containment metric-space (where each 11-dimensional space is defined by its own finite spectral set).
Thus, there are issues about bounded-ness and unbounded-ness of components and their adjacent higher-dimensional containment metric-spaces, and the shapes (or bounded, or unbounded properties) of these containment metric-spaces, which can be important questions, in regard to angular-momentum paths of connections.

Thus, one can see that there are different types of questions which can be asked in different math models of containment, and the math models which are based on "stability of shape" seem to be the better spaces within which to frame questions in relation to descriptions of existence which can be practically useful.

Social aspects of intellectual activity

The currently accepted descriptive dogmas are designed to answer questions concerning the rate of nuclear reactions, and the relation of these rates to any possible model of particle-collision probabilities (this is because these questions are of central interests to the owners of society and the relation that these instruments have to violent subjugation of both others and the public.
This is a very narrow viewpoint, concerning measurable descriptions and their relation to practical usefulness.
It seems to be a viewpoint {of an abstract and wrong (deceptive) viewpoint [which has been captured by a use in regard to making bombs]} about linking high-social-value with narrow world-outlooks, which can only considered in a mental context of obsession, with no vision of reality, except an assumed absolute reality associated with a dogma. The primary absolute truth of this viewpoint is the viewpoint of materialism identifying an absolute truth. But the math of systems constrained to a particular dimension cannot be used to describe the stable properties which are observed, whereas the math which can be related to its own "space of containment" are spaces where measuring is no longer valid, ie they result in non-linear relationships, as well as indefinably random relationships, ie where indefinably random relationships are relationships which have no relation to stable patterns.

This is exactly what the Godel's incompleteness theorem... , about the limitations (or inability) of precise language to identify patterns... , addresses.
Namely, the need to base language on new contexts, assumptions, and interpretations, etc, so that the descriptive patterns of a measurable context are practically useful.

Some techniques for manipulating social forces

Yet the accepted dogmas of the obsessive experts, ie a community of carefully selected autistic types (who want to possess models of obsessive detail) and who are highly aggressive-competitive and who enjoy dominant social positions, is defended with the same fervor as the political-economic vision of social organization, namely, with a viewpoint that mankind is fundamentally a sinful animal (ie an incapable, ignorant, violent, and selfish animals), best controlled by an enlightened few [but these negative personal attributes may best describe the personal attributes of the ruling-class]. Plato called for philosopher-kings while Rome required the kings-of-violence, and pettiness, to rule over "the" material-world.

But in reality it is a society being controlled by the narrow limitations and extreme domination of a small set of ignorant few who are pleased to be selfish and who defend their social positions with psychopathic violence, ie it is far too narrow of an outlook (about the nature of existence) for the creative natures of human being... ,
(ie human beings whose creativity have been bent and distorted by the evil social constructs within which they are governed)
... , and such narrowness and required violence leads to destruction (central planning for the selfish [destructive] interests of a few {it seems that the point of Marx was to simply re-focus the propaganda system so that the oligarchy stood for equality rather than a Darwinian superiority {where, it needs to be noted, that Darwin's theories are based on the idea of materialism, and the top percentiles of (fictitious) normal distributions}).
The institutions of propaganda and law (government, religion, and education) are all filled with the types of dominant individuals who are arrogant and murderous in their deceit (where this is following the social analysis of the US, which was provided by M Twain).
That is, the context of the corrupt emperors of Rome is still the context of western culture, but they have come to an end, in regard to their gifts of engineering which they can provide to a community, ie the brick-laying (as preformed by the Roman military) are too limited in their vision, and now the current emperors, apparently, see only themselves, in the abstract language of delusion, ie an economy and a knowledge which is failed.
So that knowledge and creativity are all about people being controlled to serve the selfish interests of the few.
One cannot see anyone in the media and in the justice system and in the upper reaches of the education system who are not fatally flawed with their self-centered arrogance

The surveillance state's apparatus could be used to end the "failed top-rungs of the controlling social hierarchy," and instead, be used to control their violent and failed (intellectual) minions...
(this could possibly be done by controlling a handful of people),
... , so as to transition to a state where law is based on equality, and the freedom to believe, and to express beliefs, with an eye towards creativity, where creativity is based on selflessness, where a truly free market could be realized, so that equal free-inquiry can lead to ever more creative capacities of a human society, so as to realize the original intent of the US revolutionary war.


Useful too

The above discussions about math and science are about the fundamental math properties which are associated with the construction of measurable descriptions, wherein the patterns described are stable and practically useful.

Are these ideas useful?

The world is not determined by material existence... where all "allowed to be expressed" rational thought must require that existence is based on materialism,...
However, these new notions about precise descriptive language are also about the limits of language... a language must always reflect on itself... .
One wants reliable measuring in regard to descriptive containment (of measures and derived properties, or functions) and one wants to use math patterns which are stable, and controllable, when placed into a context where measuring is reliable.
Then descriptive information can be used in a practical context of building things.
In fact, this may be a definition of meaning...

The lack of usefulness is the main criticism of: quantum physics, particle-physics, general relativity, and all theories derived from these math models of "a random, non-linear, material world," eg string-theory, that is, all of these theories are practically useless.
That is,
"Virtually all useful technologies are derived from the ideas of classical physics and its fundamental relation to geometry, and stability, and subsequent control."
Eg even micro-chips are made with both thermal processes and optical processes etc.
atomic bombs are based on 19th century models of chemical reactions, coupled to the property that there is a "critical mass" for radioactive substances.

These above mentioned (quantum physics, particle-physics, general relativity, etc), but currently accepted as authoritative, physical theories cannot describe the observed stable properties of: nuclei, general atoms, molecules, crystals, solar-systems, dark-matter etc...
... .. Whereas the new descriptive context can describe the stable properties of these systems in an (the)
"active context of cataloging the finite spectral set of a (particular self-contained) model of existence."

In this age, the "capacity to describe vague patterns" is considered a use,
but, it might be claimed that, this is similar to religion having a use.
Namely, religion is used to deceive people by the use of a descriptive language so that this language is backed-up by violent terror.
The Roman emperor Constantine linked violence and a hierarchical society to propaganda, ie the practically useless descriptive language of religion.
This deceptive use of a practically useless language and violent terror in a hierarchical society is, today (2013), what the media is all about, as the pinnacle of the social hierarchy, attacks the lower classes, all based on an arbitrary idea about high-social-value (the abstract, hopelessly complicated, physical theories which define scientific authority today (2013), are useless in regard to practical creativity, and thus, they cannot be taken seriously by any rational person).

In 4-space (or 5-space-time) the resonances of naturally oscillating energy generating physical systems, such as radioactive material can be tapped-into as an energy source, by means of "circuits," in regard to ideas which are similar to the ideas of what Tesla may have considered, along these same lines of thought, planets and stars also depend on such oscillations as their energy sources, which can also be tapped-into, ie if done in regard to the earth's oscillating energy-dynamo, then this would provide clean, cheap energy sources. Electromagnetism coupled to the two types of material which the earth defines (see above) seems to be the line of thought which Tesla was considering for his ideas about tapping clean, cheap energy from the earth (Note: "free-energy" is an idea from thermal physics).

The angular-momentum provides links within a stable discrete shape, or equivalently, the shape's fundamental domain has relationships to its lower-dimensional faces, and these relations can be used to form a connection (bridge-way) of an associated control, over spectral-resonances, which can be used to model "a central macroscopic-system" "a command-control system with a hierarchy of controls," where this would be a good model for a living-system, so as to have such "central hierarchical control" over the living system's glands (subsystems) and molecular properties (spectral resonances).

The higher-dimensional models of life, for example, some life-forms (such as human life-forms) are 7- and 9-dimensional, and thus they are unbounded. Such systems are centers of light (and they do not possess material positions, though they have a spatial region), and these relatively stable systems can be used to link, by angular momentum paths, such a life-form to a wide range of spatial and temporal relationships (as well as relations between lower-dimensional shapes) so as to allow both "communication connections," as well as "travel connections (or links)," where such links are stable, linear, and controllable sets of patterns.
These are the types of links, which the currently accepted, but un-useful, vision of science descriptions calls "worm-holes," but the current math models of "worm-holes" are math constructs which are unstable and non-linear and quantitatively inconsistent, and they are models of systems which cannot be used, because they are unstable and chaotic models.

The current viewpoint about science and materialism, concerning highly complicated descriptive patterns, which are unstable and quantitatively inconsistent patterns, are used in a context of illusion, and absurdity, veiled in complication, and mired by their relation to illusions.

It is useful to try to extend knowledge beyond such a useless descriptive context, as is the current descriptive context which is now (2013) used by the professional science and math communities.

Human creativity

However, the new descriptive context describes the most fundamental context of existence, encompassing both life and material, and the context ranges over many-dimensions... , wherein size can have various dimensional and set-containment relationships.., so the main use of this new language is providing the simple, but rigid, context of all of existence, so that one is able to consider
"how one can expand, by creative effort, the current state of a rigid, limited existence,"
[but it is an existence, about which we have lost knowledge, we have lost the knowledge of our "true relation to existence," but these new descriptive constructs can be used to re-kindle ideas, and possibly perceptions, of our true heritage within which we exist, act, and create]

The natural goal of human creativity:

"how to expand existence in regard to its simplest and most fundamental properties?"


Note:

Economics is not a quantitative descriptive context, since there are individuals who have enough wealth to manipulate the system. The main force (effect) that economic has on society is done in collusion with the justice system where the public have become wage-slaves, those who steal bread are to be hunted down and imprisoned at any cost, and that the instruments of the media can be bought and controlled by the rich, ruling-class, so that language can be controlled within society.