The Thinker

The Thinker

L. Edgar Otto    25 December, 2012

After the hustle and bustle of the holiday, we try to do more than we can in travel and visiting than what goes according to our plans.  Gatherings cancelled, meetings missed, quiet again and the work'a'day resumes; after over sleeping with dreams of cashing checks in Canada only in increments and not the whole with freedom to travel anywhere, the details of the border town, I returned to a few notes on the foundations not at all sure the analysis of the fundamental axioms of arithmetic are sound or original.

I received a framed gift of a photo of my second grandson his parents picked because of my flirtations with philosophy, the symbol of The Thinker.  I connect this with the profound and influential sci fi movie, the Star Baby in that in my advancing years the series of rooms in reflection on my selves and the awakening as if for wisdom it all has to begin from a new born perspective again, hopefully new and original. 

Whatever else we may be in the great conversation as we learn thru time as debaters and lurkers in the rooms of the founders and moderators on line, and the bureaucrats, we all stand at the expanding frontiers to bond or just socialize, and yes to solve mysteries if we try in creative science and philosophy.

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Let me call this no-numerological stance of dealing with numbers, the integers in particular, pseudo-arithmetic, that term to dwell among the other terms of what becomes the opposite of senses, the irrational, imaginary, metaphysical  and so on...  The reality, the consistency of facts that connects the real or apparent consistency of imagination, the old 2 and 2 are 4 rather than say 5, is the general question of our ontological curiosity, a journey and deep connections in the math and mystery of our being.

I still have a difficult time communication the excitement and profound sense of what such contemplations mean to the general and yet still wider picture of what we are as genetics, for one barrier is that such studies, even among the wise can be seen as something there, yet exceedingly boring.  Let us just note then that the implications in my view of things holds very worthwhile pictures that may awaken us in our time to a bigger picture of the whole, perhaps make our lives easier.

In the hours since my last post, times of waiting and the easy flow of writing and thinking to which we may as well do something with our time- I have nine posts for this last part of December which I will post after this update, for reference.  I am not sure these are of the best quality, then again for those as in a booklet of poems around a similar theme we can see the growing clarity of such visions as if the universe itself has a stage of learning.

Included in the post and the continuity of thought developing, there at the frontier of what is objective universe and sentience,  the pseudo-arithmetic as numerology and methods that precipitate into clarity does seem to transmit to the total vision its forms of haunting connections and methods to the final products and unified integration of what is left of the personal paths that designs our discernment.

We see my use earlier of the profound numbers such as 666 which is essentially a triangular number and 153 with the digits the cubes summed reaching that number again.  All this may be obvious in number theory, yet it seems a little more obvious to me in patterns and pictures.

In particular, the possibilities where lines or circles interconnect at a point or not, of a system with a real center or not, these extended naturally at this count of possibilities by structure alone of the intersection of singularities to which as our abandoned but early suggestions for notation of that division by zero concept is not solved and is inadequate where at the extremes our equations still break down intrinsically.

I have some obvious if still vague projects that need to be factually sorted out, and that intuitively hold my attention to which my earlier generalizations may have been too naive and but the beginning of new systems of facts and dreams.  The paths of 32 edges meeting each point twice on the hypercuble, or the wider extension of Conway's color matrix of matching colors to which I have to abandon my order and sense of labeling come eight cube colors to match and yet in the wider development in this direction (or I have followed others) of generalizing such simple arithmetical methods are examples of my current directions of informal research. 

In the Conway type matrices the color matching with the restraints of what pixels are singularity centers in a given dimensional space the solution of what matches may be obvious and simple in four space- but the lack of general clarity in this applying to theories of how we ground our physics seems to me a matter of debate and confusion also as to the possibilities near our adjacent dimensions including the errors we often make such as doubling of dimensions beyond the natural, and usually irrational expected volumes in our flatland thinking. 

In the labeling of such hyper-Conway counting and matching matrices the general idea of compliments and mirroring do give rise to shadow or ghostly combinations of apparently constrained sets of colors, unitary, bicolor, quadracolor, and in the intuitive idea the octonions follow of octonion 8-color when these things condense or combine, thus shadow symmetries and particles in our psephos (calculus) of these quantities of departed ghosts so to speak.

But it is the very subtle differences within a clearer labeling and count of such mathematical and physical entities as broken subsystems that can give us useful ideas as to how in some various level, as if the differentiation of cell tissues, we can understand and influence how such complicated and diverse biological systems work that in experimenting with them we know more of what we are doing.

What do we gain if in the core axioms of arithmetic we follow in complexity the logic of these assumptions as if only this foundation is the concrete?  For in this intrinsic uncertainty of arithmetical operations thus the idea that in the metalanguage we do not prove Hilbert's program as he envisioned, if these assumptions philosophically are incomplete?  

In the nilpotent (and to this as relative systems we add the tachyonic like principles to Rowland's metaphysics of the vacuum and the muons) concept generalized clearly we could as foundationally a non-necessary state of things in its widest application that zero times (that is a jot or yod form of the operation) a number is not just a zero, but can be the number.  0 (,) n = n, an axiom of mirrors... after all in the widest concept of mirrors we might considers reversal of time as concretely negative or that such can be the negative probabilities, the possibility as concrete the idea of negative distance.

What is the number after the sequence 2, and 42 ? I seem to vaguely imagine 153 arises, but this is but the hint of something happening when we simplify the geometric picture.  Such vague thoughts widen our scope of possible useful intuitions as well as the design of physics, mathematics and logic systems also.

I may have missed some steps in the still not posted series to which, as that was not written to post, I will include later.  These terse notes scattered conserving paper can at least in their content be an interesting game of reasoning wherein the necessity of such shadow logic is the question and by which even my own methods has sometimes limited the ability by labeling of more concrete systems of wider scope, as seems one of the hazards of our development with ideas as we assert interesting and awakening things in our contemplation.

Of course for those competent with algebra and number theory such connection with this sort of pseudo-geometry would be most welcome as a standard to define the wider paradoxes and contradictions of this game as to what we can be sure of is the case.

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PSEPHOTONS: Pinwheel Organic Compasses

PSEPHOTONS:  Pinwheel Organic Compasses

Existential Breaking of Informational Symmetry in the Evolving Omnium

L. Edgar Otto    Sunday, 23 December, 2012

In a given natural dimensions (of space or other physical units and quantities) the symmetry that is balanced in a dimension can appear not so in adjacent dimensions.

While we may have a reduction or restriction of symmetries such as the cubic or sphere groups as more general than say the tetragonal, the differences in the axial direction may lead to a wider range of such objects in composite as to their directions, shape and degrees of freedom among and between them.

A pinwheel is a quasi-finite entity with a center of 64 complete enumeration of radial vectors that have an intrinsic orientation which in combination with other such 1 2 or 4 fold divisions of a group, as if quasicity of the idea of particle generations, the symmetry of them has wider possibilities.  In effect we generalize the idea of cyclic groups in a table cloth fractal like manner and confine an initial point chosen as an identity among the 64 of the binary chain code to the pinwheel circular boundary.

If we compare these to atoms the pinwheels together, in the naturally 2^n division of the codon units (read every other one in threes in both directions) then groupings of pinwheels are like the conformal space of molecules (such as proteins).

These as a dynamic grounding of differences, a sort of memory integrated as well as differentiating as development can make a wider variety of diverse paths and loops and more general levels of symmetry.

In particular we can abstractly read four codon bases and so on which guides but is not the grounding of all quasic planes to be regarded as physical or material objects.

The Eddington conjecture which would give a finite count to the number of protons (electrons) in the universe by the inclusion of 2^136 method may be exceeded fundamentally by the idea of symmetries of particles beyond the standard set of them, but these now appear if at all as virtual entities and as a general power set such physical influence is greater, and expressed as so in the unity of a system such as a mental or biological organism as an analogy, than simply this fine structure dimensionless constant of standard or naturally dimensioned space.

But there is some experimental evidence these super group worlds are there, such as with dark matter, within the compass of our cosmology of our current idea of universe.

Again, the power exponents and the number that grounds the Godel metalanguage on sides of at least another but currently vaster mirror, dark matter, are to be seen as quasifinite and not necessarily these clearly defined or are privileged by nature as strictly infinite or finite to a quasi nilpotent or idempotent unity that restricts symmetry to some idea of a maximum general theory, and the universes foundation thereby.

But because of this difference of paths and directions over the span and structure of the omnium, with the principles of how to incorporate nilpotent and dimensionless "groups" we can have in our physics a firmament that generalizes and makes intelligible our constants of general variation and measure.  Problems considered strictly not reducible to the linear as physicality, as NP hard issues so to speak, such as the conformality of proteins and their influence by shape is a simple matter compared with such conformality more general and dynamic over our wider concept of space and time as the conformality evolves in its creative universal cosmology.

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Further thoughts, including the intelligence of animals as on another PBS show (for example wild wolves and emotion pathways tending to violence compared to that of our dogs and why there is a difference not just from a socialization perspective) I put on a sheet of notes to survey the current ideas debated on the subject in our still ideological shadows of what we would like to think as a past partisan age.  But I do not post them as none of the issues bring new ideas to the quest for understanding.  It is hoped that these long time contemplation of our genetic information processes, as well the idea of such transfer of information as so many binary power bits (of the necessary bases exceeding perhaps even entanglement as if scaleless and perhaps cardinality or beyond these exotic sequences any predictable long range behavior as ordinality) to express or imply the whole may help in the wider understanding of our own domestication with freedom in that life corresponds intelligibly to universe and that we can scientifically aid the truly individual soul unto his wholeness.  Theories do not kill people, ignorance and the access to intelligible theories denied kills people, directly or from a dark distance.

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Instar

Instar

L. Edgar Otto

December 21, 2012  03:36:32 PM

"In the blizzard with the snow between us we cannot share the first or last of suppers nor afford to risk the travel let alone share gifts under the guiding stars, but I have one gift in mind to a child if that would not show favor, a toy harmonica that he awakens to the world by making his own music..."    The Pe Sla

The father of the gods, the personification of time and space, of the river bend of time itself... more ancient and beyond the half divine and half mortal children grand comes before the instars of the moths in the progression from egg to wings, aligned vertical to its time-ship box on the clouds of chloroform, bandages of satin, beds of cotton as if some mythical beasts half forgotten save the artifact now written in the seeping pearls of stone shadows of our dreams.

I have no need to paint his face that he may lie in wake for those left in the the flowing river to view, to remark what a great and good thing he was or laugh in judgement at his follies, lament the struggle and dangers, his as tragic- nor to return him into dust and ashes, scatter them into the waters.  He held the case of instars as if a sacred text and passed on to his children the sense it draws unto it our worship.

For as we live we lose the reality of time in the living and it is not the only description, of our minds, of the cycles of the stars, of the boiling water high in the thin air of mountaintops, of this change of state, of instars of time.  In the measure to the end, the double face that really knows no clear division of Janus, old and young his direction at the ritual change of years, imperfect measure where our engines of our hearts can reset the clock, skip a beat, or the strength to go through motions, rebirth with wings or that false comfort we are in this world born again.

Time is only to be measured in the falling sand between the measureless silence when in the rocking ship the keeper of the bells forget a spell to turn the hourglass, perhaps to wait until the next shifting of the sky and winds the cycle comes around so errors of omission resume, cannot be seen.  But this is not the only distance we put between our lives and their intervals of living, footprints in the snows and mud, and stone, between each other.

The reality is that the time grows short as it expands, rivers break into the deltas, the errors accumulate until from some far source the rains bring floods again, or the great subjective sea wipes the fertile volcano soil free from oil and wax, grass huts, dried fish and wine.  The villagers fool enough to be surprised at the once in a hundred year monsoon that their world is safe, the storms are for others far away- that they are fools enough to work their dreams.

We do not take from each other the right of way nor block the effort to move, tacking the wind or rowing hard upstream, impose on both the river boats and the bridges some toll, be it in barter or in riddles or we cannot pass.  These are only the air that makes way for the falling sand and in the end but objects pointlessly moved from room to room in which why go there needing rides when one is in anywhere already there?

Does it matter then that someone has vanished from our sight beyond the immensity of night anymore than in the rivers of the virtual data stream, or that they move far away in real space or time, the new homeland out of reach and sight?

These are the same thing really, in the wide but finite world of which the wheels may flow against each other but no gears can with clarity be arranged to solve the day's tides.

So when the links between us are broken in the freedom from their unreal so broken vanished chains we feel against that hidden and pointless cloak of lies, of the projecting the inner demons that they make the guiltless bleed as proof in profile or the return of anger the cleaving of the children and not the custody is chosen over Solomon, the wise the pointless and yet not selfish act can have no eyes- for while the living some souls or without souls in the wide seascape just do not matter.

But it makes sense, the nothingness beyond wings or not, that some far away broken people, at this instar have moved on absolutely, only a black feather or two falls off as we spill drops of our dreams in minor accidents so  I rejoice they have their reward they put as roadblocks alarming others- claiming the kingdom built on their own sacrifice when they need slaves and secrets, demand the sacrifice of others, the more the virginal the better.  That I was in their kingdom and as it all there was so craved its fellowship, brought appeasement, found ways to not to like that I would not confess the sham of truth before the world that takes to them a false line and name, I was there but only a ghost in your presence waiting for escape.

It is not the myth of jailers and those who would deny access or judge the hearts of others, decide they are irrelevant expecting thanks for their gift of tolerance, that time is said of the essence- taking then in bonds as if the cage can hold them, confessions for their pardons. How long can those of moral conscience play the acts and curtains and pay the cost of freedom within the cycles of their games of time?

Nor is it in the broken bones and fear of broken wings while the living that handicaps the child to say to them they shall have a rude awakening, now the demons rudely surprised  that they must go to sleep having not known life at its best or in abundance save some rare moments that like the least droplet of holy water or the rays of morning sun will burn their skin more than some shadow distant myth of sin- of that I know in the relative flows of time, and in the greater scheme of times beyond acceleration that ages us or keeps us forever young - I too will face the reward with regrets but not for that as if some whip from the other worldly.

I regret having not noticed while bereft in this life and in this life alone the pentience of affliction staying the sky and keeping me blind that the demon souls worse than the false laughter of the drunken or the insane mechanical men who have kept me awhile from your instar you lost in their black holes of their dreams- that time subtracted in its essence from my own in the freedom of time seas they left for my sentence and its term their ghostly prison.  They take from us more than we take from ourselves and each other while we could not be watching, while the darkness in its own limited light worked equations.

There is no record of this nor wound that would hold you down in your own life with forgiveness or forgotten memories, nor loss of faith in the bubble of myths you need for nests and shelter.  For such as these lost and unredeemed souls know not of the time on earth or in the heavens.  That in the great instars of being, living, the gods and time and mortals are one thing beyond the existing and the being- let us not doubt it is the victory of living and it is good.  In our hearts alone, even in the utmost spark of a moment of origin and end, the record is written in the wider world becoming- as if known its truths only by some higher God.

"And a twenty seventh bell rang for one more tick of the clock, only it was rung in the sanctuary of our silence."

                                                                        The Pe Sla

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The Fundamental Foundations

The Fundamental Foundations

L. Edgar Otto    22 December, 2012

We imagine multivalued functions, as with Riemann's complex plane the "jump" of i2pi (provided we have functions that never cross the excluded negative and zero x axis.)  But we make similar restrictions when we have more than one solution to real equations, as the square root in which we take only the positive of a multiple value.  Thus the Riemann plane is quite an advanced concept (more than I appreciated having not been familiar with the intuitive steps that lead to a clarity of understanding analysis.)

It seems like little progress has been made since then in the search for more fundamental foundations.  But in this presentation, blog, I have the feeling I should take time out for some more formal study- I cannot assume that answers are not there in some form already or that mine reach the level that transcends existing knowledge.  I can go back and see what little conversation I had with some teachers after high school that taking their comments as gospel were wrong, trigonometry is a lot more than just identities and the details of developing equations not a simple matter of zaps and duds consumed in a general formula rather than the concepts themselves the grueling work of counting.

That nothing has made fundamental change since the awakening to ideas of the quantum theory I quite imagine it is due to the interpretation of our mathematics on a very foundational level- including that of number theory.  Yet in our imperfect system to date there is a great deal of power and beauty.  Where there is progress it usually occurs when we imagine some systems from different points of departure where ideas are deeply parallel, sometimes to the point we discover new and unexpected connections.

Philosophically, let us assume that we can have multivalued points, that in some way may differ in duplications yet in the same way have a fixed value.  This is fundamental, the exclusion of the zero and negative axis is not, also the cavalier duplication into equal but empty shadows of a system and what seems behind a mirror works but is not clear as to it being a legitimate method to apply blindly.

Nature is at its foundations not a respecter of sign.  Where it is, or where we can define complimentary functions such as of the log and exponential, there is no reason to think nature is biased ultimately to what is primary as one or the other.  Yet, as in the log, again by tricks we impose this wider space into the lesser dimensions, in a deep sense what is concrete in the mirror function (despite the tricks of successive differentiation and integration alternatively and conceptually cyclically...) said of logs may reverse from some stance of nature.  Yet, if and these only we differentiate the logs in complex space we arrive at what is naturally restricted to what we regard as the physical.

The problem, and a challenge that leads me to search the literature, is what sort of things happen if we allow at a point the intersection of three kinds of planes- those of the natural Cartesian dimensions, those of the complex plane, and what I call the quasic plane- each of which seem to share many properties of the same pattern and description.  As some of these values must be finite between one and minus one, in a world where we cannot so duplicate or have multiple values despite the beauty of descriptions say of oscillations on a real number line, the convergence of the exponential alone will not give us the deeper secrets of things like the ultimate and unified idea of such objects as branes having charge- that merely extends at this time our bottleneck of the mechanics and formalism of our notations which are useful only in the main in small numbers or as a background for our measure of things by mirror-less probability.

Many anomalies and alternative views can be described or analyzed in this new concept of a wider but accessible next step in mathematics, so that the concrete or soundness of such theories may be discerned.  So too if concepts can influence our states of mind, the awakening to new eras of such concepts.  Consciousness is not simply something that emerges in the higher analysis complex numbers or not.  While it is long time philosophy to merge our ideas of the infinite against the finite, such as with Whitehead's process theology, how can the knowing be complete, say for the ideas expressed by Hawking over the reality of the universe, the Omnium, if we say space is finite in time but time is infinite as imaginary space- these in the mind's eye at least wrapped around our heads as a fact of unity and being? 

Can this situation be mirrored as an unbiased stance of nature?  Does it not hint of speculation, even principles of metaphysics as well of things involving information theory as in the related issue of where that goes into black holes?  Can it be that come convergence in the element is divergence in the filament and conversely, this too mirrored?  Do I gain anything, having quasically defined the reason and state of nature for the idea of generations where it applies say in quark theory, if at a multiple point there are these brane like creative or existing entities? That is if it cannot tell us how to find unity again in the concept and the nonnecessity of these quasic functions over the omnium?

Have we not concluded there are models that give us a hint of this in the surprise and anomaly of dark energy and dark matter- even with our familiar physics and chemical models we image something like dark fluid?  What is hard to imagine is the consequences of such phenomena should they prove in experiment a direct linking as if some shadow that grounds the reality as if the unity is quasi-metaphysical.

It does little good either if we can only see the outline of such shadows to imagine some dark atoms that work in concert without direct evidence of disproportionate weights when the whole dynamic process suggests that in this higher physics things are creative, that in a sense atoms, and by structure and pattern only, evolve.  The memory of the previous states of matter may indeed behind the scenes contribute to the idea of mass along Weyl's lines.

Evolving atoms would certainly explain processes that even the reversal of brightness of supernovas could make the higher half of our natural occurring atoms as well the explanation of gamma burst on all scales.  A quasar like creative object may disintegrate into many systems of stars as if the materialization of its multiplicity at a point of its hidden yet mirror atoms.

This I have hinted at in my last post of cosmic chemistry and this in a vague form I have considered for years.  In the mass extinctions over a million years or so, why do we assume the layer of iridium is other worldly?  And do not the planets themselves appear to be formed in pairs as most things, as perhaps the nuclear shells of nucleons?

Clifford was as close in the usual mathematics, as a sort of finite model, the dimensions taken from the power of some number, to my idea of quasics- this quite a challenge in 1995 to my idea of originality in research as well the haunting similarities when string theories reared their heads.  Yet, I persisted down a path not as if any of these theories were blocking the way- so why?  It must be from a wider standpoint concerning the continua and numbers involved- for the power as a dimension or the dimension as a power can be fundamentally mirrored, and that is not a simple matter of fractions or zero divisions to avoid should we encounter such as singularities. 

But such exclusions do seem to make the world work, especially where in its consistency it does seem one sided and asymmetric in the relationship to creative things we describe as if heat of a more general nature to which one sided logs only is not a bad model to suspect we reached the limit of the power of our calculations, accepting some conditions in the world as illusions.

To this end in the manuscript (I am still debating to post as an illustration in the raw) I chose the yod symbol or a simple degree sign as a product analogous to the dot product vector operation.  Perhaps this explains the idea of the continuum of a power set greater than the R... not really a paradox, then again Tarski's makes some sense by such mirroring too.   In any case as workable as some of our formulas are that apply to systems of physics, If my quasic view is write, too much is depending on our insistence of solutions that have separate formula for the odd and even number in a series.  That then an example were wider intuition and speculation may transcend the bottleneck of our established formulas, these not as elegant as they could be, that may constrain us in the symbols that to new useful physics we do not transcend.

Deeper than that, some variation in the basic values like the velocity of light or Planck's constant may not be visible on one side of the mirror as if not things of multiplicity.   Why then should we regard a space of h cubed as important as such a space when its boundaries, are described only in the usual concept of dimensions.  We cannot really say in matters of our conservation laws that what around a boundary, a quasic one as well, that what vectors and properties coming into a system are the same as that which leaves.

Surely, if the dynamics in this world conform over many regions and scales, and these apply to our phenomenon of consciousness, if this concept of multiplicity is right then vaguely defined ideas like autism is indeed a result of the multiplicity of sensitive gene regions on a chromosome.  As such one may debate if this is the cost of survival of the fittest as to if such states of mind are descended into past states or maybe lead to a new and advanced species. If right the ideas can tells us how to heal such problems without invasive procedures changing the inherent identity of an individual while our experiments contradict the intent, and the doing no harm, and no current explanations are to be easily found if in our present state of wisdom they can be.

All of this seems nevertheless to be, in the physical and material applications at least, lesser than the next few levels of general theory now hidden to us of which the complexity of this theory even with no other explanations to be offered, will seem like a logical and natural extension of existing theories done with better clarity- that or in the looking back all we know for the last couple of a myriad of years will seem all to simple, obsolete, and coming so near the future truths.  The ideas here, as if an expansion of fusion and fission into super-duper fission and fusion for some indefinite but creative singularity of potential real atoms in a creative object multi-singularity complex, are neither models with the parsimony of reduction nor so wide that the mechanism could conceivably give us access to more energy than say that in theory of a complete merging of matter and antimatter.

One stray idea of which the foundations of counting goes to a little more general idea than that of arithmetic, in a philosophical sense the old 2 + 2 = 5, is that if the boundary of a quasic region (of any natural representational dimension defined by the usual conservation of the count) is the distinct but indefinite boundary wherein to cross it it can be any number of such brane regions in the path and not necessary of uniform or crystalline quasic space pixel dimensions- provided the entry into another region may reverse the usual group signs of things while in effect the object in motion thinks it is in the same place with same orientations- and unlike in the complex plane in a sense it is as well of all such nearly the same or the same coordinate places.

So I do not need to post the notes after all- save perhaps the last entry that asks: Can we store natural energy- matter into the condensed (but of multiple hyperbolic parallels from this side of the mirror) into a dark matter  or black hole like object-  store information? if so how much more over these stances of natural processes?

Such treatments as I have presented in color and hypercolors relate to the real world of four space as natural dimensions... It would be of interest to do the same thing for the higher symmetries in such four space for the great grand stelleations of the analogs to the icosahedron.  But that would be beyond the present scope of the level to which we are trying to expand our understanding.

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