Friday, February 22, 2013

Confluence IX (Thinking in a Quasifinite Box)

Confluence  IX  (Thinking in a Quasifinite Box)

L. Edgar Otto  22 February, 2013

*10:50:44 AM   Thinking in a Quasifinite Box:

First we have the finite question of what can be the inside or outside of a space or system to some degree of physical entities separated at least from an internal singularity viewpoint as absolutely empty space.

Debates such as the emphasis on a finite world of resources that may lead to limited exponential expansion and great consequences, such as issues of fossil fuel as energy and environmental change culling the population sustained are radical when pushed into a finite or continuous stance only.

For while a sustainable growth may be regarded as illogical from an expanding viewpoint it is not necessarily the case that higher and foundational states will not be reached responsibly despite the independence of the modern term science over the more general span of research as natural philosophy.

In the overview the stability is somewhat independent of the equivalence, in physicality and in abstraction, of linear or exponential growth systems, reversible and irreversible.  Thus a moderation of view as stable and unstable is a conceptual equivalent idea in a sea of or single singularities to which we may embed the unity of symmetric metastable systems and predict their directions within some interval of time.  In not questioning our core assumptions at this foundational level our theories of everything may not be comprehensive and clearly inclusive of the very idea of unity added between our systems.  Paradox and even contradictions may at times be helpful in our breakthroughs beyond our too narrow thinking.

In music in particular, this tension in the spiraling form of step or logarithmic ratios, the grounding of finite descriptions into a unified matrix (that itself may represent such a singularity) we may exceed the quasifinite color patterns beyond the chromatic- in which case, and by ear, we can extend chords beyond four notes... in effect we see the octave itself doubled with pairs of notes, C to E, by which we might extend the idea of scale outwardly to cover more notes on a keyboard beyond the 32 or 24, 7 and 5 arithmetical patterns.  This is to say, in our perception of sound in its linear reversals we may exchange what seems directions of impulse as notes are presented or fade or not hear some somethings we can feel of vibrations, at all. 

In doing this we may go beyond the 13th to find what may be acceptable in our extensions of dimensions as discordant- clearly if the harmonics of a scale were equal in energy the resulting chord would be increasingly discordant in both systems and the lowest note Bb between molecules may reach some limit of that possible between objects to the extent of our technology... the curve for tuning pianos is not smooth at the extremity of ends of the general scales if considered as some form of continuity- so to as we tweak our finer instruments of colliders or telescopes we may imagine this a property assumed to extend to a radical change of the foundations of physics and nature.

As it stands now, in low dimensions and energies, what would we call the E or the doubled octave relation (of which in tempered tuning the frequency matches between the notes) or the C to E binary combination where we already realize in higher notes there there are other combinations of four notes possible, E then a quasic dimensional generation as a 17th... the C itself being a 15th and all the complicated group properties that implies?  Surely we know and have found the pleasant sound in a sequence of notes depends on a space that describes proximity between them, such as I suspect is the general xtalline and fractal like quasic space its original finite and discrete conception.

A scientific natural philosophy is a better pattern of order to expand or intelligibly contain our span and depth of thinking.
Growth has its limits but with facts of wisdom it is meaningful to say that it can be sustained.

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*02:33:52 PM  I've decided to take a closer listen to the jazz era...

*I forgot to mention that from the count of notes to C-E from the chromatic perspective what would we find but a 24, 25, and 26 extension of that spectrum- which brings us to many intuitive theories such as the role of 26 in string theories or how it corresponds between the lowest square number to the lowest cube number of which 26 is in a sense a mediator in this number theory observation...

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