Wednesday, May 2, 2012

The Quasic Torus



The Quasic Torus

L. Edgar Otto  
02 May, 2012

From this view we can imagine the exhausting of symmetry operations between rotocentered spinning objects connected in a quasic space by permutations of three of the four color codons by which the directions or spins are ambiguous but can be distinguished by relative comparison to each other in the space.  Yet, as I present here again the gene compass  of 64 things in a chain code, the codons read in a cycle of every other one so as to include all 64 triplets once, that from this chain given a cyclic sequence we know the direction of at least one point in the chain so as to compare any of the 64 directions as if a general compass.

Clearly, from this introductory topology where a square region can by a symbols for a torus it can of course represent a cylinder or independent objects of various orientations and spins in arbitrary placement in an array. It can also represent Mobius spaces.  Imagine then a relaxed space where these are operations in some order as a notation meaning apply to the space one of these topological functions. How they related contiguously, matching or not is the question in indefinite extension of what we can link by manifolds of loops, knots and braids.  In general on the same level of considerations this can by many ways represent our various ideas of inertia such as mass or gravity in at least the plane as a unified single brane system.

But there can be higher symmetry operations and even in this case, as if the idea of wrinkling of say a torus in a space representation we can have distinct torus like symmetries that are contained only in the non necessary abstract array in non necessary directions or order so in a sense this is an expression of symmetry to any natural dimension that acts as if it is itself a more generalized symmetry operation.  Such wrinkles which may as if a fractal fill the space as if to fill it with wormhole mouths and connections (TGD like) are in a sense independent wrinkles which as a model is the generalization of strings not a zero reduced object in dimensions.  Nor are these the symmetries of iotas or point-strings or rays. 

In this sense the difference between the wrinkles and the quasic tori can itself be suggestive of a higher order of inertia's.  The unique description, quasi unique of a given entity such as the hot and cold spots of the WMAP or the regions and continents of the earth are of the same general form but rather arbitrary to give street names. In this sense no particular arrangement including considerations of entropy states is privileged save to some centered observer in his environs and orientation.  The anthropic principle in this sense may be inclusive of all entropic regions in the general sense and loses its abstract patterns as meaningful information but of no intrinsic philosophic privilege positions.  That must come from more advanced concepts of the Omnium.

That we can orient the chain of codons does not mean the orientation connects by necessity some development of its meaning or expression or tendency in potential of information- ideas to some degree have this intrinsic ground to adapt to states of permanence of memory stored in the field or vacuum as well when these are needed to vanish which is not the instantaneous case we imagine as if a process of transformations as such in quantum theory as far as the local and unique identity of a particle goes.

Some of the viability of an actual sequence of proteins or polymers does come from the systems context but not all and the context can reconstruct the sequence from seemingly vanished information as far as materiality goes. Or beyond chemical concerns tissue can self organize and differentiate.

It is here also some of our recondite constants may obtain uses rather than be mere curiosities in our mathematics.  For example Euler's constant, or the residual differences we sometimes find when we attempt to construct charge difference models between flat space and a brane in which the path so described in terms of the natural log base is after all a geodesic on that part of what we can represent as a partial shadow of hyperbolic quadratic curves.

In the braiding between these rotocenters of the chain codes as quasic regions we can resolve the count of things that ultimately revert back to the simple four matrix that is divided into the ten elements of rest and the six of which we presumably describe the electric and magnetic fields including those of neutrality or alternatively the quarks and this happens not from analogs of patterns of matrices but is a condition of foundational space itself.  Alternatively we can have the triality or trinity of the quark model as if primitive strings that is an inevitable and unique stage of theory.

Of course there could be hidden or lacking assumptions in this model presentation, but as physics we observe and imagine that somewhere these thing tend to fit together to some degree and is not just a coincidental system suggested, that even residual unity if that is the only thing of unity has to be explained and not adequately by absolute uncertainty or randomness as the preferred but not unique in general description as the quantum theory.  That we can have the unity of theories under higher symmetries suggests this is a normal process in the universe and that short of an open view of our vague concepts of Heaven, there are lurking fundamental principles as surprises still of which when we find them it will advance our technology and understanding of our selves and the universe.  It is a shadow intuition of shadowy intuitions but it is not necessarily a matter of the supernatural.  If we are lucky to encounter the seed of our inheritance the same principle should apply to our seeds of ideas, and these in a sense apply throughout the reality as if general laws, of thought also across species.

* * * * *


No comments:

Post a Comment