U = 





I = 





J = 





K = 




2_{q}  
i_{q}^{2q} 
1_{q} e^{i}  


1_{q} = 
Compare our usage of Classical Equals to Quantonic Equalings^{5} 


Equals  "No Bell Inequalities permitted!" 
Equalings  "Bell Inequalities expected as quantum ubiquitous!" 

'the single most powerful argument for the use of a nonclassical logic in quantum mechanics.'" a probability should be assigned to every element of the [quantum]algebra of event[processe]s..." p. 359, Max Jammer, The Philosophy of Quantum Mechanics. (Our brackets and italicization of thelogos.) 'The probabilistic argument for a nonclassical logic of quantum mechanics,' Philosophy of Science 33, 1421 (1966), P. Suppes. 'the only convincing argument' for quantum logic..." p. 360, Jammer. TPoQM. Our approach is to assign potentia for unlimited probabilities and likelihoods to each quanton's interrelationships. We do this using quantonics' fuzzons. We offer a novel quantonics' fuzzons to fermion ontology for your consideration. A Primer on Quantum~Cuneiform's graphic entitled 'A Reservoir of Wave Functions.' 




0_{q}  _{q}  



2_{q} 

+_{q}  

















2_{q} 







Notes:
1  Hamilton's "hypercomplexity" illustrates quantum reality's own heterogeneity. It shows a second set of complex variables. Both are what we call "conjugates." It does n¤t show Quantonics' quantum comjugation, which requires, as we show above, introducing real quantum subjectivity. Of course, introducing quantum subjectivity breaks all classical rules which depend upon classical immutability/stability/stoppability (except for unitemporal objective motion), and classical Aristotelian/EEMD/Shefferstrokebinaryalternativedenial/lisr classicallynegatable, contradictable objective independence.
2  What we have done here is apply Quantonic n¤mbærs to Hamilton's quaternions in their representation (each of U, I, J, K are twospace planes and hyperplanes; their combination is threespace hyper volumes). Our approach is applicable in too, where matrices become 4 by 4. Dirac used to develop his relativistic version of QED. Indeed, that was Dirac's own epiphany: to use to solve QED relativity problems which flummoxed Pauli. See Tomonaga's Lecture 3 in his The Story of Spin, 1997 (translation), UChicP. Please realize that all of Pauli's and Dirac's accomplishments were purely classical. Perhaps what is most interesting to us is a general classical bias that physicists and mathematical physicists then felt it necessary to relativize quantum theory, but not to quantize relativity theory... Is that bias because relativity came first? We think so. Beware unitemporal classical cohesion (essentially classical causeeffect induction). Einstein's celebrity pulled lots of wool and paradigmatically disciplined lots of blinders. Beware celebrity! Too, beware Einsteinian classical relativity!
3  As we have shown elsewhere in Quantonics, when we say "real" that statement issi n¤t an analogue of saying "reality." Simply, real issi n¤t reality. Why? We can use Quantonic script to show you: realityquantons(reals'_complements,reals) which is very much like saying realityquantons(n¤nactuality,actuality), latter which most students of Quantonics are exceptionally familiar by now. See our real table entry in our review of EPR's paper EPR (large page).
4  As we have impressed on students of Quantonics elsewhere and frequently, classicists tend to use classical concepts to make quantum reality go away, and make quantum reality classically 'real.' Taking to zero is taking quantum reality to classical reality. See our relevant July, 2001 Flash commentary on classical 'gauge invariance.'
Least energy action e issi 2_{q}•_{q}•_{q}. Said Hamiltonian quaternion is an action representation. Zeroing zeroes and disables quantum action. It removes quantum flux from all classical notation and thingking. It, simply, is n¤nquantumreal. Notice how our better (yet still wanting, always wanting) Quantonics approach anihmatæs our representation of quantum action in its Hamiltonian quaternion emerqancy. Doug  28Jun2003.
5  Students of Quantonics may find it worthwhile to experience an epiphany that Quantonics' equalings are all "Bell inequalities." Indeed, all quantum n¤mbærs, all quantons, according to Quantonics' beliefs, are essentially quantum c¤mplementary "Bell inequalities." Bell's inequalities, as he propounded them, are classically presumed inanimate, excludedmiddle, and stateic. Naïve AKA "local" realists (classicists) insist upon a classical notional ideal 'equality' akin Aristotle's first syllogism, A=A. So finding inequalities, to a classicist, is a BIG surprise! Of course our equalings are anihmatæ, EIMA quantons. What makes "Bell's inequalities" inequalities? Quantum reality's intrinsic anihmatæ EIMA. Why is this quantum notion ironic and paradoxical to classicists? They view reality as inanimate, immutable, stateic, excludedmiddle, and everywhereindependentdissociative!
We created another n¤vel graphic which students may use to visualize any quanton's EIMA:
That sphere issi a sphere of p¤tentially (an) ¤mnivalent (ensehmble of) quantum includedmiddle c¤mman¤space c¤pula. It shows that when we depict quanton(c¤mplement^{qi},c¤mplement^{qj}), its quantum EIMA c¤mman¤space issi massively heter¤gene¤us. Imagine our quanton's c¤mman¤space c¤pulum as only an iceberg tip of that c¤mman¤space sphere. Then imagine all that as abs¤lutely anihmatæ quantum flux.
Here is an analogous ~circular GIF showing what we intend, in 2D, less abstractly (coarse 30° increments for readability; imagine that disk of c¤mplements being rotated ecliptically too, to make a quasisphere, and then anihmatæd):

Here you can see heter¤gene¤us, ensehmble quantum c¤mplements without having to infer their presence only by a spherical 'hive' of c¤mman¤space anihmatæ EIMAs. This is a sort of sledgehammer way of saying, "There are n¤ classical dyads in quantum reality, and there are n¤ Aristotelian syllogisms in quantum reality. Too, if you fathom what we intend, Bell's inequalities are hologral and thus perpetually~ubiquitous in quantum reality. There are n¤ 'equalities' in quantum reality!" See identity. See equals.
6  At beginning of section 79 of Dirac's The Principles of Quantum Mechanics he says, "The complete Hamiltonian for electrons and positrons interacting with the electromagnetic field is
T¤ sh¤w this ihn Quantonics scrihpt wæ d¤ this
It's just that simple!
Doug  10Jul200317Feb2005