Monday, March 19, 2012

The Origin of Symmetry and Abstract Space Fillers


The Origin of Symmetry and Abstract Space Fillers

L. Edgar Otto 19 March, 2012

From one view symmetry is not foundational. It can be the result of the fact of asymmetric flow which is in a sense not foundational either. The observed structures of bilateral symmetry in organic life and especially in the overall design of the brain as well the hierarchy of the vertebrae to which we find relevant patterns to recognize as we ourselves are creatures of higher space, finds the world resonating in our evolved perceptions with intelligible design.

That things have a standard of balance, as with our idea of what equations mean in general is more a philosophic statement as well that we may assert something as asymmetric. Let us think about the word, in it is the idea of a general coming together along with the idea of a metric. For some this implies a discrete and probabilistic ground as foundational for the world. Yet, in the Omnium and its flow the structural topology permits a sort of measure over the lifespan. By the abstract space as a question of orientations and direction in an environs we can assume by general symmetry consideration a level of laws that promotes at least in some compass of physics the probabilistic view.

Kea has pointed out the significance of the Associahedra as they are pointing to higher generalizations, are asymmetric in the combinotorics of sufficient complexity, and for any given dimension there exists only one such Stasshef polytope. This idea too can suggest for the definition of dimensions foundationally and further generalized in abstract quasic space that such laws are directions more along a deterministic model in the succession of numbers of dimensions.

In other words it is clear that the stereonometry, a sort of symmetry in itself, at least pure four space and quadrapoles and so on in any two power dialectical relation as concrete in the lifepaths and span of the Omnium.

In particular the higher dimensional relations in their concrete effect on physical structrures such as particles, the point count of them within limits and reduced integral manifolds to which that things being at right angles also needs a deeper foundation to describe intelligible topology.
The reduction to this space of a polyhedron, a Lord Kelvin space filler which itself as a shadow polytope of five dimensional structures is not exact, the representation in a static Euclidean world embedded in the non-Euclidean would intrinsically be slightly concave.

It has 24 points and 14 polygons of which as integral and more definite singularities the numbers have patterns of which one can imagine the various lattices and manifolds to which physicists try to apply as group theory. But in this reductionist and possible supersymmetry reduction of vacuum structures the pure number also has fundamental patterns. Yet with the introduction of these dimensional directions we by making a structure asymmetric have actually increased the range of symmetries so as to distinguish them from each other into various mirrors of a field. Electrons then become things across atoms such that they can flow as if continuously and and in discrete exchanges between atoms not just determined by the heat of the environment, that tends to change the placement in the ground state of electrons in the subshells of an atom.

The PeSla solid as described in the holographic volume and not the factoring of the surface of a region is in this sense depending if there are symmetrical mirror changes or if these aggregate in higher symmetry patterns along the same lines independent non-necessarily of scale but not strictly invariant to scale over the Omnium, these then, at least Euclidean as the analogs in a plane to discrete circles in space are obviously Abstract Space fillers. The same laws of symmetry apply for other concepts of general symmetry such as with the Icosahedral Group.

Just as dimensions need a more general definition we find that the idea of reduction to any discrete point in a manifold is more general and can be a matter of measurable change and degrees relative to the steady state lifepath of the Omnium. This does not forbid the remote or extreme cases where we make certain conjectures for standard topologies.

Nor does it support arbitrary concepts of varieties as unique possibility's of the string landscape that do not intelligibly react together to so define what is symmetrically neutral or creating or breaking and to what other than a local scale we may define particles in families of exclusion or condensation- for symmetry is foundational over the default steady state Omnium for these standard theoretical effects.

We could say that the laws of abstract symmetry over empty and indefinite space evolve into clearer focus along with the unique lifespan of the Omnium- but this means also that at certain natural bifurcations or decisions that are quasindeterminate there is the intrinsic possibility for error in the replication of patterns, for example the idea of cancer as a potential for unique development from what from some view of reduced symmetry are chirally indistinguishable states as the genes are expressed by analogs to the underlying symmetry which resets as default at actual origins. We note also that in the vanish of vectors say of combined and less entropy of surfaces that these may be independently so for any of the subcells. This is not to say that the uniqueness of this representational description does not have physical counterparts as if a solid ground, for the general system is intelligible to both the metaphysics and the physicality. In this sense too symmetry and coherence of systems are loosely but intimately related but so a little less foundational than the general question of what is encompassed by the contrast of existence and non existence at some abstract coordinate space or its generalization.

Of course the earlier prime physics (relativistic and quantum)are not surpassed in the intelligible unfolding of wisdom, that is, made obsolete beyond their compass of a progressive place in a logical hierarchy. The ideas of viriality and normal three space, the idea of geometric operations beyond the usual reflection and translation and rotation and so on, can be foundational at some place in a scientific and physical hierarchy of design.

Those who suggest that the theories of Einstein are under attack really are not doing deep science but have some sort of cultural agenda where the experts if honest scientist may be a little bewildered as to why it is always Einstein or perhaps like the common understanding that all things are relative by the masses justifies a less rigid order and unique reality of theories of necessity unto the pointlessness of any higher purpose, values, or cosmic laws. These liberals so to speak start the arguments, the dialectics of debate close to the core of the design and beliefs in an individual soul and within the bounds of their narrow mental universe take either side of a debate in order to resolve it closer to their agenda that whitewashes the rest of potential thought and humanity.

For the quantum theory at the foundations where symmetry seems as simple as action and reaction in its directionality and that in the pristine scientific world as with the idea of a perfect and changeless God, perhaps the pantheistic one of the excommunicated Spinoza far from the wisdom of Plato before ideas of religion and science split the same is true in a dynamic reductionism of these higher concerns. That and with the idea of negative extension and the formalism of how such reverse numbers are extended, as by Newton beyond the concrete counting of Pascal's triangle such that the result in the math corresponds to where discrete exclusions appear, we find in the quantum theory, even where the descriptions are equivalent as to if it is formed as a wave theory in continuity, or a matrix theory as discrete, that the idea of which we can explore as more foundational, in particular the kinetic and potential difference as Rowlands' virality, that action is divided by two, a one way mirror, a unit and cyclic product that meet at half infinity, half singularity.

What then do we put together into some theory of measure, and to those who object in a world where the subjectivity of science is the unknown or unspoken, subconscious influence of our unity in monotheism emerged, reached, and developed only to become a broken symmetry again, or a symmetry of endless tiling that from one views or one against it, that intrinsic flatness at the core of things, even of Riemann in the microworld at some zero or half place of action or subconscious imagined zero point in a higher space, that we can discern who in the communication to the world of new science are merely deluded theoreticians of syntheses for any general unified theory rather than some idea of in the ground of the real three space world those with the more scientific and exposed hidden things by analysis?

We really are structured for the search for a unified theory and for some betterment of ourselves and control of our own evolution in the world, that a synthetic state of purpose arising from sentience that seems there with half understanding in our expanding core or center. But who by taking thought can add one cubit to his stature?


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