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Creative Evolution
of
Quantum Systems

CE of QS uses Prigogine and Stengers' Order Out of Chaos text for a kick start.
Allow our journey to continue there...

11-12,17-18Aug2011

(Latest update: 12Jan2015 - Fix previous update's 2015 date From Jun to Jan. Change Quantonics: in aspects list just below to Quantonics ~Systemic~Antinomials:)
(Latest update
: 7Jan2015 - Update Text Segment, Commentary and Remediation Table regarding 'selection' as 'quantadulation.')
(Latest update: 28Dec2014: Add links to 'quantum time and quantum reality.' Make page current. Adjust color.)
Latest update: 13Aug2014: Add 'quantonics' to memeos list.
Latest update: 31Jul2014: Qabala's Game of Life.
Doug


Doug's approach to this page middle~includes and Bohmesque enfolds many implicate quantum~aspects of a variety of memeos, including:

All of the above, and more, benchmarks Doug's own opus solipsistically (an ultimate self's holographic perspectives similar Hesse's efforts in Steppenwolf) referred Quantonics.

Doug's need to meticulously describe and compare classical notions of equilibrium and semasiological [enthy]memeos of quantum~equilibria mandates his endeavor here. Doug intends to accomplish this in fresh lightings provided by [f]lux of quantum~remediation.

Doug has chosen a single paragraph as basis for this work. It is in Chapter VII of P&S' Order Out of Chaos (OOoC) section-titled 'The Temporal Evolution of Quantum Systems.'

Doug quotes that paragraph entirely, and then parses it into smaller text segments for purposes of apropos detail comparison of classical (notional) and quantum (memeotic) hermeneutics of them.

Let's preview said paragraph in its original entirety:

Doug transcribed above paragraph from Prigogine and Stengers' Order Out of Chaos, p. 226 of 349 total pages including index, a Bantam Paperback, April, 1984.

"We shall now move on to discuss the temporal evolution of quantum systems. As in classical mechanics, the Hamiltonian plays a fundamental role. As we have seen, in quantum mechanics it is replaced by the Hamiltonian operator Hop. This energy operator plays a central role: on the one hand, its eigenvalues correspond to the energy levels; on the other hand, as in classical mechanics, the Hamiltonian operator determines the temporal evolution of the system. In quantum mechanics the role played by the canonical equation of classical mechanics is taken by the Schrödinger equation, which expresses the time evolution of the function characterizing the quantum state as the result of the application of the operator Hop on the wave function (there are, of course, other formulations, which we cannot describe here). The term 'wave function' has been chosen to emphasize once again the wave particle duality so fundamental in all of quantum physics. is a wave amplitude that evolves according to a particle type of equation determined by the Hamiltonian. Schrödinger's equation, like the canonical equation of classical physics, expresses a reversible and deterministic evolution. The reversible change of wave function corresponds to a reversible motion along a trajectory. If the wave function at a given instant is known, Schrödinger's equation allows it to be calculated for any previous or subsequent instant. From this viewpoint, the situation is strictly similar to that in classical mechanics. This is because the uncertainty relations of quantum mechanics do not include time. Time remains a number, not an operator, and only operators can appear in Heisenberg's uncertainty relations."

"We shall now move on to discuss the temporal evolution of quantum systems. As in classical mechanics, the Hamiltonian plays a fundamental role. As we have seen, in quantum mechanics it is replaced by the Hamiltonian operator Hop. This energy operator plays a central role: on the one hand, its eigenvalues correspond to the energy levels; on the other hand, as in classical mechanics, the Hamiltonian operator determines the temporal evolution of the system. In quantum mechanics the role played by the canonical equation of classical mechanics is taken by the Schrödinger equation, which expresses the time evolution of the function characterizing the quantum state as the result of the application of the operator Hop on the wave function (there are, of course, other formulations, which we cannot describe here). The term 'wave function' has been chosen to emphasize once again the wave particle duality so fundamental in all of quantum physics. is a wave amplitude that evolves according to a particle type of equation determined by the Hamiltonian. Schrödinger's equation, like the canonical equation of classical physics, expresses a reversible and deterministic evolution. The reversible change of wave function corresponds to a reversible motion along a trajectory. If the wave function at a given instant is known, Schrödinger's equation allows it to be calculated for any previous or subsequent instant. From this viewpoint, the situation is strictly similar to that in classical mechanics. This is because the uncertainty relations of quantum mechanics do not include time. Time remains a number, not an operator, and only operators can appear in Heisenberg's uncertainty relations."

 

Doug's efforts here take us even further into a pool of obtainable understanding of omnifferencings among classical equilibrium and quantum~equilibrium.

We have much to do here, and it will abundantly apply directly to Doug's years~long plus efforts in his QELR of equilibrium.

Keep in mind that all this extensive work is prerequisite for Doug's continuing Chapter 4 of his online FEP Economic Value Feuilleton Chautauqua textbook.

Doug - 17Aug2011.

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"We shall now move on to discuss the temporal evolution of quantum systems. As in classical mechanics, the Hamiltonian plays a fundamental role. As we have seen, in quantum mechanics it is replaced by the Hamiltonian operator Hop.

Basic issues, classical vis-à-vis quantum include these:

  • Linguistically definite articles [e.g., 'the'] aren't permitted in real quantum language systems. Why? Macroscopic quantum~uncertainty.
  • Unitemporality [i.e., One Time Fits All, OTFA] isn't valid in real quantum systems and languages which describe them.
  • Quantum~systems æv¤lve quintessentially via ubiquitous~perpetual scintillation of quanta. Therefore all quantum~evolution issi quantum~uncertain (classically indeterminate). Quantonics HotMeme™ "Quantum~evolution requires its adherents to gnostically embrace indetermination." Quantonics HotMeme
  • Classical Hamiltonian logic depends upon classical commutation which is invalid in real quantum systems. Indeed all classical 'equivalence relations' are invalid in real quantum systems.
  • Classical operator mathematics are formal-mechanical and dialectical and thus their classical-evolutionary 'states' are scalars. This whole system of classical thingking is bogus, ersatz, facile, faux, pseudo, inutile, deceit, etc.

A classical notion of Hamiltonian Operator may now be remediated using a CeodE 2012 graphic image Doug created called EWing Ensembles. See that graphic.

Here is relevant text nearby that graphic: "Following Prigogine and Stengers' lead, Doug's graphic is a kind of quantum Hamiltonian, but non static,
dynamically everywherings-everywhenings quantum~fractal~recursive. See pp. 220-221 out of 349 total, Order Out of Chaos."

Recursion labels on that graphic represent quantum~fractal~hologra[[m][ph][il]]ic~stindyanic interrelationshipings among EWings composing ensemble qwfs. Those pluralities of comcurrent evolutionings imply indetermination (uncertainty), noncommutation, non identity, non equivalence, absence of any notions of 'scalar' holds-still-isms.

They imply presence of massively heterogeneous and coobsfective chance~choice~changings borne of perpetual quantization~scintillationings at each recursion instance.

Dialectics cannot offer any exegeses of pure quantum~dynamicity. State cannot explain: choice, chance, nor change.

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This energy operator plays a central role: on the one hand, its eigenvalues correspond to the energy levels; on the other hand, as in classical mechanics, the Hamiltonian operator determines the temporal evolution of the system.

Basic issues, classical vav quantum include these:

  • Classical eigenvalues are scalars. Often they are distilled to bivalency [zero or one]. Scalar and bivalent 'values' are of n¤ Value in real quantum~systems.
  • Classical notions of 'energy levels' are simply bogus in real quantum systems since quantum~energy is flux, quantized and absolutely changing and evolving flux which may n¤t be classically sampled and held as ideally, Platonically stoppable state.
  • Hamiltonian 'operators' do n¤t classically-determine anything. Quantum reality is macroscopically uncertain and in n¤ way is or can be classically deterministic. Quantum reality scintillates quanta which massively SOrON ensemble~selection (quantadulation) of whatings happenings nextings [Peircean] abductively based upon evolving energy wellings in said quantal scintillation processings' l¤cal and n¤nl¤cal [as described in Bell's Theorem(s); bogusly described as "hidden variables" by retarded quantum-mechanics] comtextings. We see instead of classical idealism and positive realism, ensembles of evolving quantum energy wellings choosings, chancings, and changings many to many coobsfectively at up to Planck rates of quantum flux. There is n¤ monotime, and there is n¤ monodirection (trajectory). Doug - Rev'd. to add quantadulation - 7Jan2015.

Doug has been studying ancient texts and their associated language (Autiot~Gematria) with an intent of showing how those languages co~benchmark Doug's opus in Quantonics.

Doug has found that Autiot~Gematria (ideogram~numbers) benchmark both Quantonics and post~modern Quantum~Empiritheory and its attendant Quantum~Philosophy. Autiot~Gematria are supported philosophically by at least four other major areas of ancient thought: Sepher Yetsira, its Sefirot, Qabala, and various Gnoses like Chaldæan, Valentiniun, Essene, Naassene, Merovingian, et al. Doug, solipsistically, has chosen Chaldæan gnosis as his favorite benchmark of post~modern Quantum~Empiritheory.

Briefly, ideogram~numbers correlate quantons(wave,wavicles), quanton(¤,o), quanton(¤,~), and so on...

Using modern QED and QCD as scientific allegories of, respectively, transmutative evolution and atomic creation itself, Doug has shown that quantadulation is essence of both QED and QCD, and thus essence of all reality.

Correlation of ancient th~ought memes and post~modern QED and QCD as analogs of ontological quantum~reality provides, in Doug's opinion, support SEPq of quantum~philosophical approaches using those ontological analogies.

Essence of all that is simply, evolutionq trumps statec.

In studying those correlations and their detail comparisons, which Doug refers as 'vis-à-vis,' Doug uncovered something powerfully relevant a key aspect of equilibriumq.

That powerful relevance distills to this: equilibriaq issi peaceq. But, and there is always a but, classical ideas about equilibriac as ideal state are bogus. Quantum memes about equilibriaq offer potential SEPq validity.

Ancients revered Song of Songs from OT. Few have qua to grasp why. One of Doug's mentors in this regard is Carlo Suares. Suares' opus has helped Doug demonstrate how Quantoncs cobenchmarks quantum~enthymemes apparent in hermeneutics of Song of Songs' ancient text.

Verse one is about quantum~equilibrium. Is that amazing? It is to Doug.

Verse 1, in Autiot is very simply, "Shyar ha Shyareem Esher LeShalomoh."

Doug will avoid omniscussion of its current bogus translation involving Solomon. (Solomon isn't even remotely involved, period.)

Suares' Anglican interpretation of Verse 1, "Residue of Residues Witnesses~Confirms Her Peace."

Doug revises that slightly to, "Song of Songings Witnesses~Confirms Her Peace."

It is important to grasp that essence of Qabala is flux. Given that, then 'song' is flux, ostensed 'song' is a quantum~wave~function.

If that is an acceptable hermeneutic heuristic, then we can choose to see qwf of qwfings as a phase~phasingsq, flux~fluxings self-other interrelationshiping which assesses change~chaos, assesses gradience[ings]q of uncertaintyingsq.

It is important from any quantum~comtextual venue to keep Suares' meme of residue associated with his meme of song. When we do quantum~measurement, we use phase~interrelationshipings to assess measurement as a signatureq of said phase relative measurement itself. Said signature is a qwf. It's energyings assess similarity of two or more qwfs being phase~interrelated.

Lower energyings shows they are more similar, and higher energyings shows they are less similar.

For example in any noise cancellation (Maxwell Smart's "zone of silence.") process, phase~interrelationshipings of environment background wave energy to itself are intentionally minimized. Bose makes earphones which partially achieve this quantum~affectation. Run~silent submarines need this as an imperative. Some aircraft too.

That kind of sound energy cancellation, just like light interference and cancellation requires entangledq double energy corelatively inverted to make it happen. In this lightq we can thinkq of silenceq as darkq. Pasquale, "Mom, please turn the dark switch off." Keenly observe classical negation, classical minus sign is useless here. All quantum flux is positive and may NOT be classically negated!

Also we have to ponder mix of fluxings which compose said signature...so a kind of quantum~Fourier unentangling of several and possibly more flux primitives may be needed. This would be a very interesting quantum~project to endeavor, especially in attempting to make it general and n¤t application specific.

In a way, said signature is a gradient assessment of any interrelationshiping's evolvingq signatureq.

Again we see gradient~chaos as a master of how much uncertainty 'exists' in any phase~interrelationshipings we are assessing. (Doug isn't attempting clarity here. He is trying to capture his stream of comsciousness. Time will heal Doug's coarseness here. Recall Sam Seaborn in West Wing? :) Search for signature at Doug's QELR of cancel.

Quantum reality shows us in abundance that n¤ two songs are aver identical (in any classical sense). Any given song cann¤t be sung identicallyc two or any number of times. Omnifferencings of those comparisons become 'residue.' Residue is phase comparison of any song against its reperformance. There is always a residue. Residue is another way of saying quantum~uncertainty.

So Suares' interpretation, "Residue of Residues witnesses~confirms Her Peace," can be linguisticallyq evolved to, "Uncertainty of Uncertaintyings Con(m)firms Her Peace."

Doug startled self with a revelationq of "Peace as uncertainty."

To classical minds peace is absence of change, idealc statec, immutability (Newton for example), Keynesian centrallyc plannedc controlc of stabilityc, etc.

To quantum~stagings peace is uncertainty. Uncertainty disables ideal classical determination.

Compare Heraclitus', "Dialectic is war." It's similar saying "Determinate assessment of other breeds conflict and war."

HotMeme™ "Uncertainty garners tolerance of other."™ HotMeme

...a theme of Verse 1 of Song of Songs.

  • Certainty borne of classical concrete linear absolute-state-determinism ushers war, vis-à-vis
  • Uncertainty borne of quantum~absolute~change garners peace.

Simply, embrace uncertainty, eschew determinism.

Suares says-writes it like this, "Embrace indetermination." Gnosis agrees. Gnosis claims, "Monism [of absolute state] is deceit." Doug agrees.

A meme to ponder deeply,

Doug - 7Jan2015.

Note: Doug uses 'ostense' and its linguistic variants in a quantum sense of ostentation exposes evolution of memes as ostentation of memes, growthq, stretching, transmuting... as ostentationq.

Classical 'ideas' of ostentation depend upon static methodsc of 'reason.' Quantum memes of ostentation evolveq, belying (giving the lie to) static reasoning based upon an (pre)assumed state-ic reality.

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In quantum mechanics the role played by the canonical equation of classical mechanics is taken by the Schrödinger equation, which expresses the time evolution of the function characterizing the quantum state as the result of the application of the operator Hop on the wave function (there are, of course, other formulations, which we cannot describe here).

Basic issues, classical vav quantum include these:

  • Classical canon 'laws,' 'principles,' 'dogma,' and 'orthodoxy' are all without [f]lux essential Value in quantum reality. In quantum~reality they are ESQ, dead.
  • Classical canon 'laws,' 'principles,' 'dogma,' and 'orthodoxy' depend upon a classical presumption of 'state,' 'stoppability,' 'zero momentum,' etc., in order to be 'classically valid.'
  • "The wave function," appears to be saying one can specify, classically, an analytic lisr 'wave function.' Quantum wave functions are n¤t classically localable, isolable, separable, reducible. Quantum absolute change plus holographic middle inclusion deny essentially all classical lisr notions.
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The term 'wave function' has been chosen to emphasize once again the wave particle duality so fundamental in all of quantum physics.

Basic issues, classical vav quantum include these:

  • How many ways can we think about this? Let's use two terms as representative of dialectical (SOM) thingking and two terms as representative of quantum thinkqing. Dialectically let's use quantity and objective. Quantumly let's use quality and subjective. Then using text in a graphical way let's use dichon(~, o) to classically show its closed-continuous wave lisr duality as objective and quantitative (particulate). Similarly allow Doug to use quanton(~,¤) to quantumly show its open~quantized wave holographically EIMA complementarity as subjective and qualitative (fluxic). In summary, then:
    • dichon(~, o) represents classical wave-particle lisr duality, and
    • quanton(~,¤) represents quantum wave~wavicle complementarity.
  • So Doug offers two vastly omniffering world views of classical wave-particle duality vis-à-vis quantum wave~wavicle complementarity.
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is a wave amplitude that evolves according to a particle type of equation determined by the Hamiltonian.

Basic issues, classical vav quantum include these:

  • Classically 'wave amplitude' is a valid metric for energy. Quantumly only wave flux rate is a valid metric for energy.
  • Classical maths only work with dichons(~, o): static middle-exclusion is required. Classical maths have no means of 'operating' on quantons(~,¤): fluxing middle~inclusion is mandatory.
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Schrödinger's equation, like the canonical equation of classical physics, expresses a reversible and deterministic evolution.

Basic issues, classical vav quantum include these:

  • In general classical notions of reversibility are invalid in quantum~reality. Bosons and gluons may offer partial apparitions of reversibility, and that is all. Fermions and their CH3ings are quintessentially irreversible.
  • In general classical notions of determinism are invalid in quantum~reality. Quantum~reality is stochastic which means we are always uncertain to greater and lessor extents. We are limited to probable, plausible, and likely stochastics of quantized "guessing." In some cases our guesses, though, can be very precise (n¤t necessarily 'accurate').

See Doug's QELRs of chance, change, and choice.

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The reversible change of wave function corresponds to a reversible motion along a trajectory.

Basic issues, classical vav quantum include these:

  • There are n¤ 'classical trajectories' in quantum~reality.
  • There is n¤ 'classical reversibility' in quantum~reality.
  • etc.

It may k~now~ings be obvious to readers that quantization disables and invalidates classical notions of

  • linearity,
  • cause-effect,
  • y=f(t) continuity,
  • determination,
  • trajectories,
  • reversibility,
  • stability (especially in any sense of social OSFA planning and state-ic equilibrium borne on such invalid notion of social planning),
  • closure,
  • monism,
  • dualism,
  • positivism,
  • formal realism,
  • dialectic, and
  • so on...

Add 'so on...' link. Doug - 23Mar2014.

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If the wave function at a given instant is known, Schrödinger's equation allows it to be calculated for any previous or subsequent instant.

Basic issues, classical vav quantum include these:

  • Static 'event' instances AKA 'occurrences' may n¤t be 'determined' in quantum~reality.
  • Predication of 'previous' and 'subsequent' instances is always uncertain thus never classically determinate.
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From this viewpoint, the situation is strictly similar to that in classical mechanics. This is because the uncertainty relations of quantum mechanics do not include time. Time remains a number, not an operator, and only operators can appear in Heisenberg's uncertainty relations."

Basic issues, classical vav quantum include these:

Bold green is closest to a real quantum description Prigogine and Stengers uncloak in this paragraph. Overall though, their words belie countless classical SOM deceptions.

There is an abundance of learning to be had in this single paragraph. Don't waste it!

Doug feels obliged to list SOM's countless deceptions as they are relevant in this quoted text segment:

  • classical atemporality is manifest Error compared to quantum~atæmp¤rality,
  • quantum time is a (timings are) symptom(s) of quantum~flux,
  • quantum time issi n¤t classically continuous, rather quantum timings aræ quantized,
  • quantum timings aræ n¤t classical numbers, they aræ n¤t a classical monistic scalar stoppable measurable, quantum~timings aræ wave~functionings, quantized wave~functionings which aræ classically-concretely-stuxically-holdstillably immeasurable,
  • quantum timings aræ always uncertain since they aræ gradiently~quantized and thus open,
  • quantization of time guarantees its heterogeneity, unlike classical time which is assumed to be a monism: OSFA,
  • quantum~timings experience both quantum~equilibria and quantum~chaos complementary interrelationshipings (see quantum~relative) as do all symptoms of quantum fluxings,
  • etc.
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Thank you for reading,

Doug.


To contact Quantonics write to or call:

Doug Renselle
Quantonics, Inc.
Suite 18, # 368 1950 East Greyhound Pass
Carmel, INdiana 46033-7730
USA
1-317-THOUGHT

©Quantonics, Inc., 2011-2030 Rev. 9Apr2016  PDR — Created 11Aug2011  PDR
(29Feb2012 rev - Update 'Quantum Creative Evolution Remediations.' Reset legacy updates.)
(31Jul2012 rev - Reset legacy markups. Add 'perpetual' to ubiquitous~perpetual (also may be scripted
: perpetual~ubiquitous). Add links: chaos, commutation, equilibrium, quanta.)
(31Jul2012 rev - Add Bohm's own (self) 1952 interpretation, Parts I and II, of his own 1951 Quantum Theory text.)
(16Oct2012 rev - Update text segment 9 of OOoC quoted paragraphs.)
(23Mar2014 rev - Add 'so on...' link under table's item seven.)
(31Jul2014 rev - Add Qabala's Game of Life to Doug's list of 'Implicate Quantum Aspects.')
(13Aug2014 rev - Add 'quantonics' to memeos list.)
(28Dec2014 rev - Add links to 'quantum time and quantum reality.' Make page current. Adjust color.)
(7Jan2015 rev - Add "Uncertainty as Peace" as Doug's ostentationq of classical notions of equilibrium. Reformat Text Segment~Commentary~Remediation table. Update table contents. Reset legacy markups.)
(12,27Jan2015 rev - Retitle "Quantonics" aspects sublist, Quantonics~Antinomials. Add 'Why Peace is Uncertainty' link under segment 2 commentary.)
(9Apr2016 rev - Add 'CE Hamiltonian' anchor.)

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