L. Edgar Otto 17 May, 2012
In the vertical and horizontal of quasication of the Cartesian grid, the linear extension to the aleph 1 transfinite as the continuum, thus a sea of singularity segments in a plane conceived as a brane made of strings, we have the figure ground ambiguity as cylindrical bands in contiguity within the particle or wave four fold rotation of the Feynman diagrams.
It follows from the quasic view that such forms strips or bands (or shells) that alternate and can distinguish depths that can extend to higher conceptual or illusion dimension in flatland.
From the quadratic properties of such planes a string is a segment between two points or foci. But as such a positive curve that reduces to the apparent distance between them from one ambiguous scale reduction direction becomes the positive mirror image of the same quadratic curve.
In terms of space as elliptic or hyperbolic geometry as manifolds, at this linear interval (a measure as if span or depth as if fixed at some reaching of absolutes), the string does not intrinsically distinguish which is the case of which sort of quadratic curve can mirror another at the linear center of three quarks in any angle or direction in the plane in flatland.
It is in this quasic sense and in the ordering of events from some original cell of quasic space that I have maintained as a generalization of the methods of a Feynman diagram where in the ambiguity questions of how we can understand the general space as if infinite in its history or apparent history or as a cloud of probability accessible or not to some concrete classical conception of a coordinate space.
Yet in the absolute sense while we cannot distinguish in the nuclear triplication extending such reduction of the diagram to strong force effects as to which quark like entity is at an end or within the interval in a string, one by definition of the three in a linear sense as relativistic, it clearly occupies the apparent center halfway between the foci of the quadratic.
Moreover, if the right angle inversion to distinguish mass from energy of a quasic boundary is itself ambiguous as a plane of which the totality in a sense is a focus or a point like or sting like singularity, related to the Aleph 0 transfinite, the third quark is in a center fixed halfway in relation to the potential infinity, thus on this level of symmetry as to how we perceive (as illusion or actuality) some quadratic manifold or its range or mirror as a transcendental inverse, so simplified as if a slice of the more generalized space we can arrange quasically square sub boundaries, four fold, and eight fold of the dynamic dialectics as a background to contain ambiguities across the clear definition of a continuum as the dimensions of halving or doubling the power of subsets and this includes the linear flat spin directions in an interval as a considered as a dynamic ray from an end and an open direction in a point-ray string like (Omnium) particle (Iota) in which we have the ambiguous or non necessary physics of particles or anti-particles, or some depth focus of self dual particles of which the duality and intelligible count of sub parts is also that of the Platonic or higher dimensional symmetries or asymmetric functions as a duality of polytopes.
The idea of a mediator as a particle in rest or motion abstractly is that of such ambiguous dialectics of what we consider the depth or span within an informational bandwidth is the oscillation or conversion into this geometric reference frame or focus of flat duality where the question of what are hidden properties or dimensions, symmetries, as if we are able to observe as well imagine them, that the general space or time of this universe can in actuality be so extended beyond our natural lower dimensions of space is essentially asking about what is one equivalent pattern of things.
In the windmill patchwork of such illusions of ambiguous regions we naturally can find rotation centers (fylfot or its mirror the direction of interposed triangles and their shadows, at some point of which the dynamics between these rotocenters, as four fold orthogonal, that the plane can be doubled in area that these rotocenters are a doubling of the interval between such rotocenters with all the properties of as some general symmetrical positive place over the tiling of such a flatland the sense of symmetry are intrinsically fixed in spin without the need to so flip them in say a higher brane dimension. Superposition is a quasic phenomenon and is at least eight fold, octonions in complex space terms, for polytopal representations of collections of such objects.
In the sting interpretation as six fold, where we consider also the primacy of these sorts of complex numbers, we can define or extend flatland as if a flattened three space where the congruences of regions may or may not overlap as in the generalization of such Eucidean effects by Whitehead. A singularity complex conceived as compactification of broken symmetries or dimensions may make for a general decoherence of such regions imagined as if in a matrix of which the information they contain as if in a conceptual black hole seems totally isolated, even in effect a vanishing.
This much seems the state of the art of our enquiry into the nature of the physical and mathematical world at this time.
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