Thursday, May 23, 2013

Fourier Transformations Versus Laplacian Transformations

Let us say, as a comparison -- metaphorically -- that one takes a video cam to record a bunch of consecutive activites that happened in a house.  The video will here show a footage of events that happen over time.  Differentiation is relative change.  Differentiation over time is called a timewise differentiation.  Now, in the substringular, timewise differentiation is known of as a Fourier Transformation.  Time comes in units that exist per 10^(-43) of a second at the smallest.  All time that is considered as actually time happens in increments that are divisible by 10^(-43) of a second.  Although there are durations that are smaller than the smallest units of time -- because we only notice time when superstrings are in an integration of snapshots in which these are basically at a standstill -- durations as to what are considered as time are durations that are divisible by the said 10^(-43) of a second.  A discrete unit means the smallest unit of something that is of that something.  A discrete unit of time is known of as an instanton.  When a superstring goes from one instanton to another, there is a jump that is not smoothly continuous from one of its positions to another -- the said superstring, of which has either the circumference (for two-dimensional strings) or the length (for one-dimensional strings) of the Planck length.  The Planck length is 3*10^8 times the distance in a respective fraction of a meter as the amount of time of an instanton when in a respective fraction of a second.  So, the Planck length is 3*10^(-35) of a meter.  From one instanton to the next, a given arbitrary superstring moves the Planck length and/or the Planck radii per said instanton -- if the said superstring is undergoing Noether Flow.  Yet, in order for there to be any smooth motion -- since a superstring can not rationally jump from one spot to the next with nothing in-between the two positions -- there are distances infinitely smaller than the Planck length, and there are durations smaller than the Planck time.  What then happens is that a superstring exists in a given arbitrary spot during a given instanton.  The said superstring during a vast majority of the said instanton is -- at the mentioned moment -- at a virtual standstill.  After the eluded to said vast majority of the said instanton -- which is known of as BRST -- the superstring enters an acceleration known of as the Regge Action as the said string enters a flow around the Ultimon.  The Ultimon is the connection between all three sets of universes that exist. Ultimon Flow is what allows superstrings of discrete energy permittivity to have some sort of needed inter-relation with all other superstrings of discrete energy permittivity besides the connection that these bear on account of their correlative local fields.  The said Ultimon Flow is also what allows for the potential for tachyonic flow -- if a said superstring is to travel outside of Noether Flow.  This way, not only do superstrings here then have the ability to travel anywhere if given the proper change in environment per consecutive instantons (in physical space that is in those hoop-like regions that are where superstrings are to be at at any given group instanton), yet, this way, the said superstrings may bear a non-changing (invariant) ability to move smoothly from one spot to another without needing to jump from one spot to another with nothing in-between.  This is because there always has to be a continuity of motion between where a phenomenon is at one given duration to the next.  Smooth motion where there is no jumping from one spot to another with nothing in-between is known of the foundation for what may be called hermtian gauge-metrics.  Gauge-Metrics are here meant as very small durations that happen in less than one discrete unit of time.  So, when one puts together these "snapshots" of the instantces in which superstrings are at from one group instaton to the next and so on -- into a successive series of such instantons -- this eluded to integration forms the kinetic flow of motion of discrete phenomena known of as energy.  So, durations that involve actual motion that occurs in less than one instanton are known of as sub-Fourier Transformations.  This is because, if there is any actual motion, then, the sitation is not Laplacian -- because it involves something besides a pure "snapshot" of a mapped-out framework of phenomena.  So, a Laplacian Transformation is a condition of differentiation that involves no actual motion -- it only maps-out the "picture" of what is where during a timeless and motionless extrapolation of how things are in a "snapshot" of where something is at at a pure actual instant.  Please see my other posts.
I will continue with the suspense later!  Sincerely, Sam Roach.

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