**An**

**F**.

**.**

__E__**.**

__D__**[[**-]

*Cognitive***]**

*Psycho*

*Historical**-*

__Dialectical__*'*

**Meta**-**Model**'**of the**

*'''*

**Meta**-**Evolution**'''**of Modern Physics**--

**N**

**Variation on a Theme of Sander Bais's**

__Q__**:**

__The Equations__**, esp. per its pp.**

*Icons of Knowledge***10**

**&**

**94**.

Dear Readers,

**. Sander Bais's brief,**

__Background__**96**-page book

*"*presents "laws of nature" equations of modern physics, including equations of Newtonian dynamics, Special Relativity, General Relativity, "Superstring" Theory, Hydrodynamics [The Navier-Stokes Equations], and of

**"**__The Equations__*mildly-*[the Korteweg-DeVries Equation], in something approaching the historical order of their discovery.

**"**__non__linear**solitary**"**waves**On page

**10**of that book, Bais summarizes his book's content by means of a "Map of contents" diagram, and on page

**94**, near its end, he offers a diagram similar to the following, which he discusses from p.

**93**to p.

**95**, and which presents a '''grand overview picture''' of modern physics as a whole, to-date, in the form of a "magical cube positioned in the 'space of theories' ", noting that this "magical cube" is "a different -- three-dimensional -- representation of the 'map of contents' presented at the beginning of the book. The great turning points in physics are situated at the corners of this cube." [p.

**93**]:

This "magical cube" represents, in

**F**.

**.**

__E__**.'s terms, a**

__D__*"*of the historical

**meta**-**model**"*"*of the fundamental theories of modern physics, in the form of a theories

**meta**-**evolution**"*-*progression of physical theories, i.e., of theoretical

**of physics, starting with "Newtonian Dynamics" as <<**

*systems***>> theoretical system.**

*arche'***. What I wish to show in this post is how the**

__Objective__**F**.

**.**

__E__**.**

__D__*"*, the

**First**__Dialectical__**Arithmetic**"

__N__**axioms-system of**

__Q___

__Dialectical__*, whose "meta-number set" is --*

**Arithmetic****N**

**........**

__Q__

__=__**........{**,

__q__/1**,**

__q__/2**,**

__q__/3**. . . }**

-- can be used to render a more insightful version of this "magical cube"

*"*

**meta**-**model**"**, in a way which includes a**

*mathematically***of**

*prediction***, a**

*the next major theoretical development in modern physics***which will be quite shocking to many followers of modern physics.**

*prediction*

__N__

__Q___

__Cognitive Psycho__

__Historical__

__-__

__Dialectical__

__Mathematical__*Meta*

__-__**Model**

__of the__*Meta*

__-__**Evolution****.**

__of__*Modern Physics*In

**F**.

**.**

__E__**. parlance, a "**

__D__**model**" of this kind would be restricted to the description of the "

**Evolution**"

**a particular theory of modern physics. A**

*within**"*describes the

**meta**-**model**"*"*from one or more

**-**__meta__**evolutionary****jumps**"*predecessor*physics-theories, to one or more

*successor*physics-theories.

In concurrence with Bais's model, we will take, for our

**, Newton's theory, as systematized in Newton's <<**

__dialectical__model**>>, as the <<**

__PhilosophiĆ¦ Naturalis Principia Mathematica__**>>, or first emergence, of modern physics theory.**

*arche'*Bais splits Newton's theory across two nodes of his "magical square", one marked "Newtonian Mechanics", and the other marked "Gravity".

Unlike Bais, we will

**split the theory of Newton's <<**

__not____>> across two categorial/theory terms of our categorial/theories-progression__

*Principia**"*, but will represent it by a single term in that terms-progression.

**meta**-**model**"Indeed, vacating that node of Newtonian, <<

**>> content makes it available to represent the most advanced**

*arche'**"*of physics

**meta**-**meristem**"*"*in our

**meta**-**evolution**"*"*: that of the predicted next

**meta**-**model**"*"*in physics theories

**-**__meta__**evolutionary****jump**"*.*

Thus, in our theory, Newton's total <<

__>> theory is assigned to the generic__

*Principia***N**

**"meta-number"**

__Q__

__q__**/1**, which, as interpreted to represent '''

**''' as a whole, is denoted by**

__Newtonian Dynamics__

__q__**/N**, or

**--**

__N__

__N__**...**

**[--->**

**...**

**.**

__q__/1Therefore, using the

*"*, our model can be rendered "equationally" as follows --

**Dyadic Seldon Function**"

__>-|-<__**t**

**........**=

**........**

**<**

__N__>^(2^t)-- and the various s

**ages,**

__t__**t**

**...**

**=**

**...**

**0**through

**t**

**...**

**=**

**...**

**3**, of our [[

*cognitive**-*]

**]**

*psycho***unfolding of the progression of modern physics theories, unfolds, per this**

*historical**"*, as set forth in the next section below.

**meta**-**model**"Note that, as modern physics theories, the critique and the progression of these theories is driven,

**, as with "pure-mathematical", axiomatic theories, by the**

__not__**, internal logico-conceptual deficiencies of each theory in the progression, such as the "Goedel formulae", each representing an "unsolvable equation" of a given axiomatic system of arithmetic.**

*immanent*The progression of the theories of modern physics is driven by emerging discrepancies between the experiential expectations of each physics theory, and actual human experience, including discrepancies between theory predictions and the actual data of those

**partially**known as scientific experiments.

__designed__experiencesOnly with the experience of such a theory/data discrepancy does the re-consideration of the internal conceptual logic of the thus newly experience-discrepant theory -- the review that may set the stage for a leap into a successor physics theory-system -- officially begin.

__Stages in the__*Progress*of the*Theories of Modern Physics*Reconstructed/Predicted by Our*Meta**.*

__-__**Model**

__Stage__

__0__**...**

**t**

**...**=

**...**

**0**

**....**

**==>**

**....**

__>-|-<__**t**

**........=........**

__>-|-<__**0........**

**=**

**........**

**<**

__N__>^(2^0)**...**

**=**

**...**

**.**

__N__St

__age__

__1__**...**

**t**

**...**=

**...**

**1**

**...**

**==>**

**...**

__>-|-<__**t**

**.......**

**=**

**........**

__>-|-<__**1**

**........**

**=**

**........**

**<**

__N__>^(2^1)**........**

**=**

**........**

__N__**..**

**+**

**..**

__delta_____N__**........**

__=__**........**

__N__**..**

**+**

**..**

__q__/NN**........**

__=__**........**

__N__**..**

**+**

**..**

__S__-- wherein --

__delta___

__N__**........**

__=__**........**

__q__/NN**........**

__=__**........**

__S__*pecial Relativity/Electromagnetic*Theory**........**

__=__**........**

**;**

__S__

__S__**...**

**[--->**

**...**

**.**

__q__/2

__delta___

__N__**........**

__=__**........**

__q__**/**

**NN**

**........**

__=__**........**

**-- Here's how Bais narrates this transition -- that of the emergence of the theory-category of the**

__S__

__self__*-*of

**critique****Newtonian Dynamics**-- on pp.

**93**-

**94**: "At the lower back edge, labeled by Newton's constant, we find the Newtonian physics (mechanical and gravitational theory) we have been harassed with in high school. The theory of Special Relativity connected to the universality of the velocity of light opened up

*a new*, as symbolized by the bottom plane coming out of the page" [

__dimension__*emphasis*by M.D.].

__added__Here too the

**dialectical***should go beyond Bais's model.*

**meta**-**model**The

*of*

__-__**self****critique****Newtonian Dynamics**began,

__with Einstein's Special Relativity Theory, but with Maxwell's Electromagnetic Field Theory.__

**not**Maxwell's theory brought into modern, mathematico-science, in

**universal***form, the forces of electricity and magnetism, which it also unified, and, explained, via that unification, the origin of light and of other parts of the electromagnetic waves' spectrum, and determined the velocity of light.*

__field__theoryNewton had mentioned these forces, in his <<

__>>, as among the next forces to be tackled using the new method that he had exemplified in the <<__

**Principia**__>>, for contact mechanical forces, and for the universal gravitic force, but Newton did not accomplish that task.__

**Principia**Einstein's work took Maxwell's work as one of its primary inspirations, and Special Relativity Theory can be grasped as a

**direct***of Maxwell's work -- which had already*

**extension***the speed of light via the Maxwell equations for the universal electromagnetic field -- to align Maxwell's theory with the later discoveries of the*

**derived***, and of light-speed's role as the <<*

**constancy of light speed****>> upper bound of the**

*de facto**"*for "ordinary matter" [tardyonic, "epsilonic meta-phase" matter, per

**speed limit**"**F**.

**.**

__E__**.].**

__D__

__Stage__

__2__**.**

**..**

**t**

**...**=

**...**

**2**

**...**

**==>**

**...**

__>-|-<__**t**

**........**

**=**

**........**

__>-|-<__**2**

**........**

**=**

**........**

**<**

__N__>^(2^2)**........**

**=**

**........**

__N__**..**

**+**

**..**

__S__**..**

**+**

**..**

__G__**..**

**+**

**..**

__delta_____S__**........**

__=__**........**

__N__**..**

**+**

**..**

__S__**..**

**+**

**..**

__G__**..**

**+**

**..**

__q__/SS**........**

__=__**........**

__N__**..**

**+**

**..**

__S__**..**

**+**

**..**

__G__**..**

**+**

**..**

__Q__-- wherein --

__q__**/**

**S**

**N**

**........**

__=__**........**

**;**

__G__*eneral Relativity*Theory

__G__**...**

**[--->**

**...**

**;**

__q__/3

__delta___

__S__**........**

__=__**........**

__q__/SS**........**

__=__**........**

**;**

__Quantum Theory__

__Q__**...**

**[--->**

**...**

**.**

__q__/4

__q__**/**

**S**

**N**

**........**

__=__**........**

**-- Here's how Bais narrates the emergence of**

__G__**General Relativity Theory**, on p.

**94**: "...the Special Theory [of Relativity -- M.D.] was still in conflict with the Newtonian theory of gravity, a conflict that was eventually resolved by the General Theory of Relativity, where gravity was identified with the curvature of space-time."

Thus, we identify the term

__q__**/**

**S**

**N**, connoting the

*"*

*reconciliation**"*,

*"*

*synthesis**"*, or

*"*

*complex unity**"*, or the

*"*

*real*

*subsumption**"*of

**Newtonian-Dynamics theory**of/with/by

**Special Relativity theory**.

**Special Relativity theory**'

**s**model, that of "

**The Electrodynamics of Moving Bodies**" [title of Einstein's original,

**1905**paper thereupon], does not encompass the phenomena of bodies moving with

**velocities -- in particular, it does not encompass the phenomena of bodies moving with**

__changing__**velocities -- including those aspects thereof which Newtonian theory predicts well.**

__accelerating__The "Principle of Equivalence" of Einstein's "

**General Theory of Relativity**" identifies accelerated motion with "gravitational force", modelled as "curvature of space-time", and supersedes

**Newtonian Dynamics**by better reproducing the data of the actually experienced phenomena associated with "both" accelerated motion of bodies, and so-called "gravitational force".

__delta___

__S__**........**

__=__**........**

__q__**/**

**SS**

**........**

__=__**........**

**-- Here's how Bais narrates the emergence of**

__Q__**Quantum Theory**, again on p.

**94**: "Subsequently, we went through the quantum revolution linked to Planck's constant,

*which adds yet another*to our conceptual framework, perpendicular to the space-time-gravity plane." [

__dimension__*emphasis*

__by M.D.].__

*added*Thus, we identify the term

__q__**/**

**SS**, connoting the

__self__*-*of

**critique****pecial Relativity Theory, as the [revised] theory of "**

__S__**The Electrodynamics of**

__Micro__*-*

__Physical__**Moving Bodies**", with

**, connoting**

__Q__**uantum theory.**

__Q__

__Stage__**.**

__3__**..**

**t**

**..**=

**..**

**3**

**...**

**==>**

**...**

__>-|-<__**t**

**........**

**=**

**........**

__>-|-<__**3**

**........**

**=**

**........**

**<**

__N__>^(2^3)**........**

**=**

**........**

__N__**..**

**+**

**..**

__S__**..**

**+**

**..**

__G__**..**

**+**

**..**

__Q__**..**

**+**

**..**

__q__/QN**..**

**+**

**..**

__q__/QS**..**

**+**

**..**

__q__/QG**..**

**+**

**..**

__delta_____Q__**........**

__=__**........**

__N__**..**

**+**

**..**

__S__**..**

**+**

**..**

__G__**..**

**+**

**..**

__Q__**..**

**+**

**..**

__q__/QN**..**

**+**

**..**

__q__/QS**..**

**+**

**..**

__q__/QG**..**

**+**

**..**

__F__-- wherein --

__q__**/**

**Q**

**N**

**........**

__=__**........**

__Macro____-__;

**Physical***Non**-***Relativistic Q***uantum*Theory

__q__**/**

**Q**

**N**

**...**

**[--->**

**...**

**;**

__q__/5

__q__**/**

**Q**

**S**

**...**

__=__**...**

*"*

__The Standard Model__*"*;

__q__**/**

**Q**

**S**

**...**

**[--->**

**...**

**;**

__q__/6

__q__**/**

**Q**

**G**

**........**

__=__**........**

*"*

__Quantum Gravities__

__",__

__including__

__"__

__String Theory__*;*

__"__

__q__**/**

**Q**

**G**

**...**

**[--->**

**...**

**;**

__q__/7

__delta___

__Q__**........**

__=__**........**

__q__/QQ**........**

__=__**...**

__Non____linear F__*ield*s Theory**........**

__=__**........**

**;**

__F__

__F__**...**

**[--->**

**...**

**.**

__q__/8

__q__**/**

**Q**

**N**-- Here's how Bais narrates the category of what we term

__Macro____-__-- the

**Physical***Non**-***Relativistic Q***uantum*Theory*"*,

**reconciliation**"*"*,

**dialectical synthesis**"*"*, or

**complex unity**"*"*, of

**hybridization**"**Quantum Theory**and

**Newtonian Dynamics Theory**, or the

*"*of

**real subsumption**"**by**

__N__**-- a**

__Q__**physical theory per his model, which he seems to hold would be useless, would not be worth developing, and which, he also seems to hold, has not ever been**

__possible__**, also on p.**

__actualized__**94**: "The upper right hand corner in the back would refer to a non-relativistic treatment of the gravitational force. This point lies not in the physically interesting domain of parameter space. For example it would represent the quantum mechanical treatment of the moon-earth or the planetary system. The parameters would be such that the result would not differ by any ever-observable effect from the classical Newtonian result."

__q__**/**

**Q**

**S**-- Here's how Bais narrates the theory-category of "

**The Standard Model**[

**of**[

**] "**

*micro*-physical**particle**"

**physics**]" -- the

*"*,

**reconciliation**"*"*,

**dialectical synthesis**"*"*, or

**complex unity**"*"*, of

**hybridization**"**Quantum Theory**and

**Special Relativity Theory**, or the

*"*of

**real subsumption**"**by**

__S__**-- again on p.**

__Q__**94**: "We then had to face the fact that now ordinary quantum theory and special relativity didn't like each other. This conflict was resolved by the development of quantum field theories like quantum chromodynamics and electro-weak theory. So in the front left top corner we basically see the Standard Model."

__q__**/**

**Q**

**G**-- Here's how Bais narrates the theory-category of a "

**Quantum Gravity**"

**Theory**-- the

*"*,

**reconciliation**"*"*,

**dialectical synthesis**"*"*, or

**complex unity**"*"*, of

**hybridization**"**Quantum Theory**and

**General Relativity Theory**, or the

*"*of

**real subsumption**"**by**

__G__**-- on pp.**

__Q__**94**-

**95**: "...the conflict between our quantum theories of matter and Einstein's geometric theory of space-time and gravity on the other. This conflict is basically in the domain of nature parameterized by the Planck scales, and therefore impossible to probe directly by experiment. One may hope that string theory will ultimately be able to resolve this conflict hiding so deeply under the surface of everyday experience; string theory as a quantum theory of space-time."

__delta___

__Q__**........**

__=__**........**

__q__**/**

**........**

__=__**........**

**-- This theory-category is**

__F__**part of Bais's model.**

__not__It connotes the

*self**-*of the

**critique****Quantum Theory**, a category which is virtually <<

**>> in orthodox physics today, but which was advanced, despite that unwritten prohibition, by no less than Albert Einstein, and by no less than Louis de Broglie, e.g., in his book**

*verboten**"*and which is intimated by the latter discovery of "particle"-like, exact, closed-form, solitary wave"/"soliton" solutions to weakly-nonlinear versions of the Schroedinger wave-equation, such as the cubic Schroedinger equation of laser/nonlinear optics, as well as by the discovery of "particle"-like, exact, closed-form, solitary wave"/"soliton" solutions to a vast array of other weakly-nonlinear partial-differential "evolution equations".

**",**__Nonlinear Wave Mechanics__**F**.

**.**

__E__**. interprets this term as predicting the emergence of a**

__D__**universal nonlinear equation, whose solutions are not, as with the Schroedinger equation of classical quantum theory, space/time functions of a**

__nonlinear__unitary field theory

__random__**, but which are, instead, space/time functions of a**

*variable***,**

__deterministic__

__causal__**, but involving**

*variable**"*[

**spatio**-**temporal***-*]

**ized***, and which will account for the statistical/probability distributions projected onto the data of micro-physical "particle" dynamics as a result of*

**strange attractors**"

__cumulative__*"*

**causal****entanglements**".

In

**F**.

**.**

__E__**.'s view, this**

__D__*-*

**nonlinear unitary field theory equation***would describe a spatio-temporal "meta-fractal", with a physical-spatial-size-scaled self-similarity regress of*

**model***, vibratory*

**nonlinear***"*of waves of waves of...", or of

**waves**

**nonlinear***"*within waves within waves within...", i.e., of

**waves***<<*

**nonlinear wave***>> and of*

**monads**

**nonlinear wave***"*<<

**self**-**meta**-*>>*

**monad***-*, with 'wave-icles', or 'wavicles', made up out of

**ization**"*sub-*"wave-icles", made of "

*sub-sub-*wave-icles" on "down" to some finite extent.

For more detail on this view, see the following

**F**.

**.**

__E__**. text, an excerpt from their book**

__D__*"*, and see especially footnote

**"**__Dialectical Ideography__**7**, pp.

**vii**. through

**x**.--

http://www.dialectics.org/dialectics/Dialectic_Ideography_files/2_Dialectics-Part%20Ia_version2.pdf

http://www.dialectics.org/dialectics/Welcome.html

http://www.dialectics.org/dialectics/Dialectic_Ideography.html

So,

*in toto*, our

**N**

__Q__

__dialectical__*"*of the

**meta**-**model**"*"*of the theories of modern physics, starting with/from

**meta**-**evolution**"**Newtonian theory**as <<

**>>-theory category, is the following --**

*arche'*

__>-|-<__**3**

**........**

**=**

**........**

**<**

__N__>^(2^3)**........**

**=**

**........**

**..**

__N__**+**

**..**

__S__..+**..**

__G__**..**

**+**

**..**

__Q__**..**

**+**

**..**

__q__/QN**..**

**+**

**..**

__q__/QS**..**

**+**

**..**

__q__/QG**..**

**+**

**..**

__F__-- a

*"*which can be "pictorialized" as below.

**meta**-**model**"Regards,

Miguel

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