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Quantonic Symbols
A Novel Quantonics Memeotics
To Replace our Old Aristotelian
Dialectical Symbology & Semiotics
by Doug Renselle

N¤te t¤ users/students ¤f Quantonics: We start using s¤me ¤f ¤ur n¤vel
Quantonics English Language Remediati¤n f¤r Millennium III here on 10Jun2001.
Some classical 'o's' we replace with Quantonic/quantized '¤'s'
Assume a more classical context when you see 'o's,'
and assume a m¤re quantum comtext when y¤u see '¤'s.' Doug.

(Need rtf fonts.)
(Our quantized 'o' or '¤' appears one or two font sizes too large (e.g., '
¤') on MACs.)



 [in] interrelationships [with] — Wingdings font l.c. 'v'

is an omniad which replaces classical dyads. We use a wingdings lower case 'v' symbol, , as an omniad to replace and extend other Western culture dyads like +, -, x, /, and, or, etc. Omniads do not assume dyadic, lateral, bifunctional, bivalent, unidimensional, monocontextual functor operation, but assume omnivalent, omnimensional, omnicomtextual (see 'comtext') fluxor operation. In Quantonics, we use omniads and attractors to build Value interrelationships.

Here we depict our wingdings font interrelationships semiotic superposed with our quantum uncertainty semiotic. What we see is that all quantonic interrelationships are quantum uncertainty interrelationships. It is good to perceive our comma-n¤space in quantons as this composite semiotic, e.g.: quanton(DQSQ) issi quanton(DQ,SQ). We must learn to thinkq of these quantons as quantum~interrelationshipings. We say "quantum" since we can observe and obtain here, eidetically ad occulos, all quantal interrelationshipings are quantized, thus their flux is perpetually rqcs~changing their quantal gradiencings of equilibria complementarily with their quantal gradiencings of chaos. Doug - 28Jul2012.

Here we show our Quantonics' font upper and lower case s, size 400, as artistic uncertainty interrelationshipings.

Look what happens when we hook them up:

Imagine those green waves with Bergsonian durational 'con(m)tinuity. How could we 'design' our graphics to enable vertical and diagonal (and thogonal) quantum~interrelationshipings' emerscenture? Do we need polymorphism? Why? Why not? Doug - 5Aug2007.

Nearly five years ago, when Doug strung those symbols out like that, Doug had no idea, no meme of what he was showing innately. Do you see it? Those interrelationshipings are quantized! Gaps represent quanta and endless opportunityings for ubiquitous and perpetual everywherings~everywhenings scintillationings which make and unmake actuality as we know and sense it.

Since then Doug has done bundles of work on quantization, scintillation, Plateau II of our quantum~philosophy's omniscriptions of a Quantum~Value~Hierarchy and how it mutates and transmutes. On top of all that Beth (she passed 26Jul2010) led Doug to gnosis and Doug has been learning Autiot and Qabala as cobenchmarks of quantum~m¤dalings of reality. More recently Doug has spent, so far, nearly a year on quantum memeos of chaos, gradience, and equilibrium and using a Quantonicsesque quantum~cuneiform as a tool to omniscribe quantum~chaos and ~equilibrium systemically.

Above uses Doug's quantum~cuneiform to show a quantized locality both quantum~chaotically ana~ and ava~lanching into two evolved locales of relative quantum~equilibria.

Above squeezes it. Gradience is quantum~relatively double what was squeezed.

Above stretches it. Gradience is quantum~relatively half what was stretched. Doug - 4Sep2012.

Symbols you see above are relevant all of these n¤væl quantum topic~issues.

Doug is developing some new symbols which evolve those above into these new topics and issues. Initially without detail comment Doug offers them here:

Readers please view smaller red diamonds as gnostic~cuneiform symbols for grail. Recall that ^ is penile, and v is vaginal (notice too how Wingdings 'v' is a four stones Qabalic holograilic~tetrad: ). Together they symbolize a cuneiform stone, also in gnosis meaning hermaphrodite: haploidally both male (top) and female (bottom). Spiritually this 'stone' symbolizes a grail. A grail, pneumatically, is a quantum~interrelationshiping. Observe how Doug's original quantization of interrelationshipings left quantum~holograil and ~holograilicity out! To see Doug's original coining of those terms see Aleph updated.

First, Pick a Green, then Pick a Red -- Pick a Blue???
Use Holograilic Stones to Help Make Choices!

That last one may be most enigmatic for you. It is Doug's first cut showing radically uncertain quantum~awareness intrinsic omnicisionings. I will explain this more involved graphic over next several days and weeks. Hint: Doug is using his own quantum~cuneiform to illustrate stochastic nature (question marks) of quantization and scintillation. You may grasp now why Doug has used lightning bolt segments to show this as a more classical, but stochastic 'path.' This diagram takes us much closer to quantum~essence. Compare chance.

Doug - 20Jan2012.


©Quantonics, Inc., 2004-2006

A 3D Quantonics Fuzzon (100x100)

A Quantonics Fuzz¤n ('Full,' 'half,' and 'quarter' scale.)

This issi Quantonics' n¤vel fuzz¤n. A fuzz¤n issi a quanton. Iht issi an quantum ænsehmble ¤f likelih¤¤d ¤mnistrihbuti¤ns (QLO, ¤hr bættær EQLO) AKA quantum heterogæne¤uhs lihkælih¤¤d ihnterrelati¤nships.

Ihmagine ¤ur fuzz¤ns having quantum (n¤n classical) arbihtrary (e.g., macr¤sc¤pihc) pr¤babilihty ¤mnistrihbuti¤ns.

Ihmagine thæm as a N~sphæræs ¤f r¤tating 2D lihkælih¤¤d ¤mnistrihbuti¤n wavings.

Ihmagine smahller, apparæntly dænser Bohr m¤daling quasi~surfacæ sphæræs ¤værlapping where ahll lihkælih¤¤ds' maxqihmum æxpæctati¤ns h¤vær. (Ahstutæ studænts wihll ræc¤gnihzæ an umaddqræssæd ihssue ¤f quantum l¤calihty hæræ.)

This, a fuzz¤n, issi what wæ mæan whæn wæ sahy "quantum p¤ihnt."

We also must increase our abilities to view fuzzons in 3D. Too and more generally then, we must inure qua to imagine them on our quantum~stagings as omnimensional and animately evolving as perpetual change. This latter capability takes us almost eidetically to realising any fuzzons' peaQLOs as evolving holographic quantum~flux. Instead of a 'Matrix' of classical objects, we commence quantum~intuitions of Bohmian holomovements of quantum~fluxings as evolving quantum~interrelationshipings. See below. See our PBs as Interrelationshipings applied.

Doug's use of 'perpetual change' just above, refers quantum~reality's atomic and sub~atomic constituency, all of which are 'packet' ensembles of perpetual quantum~flux, e.g., atoms, neutrons, protons, nuclei, electrons, photons, etc. Some of them, like gluons and quarks are easily, typically, and naturally transmutative. 'N¤nactual' TBCS (creative emergence of actual quantum~matter~waves from n¤nactuality) quarks descend, from isofuzzons, an energy slope of mutation into 'actual' UD quarks which emerq 'stable' flux packet ensembles for protons as UDU and neutrons as UDD quarks. See Doug's Radiation Notes and QCD.

Doug - 22Oct2008.

Ihmagine any Quantonic fuzz¤ns m¤dalings' c¤mplæmænts as anihmatæ amd EIMA SONs. Th¤se SONs can 'h¤l¤ graph,' 'h¤l¤ geomæter' any physialhlihty. They can 'h¤l¤ Lorentz' æmærgæ amd dæmærgæ am¤ng umlimihted æmærqs ¤f hera amd æntr¤pa.

T¤ sææ, eihdætihcahlly, ad oculos p¤wær ¤f this Quantonics symbol, ihmagine classical lines, circles and geometry (e.g., quantum com(n)ihcs amd secti¤ns) uhsing these quantum p¤ihnts amd ihmagine quantum~phil¤s¤phicahlly, ~mætaphysihcahlly, ~scihæntihfihcahlly, amd ~mathæmatihcahlly their classical paradigm~shattering ihmplihcati¤ns.

Sææ lih. See our recent 2005 How SOMites, CRites, and MoQites Measure (MoQites monitor) Reality.

Doug - 30May2004

Quantum Island of Uncertainty Attractor:

Island of Uncertainty attractor. Our title for this symbol is a take-off on Nick Herbert's "Quantum Island of Truth." This is a generic symbol for our quantonic isoflux notation. It represents any actual c¤mplement of reality. This is latched flux, and in Pirsig's MoQ we call it SQ. It shows 'omni-'dimensional latched flux as vectors of uncertain length and phase.

Adepts may notice this symbol, primitively as Light, from ancient Hermetic traditions. Jesus literally gn¤stically (in Essene b. c. e. gn¤sis) means Light.

It is also a symbol for Hermes Trismegistus: Thrice Great Hermes.

Other versions of this symbol include a cross with two horizontal bars, one shorter, on top, representing, again Light.

Ancient heretics and mystics used symbols like this to shroud optimistic (what we call "quantum") Gn¤sticism. What amazes us is how these ancient symbols correlate and coinside more modern quantum n¤n (i.e., wave) 'mechanical' 'science,' 'metaphysics,' and philosophy.

Here is our latest, 2005, version of this memeotic shown as 3D peaqlos:

Square Roots in Quantonics

Classical Square Root:

EOOO Square Root


Classically, i = dichon(-1, +1)

Quantum Square Root:

BAWAM Square Root

Quantumly, i quanton(-1,+1),
(viz. Buridan's Ass walking b¤th (-1,+1) directi¤ns, simultane¤usly...see Stein...)
and quantum EIMA anihmatæly and recursively,



T¤¤, it is w¤rthwhile t¤ n¤te that quantum 'roots' aræ n¤t limited classically amd state-ically t¤ base 10 'powers' ¤f 2. Quantum n¤mbærs aræ n¤t classical!

Quantum numbers are waves and as such are n¤t scalar. Quantum numbers as waves are all, from any classical conspective, positive. Energy is all positive. We can quantumly phase~cancel phase~shifted waves, but we cann¤t negate their energy in order to perform a classical, mathematical negation. Energy cancellation does not create a null, empty wave~cancellation result! To offer a transverse example two positive energies may cancel, but their cancellation itself is at least double energy present in both uncanceled waves. HotMemeCaveat: "Treat quantum~waves dialectically, and penalize yourself by a return to classical stuckness.™" HotMemeCaveat. Thou shalt n¤t scalarbate waves! Another caveat: Classical reality is assumed to be 'transverse.' Quantum reality is multiversal, omniversal. Waves are not 'bi.' Waves are omni.

When we scalarbate waves we force quantum~waves to become classical 'state.' There is no 'state' in quantum~reality. Quantum reality is wholly flux and flux~mediated absolute change. Quantum reality, simply, does n¤t classically hold still. Zero momentum may n¤t be classically induced in quantum~reality.

Doug is prompted to add this red text given some of you are Googling Quantonics with this search pattern, "probability that a quanton in a box is in state n." Quantons are animate waves and ensembles of animate waves. Animate waves are unstoppable! It is impossible for a wave to have 'state.' Instead of classical dialectical state scalarbation, Quantonics is showing you and telling you that quantum~measurement, real quantum~measurement involves durational process omnitoring.

Classical theory canonically assumes that reality may be stopped! It is a bogus assumption.

Classical: State. Homogeneously-unified. Objective. Quantitative. Dead. Concretely insensate & dumb. Catholic. Totalitarian.

Quantum: Wavings. Coherent~multiplicity of individual autonomies called "waves." Subjective. Qualitative. Alive. Aware & wise. Gn¤stic. Free.

Doug - 25Feb2008.

 We have finally, after more than ten years, settled on our standard Quantonic boson symbol:

As you can see we show an arrowless solid green circle which is half of a fermion's diameter.
We show a double sized dotted blue circle with one arrow suggesting bosonic quantum~spin 1.

Doug - 2Jul2007.

 We have finally, after more than ten years, settled on our standard Quantonic fermion symbol:

This looks a lot like our original fermion.
We improved it by showing its Möbius quantum~spin 1/2 wobble as a deep red fluxoid (say 0) and a deep green fluxoid (say 1).
We also show some spin zero flux superposing our fluxoids.
Too, we show our fermion's EIMAing n¤nactual isoflux quantum~c¤mplæmænt.
If you follow arrows you will discover all fermions' pendular 720° quantum sophist self~recursive hermaphrodicity similar Schrödinger's hydrogen atom:

We are doing this work for our review of Banesh Hoffmann's The Strange Story of the Quantum, Act II. That review is underway now and still needs another 2-3 months of diligent effort. We thought you might like a tease, though which shows our usage of these novel bosons and fermions. Perhaps you may guess what our topic is by carefully perusing this graphic:

See whether you can guess what we are doing in that graphic...hint: bosons are phonons.

Doug - 2Jul2007.

Planck Quantum

(Inanimate) Planck Quantum attractor. This symbolizes our Quantonics Planck quantum. It is Planck's least action or least pragma. This is our smallest 'quantum island of (um)certainty.' All actualized positive entropic reality builds from packets of energy or mass (i.e., latched actual patterns of value) this 'size' and greater.

It represents he2•h. (2 and here, used with our Quantonics Equals may/should be memetically visualized as anihmatæ Quantonics' quantum n¤mbærs. (Per Richard Dawkins of The Selfish Gene fame, a meme is a living idea, a living concept. As such, in Quantonics, a meme is a quanton, a meme is a physial quantum amd memes aræ quantons amd also amalgama of physial quanta. In Quantonics, memes aræ physially scalable emerscents capable of emerscitecture amd emerscenture.) This paragraph revised 14Jan2003 - Doug.


Any Planck quantum's energy is normally shown as eh•f, and also as eh•v where f and v represent classical frequency, spatial frequency. A good reference is Philip R. Wallace's Paradox Lost, see especially p. 16 of hardbound 1st ed.

So our Planck quantum's energy quanta is a n¤n classical epiphany (thanks to Louis de Broglie and applied in desperation by Max Planck)! It is n¤t a proxy for amplitude! No Planck quantum cares about amplitude! So we can think about Planck quantal energy as how rapidly our vector above rotates. We do n¤t care about how big we show our circle (unless we are using circle size as a proxy for f and v). In Quantonics our artistic license requires that we show many circles of varying radii, but we must bear in mind that frequency n¤t amplitude is important when we are working in quantum reality.

Similarly, any Planck quantum's momentum is shown as eh•wn. Simply, Planck's comstant times wave n¤mbær, where wave n¤mbær is flux count per unit reference spatial length.

Baggott, et al., point out that classical 'waves' are Maxwellian radical-mechanically 'transverse.' What we just described as a more quantum reality denies any classical notions of waves as transverse. Wave amplitude, area, and direction are invalid classical proxies of quantum energy! Only quantum flux carries energy! But folks, secondary and baccalaureate academics teach transverse methodic models of reality!

Astute students of Quantonics may recognize a classical problematic here. Frequency may be spatial flux. Frequency may be temporal flux (i.e., "frequency in 'motion'"). Momentum is classically 'directed' spatial flux.


And Dirac, speaking of quantum superposition, tells us that quantum momentum does not care about classical direction, "...direction and amplitude are irrelevant." See mid-page 17, Ch. I, Sec. 5 'Mathematical Formulation of the Principle,' The Principles of Quantum Mechanics.

We choose to view this direction irrelevance notion as quantum omnidirectionality due absolute quantum flux. E.g., ponder your own 'Milky Way directionality' as you perigrinate your locale.

See quantum pi below.

Another way to superpositionally ponder quantum directional irrelevance is to view a Planck quantum's own 'field' as omnimensional and arbitrarily probability 'distributed.' Please do not view our use of 'field' here as a classically separable, independent, global field (one field fits all) in which our Planck quantum is classically, 'objectively' lodged.

End aside.

Time is, according to Einstein, et al., a space rate proxy ("identity"). To us, this (what tihme is) is modern science's most challenging current problematic (as Irving Stein said ~1993, recall-paraphrased, "...modern science currently has no coherent description, notion or definition of change..."). Currently, modern science has n¤ utilitarian ~real description of time as a n¤n-spatial changæ notion. In our view, this problematic arises from science's unwillingess to reopen pertinent philosophical issues of legacy underpinnings. Doug - 6Jul2003.

End aside.

All quantum measurements can be n¤ more certain than this increment and greater. All quantum measurements must assume that reality's actual comstituents may be changing at this (Planck) rate or slower and (Planck) wavelength or greater.

As students of Quantonics, we learn to think of this as our smallest actual Quantonic comtext. We can say that, when comsidered as a single, minimum comtext, its positive entropy comsistency is unityq (I.e. we can think of it in a much oversimplified manner: it always (abs¤lutely) changes at ~1043 unit spatial reference flux.). Its actual l¤cal comtextual c¤mpleteness is a quantal minimum, which we can envision, again, as equantum_2 * quantum_ * quantum_h. (I.e, as far as we know, 'e' represents reality's least c¤mplete and most comsistent quantum comtext. Quantum ChromoDynamics appears to be uncloaking even smaller comtexts!)

(Comsider quantum animacy of quantum_. Classically '' of a circle assumes a circle and its diameter are classically inanimate and state-ic. That classical assumption fails in quantum reality. If there are any quantum circles and diameters in quantum reality, their 'shapes' are always quantum-uncertainly dynamic and from a classical perspective kind of quantum-chaotically smeared. Imagine a can lid wrapped around a classical 3D conic section. Then imagine it in absolute quantum flux. 'Circle' as a quantum meme, is sort of like differences twixt Euclidean and non-Euclidean classical spaces except we must visualize them not only as curved omnimensional isospaces, but as quantum animate too. Again, we see SOM's knife creating classical thing-king walls against quantum think-king. Doug - 26Jul2001.)

(Another way to think about quantum_ is as a quantum variable, rather than as a classical irrational constant. Let's do an Einsteinian relativistic Gedanken experiment. You recall how a train's doppler effect goes from blue shift to red shift when a train's whistle blows continuously as said train approaches then passes a standing observer near track side. Now imagine a passenger on said train with a white board mounted perpendicular and translongitudinal train's fuselage direction. Assume train's blue shift distance is 25 meters from standing observer at start of our gedankenment, and 25 meters red shifted at end of our experiment. Assume train is traveling at 50 meters per second. Thus it will take said train one second to traverse both blue- and red-shifted segments. Assume our passenger starts drawing a circle at start of blue shift interval, and finishes said circle at end of red shift interval. It takes our passenger one second to draw said circle. Now consider two circles: one drawn on white board and one representing passenger's marker tip peregrinating general n-space as train traverses both blue and red segments in one second. Circumference of static circle on white board is smaller than white board's two meter by three meter perimeter — assume drawn classical circle diameter is one meter. Now consider static circle's circumference vis-à-vis dynamic circle's 'circumference.' Former is classically and naïvely x1-meter diameter, or ~3.1415926... meters. Latter is ~3.1415926... + 50 meters! of former classical circle is still /1 or (i.e., circumference/d=1; unless we assume a variable diameter too; but then what 'measurement' do we use for diameter?). of latter is ~53.1415926/1 or ~53.1415926! Now which is more general? If reality were classically static, former would be general, however quantum reality is b¤th phasic amd animate/dynamic (stindyanic), s¤ latter is m¤re general. And we see s¤mething else that is even m¤re startling: in any dynamic, ¤mnimensi¤nal quantum reality — there are ideal classical circles! is, defined as circumference over diameter, in an animate quantum reality, variable! Even more interesting, consider complications of Earth's axial rotation and Earth's solar orbit on calculations of . At equator, our Gedanken experimental train, passenger and observer are moving around Earth's axis at ~500 meters/second. Simultaneously, that same Earth system is moving around Sol at ~30,000 meters/second, and moving around our Milky Way at 225,000 meters/second. Now calculate what affects those other two sources of quantum flux have on an even more general quantum ! As you may surmise, classical 'natural' constants almost entirely lose their semantic value in quantum reality. Doug - 12Aug2001; rev - 24Sep2001.)

As reality assembles massive aggregates of Planck quanta and their emergent spawn, its number of comtexts approaches infinity. Total reality's comsistency (We use comsistency here — do you see why?) decreases, but simultaneously reality's c¤mpleteness increases. See Absoluteness & Uncertainty.

MoQ Quanton


            DQ             SQ

(An Inanimate) Pirsigean Metaphysics of Quality Quanton. This is MoQ reality's (i.e., both DQ's and SQ's) least unit of both ethical and moral behavior. This version is a latched MoQ quantum depicted in latched SQ, while compenetrating DQ's absolute flux. In SQ actuality we show Pirsig's four levels of Static Quality: Inorganic, Biological, Social, and Intellectual. Our order of listing in our last sentence is Pirsig's order of increasing evolution. By that we mean Inorganic levels invent Biological levels which invent Social levels which invent Intellectual levels which invent... Our MoQ quanton shows that, just as DQ possesses intrinsic capability to emerse both proto and new (i.e., emerqed) SQ, all quantons — at all scales of reality — intrinsically possess capabilities to evolve Pirsig's four levels.

Planck Quanton
(An Inanimate) Planck Quanton. This is quantum reality's (i.e., both n¤nactual and actual reality's) least unit of action and its least unit of (un)certainty. This version is a latched Planck quantum depicted in actuality, while compenetrating n¤nactuality's isoflux. At this juncture, we do not know how to show this as either a fermion or a boson. That innovation is TBD. Perhaps it may be either and both, and it may require unique symbology for each. Our other c¤mposite quantons we know will have unique symbologies; however, we do n¤t know yet what symbols will omnistinguish fermions from bosons.

(An Animate) Planck Quanton. Here we see how our use of symbols latch our concepts (Platonic ideas) objectively. Our intent is for students of Quantonics to see or imagine our inanimate symbols as animate like this graphic. As Pirsig might offer, "Always keep Dynamic Quality with your latched, Static Quality intuemes. Try to prevent your memes from losing their Dynamic Quality (which is analogous to losing their Quality)."

This is Quantonics' version of minimum quantum uncertainty shown symbolically as (best we currently know how) durational quantum flux (one least action, least energy quantum: one of many quanta). Mathematical physicists show it 'state' ically, metrically as ih. Real quantum uncertainty is almost always larger than least quantum uncertainty and we show and classically-noodle that 'state' ically like this: N•ih.

If you need more direct evidence of reality of macroscopic quantum uncertainty see Planck's total energy of a system and compare notation there to what we show here. Macroscopic quantum~uncertainty uncloaks itself eidetically ad oculos. Compare N•ih and N•v•h. When you compare nih and nvh macroscopic quantum~uncertainty erupts its actuality. Too, see nih as hin and then shin. Doug - 31Jan2009.

For more detail, see Planck Quantum above.

Please comsider how this symbol depicts Riemann's Hypothesis. See our recent comtrarotation as quantum square root. Also see our review of Sylvia Nasar's A Beautiful Mind on "quantum Nash," for more Riemann nexuses. Blue-dotted comtrarotation corresponds square root part of Riemann's

s = ½ + square_root(ei)v. 7Feb2002 - Doug.

Also see our 7Jun2002 Möbius 3-Primæ Fermion.

A superb practical example ¤f ¤ur animate quanton semi¤tic is a pendulum. L¤¤k at ¤ur quanton's actual c¤mplement. Y¤u will see a pendulum's peri¤d flux in s¤lid ¤uter circle. Y¤u will see a pendulum's directi¤n flux in its tw¤ inner circles. In this exemplar ¤ur quanton m¤dels a pendulum as a fermi¤n with a (Feynmanesque)

"w¤bble"  fDirecti¤n / fPeri¤d  quantum_2.

Y¤u may als¤ intuit h¤w ¤ur quanton semi¤tic can/d¤es m¤del any physical scaled aggregati¤n ¤f quantum reality.

There are several Quantonics English Language Remediations which quantum~cohere and attend quantum memeos of Planck quanta. Let's keep an up-to-date list of them here.

First may we recommend that you carefully read all of Bergson's Time and Free Will, Topic 35.

Here is a list of QELRs and other relevant links which are quantum~descriptive of Planck quanta phenomena:

Affectation (large page), change, duration, included-middle, monitor, phasicity, perpetual-motion, probability, Quantum Pendulum,


A crucial quantum avatar here is that all fermions are pendula, and as such all fermions exhibit,
we believe quite miraculously, nature's absolute motion. Indeed, we can use pendula to
quanton(qualitatively,only_apparently_quantitatively) assess nature's absolute motion.

End aside.

reality, select, stoppability, and What is Wrong with Probability as Value?.

Planck quanta are quantum reality's ubiquitous agents of absolute change. They are perpetual, unending, always changing, and always changing all.

Riemann Fermionic Quanton (See Classical and Quantum Square Root Symbols above)









s = ± ½ + i



s = ±   ½   + -1 v


s = ±   ½   + v
+     +  
4. s
-     -  
+     +  
5. s

-     -  
chiralty here is







chiralty here is




24Apr2002 - Doug - Inserted step 5. Step 4 is an inanimate, BAAM, and normalized quantum square root, unless one imagines a quantum square root recursion on i (which is fine, indeed it is, and as we originally intended). But step 4 is normalized by an assumption that 'r' is ideally, classically '1.' We know that state-ic is comstant for all circle radii, but as an animate quantum recursion, physically, those radii are changing from h, i.e., a minimum Planck length, to infinity. Step 5 generalizes, BAWAMs, and animates step 4 by replacing our assumed Quantum square root iterator which defaults to a normalizing '1' with a physical 'r' (which has a minimum limit radius h, and maximum radius unlimited). Now we can imagine more robustly how our Quantonics square root generates all possible Riemann (isotropic) comjugate (n¤nactual, isoimaginary, and quantum isocoherent) isoflux. Key here is to distinguish a classical 'r = 1' single-valued, inanimate physical reality assumption from a quantonic/quantum rall_values — from minimum Planck length to infinity — animate quantum physial reality.

Please make a best effort to visualize this Riemann Quanton as animate like our animate Planck Quanton just above. Also, try to imagine our blue-dotted comtrarotating circles as animate, omnimensional, and having omnivalued radii as described above. That imagined comjugate quantum n¤nactuality is what Quantonics appellates "quantum isoflux." See our map of Millennium III Reality. Doug - 25Apr2002.

In this sequence of graphics we show our Quantonics interpretation (hermeneutic) of Riemann's Hypothesis as a depiction of fermionic quantum reality. It is a special case of Riemann's zeta function, for h = ½, and quantum_square_root of -1 where we substitute ei for -1. (Here we are assuming a classical form of s = h + i•v which is often shown in typical classical complex notation as s = u + i•v. We did not intend for our use of 'h' here to confuse readers with our use of 'h' elsewhere as Planck's 'constant.' Please excuse our unintended possible confusion. Students of Quantonics will view any c¤mplex n¤mbær anihmatæly more like this, where we intend our squaræ r¤¤t symb¤l as quantum vis-à-vis classical. Doug - 4Dec2002.)

Note that column three above may be interpreted as what we call quantum fermionic spin "chiralty."

Our top three rows show Riemann's special classical case of a Real ½ (i.e., fermionic) Critical Line. Rows four through six show our Quantonic depiction of that special case. In each of those rows we show both classical actuality's EOOO predicate and quantum n¤nactuality's BAWAM predicate in c¤mplementary interrelationships forming a Quantonic 's' case for a quantum Riemannian zeta(s) function. Latter case represents all quantum real (odd, half-integer spin fermi statistics) fermions! See our QELR of number. Look at bottom of that page segment.

In lines four through six, our quantum_square_root of ei represents a BAWAM (Quantum Vacuum Flux) "manifold" quantum comjugate vis-à-vis a classical_square_root of -1 is an EOOO "2D" dichotomous classical conjugate.

What this shows rather dramatically, is that we can view ±½ Riemannian reality, compenetrating Quantum Vacuum Flux, quite trivially as a Quantonics quanton!

For more Quantonic memes on The Riemann Hypothesis see these other links: Quantum Contrarotation as Square Root, Quantum Square Root as Comjugation, John Nash's Correlation of quantum reality and The Riemann Hypothesis.

Some of you may be asking, "Well what does all this have to do with prime numbers." (As The Riemann Hypothesis does...) We can only speculate; however, we do know something important about physical reality which appears relevant. N¤ two fermions in quantum reality are identical to one another. (E.g., just comsider animate phasicities of any two electrons. Ditto our Planck quantons above. Also comsider how classical reality assumes identities abound. E.g., Aristotle's A=A as a classical tautology! ) Now comsider aggregations of those. Do we see any aliases? Does reality have any real clones? Is it 'possible' to clone anything in quantum reality, or is cloning just another classical reproduction/manufacturing delusion?

Also comsider Fibonacci numbers and their predominance in natural physical reality. What do they share as somewhat analogous primes? Each prime is unique in that it has n¤ n¤nprime factors or factor aliases. Similarly, each Fibonacci number is unique in that it has n¤ sum aliases based on addends from prior terms in its sequence. Now, can you see how uniquenesses of primes and Fibonaccis appear as crucial physical/natural memes for absence of fermionic identities in decoherent quantum reality? Also can you now see why, in Quantonics, we say there are n¤ identities in physical/natural quantum reality?

Doug - 8Feb2002.

7Jun2002 - Doug - Also see our 7Jun2002 Möbius 3-Primæ Fermion.

After thought: You may find it worthwhile to ponder how our quantum integer-radius-modulated, anihmatæ, EIMA, interpretation/heuristic/hermeneutic of ei as -1 offers one of an unlimited number of metaphors of how negation is subjective. Now blend that quantum Bergsonian metaphor with Philip R. Wallace's (very slightly paraphrased), "...interpretation involves according primacy to subjectivity over objectivity," and we may more adeptly admit abetting analogies among "unlimited number of metaphors" and quantum subjective "interpretation." Proceed comfidently another quantum increment: whenever we see a 'minus' 'one,' let's substitute ei and re-think our interpretations of any local quantum comtext where any 'minus' 'one' may appear. 17Oct2002 - Doug.


   N¤npreferential Isoflux attractor. Or 'ison.' Our title for this symbol tells us that any quanton connects (i.e., comnects) to n¤nactuality via an isoflux attractor. Isoflux attractors may be as shown, i.e., n¤npreferential, tentative, and preferential.


Preferential Isoflux attractor. Or 'isop.' Our title for this symbol tells us that any quanton connects (i.e., comnects) to n¤nactuality via an isoflux attractor. Isoflux attractors may be as shown, i.e., preferential, tentative, and n¤npreferential.


   Tentative Isoflux attractor. Or 'isot.' Our title for this symbol tells us that any quanton connects to (i.e., comnects) n¤nactuality via an isoflux attractor. Isoflux attractors may be as shown, i.e., tentative, preferential, and n¤npreferential.

Quantonics Font Equals Symbol (New 1Aug99 PDR)

Here are examples using our symbols above:




MoQ Reality

Dynamic Quality

 Static Quality

A Reality Quanton


Equivalently we can show both examples like this:


MoQ Reality
quanton(DQ,SQ), and


A Reality Quanton


,  )

Our Quantonics font symbol used throughout our Quantonics site looks like this full size:

It replaces Western culture's classical legacy, Aristotelian equals sign, '=.' It acknowledges and reminds us actual quantum systems (i.e., Static Quality) may coobsfect each other at Planck rates of ~1043 spatial (n¤t temporal) flux, i.e., cycles/changes per unit spatial reference. Reference units are arbitrary; however, classical science has 'settled' on some specific unit references which we tentatively adhere. It is important to understand that classical 'time,' as used by 'science' today, is naught but classical space and classical space 'rate.' Classicists, today, at Millennium III's beginning have n¤ coherent understanding of time. Ditto mass. Both, like 'real' numbers, are proxies of spatial extensity. Why? Classical Greek concepts invented by Parmenides, Aristotle, et al., and further manipulated by Descartes, Newton, Einstein, et al., have disabled modern humankinds' abilities to view time as Bergsonian quantum-qualitative and "durational." This is mostly what Zeno's (of Elea) paradice are about. Doug - 4Dec2002.

< DQ SQ > is Quantonic Quality-Interrelationship notation.
   This notation is
a dual of Dirac's classical equivalent: < DQ | SQ >. You may see how we replace SOM's red vertical bar/wall/schism/Sheffer-stroke "binary alternative denial (BAD)" with a Quality Interrelationship. Our green Q comveys ubiquitous, interpenetrating DQ, and our red represents quantonic omniadic interrelationships between/among attractors of any MoQ quanton. There is n¤ SOM schism! Our Quality-Interrelationship symbolizes omnimensional nexuses among n¤nactual reality and actual reality. Left and right lose semantic content here since any quanton could commingle any dimensional (vector: left, right, up, down, front, back, etc.) c¤mbination of quanton c¤mplements. However, when we can, we habitually place n¤nactual stuff like DQ, VES, and c¤mplex comjugates, etc. on our left and actual stuff like SQ, PES, and reals, etc. on our right.
Tao, Way, harmony, MoQ's DQ  SQ, li-la dance, S & O unified, reality loop, fecund circle, wave, wayve, wave-c¤mplement, wayve c¤mplement, comtinuum, perpetuum of life, path of life, interpenetration, co-within-ness, commingling, non-individuated both/and, dynamic union of polar opposites, conjugate/comjugate, 2D-quanton, 2D-qwf, two h-bar least actions, two quanta, balance of forces, left brain & right brain, fermions & bosons, yin & yang, orient & occident, <0, 1, 2, 3, ..., n>, 'contraria sunt complementa,' (i.e., 'opposites are complementary,') etc.

To contact Quantonics write to or call:

Doug Renselle
Quantonics, Inc.
Suite 18 # 368 1950 East Greyhound Pass
Carmel, INdiana 46033-7730

©Quantonics, Inc., 1999-2030 — Rev. 16Apr2016  PDR — Created 17Sep1999  PDR
(27Jan2000 rev - Add two symbols: Island of Uncertainty, and Tentative Isoflux.)
(17Aug2000 rev - Change 'omnicontextual' to 'omnicomtextual' in first definition [] above.)
(26Aug2000 rev - Add 'Planck Quantum attractor.')
(26Aug2000 rev - Add 'Planck Quanton.')
(29Aug2000 rev - Add 'isot' tentative, and 'ison' nonpreferential isoflux attractor symbols.)
(2Sep2000 rev - Revise description of Planck quanton.)
(3Sep2000 rev - Add bold link labels to some symbols.)
(14Sep2000 rev - Add 'MoQ Quanton.')
(17Sep2000 rev - Add DQ and SQ colored letters below quanton with wingdings double arrow.)
(29Sep2000 rev - Delete obsolete text. Add 'comnects' to iso-attractors.)
(11Oct2000 rev - Add animate Planck quanton.)
(27Nov2000 rev - Add link to Classical vis-à-vis Quantonic Equals.)
(18Jan2001 rev - Add quanton uncertainty interrelationship wingding semiotic.)
(8Mar2001 rev - Change all quantum comtextual 'con' to 'com.')
(23Mar2001 rev - Change 'informed' to 'emerqed' under MoQ Quanton.)
(10Jul2001 rev - Add pendulum comment to our animate Planck quanton.)
(26Jul2001 rev - Extend Planck Quantum semiotic with quantum_2 and quantum_ comments.)
(26Jul2001 rev - Reformat page's table and text.)
(12Aug2001 rev - Change 'their' to 'there' in 26Jul2001 parenthetical. Extend quantum_ comments.)
(21Aug2001 rev - Add anchor to quantum_
parenthetical notes above.)
(24Sep2001 rev - Minor typos. Correct radius vis-à-vis diameter mistake.)
(18Jan2002 rev - Extend our
Quantonics English Language Remediation. Add some links. Minor corrections.)
(18Jan2002 rev - Add top of page frame-breaker.)
(7Feb2002 rev - Add Riemann comments to Planck Quanton. Add our n¤vel )
(7Feb2002 rev - Add classical and quantum square root symbols.)
(8Feb2002 rev - Extend Planck Quantum comments in red. Minor edits to our Riemann Fermionic Quanton.)
(16Feb2002 rev - Add anchor to Square Roots in Quantonics.)
(24Apr2002 rev - Insert step 5 in our Riemann Fermionic Quanton semiotics table.)
(24-25Apr2002 rev - Add link from Riemann Fermionic Quanton step 5 to applied Riemann Recursive Square Root.)
(7Jun2002 rev - Add Möbius 3-Primæ Fermion link to our Riemann Fermionic Quanton semiotics table description. Ditto sqrt symbols.)
(21Jul2002 rev - Change QELR links to A-Z pages.)
(8Sep2002 rev - Add classical and quantum i as dichon/quanton to square-root symbols. Add arbitrary chiralty notes.)
(24Sep2002 rev - Repair minor typo.)
(17Oct2002 rev - Add afterthought to our Riemann Fermionic Quanton.)
(24Nov2002 rev - Upgrade quantum square root.)
(4Dec2002 rev - Add clarifying Riemann 's' function note to our Riemann/Quanton analogue discussion.)
(4Dec2002 rev - Extend our 'equals' font discussion. Add Sheffer stroke comment to our Dirac analogue discussion.)
(4Dec2002 rev - Reset legacy red text. Extend Planck Quantum discussion with a description of Dawkins' meme.)
(26Dec2002 rev - Correct some legacy links.)
(2Jan2003 rev - Add browser-dependent symbol font comment in our Riemann discussion.)
(14Jan2003 rev - Alter page top font remarks. Extend Planck quantum remarks.)
(16Jan2003 rev - Add Buridan's Ass comment under quantum square root.)
(4Feb2003 rev - Add a 'quantum square root' anchor.)
(7Feb2003 rev - Replace Symbol fonts with GIFs for browser generality. Replace arrow Wingdings with GIFs.)
(6Jul2003 rev - Extend Planck Quantum.)
(10Aug2003 rev - Update links to our review of A Beautiful Mind.)
(20Aug2003 rev - Change 'or' to 'and' under Planck quantum. N¤ naked 'ors' allowed in quantum comtexts!)
(20Aug2003 rev - Add "classical circle presumed inanimate" link under quantum pi to our Bergsonion Duration as Circle.)
(13Feb2004 rev - Adjust height constraints in table.)
(16Apr2004 rev - Add anchor to beginning discussion of Riemann's Hypothesis. Reset legacy red text. Add new red text comments and links.)
(16Apr2004 rev - Repair quantum square root gif link from 2002 News to A Beautiful Mind.)
(30May2004 rev - Add fuzzon.)
(31May2004 rev - Put 'Lorentz'' name back in classical context under 'fuzzon.' Add QTM-clarifying links under 'fuzzon.' Etc.)
(2Jun2004 rev - Typos.)
(5Jun2004 rev - Add link to 3D Fuzzon. Reformat page title.)
(8Sep2004 rev - Reset red text box. Add red text under Quantonics Fuzzon.)
(2Oct2004 rev - Correct typo under Riemann Quanton.)
(31Dec2004 rev - Put a 'q' (quantum) subscript on a quantum comtextual use of 'unity.')
(8Mar2005 rev - Add links under 'fuzzon.')
(21Apr2005 rev - Update 'Planck Quanton.')
(15Sep2005 rev - Reset red text. Typo in last update.)
(17Oct2005 rev - Add link to 'select.')
(10Nov2005 rev - Repair How XXXites Measure links.)
(13Mar2006 rev - Add comments re: Uncertainty symbol as Heretical Light.)
(2,6May2006 rev - Add 'quanta' QELR link under 'Planck Quanton.' Add least uncertainty comments under 'Planck Quanton.')
(22May2006 rev - Add 'Gnostic X' anchor appropriately.)
(29Jun2006 rev - Add 'Ensemble Free Will' link to our Value~included~middle symbol.)
(6Sep2006 rev - Superpose 'ad oculos' link.)
(9Jan2007 rev - Add 'BAWAM Explication' link to BAWAM Square Root graphic.)
(7Feb2007 rev - Add cell label to 'Quantum Island of Uncertainty Attractor.')
(16Mar2007 rev - Add Quantonics' font Xx as quantum~uncertainty interrelationshipings.)
(12May2007 rev - Add 'gn¤stic' comments re: Light.)
(11Jun2007 rev - Repair h-bar equation under Planck Quanton. See red text.)
(2Jul2007 rev - Add Quantonics' novel 2007 boson and fermion symbols.)
(2,5Aug2007 rev - Reset legacy red background. Update 'Value Interrelationshipings' graphic section.)
(15Sep2007 rev - Replace all pi gifs with pi symbol fonts.)
(10Dec2007 rev - Add Hoffmann TSSotQ Act II review link.)
(25Feb2008 rev - Update Quantum Square Root re: quanton in a box has 'state' n.)
(21-22Oct2008 rev - Reformat to replace Symbol and Wingding fonts with gifs. Remove legacy red text. Update text on fuzzons.)
(6Dec2008 rev - Add 'omnivalent' link.)
(31Dec2008 rev - Add commentary on Planck's total energy of a system as it relates to macroscopic quantum~uncertainty. As a system's energy grows, its macroscopic uncertainty grows.)
(27Oct2009 rev - Add 'H-bar' anchor.)
(24Jul2010 rev - Add links to our fermion symbol graphics.)
(20Jan2012 rev - Add cuneiform graphics under Quantonics Interrelationships to support recent efforts in Autiot, Qabala, quantization, scintillation, gradience, chaos, and scintillation.)
(23Jan2012 rev - Add 'Grail Nexi' anchor.)
(1,6Feb2012 rev - Add link to Hodgepodge 2011 'Lightning Bolt Segments.' Repair typo.)
(28Jul2012 rev - Add chaos link under 'interrelationships.' Reset legacy markups. Add red text under quantized 'interrelationshipings.')
(3Aug2012 rev - Add 'Ensemble Quantum Interrelationshipings' link under interrelationshipings.)
(4Sep2012 rev - Add three new chaos~equilibria graphics using Quantonics' Cuneiform: Reference, squeezed, stretched.)
(14Jul2014 rev - Add 'Uncertainty Recursion' anchor.)
(16Feb2015 rev - Add 'Quantonic Quality Interrelationship' anchor near page bottom.)
(21Apr2015 rev - Add 'Wayve' anchor.)
(20May2015 rev - Add 'Fermion' anchor.)
(9Aug2015 rev - Make page current.)
(16Apr2016 rev - Add 'Quantum Island of Uncertainty Attractor' anchor. Make page current.)