December 23, 2012

Why is our ‘universe’ (Hubble 3-volume) so flat? Exponential cosmic time? Analytical engine?

Why is our ‘universe’ (Hubble 3-volume) so flat? Because all modified global inter-dependent variables of SRM model are far out on exponential flatten surfaces? For example, if one considers our expanding 3-volume as having an additional modified global motion along equiangular spiral 1-manifold, then a tangent vector (i.e. large scale streaming) would be decelerating (inverse exponential declining second derivative) far out on flatten portion of 1-surface. That is, our Local Group motion (modified global tangent vector?) , in relation to cosmic microwave background, changes (decelerates) slowly now, although exponentially. Likewise for exponential deceleration of 2-surface expansion of MGS Modified Global Simultaneity i.e. spherical shell through geometric center of all 3-volumes. Also concomitant exponential deceleration for 3-volume Hubble expansion, far out on such exponentially flatten 3-surface.

Thus cosmic time, rendered as a 1, 2, and 3-surface, is always exponentially changing. So log spiral trajectory drops off inverse exponentially; hence an explosive like deceleration (likewise for all explosive phenomena? see above). Thus currently, all such modified global variables are far out on flatten portion of respective exponential surfaces. Such SRM (Spiral Rotation Model) rendition of flatness, and SRM’s modified global variables etc., have no relationship to inflationary models’ explanation of flatness, nor to gravitation and related critical density, for our ‘universe’ 3-volume, and inclusive of entangled set of other manifolds. Also if MGS is considered as denoting cosmic time, then every patch of manifold shares the same modified concomitant Big Bang description; hence no homogeneity problem.

In SRM, MTCs (modified time constructs), such as Hubble expansion, allegedly are always exponentially changing; such always exponentially changing (also so for all derivatives) cosmic time would thus have a power series description. An analytical function can be expressed as a power series. However even though MTCs (cosmic time) and abstract generalization M1m are exponentially changing, still they would seem not analytical, since only positive definite i.e. STm ->0and M1m  ->0+. But from perspective of overall divergent set M1m≡{ΔSTm ->0+}, then an element of such set is also has an infinitesimal description; one could also describe neighborhood of such element. Thus from such overall divergent conceptual perspective, would one seem to have an analytical description for such set of modified global instants, and thus likewise for matching set of integers?

So for cosmic time, rather than just a chronometer beating out integers, could one also consider the System as an evolving analytical engine, viewed from afar? Hence again the importance of conceptual perspective, even for a description of integers? In a contrasting model, for assumed divergent clustering of primes, wherein if each cluster were considered as an element, then there would be no neighborhood of such element; hence differing in one respect from alleged overall analytical description for set of integers? Also see  TMM


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