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Most affect actions

Consider the properties which most affect actions and attention
One sees all the time, a set of institutional bullies (of the national security state, ie the employees of the justice, military, propaganda (ie politics), and banking-oil-corporate rulers) doing bad things to people, and then others (usually, those in these very institutions who observe these actions by the bullies within their institutions) report these bad things, and [if allowed onto the media, then the media] (rightfully) express moral indignation at what the bullies are doing.
But seldom do the bullies stop it.
The propaganda system most often discounts these claims (or misrepresents these claims, and marginalizes the messengers), and there is never any consequences, in regard to the immoral actions of the bullies, ie the rulers henchmen, where this inaction within the political-justice system results from the structure of law within society.
Yet all societies always claim to be the most moral society ever to exist.

So go to the source:
the laws and its enforcement (administering law) in society, which allow these bullies to do these things.

The crux of the matter within a society, which is characterized by non-stop bullying, is always about basing law on
(1) property rights... , ie stealing which is allowed if one is a member of an upper social-class... ., and
(2) minority rule... ., eg a Roman republic... ., where these laws serve the interests of the owners of society, ie the bankers-oilmen-military business people, and subsequently
(3) the imposition of wage-slavery on the public, imposed by a combination of both a (corrupt) justice system and the propaganda system which proclaims the sole voice of absolute authority, which the public must obey (or not get a paying job).

This single voice of authority is the social force most the cause for stopping the expression of new ideas within society, and it also stops a set of wide-ranging possibilities for individual creativity. Knowledge and creativity serve the interests of the owners of society.

Since, within society, money now equals property, and the standing-military takes its orders from those "with the most monetarily-derived social-power," then it is good idea to ask (when did) is the US society (become) ruled by the richest few people in the world, who may or may not be Americans?

However, the principle (or the main idea) of the American revolution was that;
Instead of law being based on the control of property by the ruling class, law is to (should) be based on equality, so that there does not exist a social class of oppressors.
This is central to the logic of the US Revolutionary War, in which the Declaration of Independence declared that US law was to be based on equality, so that the systematic oppression of the public, by the upper social classes, could be stopped. However the upper-classes wanted a republic, but the Republic they sought, ie the US Constitution, was not allowed to be law, unless there was the Bill of Rights attached.
However, the Bill of Rights was never upheld, since a social-class of oppressors was allowed to manage the Republic. The US Republic was supposed to provide for the common welfare in the context of law being based on: equality (everyone is an equal creator) and its citizens possessing freedoms to believe and to express one's beliefs, which are principles about freedom which are to ultimately be related to selfless practical creativity based on new knowledge.
That is, in the age of enlightenment... .,
which was also at the beginning of the scientific revolution, where the scientific revolution reached its zenith when electromagnetism and thermodynamics as well as statistical physics were developed in the 19th century (where statistical mechanics was based on closed, bounded systems with a fixed number of, N, neutral particles, which possess only mechanical properties, eg mechanical collisions, settling into an equilibrium associated to a constant thermal energy of an isolated system)
... ., the founders were well aware of the relation of scientific revolutions to both freedom of belief and freedom of expression, ie new ideas must be considered in order for science to develop.

Equality and free expression allows for the development of truth, where a described (measurable, or verifiable) truth is about both accuracy as well as the information within the description being practically useful in regard to creativity, ie using observed measurable couple-able properties to build new (material) systems.
Equal free-inquiry (in turn, the information is to be related to practical creativity) was the idea which Socrates supported, and that society should be committed to such a simple principle and to such a humane principle.

The current law should be suspended, since
(1) it has not been administered in a manner consistent with the law of equality which the US stated, "was to be the basis of US law," and a 3rd-continental congress (or whatever number it should be) needs to be re-instated, so as to restructure law and government, so as to have equal institutions, and to promote the common welfare based on equality, where a free-market is not possible unless everyone in society is accepted as an equal creator, and
(2) the gambling casino has collapsed, some of the "owners of society" lost their shirts, and criminality (since the ruling class are all thieves) has become the basis for these big-players to retrieve their fortunes, where the big-players are needed in the game of empire being based (waged) on (baloney, or fraudulent) economic principles.
An empire is most concerned with military constructs through which the empire can expand, so as to feed its narrow mental construct of world-properties by means of a highly controlled set of mechanisms for exchange, and which are the basis for the power of the emperors, ie the emperors are those few who direct the expansion and a mercantile society's narrow context (upon which are defined the need for stealing and its associated violent support) upon which earth's destruction and society's destruction are both guaranteed.

That is (in reference to (1)), one wants a society where law supports the idea of human beings being fundamentally about acquiring knowledge, and using knowledge in relation to the development of practical creativity.
That is, humans are not basically about property and the use of violence to steal property for one's selfish gain.

The main division concerning communication within the propaganda system (the language mechanism through which the context of a human life of wage-slavery is expressed) is that of:
Materialism vs. idealism

(where idealism is a belief that the properties of existence transcend the idea of materialism)

In the math-physical description given below, materialism is a proper subset of idealism, where the containment-set of an "ideal" existence is an 11-dimensional hyperbolic metric-space, wherein stable shapes of the various dimensions (and the various subspaces) exist

Usually the division is
Science vs. religion

But the main teachings of religion is, simply-put, the idea of equality, whereas science has insisted that existence is determined by material properties,
Thus the division should be
Materialism vs. equality

Where the material model of biology implies survival of the fittest, and thus, Darwin's evolution implies inequality,
Furthermore, the emperors religion has always served the emperor, and it has never served the purpose of religion, ie the Emperor's religion has never served the purpose of equality.

One could say for a "described truth," where truth is a description's relation to both accurate information (concerning observed properties), but more importantly the description's relation to practical, useful, creative efforts, and in trying to get-at a valid "described truth" the social condition of equality is the principle (or social-state) which Socrates supported (equal free-inquiry), while Godel's incompleteness theorem also implies that truth depends on an equal expression of ideas.

So in the way things are used in the propaganda system, both "the emperors religion" and "material based science" are viewpoints which support the idea of both materialism and inequality, where science has been manipulated within the constructs of social-class, so as to become authoritative and dogmatic, and in turn, this is used to define a competition, within which, supposedly, a class of intellectually superior beings can be determined. Unfortunately, the main idea expressed by the, so called, top intellectuals is that they are obedient to dogmatic authority, namely, the same authority upon which their social positions depend.
But this is not science, science requires equal free expression and equal free-inquiry.
However, based on the dogmatic science competitions, people are found to fill the positions of authority within society, who are aggressive (seek dominance), inclined to like to use language, and are very obedient types of people.
(Those few who win the narrowly defined "science competition," are not a class of intellectually superior people by any means, since the representation of physical science (or physical law) upon which the authority of the competition is defined, cannot describe any fundamental physical system (it is not capable of describing the stable: proton, general nucleus, general atom, molecules, stable solar systems etc) and these, so called, intellectually superior people are oblivious to this pathetic state of affairs within which science and math are to be found, rather they are people who mostly seek fame and fortune).

Essentially, there is no person who supports equality (in no uncertain terms, as did the principles of (equal) free-inquiry of Socrates) who is allowed to have a voice within the propaganda system, or such a person's statements would be carefully edited, and such a person, who believes that equality is the correct social model, and which best express the intent of the American revolution, and there is no person who (also) presents new ideas based on the elementary (language) level of assumption context and interpretation, (the same level of precise language within which Faraday developed electromagnetism), and if a [person tries to do this they are attacked, based on an arbitrary belief in high-value of superior truth, in regard to how words are used by the propaganda system.
Such a belief in arbitrary high-value was the basis for the Puritans to exterminate the native people of the Americas, and also for Columbus to enslave and murder the native people of the Americas (ie where America is a European derived name) in the name of a very narrowly defined European market model of exploitation, whereas the native people's were doing quite well living in harmony with the earth (can we do equally well living in harmony with the earth, but the context has been changed).
This extermination of native peoples is now (2013) always presented in historic accounts as evil actions which was not a result of personal knowledge, but rather as a result of what the society considers to be a superior cultural knowledge, it is always formulated by an expression of an idea (supposedly consistent with the society), yet it is a viewpoint which is blind to the nature of (precise) descriptive truths, where Socrates' principle of equal free-inquiry allows many ideas to exist, so as to not allow one (murderous) idea to become dominant.

The intellectually superior experts... ,
(where other countries try to replicate such an intellectual capability, so as to also indicate their "superior status as a society")
... , represent to society a vastly superior culture, and this superiority is implicitly used as a justification for any actions which the society might take.
Yet, it is an intellectual capacity which exhibits only failure, otherwise please describe the stable:
proton, general nucleus, general atom, molecules, stable solar systems etc.

New ideas

See scribd.com search m concoyle
Several books and papers, including the speech delivered at the math conference in San Diego (Jan 2013)

There are new ideas, which are about measurable descriptions based on the principles of mathematics, where a new emphasis on the interpretations of certain ideas in stricter ways, stricter in regard to the importance of the properties of both stability of patterns, and stability of the containment context (wherein measuring is reliable), so that these newly emphasized math principles of stability are applied to the observed properties of physical systems, and in doing this, the most fundamental problems of physics are (can be) finally solved.
Namely, describing the stable properties of orbital-spectral systems at all size scales, wherein it is assumed that these systems are composed of many-(but-few)-bodies, and which are observed to possess stable orbital-spectral properties, (the solution is) a feat which modern science is not capable of doing (or of solving).

Stable properties imply a quantitatively consistent and controllable context... ,
(linear, metric-invariant (for metric-functions with constant coefficients), and the local directions of the shape of the system are independent in a continuous manner everywhere, ie (geometrically) separable and algebraically diagonal),
... , in regard to a system and/or its creation through an interaction process.

In math, (where math is [should be] about precisely describing the measurable properties of the world) the mathematician is always encouraged to seek the most general context (for a pattern), and the most complicated aspects of "a general, and abstract context," and then to list simple patterns of algebra, and relate the complicated contexts (complicated patterns) to sets of simple algebraic patterns, ie the ideas are framed in a very abstract manner, in turn, the simple algebraic properties of the complicated context are often associated to simple geometric symmetries. But, this close expression of math ideas within a carefully described context of algebra ignores (or veils) the need, in math, for both the properties to represent stable patterns (within a descriptive context) and the need to emphasize the math properties which make a containment-context both stable and measurably reliable.

But the idea of stability, of both descriptive context (reliable measuring), and of the stable patterns (protons, general nuclei, general atoms etc) being described is never considered, except in an overly general and overly abstract context, eg assuring a set containment property so that the algebraic structure is maintained in the containing set. However, very large quantitative sets, defined within continuums, may not be properly relatable to a stable uniform unit of measuring, ie is stability considered only in a vague and abstract context which ignores the stronger needs for a property to be stable. (linear, metric-invariant, independent local coordinate properties continuously related to the containment set).

The math properties which allow for stability of patterns (in the context of world experience) are very restrictive patterns which are about geometry, since measuring and quantity are geometric (or worldly) set constructs (stable properties of the world).

A brief history concerning the math methods of physics (or for science in general)

Measurable properties of systems (or patterns) are represented by function-values (or related to function spaces) whose formulas (for each function) are defined by the variables of a system-containing coordinate space (or domain space).
System containment of material-geometry based systems (ie systems composed of material) is the assumption of materialism, and its associated restricted relation to the idea of dimension, or the realizable independent directions for material's containment coordinate space.

So how does one get at the function's formulas?
(1) by local measuring, and
(2) by equivalent ways of expressing the same concept by different quantitative relationships (ie forming a differential equation),
or by
(3) identifying measurable quantities and discovering (by experiment) the different relations that these quantities have to one another, eg pV =kNT, where with the aid of thermal functions and associated thermal laws these relations can also be found by local measuring relations,

where local measuring is either
(1) about linear local relationships between functions and their coordinates where the coordinates depict the system's shape (or the laws of thermal physics),
or
(2) about sets of operators acting on function-spaces, where the functions in the function-space are related to the system's spectral values, and where the system is contained in the domain space of the set of functions which compose the function space. It is not clear if this is local measuring, or (alternatively) measuring the spectra of a containment set.

Is this the correct context for determining the measurable properties of physical descriptions?
Is materialism the correct context for physical description?
The above principles of physical description are supplemented by an assumption of reduction to (ever) smaller components, where such reduction depends on the interpretations of high-energy small-material-component collisions.
This assumption of reduction of physical systems to smaller components also leads to an assumption of an (apparent) random set of properties in regard to observing the components, to which collisions (of the collision experiments) reduce material systems, in turn, this leads to physical description, in regard to (2), being based on indefinable randomness (built upon function spaces upon which (local linear) operators are defined),
while
the idea of differential equations, ie (1), leads to the most prevalent pattern observed in regard to local measuring, the pattern of non-linearity.

However, indefinable randomness and non-linearity cannot be used to describe the stable patterns which are observed for the most fundamental of physical systems, wherein stable spectral-orbital properties are observed.

So what is the mathematical nature of stability of patterns?
Answer: Stability and quantitative consistency are related to the patterns of simple shapes, namely, cubes and circle-spaces

The two shapes which are quantitatively consistent with numbers (or quantities) are lines and circles, where local linear independent directions can maintain a continuous linear and independent (direction) relation which can exist between the lines and the tangent directions of the circle(s), when these (types of) shapes are the coordinate shapes which compose the quantitative sets (or the system-containing coordinate-space).

Quantitative sets are characterized by sets of algebraic properties in regard to operations of: order of operations, existence of identities and the existence of inverses, and the distributive property where the distributive property gives number systems the structure of polynomials defined on quantitative variables (the bases, eg 2, 10, etc, upon which a number system is defined).

Thus, there is the real numbers of the line and the complex-numbers of the plane (or measuring based on a circle and a ray) which are quantitative sets which can be made to have quantitatively consistent relations to each other, ie the lines and circles are the quantitatively consistent and can form into stable math patterns.

This leads to a simple rule, the stable and quantitatively consistent shapes are the circle-spaces defined on metric-invariant metric-space whose metric-functions have constant coefficients, eg tori on Euclidean space, and strings of attached toral components defined on a hyperbolic metric-space [or on R(s,t), see below], ie the discrete hyperbolic shapes.

What happens when one tries to turn higher-dimension local rectangular coordinates into consistent quantitative sets (such as the complex-numbers)?
Consider the quaternions, a number system based on 4-independent directions, have all the same properties, in regard to number operations, as real and complex numbers possess, but there are zero divisors in the quaternions (ie a and b are both not zero, yet ab=0, so a and b are zero divisors), so equations cannot be solved.

Geometric measures are necessary in regard to containment of physical systems within geometric models of coordinate sets, which represent "physical" systems, these are the local measures of length and they are also local alternating forms, which are consistent with length measures, but instead of measuring length the alternating-forms measure: area, volume etc.
If there is to be quantitative consistency within a description of a material-geometric system, which is contained in a metric-space coordinate system, then the local transformations of local coordinate values need to be metric-invariant, whereas this also implies the invariance of the other geometric measures.
(one expects that) The metric-invariance of metric-functions, where the metric-functions are symmetric matrices, implies there are always local coordinates in which the matrix representation (or the local linear representation) of the metric-function is diagonal, ie the metric-function is independent in each local direction of the coordinates.
Thus linear functions which are also diagonal in a continuous pattern (of local diagonal linear properties) which exists on the global shape of the coordinates (or the global shape of the system being described) are the local functions which allow quantitative consistency in regard to a function's values being consistent with the geometric measures defined on the system containing coordinate set (or coordinate space) [where a function's values represent the measurable properties of a stable system being described].
Note: Local linear maps, which are not continuously commutative everywhere (ie not diagonal) determine quantitatively inconsistent (or non-linear) measurable relations, ie they identify patterns which are not stable.

The stable solutions of dynamic equations for physical systems composed of material components are related only to the set of discrete hyperbolic shapes whose spectral-geometric properties are consistent with (or resonate with) the finite spectral-geometric set of values defined for the entire over-all 11-dimensional hyperbolic metric-space containment set (of what is essentially, for these material components, a model of all existence).
Thus, for the three types of 2nd-order metric-invariant partial differential equations... ,
(1) elliptic (bounded and/or orbital systems),
(2) parabolic (confined but free systems, eg projectiles [rockets], as well as angular momentum),
(3) hyperbolic (component collisions, essentially free and unbound systems)
... , the new description provides solutions which are related to bounded orbital-type component-like systems so as to possess a new context within which angular momentum can inter-relate
either
(1) to the toral components of a stable shape
or
(2) higher-dimensional stable geometric-spectral components (or shapes, or metric-spaces).

There are two categories within which these shapes can be achieved (or solutions determined),
(1) where the lower-dimension components have spectral measures which fit into the spectral measures (structures) of the (new, if interacting) higher-dimensional components,
(2) where the lower-dimension components are too small to fit into the orbits of the adjacent higher-dimensional component (which is a part of a dynamic interaction), in which case there is condensed material, composed of smaller components, which may or may-not fit into their containing metric-space-component's geodesic (or orbital) structure, so as to identify stable orbits for the condensed material that the metric-space contains.
(1) is essentially determined by resonances, while (2) is defined either in the parabolic or hyperbolic context, wherein the pairs of opposite time-states identify a local involutive transformation (ie the positive-time position and the negative-time position are interchanged in order to determine the spatial displacements of the two opposite dynamic states, the transformation is its own inverse) between the positive and negative time states of a "discrete dynamic local transformation," but because the interaction for such free-states is (in general) non-linear (determined through a connection, which, in turn, is defined within the isometry fiber group) the orientation and spatial position of the next time interval are changed, yet locally they remain involutive.
It seems that this would define a dynamic structure which is a symmetric (manifold) structure, and it is such a symmetric structure whose local opposite displacements might define a path which is in resonance with, ie tangent to, the stable and restricted orbital structure of the material containing metric-space
(where, to re-iterate, the metric-space would possess a stable shape, and thus they also possess stable "orbital" properties, into which condensed material components, ie existing components which are smaller than the size of the (containing) metric-space shape, would [eventually] enter into an orbital structure).

That is, the entire context of the (partial) differential equation is qualitative, wherein the context of their (current) definition these operators are simply steering the underlying stable components (which the containing space does contain) into a spectral (adjacent spectral sizes fit together) or orbital (small components condense) relation with an underlying finite set of stable shapes, which define both a partition of an 11-dimensional (hyperbolic) containing space, as well as a finite spectra for that same containing space.

Furthermore, the differential operators are better defined as discrete operators, which are defined between the discrete separations of:
time intervals,
subspaces,
dimensional-levels,
toral components (discrete angular folds), and
in relation to other sets of 11-dimensional containment sets.

However, there is (in the new descriptive structure) a new context for angular momentum.
That is, angular momentum is defined on the various toral components of the stable shapes, which are allowed by the containment set (which defines a finite set of stable spectra-geometric measures, to which the existing stable shapes must be in resonance), and on possible links, defined by angular momentum.
There are unbounded stable discrete hyperbolic shapes, which exist on all dimensional levels, and these unbounded shapes are associated to stable material components, ie stable discrete hyperbolic shapes defined by their being resonant with the finite spectra of the various subspaces of the containing space [which is partitioned by (into) a finite set of stable discrete hyperbolic shapes of all the dimensional levels of the over-all containment set].
On the other hand the 2-, 3-, and 4-dimensions are relevant to the descriptions of "material" components contained in hyperbolic 3-space, where these stable shapes are also related to both bounded and unbounded, or semi-unbounded, discrete hyperbolic shapes, where an example of a semi-unbounded shape would be the neutrino-electron structure of an atom's (2-dimensional) charged components (which is also called an electron-cloud of an atom, eg for an atom the nuclei are bounded shapes while the electron-clouds are semi-unbounded), so that all "material" systems are linked to an infinite boundary of the over-all high-dimension containing space. Thus, one can think of angular momentum as a controlled (or controllable) link between the many different 11-dimensional hyperbolic containing metric-spaces, by means of such unbounded and associated bounded (angular momentum) links (between 11-dimensional hyperbolic metric-spaces).

Thus, one can consider a possible consciousness for people would be to examine the different creative structures of these different universes, where the individual 11-dimensional containment sets for the different universes (or perhaps different galaxies) might be perceived as intricate bubbles of different types of perceptions, through which we can control our journey since we are in touch with the infinite reaches of these types of separate existences. (see below for a high-dimensional model of life-forms, eg models which allow all life-forms to possess a mind)
Is this the true context within which the human life-force is to develop knowledge and intend creative expansion of such a context?

To elaborate (more)

The stable shapes are dependent on the metric-functions of the coordinate containment spaces having constant coefficients, and also having non-positive constant curvature, ie the zero-constant-curvature and
(-1)-constant-curvature metric-spaces,
or on either the R(n,0) or R(n,1) coordinate spaces,
or more generally on R(s,t) coordinate spaces, where the metric-functions have constant coefficients, and also have non-positive constant curvature, and their associated isometry fiber groups.

The stable shapes are the circle-shapes composed of tori (doughnut shapes) and shapes with linearly attached toral components, or the toral components can be folded upon themselves.
The shapes which are strings of toral components are called discrete hyperbolic shapes, and they are discrete in their allowed size-shape toral components, and they possess very stable spectral-geometric-(size-of-toral-component) properties.
The tori are continuous in their sizes, but the discrete hyperbolic shapes are rigid and discrete in their geometric properties.

Both the discrete Euclidean shapes and the discrete hyperbolic shapes are the natural stable shapes which are part of the metric-invariant structure of a metric-space. Namely, they are the shapes which are related to the discrete isometry subgroups of a metric-invariant space's associated isometry fiber group.

D Coxeter studied these discrete hyperbolic shapes using reflection groups and classified them by dimension.

The only resulting shapes, upon which the formulas are defined for the results of the measurable properties of material system interactions, where such interactions result in (stable material systems with) stable shapes, are the discrete hyperbolic shapes.
Thus the discussion about solutions for a physical system's defining differential equations can be restricted to the discrete hyperbolic shapes, so as to be stable systems which are both linear and solvable, and thus controllable and useful.

That is, the useful information about existence, ie shape, and spectra, which math can provide, in regard to a measurable description of the world, deals with the very stable patterns associated to discrete hyperbolic shapes, and their containment within (and their partition of) an 11-dimensional hyperbolic metric-space. It should be noted that an 11-dimensional hyperbolic space is chosen, since the highest dimension discrete hyperbolic shapes, identified by Coxeter, are the 10-dimensional discrete hyperbolic shapes, which are contained in an 11-dimensional hyperbolic metric-space.

The stability of a shape, which is measurable, and quantitatively consistent, and stable... , and thus couple-able, and useful, in a descriptive context wherein measuring is reliable... ., is determined by a complex of a subspace-size-containment set structure within an 11-dimensional hyperbolic metric-space, which has been partitioned by a finite set of discrete hyperbolic shapes, whose sizes are adjusted by multiplying by a constant... .,
where multiplication by a constant is defined between either
(1) subspaces of the same dimension, or
(2) dimensional levels of different dimensions, as well as
(3) the sizes of the toral components changing between the discrete folds which exist between the toral components.
... ,

That is, size adjustments, in regard to the subspace set structure, are done by multiplying by constant factors which exist between these natural discrete divisions of the over-all containment space.

That is, the quantitative structure of a measurable description of stable patterns is generated by a finite set of spectral-geometric properties defined by partitions and other discrete actions (or discrete divisions) within the descriptive containment context.

That is, depending-on the containment-size-subspace-dimensional structure of an 11-dimensional set, there can exist, in a particular 3-dimensional (hyperbolic) subspace, condensed material, composed of small components, ie the atomic hypothesis, which can be molded or manipulated to form shapes.

Metric-space states
A circle on a plane can identify a pattern (the circle) which has a position on the plane, wherein the two states of translation and rotation are distinguishable, and rotation of metric-space states is necessary.
The two time-states of charge, in regard to position or spatial displacement, as well as the two types of charges, require that one-dimensional models of charge be defined on a stable 2-dimensional discrete hyperbolic shape so that there is a geometric rotation between opposite metric-space states.
Thus charge-size and the size of 2-dimensional discrete hyperbolic shapes within a size-containment-dimension context are linked together.

Thus, isolating and cooling charges (as cool as the cooling-process allows), as did Dehmelt, might be significant in regard to measuring the range of possible 1-dimensional spectra of charge, though holding the system to a plane might make the context irrelevant.

There are natural stable shapes, those of odd-dimension (3,5,7,9) and with an odd-genus (where genus is the number of holes in the shape, eg the torus has one-hole, or a genus of one, ie the genus is the number of toral components of a discrete hyperbolic shape) which when fully occupied by its orbital charged flows are charge imbalanced and thus would begin to oscillate, and thus generate their own energy. This would be a simple model of life.
Thus such a shape which possesses a higher-dimension could cause the lower dimensional components to, in turn, possess an order which can be controlled by the higher-dimensional shape, through angular momentum states (properties).
Down in 3-dimensions this control by a higher-dimensional structure could be the complicated microscopic-and-macroscopic structure of life, which appears to be run by complicated molecular transformations.

This is simply about assuming that stable shapes determine the underlying order and stability which is observed, and the fact that these stable shapes (mathematically) have a dimensional structure associated to themselves.
However, according to the currently accepted laws of physics both the stable properties of quantum systems and the stable control which is possessed by life are unexplained (or unexplainable).
The patterns of stable physical systems are unexplainable within the current dogmas about the material world, since the current dogma is based on the dimensionally-confining idea of materialism, and within such a confinement, descriptions seem to be based on indefinable randomness and non-linear systems (or patterns) defined on a (quantitative or coordinate) set which assumed to be a continuum.
Such patterns are fleeting and unstable, though the decay times can, sometimes, be of relatively long duration.

Suppose human life is associated to a 9-dimensional shape of an odd-genus, then such a shape is an unbounded shape (noted by Coxeter), and thus it could well be relatable to many such 11-dimensional hyperbolic metric-spaces (why should an unbounded 9-dimensional stable shape, generating its own energy, be confined to any particular unbounded 11-dimensional containing space?) wherein the living system's lower dimensional (material) structure may be quite different (in the new containment structure), and thus the living system's perceptions and interactions could also be quite different within other 11-dimensional containing spaces.
This is a possibility which is not based on DNA, rather it is based on stable shapes being related to stable contexts of existence, which exist in a quantitatively measurable (and stable shape dependent) context of containment. Indeed, it is the molecule actions and living system actions which are conforming to the ordered context of a (high-dimensional) living system.

To re-iterate

Existence is about partitioning an 11-dimensional hyperbolic metric-space... ,
(as well as its unitary structure, which is associated to the pairs of opposite metric-space states, defined on each metric-space [or shape])
... , into different dimensional subspaces, where the partition is done by a finite set of discrete hyperbolic shapes of specific sizes, where size is controlled by constant factors defined between both subspaces and dimensional levels, so as to form a construct of set-containment based on dimensional-size sequences of the partitioning shapes, so that the containment-tree-of-subspaces determines the type of geometric properties... : charges, nuclei, atoms, molecules, crystals (condensed material-components), (life), planetary bodies, (life), solar systems and stars, (life), galaxies, etc... , which can (might) exist within any of the containment-trees.
Interactions between material-components is defined by a set of discrete connection-operators, ie locally defined derivatives related to local coordinate transformations (or fiber-groups of metric-spaces), and by the usual 2nd-order dynamical and geometric (partial) differential equations of classical physics, where the stable physical structures, which result from interactions, are the discrete hyperbolic shapes which are both
(1) in resonance with the geometric-spectral properties of the finite set of discrete hyperbolic shapes partitioning the over-all 11-dimensional hyperbolic (containing) metric-space, and
(2) fit into the containing subspace (due to relative sizes).

That is, the currently accepted (2013) context of (partial) differential equations... , defined in either a geometric context, or in a context of sets of operators acting on function-spaces... , which are used (today, 2013) for the descriptions of physically observed properties, is really being defined in either the indefinably random or the non-linear context, and this is because these operators are too narrowly confined, and thus they ignore the full set of existence, ie it is a context which ignores the bounding (or confining, or restricting) very stable context of containment, and the relation that a "finite spectral-geometric set" can have, in regard to, allowing (or requiring) a stable quantitative basis for a measurable description of the (measurably stable) observed properties of the physical world, as well as the world containing stable physical systems.

That is, a discrete operator context is needed for the physical descriptions of the underlying, fundamentally stable set of physical systems, which are defined on each of the different particular discrete contexts of... : dimension, subspace, toral-component of discrete hyperbolic shapes, and discrete time-intervals... , where each of these discrete contexts needs to be considered in order to fully integrate the bounding stable discrete hyperbolic shapes..., within which the containment of existence is defined... , so that a measurable description can be correctly related to physical descriptions of the observed stable systems.


Note:
No comment to the mind-phantoms of the propaganda system, where the point of the commentators is (essentially) always about issues of social-class, or equivalently, the commentator is claiming to possess a socially dominant position in regard to the language of the propaganda system (the current rational interpretation of the world, as proclaimed by the propaganda system).
Apparently many of these comments are fundamentally based on the commentators' inability to read (or does not read) and comprehend.
Perhaps these "careful" commentators should read Physical Review (which is supposed to be about physics, but which is now (2013) about speculative math, which, in turn, is modeling an illusionary world) and clamor to the editor-authorities about the poor abilities of the Physical Review authors to express ideas in a comprehensible manner. Indeed, physics is failing since the ideas its authorities express are not comprehend-able by anyone (including the authorities themselves), as they are certainly unrelated to practical creativity. Perhaps these critics (who apparently believe in the absolute truth of the propaganda system) should smirk about an indefinable probability structure for a descriptive language which can never get at the correct answer concerning: nuclei, atoms, and molecules, as the oil companies whine about CO2 concentrations in the atmosphere only being a statistical correlation with global warming, and thus not an absolute truth... with the implied message being, that everything presented on the propaganda system is an absolute objective truth.
That is, the probability based ideas of particle-physics and string-theory are more closely related to wild-speculations than is the correlation between CO2 concentrations in the atmosphere and the heating of earth.
The authorities claimed clean cheap fusion-energy would be available by the end of the 1950's. It is still only two-years away.

But ideas are simply ideas. However, ideas can be related to (practical) creativity, and it is the propaganda system which places such emphasis on the upper social class (the owners of society) possessing a "proven" absolute authority, but if authority requires that the "authority of the propaganda system" be associated to a limited number of ideas, then, in turn, this leads to a limited the range of practical creativity, but if it is true that a described truth can only be related to a certain fixed set of assumptions, contexts, and interpretations... ,
(ie if the upper social classes actually did possess an absolute truth, which is implied within their propaganda system, then please solve the obvious set of fundamental problems which go unsolved, and because there is an obvious set of fundamental problems which go unsolved)
... , then this has resulted-in science and math being so ineffective, especially, in regard to science's relation to practical creative development.
But a "precisely described truth" does not have to only be related to a certain fixed set of assumptions, contexts, and interpretations.

Current science and math is trapped in a narrowly defined set of dogmas, which result in ineffective math models, which are placed in a... . quantitatively inconsistent, unstable, and chaotic... context, and thus precise descriptions are being based on an ineffective descriptive context in regard to both accurate (and sufficiently precise) descriptions and the descriptions being related to practical creativity.
Current science and math provide limited descriptions which have neither descriptive-value nor meaning (they are incomprehensible [in regard to valid interpretations of observed properties], and they are of no practical value).

This is, in fact, a much more positive statement than anything which the propaganda and its army of experts, and army of nay-sayers, are capable of expressing, since this expression gives both a solution to the failures of sciences, and it provides a viewpoint about society consistent with the human nature of people wanting to seek knowledge and wanting to be creative, and it is a math model which transcends the idea of a material world (allowing for a model of sustainable creativity, where expansion does not depend on destroying vast reserves of material resources).