Friday, May 27, 2011
General Stereonometry and Arithmetic
General Stereonometry and Arithmetic L. Edgar Otto May 27, 2011
Well, my post today written last night does seem to concern some issues of physics, stereonometry as number theory of which one should compare Lubos post today for the fine details of disagreement. My post is a result of the first few graphs as a formal look at space and number theory which proved rather fruitful and promising after all- and I present it from the viewpoint as to the nature of how we relate to our philosophy of science as the issue of subjectivity and progress if any that is part of our process of speculations and theories. A critical point is that we can use such notations, not reduced so that solid information is probabilistic only in the viewing rather than some arrangement in higher space of the bits of information for it adds little when we view the quasic plane with the proper logical ordering. But the questions raised by things like parity and arithmetical axioms and combinatorial methods afford a generalization for how we can envision space and the principles, objectively, of things in it.
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A most excellent presentation and analysis. I say this despite so many fundamental disagreements as to how the quantum ideas have progressed. This does not mean I imagine a sort of quantum mysticism where the subjective is concerned- but I see how you might see these things in others and certainly the history here is very instructive. Perhaps we do not need to say after all that qm theory is incomplete, as you say- but it needs more depth. What you propose may be the case but that too is clear only on a much deeper level.
This all seems far removed from string theories and would like your take on that- even if there is some probability that theory is dead or alive. The philosophy of course as to how we do science, especially in that age of positivism, carries over to later theories.
In any case if for some reason we ever meet in Europe we should definitely share some Pilsner beer. But I notice it freezes a little sooner than the stout.
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General Stereonometry and Arithmetic in the Quasic Physics Model:
Is consciousness about something or is it something? It certainly seems to have this property which carries over to other notions and physicality whatever the height of its meaning or grounding in reality.
Consciousness and cognition seem to have direction and gain wisdom and structure one way and tends to become chaotic the other way although from a higher perspective the directions may appear symmetrically balanced and at least in the near space and future the accumulation of wisdom as well as the suppression of error on the whole is positive as existing. I have called this progressive awakening and ordering of insights and intuitions, so to bring them into crystallized focus ever more from the cloudy vagueness, "Omnometry" (from Omnium and 'name'). This in itself is a notion that unfolds into our models of clarity, asks the foundational questions ever more made manifest for that hidden, for science, and asks the state of things concerning simplicity and complexity, ends, persistence over an indefinite expanse of space or time and spacetime, and beginnings.
We strive also to find, design, and approach better logic and symbol systems, programs of processes, and knowledge of limitations of systems along the way.
I conceived of quasic space, the quasic grid, as an extension, logically, of two player n-dimensional chess games. In my life on-line I have envisioned its clarity of presentation as a teaching aid or tool for such notions and notations obscured by the beautifully complexity of developing disciplines.
Today it dawns on me that my informal explorations can be analyzed more formally so as to relate the axioms of arithmetic to those of n-space geometry and then to understand, critique, and generalizes its foundations.
From this stance the stereonometry, that relationship in space on our familiar scales
as we are in the observational sense at the center of objectivity and subjectivity, is decidedly Euclidean- and yet this geometry seems to have become a more solid foundation and is used in the mainstream to try to explain cosmic structure.
The problem with visualizing things in terms of spheres or planes is also what problems we seem to have in visualizing, as wholes or parts, in systems and notations as represented as if vectors and partitions over natural multiple dimensions.
The grounding afforded by the quasic plane is subtle and requires a leap into its subtle simplicity. But the logic of it, again more a return to the classical rather than logic like quantum logic of a more exotic nature, makes crystal clear and even allows us to generalize the still vague notions in the foundation of physics- for the plane has its inner logic built in if that is the measure of a theory, as if these foundations still are assertions made from pure philosophy, itself for its detractors a sink of their glossed over myths.
When we find new, powerful, and seemingly complicated and reductionist systems such as string theory, these bring up their own philosophic myths and new vague problems. Yet one grounding myth, an essential part of the general philosophic reality and a useful tool of analysis and discovery, is the privileged statistical view as a method of enquiry - a sink of what is not complete in quantum explanations along with a certainty of such notions, some notions like this uncertainty still vague or adopted only in principle and long use giving accurate results. Yet, the squaring of things is only the beginning of understanding what happens when we go deeper into such virial space structures.
The term quasi- as a prefix (quasics was first conceived as special places or objects, then not known, in space of different types of matter and dynamics as if less uniform laws throughout the continuum, at first a crystalline concept and only that objects called quasars later coincidentally because there were less Greek terms coming into English to associate with terms of science) itself contains the sense of vagueness, especially as a working term, to combined systems and notions. In that philosophy can be defined as a shifting of meaning and terms, much like mass has changed in meaning in advancing systems of physics, part of our problem is linguistic and keeping useful ambiguity open. Nevertheless, such ambiguity can crystallize into what was remote in the parallel and rhyme of notions into unified resolutions as imperfect as our language locally and for some systems globally seems to be.
We have for example, should we distinguish the structural parts from the count and whole by the quasic processes, the idea of a possible generalization, as with many things beyond the compass of our perceptions and differences as say "quasi-commutativity". Even a quasi-distributivity as the heart of algebra resulting in a greater unity of theory.
A plane has many more properties, such as curvature when compared with its contained linear transfinite case. Yet it seems to factor naturally and raises questions of a holographic principle as primary in nature- that in particular of surfaces compared to volumes in vague theory as far as the information and details go.
Thus in a plane we can say there are two directions of quasi-multiplication-addition
and take a certain ordering of them, say A x B. Yet we can also see the plane as a series of logical crosses, its indefinite (ie quasi-) span and for grounding duality and virialty, C x D.
Furthermore we have a depth that may correspond to hologram notions (and ideas of density and decoherence and so on) just as the span can be seen as more fractal like structures (although the view does not have to depend on the complex plane or any such numbers) yet this relates to our idea of applying group theory and can be seen to stand on the idea that some element contains an inverse that too a quasi- notion as in the still open question of parity and signs. Moreover, the idea of dimensions as inversions, the chirality and charge are quasi- as inverses. Here we can call this philosophic dimension E x F.
A grounding pixel or quasic yet indefinite scale or region of generating unity or null space has these six combination's and permutations available for its "degrees of freedom" of what forms we take together as partial descriptions if or not the expression of forces have or not equal weights in all directions.
From the view that space is an abstraction like say gravity or substance, number as also an ideal realm, Platonic reality in its own right (matter or even the conception of opaque or dark matter and its resolved views and processes where there is at least quasi-rotation or that quasi-translation, the ideal reality of a physical particle can be identified as an "operation" in the processes of the quasic and other matrices so numerically describing them with operations. This might be related to consciousness as something or about something, our theoretical sense as G x H.
Although our mathematics of planes seems to come later and so trained we leave the earlier world of the finite and discrete, circular motions only, this notion itself involves quasi-curvature.
Clearly, after the halving of nerve connections, a duality, in the child of two or so, a child and the first words of humans relate to learning space relations. But it is not clear, in the complexity of the human mind if in fact earlier or primitive people, or in some issues as autism, develop notions of space and time the same way- nor that ultimately they are inferior to Judaic-Grecian Western Science. Still, we should carefully consider a founding principle of psychiatry: check first for physical problems (such as toxins).
Not that a pure quantum system, especially with amplification of generalized complex numbers can not up from the anarchy or through the chaos explain and ground the reality of space, a quasi-continuous space at that, but our biological models including the mental do after all conform to quasic models with wide adaptive freedom.
A further example, at the forefront today of the question of cosmology as to the role of the idea of multiverse and similarity in general and so on is my term Transcontinuum (Xcm) to be followed by a more general continuum, the Ultranscontinuum (Uxcm). But a better way to juxtapose and quasi-organize the concepts would be to put Xcm mirrored by a "Ultracontinuum" (Ulcm) before our notions of a little higher synthesis into the Uxcm.
In these philosophic models that seem to evoke ideas of inflation cosmology or of a more steady state structure as a more general scope of flatness and infinity we have still further to go to understand space and its many manifolds in the the landscape.
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Note for comment on Kea's blog yesterday: in her ratio 48:x:24 which she reduced to ratios involving 2- I posted 120 as a higher level- but I meant to continue the observation that 48 is the rotations with inversions of a cube, and 24 the rigid rotations (Alternating Group) half that value--- so perhaps I should have made it clear as 120, 240, or 480 when these numbers come up in particle values- and with Dave137 I was distracted by thinking about Eddington's method of finding this dimensional constant involving 120 + 16 (and by fine adjustment probably over the general structure of space or thru the changes hidden or overt in the Omnium, the plus one or so added to 136 as an obvious matter of these quasic numerical and geometrical principles. Also the logic of such arithmetical multiplications where in some sense the octonion and quaternion information may have quasi-ambiguous representations and partitions the arrangement of vectors can find representational and universal structures (the singularities his monomarks in the Uranoid) such that the use of these things is quasized as well as being a qualitative and quantum case for the underlying physics.
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Note and links:
http://www.sciencedaily.com/releases/2011/05/110525131701.htm the mystery of autism continues.
http://news.yahoo.com/s/afp/20110527/sc_afp/australiaastrophysicsscience This is an interesting news link on "missing matter" I see a relation here to some of the recent postings discussing this sort of thing as geometry by both Lubos and Pitkanen and do not see anything about his on the popular science mags yet.
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Illustration from the art of Bonpa who wants to study physics again and leads me to the thought as I see his soul develop in his art, its highs and lows- that it is hard for me not to disagree with those who say mental afflictions will grow worse with time hopeless to resolve, but at least if we grasp geometry and thus the right relations with others for an insight, such hearts and souls inevitably get better. This drawing says something about perception and space- but after all he does dabble in the cubism within the surrealistic and it would be hard while his painting to decode what emotionally and actively went into them so to replicate his style.
A Poetic Interlude:
Writing Ourselves out of the Play L. Edgar Otto May 27, 2011
Not so much that we are forgotten
even our glorious monuments bare empty names
But that while the living we knew not life's depths
immersed, awake beyond glimpses, in touches and nectar's
The Oasis face the arteries out of the way
diners and drinkers, faces regular in the neighborhood
New crops of uncontainable youth nostalgic in worship
not their own, coats and colours, seeing not the aging veins
Sketchbooks, diaries and doodles not read outside the roles
the pat reply to half hearted questions of now and soon their place
Smiles and frowns but shells of hidden joys and pains
shrink away or like into your face, keeping to the maze, rat race
But was there nothing else better than this long for to come
or in the warmth while bonding too far past the play and kiss?
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The failing schools some say are turning out students some say
are ever more brain dead... they accuse me of arrogance and the limiting of
clarity in communications when all along I am the one that speaks English
while in their leveling and forgiveness of the Vulgate they have taken away
our wolf fangs only to magically find truth in their witches cauldron far from the
spirit of Shakespeare.
The Baker's Dozen L. Edgar Otto May 27, 2011
King Joshua Jacob James
went to the naked games
whilst peace between the juggernauts
The spirit within their language a babble unconfused
cradled them against the hoards they feared
as if forever time lasts in their caves and tombs
Or echoes returned to them from sand crab burrows and
sea shells long abandoned by their mollusc meat
save for kids and Joey wolves loyal or whimpering by their feet
As all things oblivious to short lifetimes
slipping by, measured by stations of cycled seasons
hot and cold their hopes return, night owls too with moods reversed
A way of life subject only to acts of God or self-deceptive lovers
Graded eggs in the nest, yearbooks, Bibles tornadoes carry far away
from their quotes of tribal law, chapter and verse
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Touching base with the science magazine tonight since I am here:
http://www.sciencedaily.com/releases/2011/05/110526064802.htm Memory and Matter?
this new research of interest perhaps to Ulla per our discussions.
http://www.sciencedaily.com/releases/2011/05/110526142957.htm Xtal rain ?
the same old why they are there accumulating disc theory- that works but has anyone ever considered the forming of these things in a creative, generative space?
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