Fock Space has numerous pseudal spatial dimensions associated with it. This is possible because of the function of unit shells that act like unit spheres that are codifferentiable with unit spheres that act like unit shells -- this happening in such a manner so as to allow for a numerous quantum of dimensional trains. Yet, this does not disqualify the condition that there are negative-norm-states. You see, if there were no negative-norm-states, there could be no point commutators, since these two types of norm-states work to an extent to recycle into each other This happens in so that the topology of the substringular may be able to flow during the sequential series of instantons that work to form the kinematic activity of the reality of physical energy. This is also because point commutators need a corresponding orientation in terms of a pseudal-field-trajectory. If there were no point commutators, then, there would be no superstrings, since the point particles that comprise any given arbitrary set of superstrings must be in a constant state of conformal invariance. And, heck, if there were no superstrings, there would be no material phenomena at all. So, how does one solve this seeming incongruity? It may be said that a positive vacuum has a large number of pseudal dimensions -- since these so-called dimensions bear a large number of "tenses of imagination" which form countless pseudo-dimensional trains. This is because, in Fock Space, this type of assortment appears to be even more large on account of the condition that the here related wave-propagations -- being more truly outside of the corresponding point particles' commutative Gliossi field -- form a relatively large number of "dimensional-trains." Here is a description that may help one to pictorially see what I have just described.: Take four given arbitrary metaphorical kinematically-based-meshed gears. Imagine the four prior mentioned gears rotating in their respective oscillatorial loci as phenomena that may be interchangeably either shells or spheres. The oscillations, as extended from the "unit shells" that act like "unit spheres" in this case scenario, here, have a common thickness -- as may be extrapolated by a relatively simple variations of parameters. Therefore, when one is to consider the fractal conditions of actual first-ordered-point-particles, all of the point commutators that are here from all of their neighborhoods, you will then find countless potential oscillations that are linear, and also, whose point particles neighborhoods then form what may be described as an exact differential association. (These point particles here are divisible by a minimum-sized point particle, or, in other words, have a Laplacian mapping that has a scalar that is divisible by a discrete number of minimal third-ordered-point-particle neighborhood radian). It takes three or more point particle neighborhoods to form any viable global trait, or, in other words, it takes at least three point particle neighborhoods to form the simplest norm-state -- unless one is dealing with a zero-norm-state. Yet, zero-norm-states always exist in projections that involve a minimum of three or more first-ordered-point-particles. Something is said to be both exact and nonlinear if only two point particles of the related norm-state have outer surfaces that are the minimal point-particle-neighborhood diameters apart (the diameter of one neighborhood of a second-ordered-point-particle) in one fashion or another, while the corresponding first-ordered-point-particles here must also each have a radius that is discretely divisible by a minimal point-paricle's radius. So, Fock Space shares the same 96 spatial dimensions as Real Reimmanian-based space, yet, the said Fock Space shares a fractal of "covalent/ionic" wave-propagation in terms of this here being a tense of bonding that exists among relatively decompactified first-ordered-point- particles as one may derive from the related conditions of Real Reimmanian Space.
Sincerely, Sam Roach.
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