__Full Title__--

**Part**

**2**

**of**

**2**.

‘

**Mus****èan****Convolute****Hypernumber Qualifiers**’**and**‘‘‘**Dark Matter**’’’**/**‘‘‘**Dark Energy**’’’.
Dear Readers,

**.**

__Preface to Part 2____. This blog-entry is the second part of a series of blog-entries that began last year --__

**Background**http://feddialectics-miguel.blogspot.com/2013/10/part-1-of-2-hypernumbers-and-dark.html

The predicted next phases of

**-- of the ‘self-meta-evolution’ of the cosmos in general, and of its human[oid]-social species in particular, as predicted by the**

*the*__dialectic__of Nature**F**.

**.**

__E__**. ‘Dialectical Theory of Everything Meta-Equation’ itself, and by the**

__D__**F**.

**.**

__E__**. ‘Psychohistorical-Dialectical Meta-Equations’, which zoom-in on the human-social and ‘meta-human’ components of that master ‘meta-equation’ -- all seem to presuppose the development of**

__D__**capability in the coming years, among many other conditions and developments that their fruition requires, if the possibilities that these predictions identify are to be actualized.**

*superluminal interstellar drive*
In late September of

**2011**, this blog, and various internet forum threads, featured a series of posts about an old**F**.**.**__E__**. hypothesis, addressing a potential pathway to a superluminal interstellar drive --**__D__The purpose of the present post is

**to recapitulate the specifics of that old hypothesis as to a possible physical mechanism that might be harnessed to engineer an interstellar drive, since that hypothesis has already been addressed in those earlier blog-entries.**

__not__
Rather, it is to share with
you a related new hypothesis that has emerged within the current work of the

**Foundation**research collective, regarding a potential solution to the two greatest mysteries of contemporary cosmology, and of contemporary cosmological physics.
Many contemporary mainstream

**physicists are, in our observation, experiencing a deep sense of bankruptcy, of late, as a result of recent superb and precision work by the community of***theoretical***and***experimental***physicists.***observational*
In particular, recent
observational work by astronomers, cosmologists, and other ‘‘‘observational
physicists’’’ has revealed that only

**~****4.9%**of the mass-energy of the known cosmos is encompassed by the “**Visible Matter**” upon which “standard model” physical theorizing, to date, has been focused almost exclusively.
The majority of that known cosmological
mass-energy --

**~****95%**-- is in the form of “**Invisible**”**Matter**-**Energy**: an estimated**~****26**.**8%**taking the form of “**Dark Matter**”, and another**~****68**.**3%**taking the form of “**Dark Energy**”.
Much of the mainstream
theoretical physics community admits that it presently “hasn’t a clue” as to
the nature of these majority constituents of Nature.

Others have proliferated a veritable “Tower of Babel” of new, mostly

*“ad hoc”*theories, or, really, of theory-fragments, or

*‘*, isolated or scrambled in relation to the rest of physics, in attempting to explain these still-mysterious ‘majority phenomena’.

**theoretessimals**’
Lacking scientific
explanations for the vast majority of the contents of the cosmos constitutes a
kind of “scientific insolvency” for modern theoretical physics.

This text is a summary record of a “thought-experiment” currently being explored by the

**Foundation**research collective.

The question that this “thought-experiment” addresses is this --

*¿**What explanation of the nature of this*

*‘majority of Nature’ might emerge if the alternative, “hypernumber”, ‘*

*,*

**’**__ifier____qual__*[*

__meta__*-*]

*finitary solution to the*

**v**

**=**

**c**

**singularity**of the Einstein Special*-Relativistic Momentum Equation is “*

**”, i.e., if it has**__physical____empirical__**, rather than it being merely an ‘**__counterparts__**physical’, ‘**__a__**empirical’, “**__an__**” solution**__extraneous__**?**
This question turns out to be
related to another question:

*¿**What would result if we required that the values of the square-roots involved in the evaluation of the Einstein Special**-Relativistic Momentum Equation, alike, for both*[__sub__luminal and ‘‘‘luminal’’’ velocities, be ‘‘‘**square roots’’’**__proper__*which are*]**hypernumber**-**valued***, as opposed to ‘‘‘*[which are “__proper square-roots’’’__**im****eal-valued”]**__R__*, but required if and only if these***hypernumber**,*‘‘‘***square root’’’**__proper__*values turn out to be “*__physical__*”***?****Part 2**. of this inquiry is set forth in the

**section below.**

__HYPOTHESIS__Regards,

Miguel

__. We have already noted that the__

**HYPOTHESIS***“*embodied and encoded in the

**”**__dialectical__theory of everything**F**.

**.**

*E***.**

*D**‘*, falls short of covering and addressing

__Dialectic__**of Nature****Meta**-**Models**’*“*as presently known to Terran humanity -- all known ontological categories -- in that it does not explicitly address the

**everything**”*still largely*entities presently referenced as “Dark Energy” and “Dark Matter”.

**known**__un__**Foundation**researchers are also at work on a still highly speculative hypothesis, one that, if not falsified by empirical data, could ground a new standard version of our

*‘*.

__Dialectic__**of Nature****Meta**-**Model**’This hypothesis in effect

*‘*lumps’ the

**-**__de__

_{ALL}**as «**

__n__**»**

*arché***, by seeking a category for a**

*category*deeper, earlier-irrupted physical ontology, explicitly addressing

*“*, denoted

**Dark Energy**”

_{ALL}

__x__as the new «

**», plus a new, next-irrupted physical ontology, described algebraically as**

*arché*

_{ }

_{ALL}

__q__**, basing an also pre-**

_{xx}

_{ALL}**,**

__n__

*first*

__meta__*-*«

**»**

*physis***, explicitly addressing**

*category*

__non__*-*

**baryonic***“*,

**Dark Matter**”

_{ALL}**, i.e., the vast majority, by mass, of all**

__c__*“*.

**Dark Matter**”This hypothesis thus amends our

*‘*to the following for its epoch

__Dialectic__**of Nature****Meta**-**Model meta**-**equation**’**2**equation [with ‘

**|-.=**’ serving as ‘the solution-assertion equality sign’] --

_{ALL}

__>-|-<__

_{2}**= <**

_{ALL}

__x__**>**

^{22}=**<**

_{ALL}

__x__**>**

^{4}=**<**

_{ALL}

__x__

^{2}**>**

^{2}=**<**

_{ALL}

__x__

^{2}**>**

**x <**

_{ALL}

__x__

^{2}**> =**

**<**

_{ALL}

__x__**+**

_{ALL}

__q__

_{xx}**>**

**x <**

_{ALL}

__x__**+**

_{ALL}

__q__

_{xx}**> =**

**<**

_{ALL}

__x__**+**

_{ALL}

__c__**>**

**x <**

_{ALL}

__x__**+**

_{ALL}

__c__**> =**

_{ALL}

__x__**+**

_{ALL}

__c__**+**

_{ALL}

__q__

_{c}

_{x}**+**

_{ALL}

__q__

_{cc}**|-.=**

_{ALL}

__x__**+**

_{ALL}

__c__**+**

_{ALL}

__q__

_{c}

_{x}**+**

_{ALL}

__n__-- with

_{ALL}

__q__

_{c}**representing the category of the interactions between**

_{x}

__non__*-*

**baryonic**“

**Dark Matter**” and “

**Dark Energy**”, and such that

_{ALL}**, the present**

__n__**, «**

*first***»**

*arché*

*category*of our present standard

*‘*, now arises, instead, in this new,

__Dialectic__**of Nature****Meta**-**Model**’candidate ‘meta-model’, as the

**, or**

*fourth*

*second**‘*«

**meta**-**»’**

*physis***, namely, as --**

*category*

_{ALL}

__q__

_{xx}_{[}

_{xx}_{]}

**|-.=**

_{ALL}

__q__

_{cc}**|-.=**

_{ALL}**.**

__n__This means that,

**the**

__if__**ric primary interpretation of these solutions for the meanings of the**

*gene*terms/category-descriptions

_{ALL}

__q__**, and**

_{xx}

_{ALL}

__q__**, as expressed in the ‘solution**

_{cc}sub-equations’

_{ALL}

__q__

_{xx}_{ }

**|-.=**

_{ALL}**, and**

__c__

_{ALL}

__q__

_{cc}_{ }

**|-.=**

_{ALL}**, holds in the**

__n__**fic case of the ‘taxonomy level**

*speci***1**’,

*“*

**everything**”**[**

*universe**-*], for the

**of**-**discourse**

_{ }**«**

_{ALL}__c__**» and the**

*monads*

_{ALL}**«**

__n__**» of this new candidate**

*monads*

*universal*‘meta-model’ -- as it does, they have found, for so many other domains, which are

sub-domains of this ‘

**’ domain, and as it also holds for all of the other,**

_{ALL}later-arising ‘self-hybrid’ categories of, e.g., the

**<**

_{ALL}

__r__**>**

^{2t}

^{ALL}‘meta-model’ version --

**we have two entailed sub-hypotheses regarding the**

__then__

__composition__of the

_{ALL}

__c__

__non__*-*“

**baryonic****Dark Matter**” «

**», and of the**

*monads*

_{ALL}**--**

__n__

__no__*-*

**-**__longer__*“*“

**”**__elementary__**standard elementary particles**” «

**».**

*monads*They are that the «

**» of the**

*monads*

__non__*-*“

**baryonic****Dark Matter**”

_{ALL}

__c__

«

**»/**

*arithmos***are**

*category**‘*«

**meta**-**»’ of the «**

*monads***» of the**

*monads*“

**Dark Energy**”

_{ALL}**«**

__x__**»/**

*arithmos***.**

*category*And that «

**» of the “**

*monads***Ordinary Matter**”

_{ALL}**«**

__n__**»/**

*arithmos***are**

*category*

*‘*«

**meta**-**»’of the «**

*monads***» of the**

*monads*

__non__*-*“

**baryonic****Dark Matter**”

_{ALL}

__c__«

**»/**

*arithmos***, and are therefore also describable as**

*category**‘*«

**meta**-**meta**-**»’**

*monads*of the «

**» of the “**

*monads***Dark Energy**”

_{ALL}**«**

__x__**»/**

*arithmos***.**

*category*That is, the two entailed sub-hypotheses hold that

**(1)**the

**0 < v**capable ‘

__<__c**’**

__c__ontracton«

**» of the**

*monads*

__non__*-*“

**baryonic****Dark Matter**”

_{ALL}**«**

__c__**»/**

*arithmos***are**

*category**in some sense*

**the ‘‘‘**

*made of***tachyonic**’’’,

**v**capable ‘

__>__c**e**

**’ «**

__x__pandon**» of the “**

*monads***Dark Energy**”

_{ }

_{ALL}**«**

__x__**»/**

*arithmos***, and**

*category***(2)**the “

**tardyons**” of the “

**Ordinary Matter**”

_{ }

_{ALL}**«**

__n__**»/**

*arithmos***are**

*category**in some sense*

**the light-speed-capable**

*made of*‘

**’ of the**

__c__ontractons

__non__*-*“

**baryonic****Dark Matter**”

_{ALL}**«**

__c__**»/**

*arithmos***.**

*category*This also means that, in this ‘deeper «

**»’ version of the**

*arché**‘*,

__Dialectic__**of Nature****Meta**-**Model**’

**, we will still, as in the present standard ‘meta-model’, have**

*if it works out empirically*

*composite*

__sub-atomic__*, such as*

__“__**particles**”**,**

__protons__

_{ALL}**, arising as**

__s__

_{ALL}

__q__**, and**

_{nn}**,**

__atoms__

_{ ALL}**, arising as**

__a__

_{ALL}

__q__**, and**

_{ss}**,**

__molecules__

_{ALL}**, arising as**

__m__

_{ALL}

__q__**, and**

_{aa}

__pre____-__,

**eukaryotic living cells**

_{ALL}**, arising as**

__p__

_{ALL}

__q__**, and so on, as before.**

_{mm}But, in addition, our ‘meta-model’ will be enriched with additional terms/category-descriptions,

relative to our current ‘standard meta-model’, covering the possible interactions among “

**Dark**

**Energy**”,

_{ALL}**,**

__x__

__non__*-*“

**baryonic****Dark Matter**”,

_{ALL}**, and “**

__c__**Ordinary**,

**Visible Matter**”

categories, starting from

_{ALL}**, denoting the category of the “**

__n__**standard elementary particles**”,

and onward from there.

For example, for epoch

**3**, the new candidate ‘meta-equation’ yields the equation --

_{ALL}

__>-|-<__

_{3}**= <**

_{ALL}

__x__**>**

^{23}=**<**

_{ALL}

__x__**>**

^{8}=

_{ALL}

__x__**+**

_{ALL}

__c__**+**

_{ALL}

__q__

_{c}

_{x}**+**

_{ALL}

__n__**+**

_{ALL}

__q__

_{n}

_{x}**+**

_{ALL}

__q__

_{n}

_{c}**+**

_{ALL}

__q__

_{n}

_{c}

_{x}**+**

_{ }

_{ALL}

__s__-- including

**3**additional categories/terms --

_{ }

_{ALL}

__q__

_{n}**,**

_{x}

_{ALL}

__q__

_{n}**, and**

_{c}

_{ALL}

__q__

_{n}

_{c}**--**

_{x}inserted, with respect to our present standard ‘meta-model’,

*in-between*

_{ALL}**and**

__n__

_{ ALL}**, and**

__s__addressing, respectively, the possible interaction-products of “

**standard elementary particle**”

«

**» with**

*monads***(1)**“

**Dark Energy**” «

**», with**

*monads***(2)**

__non__*-*“

**baryonic****Dark Matter**”

«

**», and with**

*monads***(3)**possible

*“*«

**hybrid**”

*m*

*o*

*n*

*a*

*d***»,**

*s*

_{ALL}

__q__

_{c}**, the**

_{x}*“*products

**hybrid**”of the interaction of

__non__*-*“

**baryonic****Dark Matter**” «

**» with “**

*monads***Dark Energy**” «

**».**

*monads*This new research hypothesis seeks to

**the entire**

__anchor__*‘*

__Dialectic__**of Nature***,*

**Meta***-***Model**’in what, per this hypothesis, represents the primary

*‘*, or

**intra**-**duality**’*‘*, of our

**-**__self__**duality**’**-- in the older language of dialectics, the primary**

*cosmos***,**

*internal***, or**

*immanent*

**dialectical**

__self__*-“*[ a relationship that we signify via the relation-sign ‘

**contradiction**”**#**’] of this

*cosmos*as

**, as expressed this meta-model’s first pair of terms, its first “antithesis sum” --**

*totality*

_{ALL}

__>-|-<__

_{1}**= <**

_{ALL}

__x__**>**

^{21}=**<**

_{ALL}

__x__**>**

^{2}=

**<**

_{ALL}

__x__

^{1}**>**

**x <**

_{ALL}

__x__

^{1}**> =**

_{ALL}

__x__**+**

_{ALL}

__q__

_{xx}**|-.=**

_{ALL}

__x__**+**

_{ALL}**.**

__c__The “first antithesis” expressed by the ‘oppositional sum’ of the first two terms of this tentative new version of the

*‘*might be formulated as --

__Dialectic__**of Nature****Meta**-**Model**’

*‘*

**Dark**__Energy__**#**

__non__

*-*

*Dark***baryonic**__Matter__*’*.

However, the

**Foundation**researchers prefer to formulate that

*“*in terms of the mutually opposing cosmological tendencies of

**first antithesis**”*--*

*‘*

**Dark**-__Anti__**Gravity****#**

__non__

*-*

**baryonic**

*Dark*__Gravity__*’*

-- or --

*‘*

**-**__Un__known**Source**-__Anti__**Gravity****#**

__Un__known*-*

**Source****Dark**’__Gravity__-- or, better still, in terms of the mutually counter-acting tendencies of --

*‘*

**space**-**time**-__pro__**e**

__x__*pansivity***.**

*vs*

*spa*__c__*e**-*.

**time**-__anti__**expansivity**’-- or --

*‘*

**space**-**time e**

__x__*pansivity***.**

*vs*

*space**-*

**time**

__c__*ontractivity**’*.

They see the

or

it appropriate to choose

“

*‘***space**-**time e**__x__*pansivity**’**“*, or**side**”*‘‘‘*, of this**dual**’’’__dialectical__**,***internal duality*or

*‘*, of the**-**__self__**duality**’*whole***, as manifesting***cosmos*__in the history of our__**first****, making***cosmos*it appropriate to choose

_{ALL}**as the new, candidate «**__x__**»***arché***of our sought new,***category*“

**Dark Energy**”/__non__*-***baryonic***“***Dark Matter**” comprehending, deeper-«**»***arché**‘*.__Dialectic__**of Nature****Meta**-**Model**’They also see the cosmological-e

**pansive**

__x__

_{ALL}**“**

__x__**Dark Energy**” ‘

**anti**-

**gravitic**’ ‘‘‘force’’’ as manifesting in three major manners, so far, in the history of our

**, to present human**

*cosmos*knowledge --

**as the initial “**

*(1)***Big Bang**” e

**pansion;**

__x__**(2)**as the theorized early post-“

**Big Bang**” episode of

__faster__*-than-light-speed*

*“*e

**cosmological inflation**”**pansion of**

__x__*the ‘space-time-mass-energy’ of the total*

**, and;**

*cosmos***(3)**as the currently-observed,

__slower__*-than-light-speed*

**in the rate of e**

__acceleration__**pansion of the “space-time” of our**

__x__**.**

*cosmos*They see the cosmological-

**ontractive**

__c__

_{ALL}

__c__

__non__

*-***“**

**baryonic****Dark Matter**” ‘‘‘

**gravitic**’’’

force as manifesting, so far in the history of our

**, to present human knowledge, in the**

*cosmos*cosmological formation of -- galactic ‘super

**-clusters’: super**

^{w}**-clusters or**

^{2}“super-super-clusters”, super

**-clusters, “mere” [super**

^{1}**-]clusters, and galaxies**

^{0}themselves -- also enabling the formation of stars and of stellar-systems, including of

stellar/planetary systems, etc., within galaxies.

They see the

__faster__*-than-light-speed*e

**pansion-capability of the**

__x__

_{ALL}**“**

__x__**Dark Energy**” ‘‘‘force’’’

as a possible key clue to the classification and identification of that ” ‘

**anti**-

**gravitic**’ ‘‘‘force’’’, as

well as to the classification and identification of cosmologically-

**ontractive**

__c__

_{ALL}

__c__*baryonic*

**-**__non__“

**Dark Matter**”.

That super-luminal capability suggests to us that a form of ‘‘‘

**materiality**’’’ that is capable of

__faster__*-than-light-speed*celerity will also be an extremely “ghostly” -- or “subtle” and “intangible” -- form of ‘‘‘

**materiality**’’’, one that will lack almost all of the basic interaction capabilities and behaviors associated with “

**Ordinary Matter**”,

_{ALL}**and beyond [ ‘**

__n__

_{ALL}

__n__**+**’ ].

That is, such a ‘‘‘

**materiality**’’’ will lack

**electromagnetic**interaction capability, making it “

**Dark**”, as well as lacking capability for the “

**strong**” and the “

**weak**” interactions, retaining

**the ‘‘‘**

__only__**gravitic**’’’ ‘interactivity’, in the form of an

*‘*

**-**__anti__**graviticity**’.

These observations further suggests to them that the ‘‘‘

**materiality**’’’ of cosmologically-

**ontractive**

__c__

_{ }

_{ALL}

__c__

__non__

*-***“**

**baryonic****Dark Matter**” will be less “ghostly”, less “subtle” and “intangible”,

relative to the ‘‘‘

**materiality**’’’ of

_{ALL}**“**

__x__**Dark Energy**”, but still very “ghostly”,

or “subtle” / “intangible” relative to the

**‘‘‘**

__tangible__**’’’ of ‘**

__materiality__

_{ALL}

__n__**+**’

“

**Ordinary Matter**”.

In particular, they suspect that the «

**» of**

*monads*

_{ALL}

__c__

__non__

*-***“**

**baryonic****Dark Matter**” are --

__the__

**like***ic ‘‘‘*

**photon****materiality**’’’

*****-- capable of traveling

__light speed,__

**at****c**,

*but no greater*[thus distinguishing it from

_{ALL}**“**

__x__**Dark Energy**”], and,

**like**

__un__**0**rest mass

**photon**«

**», have**

*monads***> 0**rest mass, and are thus capable of traveling at speeds

*less than***c**as well,

__like the__

**un***ic “*

**photon****luxons**”, which are observed traveling

**only**at light speed, and

__at speeds either__

**never***or*

__greater____than__*the speed of light.*

__less____than__

*****[For this reason, they group

**photons**-- those ‘

**luxonic bosons**’ -- together with

‘

**’, as two**

__c__ontractons**-«**

*species***» of a common «**

*arithmoi***»-«**

*genos***», which**

*arithmos*they sometimes call ‘

**alacritons**’, signifying the «

**»-«**

*genos***» of all**

*arithmos*

**light**-

**speed***-**«*

**capable****»].**

*monads*As a consequence of these

*, they further understand that the*

__celerity__characteristics**> 0**rest

mass «

**» of**

*monads*

_{ALL}

__c__

__non__

*-***“**

**baryonic****Dark Matter**” will lack

**electromagnetic**interaction

capability, and hold that those «

**» will also lack capability for the “**

*monads***strong**” interaction,

retaining only the “

**weak**” interaction, and the ‘‘‘

**gravitic**’’’ interaction, similar to the

**0**rest

mass

**photon**«

**», which are the ‘‘‘bosonic’’’**

*monads*__of the__

**carriers****electromagnetic**

interaction, but which lack capability for the “

**strong**”

**the “**

__and__**weak**” interactions,

but which also retain ‘‘‘

**gravitic**’’’ ‘interactivity’.

**Conjecture**--

*‘*

**’****Epsilonicity****of**“

**Ordinary Matter**”;

*‘*

*of “*

**’****Hybridicity****Dark Matter**”;

*‘*of “

**Ioticity**’**Dark Energy**”.

These hypotheses enable us to use the Einstein special-relativistic momentum equation

as a possible classification/identification mechanism for

_{ALL}**“**

__x__**Dark Energy**”,

_{ }

_{ALL}

__c__

__non__

*-***“**

**baryonic****Dark Matter**”, and ‘

_{ALL}

__n__**+**’ “

**Ordinary Matter**”

relative to one-another.

Newtonian momentum [

**p**] of a body of mass-energy is the product of the

**elocity [**

__v__**] and the inertial**

__v__**ass [**

__m__**m**] of that body:

**p = mv**.

Einstein’s Special Theory of Relativity applies a correction factor,

**1/( 1 - (v**,

^{2}/c^{2}) )^{1/2}to

**mv**, in order to track the way in which the mass of such a body increases at increased

velocities --

**p = mv/( 1 - (v**.

^{2}/c^{2}) )^{1/2}This latter equation exhibits a “

**singularity**” -- a

*division by the square**-*[

**root**

*or half**-*]

**power**

**-- should**

*of zero***v = c**--

**p = mc/( 1 - (c**

^{2}/c^{2}) )^{1/2}= mc/(1 - 1)^{1/2}=**mc/(0)**“

^{1/2}**=**”

**mc/0**“

**=**”

**“**

**oo**”.

**is often evaluated as the**

*Division by zero**‘‘‘*physical’’’ value “

__un__**infinity**”, or as signifying an

*“*determinate” state, or an

__in__*“*defined” value.

__un__The value

**x/0**for any number/value

**x**in the ‘“

**eal”’ number set,**

__R__**R**, is

**a ‘“**

__not__**eal”’ number value; it is a value that breaks out of the “closure” of the ‘“**

__R__**eal”’ numbers.**

__R__The Einstein momentum equation’s escalation, in finite time, “to[ward]” an unboundedly-high magnitude as

**v**

**--->**

**c**, is empirically fit, as a tendency, given the measured pattern of escalation of the mass of a body of “ordinary” mass-energy as its velocity,

**v**, approaches

**c**.

However, in the actual universe, the

**elocity of any “ordinary” body accelerated toward**

__v__**v = c**would stop well short of

**v = c**, and, hence, well short of its momentum reaching

**mc/(0)**,

^{1/2}at some sub-luminal

**v**, some

**v < c**, and therefore also at some

**value of**

__finite__**p**.

The energy available from the rest of the universe to further accelerate the eventually

ultra-massive “ordinary mass-energy” body -- ultra-massive due to its ultra-high but still

sub-light velocity -- would run out, and the escalating mass of the ultra-high-velocity

“ordinary mass-energy” body would anyway make it ever-more-difficult to accelerate

further, and would also begin to pull-in the rest of the “ordinary matter” universe, at least,

due to this “ordinary” body’s ultra-high gravitational mass.

It would become a [

**universal**

*¿***] “black hole” well short of reaching a velocity of**

*?***v = c**.

As a result, physicists often say that it is

__PHYSICALLY__**for anything “material” or “substantial” -- i.e., that is more “substantial” than the somewhat “ghostly” photons -- to**

__impossible__reach light speed, let alone to travel at a speed

__faster__*-than-light-speed*.

Indeed, this statement may be correct for “

**Ordinary Matter**”, for which the Einstein equation --

**p = mv/( 1 - (v**

^{2}/c^{2}) )^{1/2}-- describes a “speed-of-light

__barrier__*”*, one that, perhaps, “

**Ordinary**”, “

**Visible**”, “

**Bright**”,

**“**

**Electromagnetically**-

**Reactive Matter**” can never breach, at least not by ‘velocitarian’ means.

However, it is

**not****for**

__MATHEMATICALLY____impossible__**v**to equal, or even to exceed,

**c**, in the Einstein special-relativistic momentum equation, and yet to still yield

**,**

__finite__**,**

__determinate____values, values just as__

**defined***“*as “

**real**”**R**eal” number values, but values which also transcend the space of the “

**R**eal” numbers.

To see this involves recalling a mathematical notion of
“propriety”.

The result of a mathematical operation upon a mathematical value
is not a “proper” result if the result is the same value, again, as the value
that was so operated upon, unchanged.

For example, the “subsets” function, operating upon a given
set, includes that set itself in its result.
The given set is among its own subsets, is a subset of itself. But that set is not a “proper” subset of
itself. A given set is only an

*“*proper” subset**im***.***of itself**
Similarly we hold, with Musès, that

**1**is not the “proper” square root of**1**;**1**is, instead, the “improper” square root of**1**itself, and that**0**is not a “proper” square root of**0**;**0**is, instead, the “improper” square root of**0**itself.Let us, then, re-calculate Einstein special-relativistic momentum for the

**v < c**, for the

**v = c**, and for the

**v > c**ranges, using only “proper” values for the square roots involved therein.

Ever since the European Renaissance, humanity has been working with square roots of

“negative” numbers, which involve the so-called “

**maginary” number, the unit**

__i__**i**, such that,

**i = +(-1)**, or

^{1/2}**i**-- although this unit is no more “imaginary” than the “

^{2}= -1**eal”**

__R__unit

**1**, and is also, equally, no less “real” -- and is the positive “proper” square root of

**unity,**

__negative__**-1**.

Recall that

“additive inverse”, that is,

thus exhibiting a characteristic which is alien to the realm of the so-called “

**i = iiii**, so that also**1/i = -i**, i.e., the “multiplicative inverse” of**i**equals its“additive inverse”, that is,

**+i**and**-i**both solve the algebraic equation**x**^{-1}**=****-x**,thus exhibiting a characteristic which is alien to the realm of the so-called “

**eals” --**__R__**1/i = iiii/i = iii**~~i~~/~~i~~ = iii/1 = (ii)i/1 = (i.

^{2})i/1 = (-1)i/1 = -iThe unit

**i**is also ‘contra-Boolean’ --

**i**

^{2}does__=__*not***i**-- and is

**itatively,**

__qual__

__not__**itatively,**

__quant__**equal to the “**

__un__**eal” unit, in that**

__R__**i**is

__not__**< 1**,

__and__**i**is

__not__**= 1**,

__and__**i**is

__not__**> 1**.

We will therefore, henceforth, in this blog-entry, notate

**+(-1)**as

^{1/2}__, applying__

**i***our standard*

__underscoring__, for ‘contra-Boolean operators’, to

__too, even though this__

**i**__underscore__-notation is

*“*standard” for “standard”

__-__**non****C**arithmetic, algebra, and analysis.

Thus, the

a

__unit is a mathematical__**i***‘*ifier’,__qual__**a ‘‘‘mathematical**__not__**ifier’’’, although**__quant____is also__**i**a

*‘*__ifiable__**quant***, e.g.,**ifier’*__qual____+__**i****i**__=__**2**__.__**i**
The

the kinds of “

“

__unit, in the form of__**i****1/**, or__i__**-**, potentially__i__*‘*ifies’, or ‘‘‘classifies’’’ and ‘‘‘identifies’’’,__qual__the kinds of “

**materialities**” that can move [e.g., “e**pand”] at speeds**__x____faster__*-than-the-speed-of-light*, e.g., per our hypothesis, the ‘‘‘**materiality**’’’ of_{ALL}__x__“

**Dark Energy**”, as the*of primordial,***driver**__faster__*-than-light-speed*,*“*.**cosmological inflation**”It does so per the following chain of

**[ ‘**

__implications__**==>**’ ] --

**v > c ==> v**

^{2}/c^{2}> 1 ==> 1 - (v^{2}/c^{2}) < 0 ==>**( 1 - (v**

^{2}/c^{2}) )^{1/2 }= ( (-1)( (v^{2}/c^{2}) - 1) )^{1/2 }=**(-1)**

^{1/2}x ( (v^{2}/c^{2}) - 1 )^{1/2}= (__i__)( (v^{2}/c^{2}) - 1 )^{1/2}=

__i__( (v^{2}/c^{2}) - 1 )^{1/2}==>**mv/( 1 - (v**

^{2}/c^{2}) )^{1/2}= mv/(__i__)( (v^{2}/c^{2}) - 1 )^{1/2}=**mv/**

__i__( (v^{2}/c^{2}) - 1 )^{1/2}= -__i__mv/( (v^{2}/c^{2}) - 1 )^{1/2}-- so that

**1/**, or

__i__**-**, is the ‘arithmetical

__i__**ifier’ for the**

__qual__

_{ALL}**“**

__x__**Dark Energy**” “

**materiality**”

when it expands ‘space-time-mass-energy’ at a

__faster__*-than-the-speed-of-light*rate, as it can,

per the

*“*theory, although the

**cosmological inflation**”

_{ALL}**“**

__x__**Dark Energy**” “

**materiality**”

must also be capable of accelerating “space-time” e

__pansion at an accelerating but__

**x**

__slower__*-than-the-speed-of-light*rate, as observed in the present

**.**

*cosmos*They do

__associate the “minus sign” in this ‘__

**not****-**’

__i__**ifier as signifying that the**

__qual__**luminal velocities that it designates must**

*super**, as does the “tachyon theory” -- a hypothesis that they regard as*

**involve travel backward in time***‘*empirical’ [

**-**__contra____scientific], and rather fanciful.__

**un**
They

__consider the “minus sign” in this ‘__**do****-**’__i__**ifier as possibly related to the**__qual__*“*associated with**negative pressure**”*“*.__-__**anti****gravity**”**forces**There is also another “hypernumber unit[y]”, besides

__, or “__

**i**__ota”, which can also be coherently__

**i**constructed, that was perhaps first identified as such by Dr. Charles Musès, and which

he named “

__psilon”, or__

**E****E**.

This value,

**E**, or**+****E**, is the positive “proper” square root of**unity, of**__positive__**+1**-- the unit[y],**E**

**= +(+1)**, or

^{1/2}**E**

^{2}**= +1**, and

**1/**

**E**

**=**

**E**, [

**E**

**is the [“improper”] reciprocal of itself],**

since --

numbers,

**1/****E****=****E****E****/****E****=****E****E**

**/****E**

**=****E****/1 =****E**, that is,**and****+**E**solve the algebraic equation****-**E**x**^{-1}**=****+x**, thus exhibiting a characteristic that is alien to the realm of the so-called “**eal”**__R__numbers,

**+1**and**-1**excepted.
The unit

**E**is also ‘contra-Boolean’ --**E**^{2}**does not =****E**-- and is**itatively,**__qual____not__**itatively,**__quant__**equal to the “**__un__**eal” unit,**__R__**1**, in that**E**is__not__**< 1**,__and__**E**is__not__**= 1**,__and__**E**is__not__**> 1**.We will, therefore, henceforth, in this blog-entry, notate

**+(+1)**as

^{1/2}__, applying our standard__

**E**__underscoring__, for ‘contra-Boolean operators’, to

__too, even though this__

**E**__underscore__-notation was not part of Dr. Musès’s notational conventions.

Thus, the

__unit is a mathematical__

**E***‘*ifier’,

__qual__**a ‘‘‘mathematical**

__not__**ifier’’’, although**

__quant____is also a__

**E***‘*

__ifiable__**quant***, e.g.,*

*ifier’*__qual__

**E****+**

**E****=**

**2**

__.__

**E**
The

that is, the ‘‘‘

“

__unit potentially__**E***‘*ifies’, or ‘‘‘classifies’’’ and ‘‘‘identifies’’’ -- and, in a sense,__qual__*‘‘‘*-- the kinds of “**characterizes**’’’**materialities**” that move__at__**only****less****than***the speed of light*,that is, the ‘‘‘

**materiality**’’’ of ‘_{ALL}__n__**+**’**“****Ordinary**”, “**Visible**”, “**Bright**”,“

**Electromagnetically**-**Reactive Matter**”.
The

__unit can do so per the following chain of__**E****[ ‘**__implications__**==>**’ ] --**v < c ==> v**

^{2}/c^{2}< 1 ==> 1 - (v^{2}/c^{2}) > 0 ==>**( 1 - (v**

^{2}/c^{2}) )^{1/2 }= ( (+1)( 1 - (v^{2}/c^{2})) )^{1/2 }=**(+1)**

^{1/2}x ( 1 - (v^{2}/c^{2}) )^{1/2}= (

**E****)( 1 - (v**

^{2}/c^{2}) )^{1/2}=

**E****( (1 - (v**

^{2}/c^{2}) )^{1/2}==>**mv/( 1 - (v**

^{2}/c^{2}) )^{1/2}= mv/(

**E****)( 1 - (v**

^{2}/c^{2}) )^{1/2}=**mv/**

**E****(1 - (v**

^{2}/c^{2}) )^{1/2}= +

**E**

**mv/( 1 - (v**

^{2}/c^{2}) )^{1/2}
-- so that

**1/**__, or__**E****+**__, is, potentially, an ‘arithmetical__**E****ifier’ for the kinds of “**__qual__**materialities**”that can move

**at**

__only__

__less__**the**

__than__*speed of light*, that is, the ‘‘‘

**materialities**’’’ of ‘

_{ALL}

__n__**+**’

‘“

**Tardyonic**”’, “

**Ordinary**”, “

**Visible**”, “

**Bright**”,

*“*

**-**__Electromagnetically____Reactive__**Matter**”,

*‘*

**photons**-**reactive****Matter**’.

They therefore also call ‘

_{ALL}

__n__**+**’

*‘“*

**”’, “**

__onic__*Tardy***Ordinary**”, “

**Visible**”, “

**Bright**”,

*“*

**-**__Electromagnetically____Reactive__**Matter**”,

*‘*

**photons**-**reactive****Matter**’, by the name --

*‘*.

**’**__epsilon__ic matterThey therefore also call their hypothesized “

**materialities**” that can move [e.g., “e

**pand”] at speeds**

__x__

__faster__*-than-the-speed-of-light*-- e.g., per their hypothesis, the ‘‘‘

**materiality**’’’ of

_{ALL}**“**

__x__**Dark Energy**” --

*‘*.

**’**__iotic__matterNow, given what we have just seen -- that

__, in the [equivalent] form of__

**E****1/**

__, can__

**E****ify and**

__qual__**ify**

*class**‘*, “ordinary”,

**epsilonic**’**luminal ‘“**

__SUB__**bright matter**”’, and that

**, in the [**

__i__

__non__*-*equivalent]

form of

**1/**can potentially

__i__**ify and**

__qual__**ify their hypothesized,**

*class***luminal,**

__SUPER__*‘*

**iotic**’“e

**otic” ‘“**

__x__**dark force matter**”’, one might, “naively”, suspect that,

*in**-*these two, the

**between****of ‘‘‘**

*intervening category***LUMINAL**’’’-

**velocity**-

**,**

__capable__*baryonic “*

__-__**non****Dark Matter**”,

might be

**ified and**

__qual__**ified by a “hypernumber” value that is a mixture, or combination,**

*class*or hybrid of the “hypernumber”values

**1/**

__and__

**E****1/**.

__i__And, indeed, they find that their hypothetical ‘‘‘

**LUMINAL**’’’-

**velocity**-

__capable__*baryonic*

__-__**non**“

**Dark Matter**”, potentially

__be__

**can****ified, and**

__qual__**ified, by a classic Musèan “hypernumber” value, a value that is,**

*class***, a ‘reciprocal-additive’ mixture, combination, or hybrid of the “hypernumber” values**

__precisely__**1/**

__and__

**E****1/**-- namely, the

__i__*hypernumber value --*

**reciprocal**“__”__**nilpotent****1/(**

**E****+**.

__i__)**But how did they arrive at this determination**

*¿*

*?*The answer is that, once again, this determination involves the concept of a “proper” square root.

In particular this determination involves the concept of a “proper” square root of

**0**, already mentioned, in passing, above.

As we have seen, if

**v = c**as, per their hypothesis, it can for

**Luminal**’’’-

**velocity**-

**,**

__capable__

__non__*-*“

**baryonic****Dark Matter**”, as well as for

*‘‘‘*[

**luxonic matter**’’’**], then the Einstein special-relativistic kinetic momentum equation involves a division by the square root of**

__photons__**0**, i.e., a division by

**(0)**--

^{1/2}**p = mc/( 1 - (c**

^{2}/c^{2}) )^{1/2}= mc/(1 - 1)^{1/2}= mc/(0)^{1/2}Typically, only the

**proper square root of**

__im__**0**--

**(0)**

^{1/2}**= 0**-- is considered when evaluating this equation for its

**v = c**possibility --

**p = mc/( 1 - (c**

^{2}/c^{2}) )^{1/2}= mc/(1 - 1)^{1/2}=**mc/(0)**“

^{1/2}**=**”

**mc/0**

-- which results in an undefined value for the momentum for

**v = c**, but a value which can readily be interpreted, given the finite escalation in the kinetic momentum as**v**increases toward**c**, that precedes the undefined value, for**p**, per that equation, that arises if**v**actually achieves**c**.
But let us consider an alternative evaluation of the
relativistic kinetic momentum equation at velocity

**v = c**, one based upon a*“*square root of**”**__proper__**0**.
Let us consider a

*“*potent”, that is, a [hyper]number, call it__nil__**, which is**__n____not__*“*,**nil**”**equal to**__not__**0**--

__n__

__=____n__^{1}**~=**

**0**

-- but whose “potent” -- whose “power”; specifically whose

**power, or***second**“*--**square**”__is__*“*, is equal to**nil**”**0**--

__n__

^{2}**= 0**

-- a value which can therefore serve as a

*“*square root of**”**__proper__**0**--**0 =**, so

__n__^{2}**(0)**

^{1/2}= (__n__^{2})^{1/2}=__n__^{2 x (1/2)}=**±**

__n__

^{1}**=**

**±**

**.**

__n__
By means of such a

-- but could consider, as well, the possible physical meaningfulness of the calculation --

-- which might be a quite

*“*square root of**”**__proper__**0**--**(0)**^{1/2}**=****-- we would no longer be confined to the****±**__n__*“*defined” value for the**un****v = c**calculation of the special-relativistic kinetic momentum --**p = P(v) = P(c) = mc/( 1 - (c**

^{2}/c^{2}) )^{1/2}= mc/(1 - 1)^{1/2}=**mc/(0)**“^{1/2}**=**”**mc/0**

**p = P(v) = P(c) =**p = mc/( 1 - (c^{2}/c^{2}) )^{1/2}= mc/(1 - 1)^{1/2}=**mc/(0)**“^{1/2}**=**”**mc/****±**__n__**, defined, determinate, meaningful value, albeit a hypernumber value, for**__finite__**p****= P(c)**, a value which might identify, or be somehow associated with, other kinds, other__ities, of “__**qual****matter**-**energy**” than the familiar, “normal” -- actually__-- kind:__**RARE***the**‘*__’,__**epsilonic**
‘

_{ALL}__n__**+**’,*‘“***”’, “**__onic__*Tardy***Ordinary**”, “**Visible**”, “**Bright**”,*“*”,**-**__Electromagnetically____Reactive__*‘*’ kind of “

**photons**-**reactive****matter**-

**energy**”.

Now, such nilpotents -- of which many

**are now known to be constructible -- are rather exotic constructions of the human mind, unfamiliar from ordinary arithmetic.**

*species*
However, one of the most accessible nilpotents takes the
form of the sum of the vary pair of hypernumbers that we have already invoked
in this blog-entry:

**(****E****+**.__i__)
Now, clearly,

__n____=____n__^{1}= (**E****+**__i__)^{1}**~=****0**.
But look what happens when we

*“***square**”**(****E****+**--__i__)

__n__

^{2}**= (**

**E****+**

__i__)^{2}= (

**E****+**

__i__)x(

**E****+**

__i__) =**(**

**E**

**E****+**

**E**

__i__**+**

__i__

**E****+**

__ii__) = (

**E**

^{2}**+**

**E**

__i__**+**

__i__

**E****+**

__i__^{2}) =**( 1**

**+**

**E**

__i__**+**

__i__

**E****+ -1) = ( 1**

**+ -1 +**

**E**

__i__**+**

__i__

**E****) =**

**( 1**

**- 1 +**

**E**

__i__**+**

__i__

**E****) = ( 0 +**

**E**

__i__**+**

__i__

**E****) =**

**(**

**E**

__i__**+**

__i__

**E**

**)**.

Now, it turns out that

-- and therefore --

__and__**E****exhibit a mathematical phenomenon called**__i__*“*commutativity”, which means that__-__**anti****E**__i__**= -**__i____, or, equivalently,__**E**__i__**E****= -****E****-- take this on my testimony for the moment, because we will show why it is so further below -- so that --**__i__**(****E**__i__**+**__i__**E****)****=****(****-**__i__**E****+**__i__**E****)****=****(****+**__i__**E****-**__i__**E****)****=****0**-- and therefore --

__n__

^{2}**= (**

**E****+**.

__i__)^{2}= 0
Thus, an alternative “solution” for the

**v = c**value of the Einstein relativistic kinetic momentum, using “proper” square-roots, is --**p = mv/( 1 - (v**, which, for

^{2}/c^{2}) )^{1/2}**v = c**, becomes --

**p = mc/( 1 - (c**

^{2}/c^{2}) )^{1/2}= mc/(1 - 1)^{1/2}=**mc/(0)**

^{1/2}**=**

**mc/(**

**E****+**

__i__)
-- which is a

**, defined, determinate, meaningful value, albeit a hypernumber value, for**__finite__**p**.
To further illustrate why

**(****E****+**, we have recourse to the realm of__i__)^{2}= 0**2**-by-**2**‘‘‘arrays of numbers’’’, or “matrices”, in which ordinary positive unity,**+1**, takes the following form, ‘**1**s on the diagonal,**0**s off-diagonal’ --**|**

**1**

**0**

**|**

**|**

**0**

**1**

**|**

._......_

-- in which the standard product rule, for the
multiplication of matrices, is defined as follows --

**|**

**a b**

**|**

**.....**

**x**

**.....**

**|**

**e......f**

**|**

**....**

**=**

**....**

**|**

**ae + bg.....af + bh**

**|**

**|**

**c d**

**|**

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

**|**

**g.....h**

**|**

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

**|**

**ce + dg.....cf + dh**

**|**

._ _............._......_............._..........................._

-- and in which perhaps the simplest

**of the «**

*species***» that Musès named**

*genos*__, or__

**E**

**E****, was designated by him as the**

_{n}*unit*

**E****, and is mimicked by the**

_{3}*“*

**-diagonal”**__counter__**2**-by-

**2**matrix --

.._....._

**|**

**0**

**1**

**|**

**|**

**1**

**0**

**|**

.._....._

-- via which we can easily see that

**E**_{3}^{2}**= +1**--**|**

**0**

**1**

**|**

**.....**

**x**

**....**

**|**

**0**

**.....**

**1**

**|**

**...**

**=**

**....**

**|**

**1**

**.....**

**0**

**|**

**|**

**1**

**0**

**|**

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

**|**

**1**

**.....**

**0**

**|**

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

**|**

**0**

**.....**

**1**

**|**

._........_............_........_............_........_

-- and via which we can also see, given that

**is represented by the**__i__**2**-by-**2**matrix --

**|**

**0**

**+**

**1**

**|**

**|**

**-**

**1**

**0**

**|**

.._........._

-- noting that this

**2**-by-**2**matrix,*“*, models**squared**”__i__**x**--__i__= -1**|**

**0....**

**+**

**1**

**|**

**.....**

**x**

**.....**

**|**

**0**

**.....**

**+**

**1**

**|**

**....**

**=**

**.....**

**|**

**-**

**1**

**......**

**0**

**|**

**.....**

**=**

**..**

**-1**

**..**

**x**

**..**

**|**

**+**

**1**

**......**

**0**

**|**

**|**

**-**

**1....**

**0**

**|**

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

**|**

**-**

**1**

**......**

**0**

**|**

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

**|**

**0**

**.....**

**-**

**1**

**|**

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

**|**

**0**

**.....**

**+**

**1**

**|**

._..........._.............._........._.............._.........._......................._.........._

-- that

**E**_{3}__i__**= -**__i__**E****--**_{3}**|**

**0**

**+**

**1**

**|**

**.....**

**x**

**......**

**|**

**0**

**......**

**+**

**1**

**|**

**....**

**=**

**....**

**|**

**-**

**1**

**......**

**0**

**|**

**|**

**+**

**1**

**0**

**|**

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

**|**

**-**

**1**

**.......**

**0**

**|**

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

**|**

**0**

**.....**

**+**

**1**

**|**

.._ _..............._..........._............._..........._

**_**

**|**

**0**

**+**

**1**

**|**

**.....**

**x**

**......**

**|**

**0**

**......**

**+**

**1**

**|**

**....**

**=**

**....**

**|**

**+**

**1**

**......**

**0**

**|**

**|**

**-**

**1**

**0**

**|**

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

**|**

**+**

**1**

**.....**

**0**

**|**

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

**|**

**0**

**......**

**-**

**1**

**|**

.._ _..............._..........._............_..........._

**|**

**-**

**1**

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

**0**

**|**

**.....**

**=**

**......**

**|**

**+**

**1**

**......**

**0**

**|**

**....**

**x**

**..**

**-**

**1**

**|**

**0**

**.....**

**+**

**1**

**|**

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

**|**

**0**

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

**-**

**1**

**|**

_ _................_..........._

-- so that

**E**_{3}__i__**+**__i__**E**_{3}**= 0**--**|**

**-**

**1**

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

**0**

**|**

**....**

**+**

**.....**

**|**

**+**

**1**

**......**

**0**

**|**

**.....**

**=**

**.....**

**|**

**-**

**1**

**+**

**1**

**.....**

**0+0**

**|**

**....**

**=**

**......**

**|**

**0**

**......**

**0**

**|**.

**|**

**0**

**.....**

**+**

**1**

**|**

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

**|**

**0**

**.......**

**-**

**1**

**|**

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

**|**

**0+0**

**...**

**+**

**1**

**-**

**1**

**|**

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

**|**

**0**

**......**

**0**

**|**

.._ ._.............._..........._.............._...................._..............._........._

-- and, given that

**(****E**_{3}**+**is matrix-modeled as follows --__i__)**|**

**0**

**+**

**1**

**|**

**.....**

**+**

**......**

**|**

**0**

**......**

**+**

**1**

**|**

**....**

**=**

**....**

**|**

**0**

**......**

**+**

**2**

**|**

**|**

**-**

**1**

**0**

**|**

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

**|**

**+**

**1**

**......**

**0**

**|**

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

**|**

**0**

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

**0**

**|**

.._.........._.................._.........._............._............_

-- we can also see

**that***directly***(****E**_{3}**+**__i__)x(**E**_{3}**+**__i__)**= 0**--**|**

**0**

**......**

**+**

**2**

**|**

**.....**

**x**

**......**

**|**

**0**

**......**

**+**

**2**

**|**

**....**

**=**

**.....**

**|**

**0**

**......**

**0**

**|**.

**|**

**0**

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

**0**

**|**

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

**|**

**0**

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

**0**

**|**

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

**|**

**0**

**......**

**0**

**|**

._............_.............._............_.............._........_

Thus, in particular,

**1/(****E**_{3}**+**is, potentially, a ‘«__i__)**»***genos**-*‘arithmetical**eric**’**ifier’ for the**__qual___{ALL}__c____non__*-*baryonic “**Dark Matter**” “**materiality**”**, as well as for the “***species***materiality**” of**, which, per this hypothesis, are grouped together under a single «***photons species***» «***genos***» whose «***arithmos***» are, collectively, named ‘***monads***alacritons**’.
The category of ‘

**alacritons**’ thus combines the**ic***photon**“***luxon**”**together with the***species*__non__*-*baryonic “**Dark Matter**” species of ‘**’, all of the «**__c__ontractons**» of that «***monads***» being light-speed-capable «***genos***» that are all***monads***capable of speeds**__not__**the speed of light.**__greater____than__
The

**, or***photons**“*, are**luxons**”**capable of traveling at**__only__**the speed of light.**__exactly__
Per this hypothesis, the

_{ALL}__c____non__*-*baryonic “**Dark Matter**” ‘**’ are capable of traveling at speeds**__c__ontractons**the speed of light, but**__less____than____or____equal____to__**capable of traveling at speeds**__not__**the speed of light.**__greater____than__Therefore, in overall summary, we have --

**(1)**‘

_{ALL}

__n__**+**’ ‘“

**Tardyonic**”’, “

**Ordinary**”, “

**Visible**”, “

**Bright**”,

__sub__*-*

**light**-

**velocity**

**Matter**”

*‘‘‘*ified’’’ and

__class__*‘‘‘*ified’’’ by the hypernumber

__qual__*‘*ifiable

__quant__**ifier’ value**

__qual__**1/**

**E****,**

_{3}**(2)**‘

_{ALL}**’ ,**

__c__

__light__*-*

**velocity**-

**,**

__capable__

__non__*-*“

**baryonic****Dark Matter**”, as well as

*‘‘‘*[

**luxonic matter**’’’**],**

__photons__*‘‘‘*ified’’’ and

__class__*‘‘‘*ified’’’ by the hypernumber

__qual__*‘*ifiable

__quant__**ifier’ -- the reciprocal “mixed” or “hybrid” hypernumber value --**

__qual__**1/(**

**E**

_{3}**+**, and;

__i__)**(3)**‘

_{ALL}**’**

__x__

__super__*-*

**light**-

**velocity**-

**,**

__capable__

__non__*-*“

**baryonic****Dark Energy**”,

*‘‘‘*ified’’’ and

__class__*‘‘‘*ified’’’ by the hypernumber

__qual__*‘*ifiable

__quant__**ifier’ value**

__qual__**1/**.

__i__
If we assume that each of these three values,
analytically-geometrically, ‘uni[ti]fies’ its own special axis in hypernumber
space, perpendicular to the axis ‘uni[ti]fied’ by each of the other two, then
each of these values is

**itatively**__qual__**equal,**__un____not__**itatively**__quant__**equal, to each of the other two values, so that the three kinds of “matter” are tagged with three**__un__**itatively distinct ‘hypernumber**__qual__**ifier’ “labels”.**__qual__*.*

**TO BE CONTINUED**
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