Hi All!

This post is written as my testimonial and so for posterity.

I expect little feedback from the forum readers; most of whom would baulk at a seeming mathematical complexity. But I can assure the few brave ones, which might understand some or all of the propositions discussed; that the contents of this post are relatively easy. I am by no stretch of the imagination a professional mathematician or theoretical physicist.

This treatize shall concentrate on the actual Cosmogenesis. How the universe came into existence from seemingly nowhere at all; i.e. the 'singularity' of infinite density of zero-spacial extent and so at the inferred beginning of time.

There are many supporting posts, which can be found in the libraries of the forums and the messages themselves; say on my favourite topics of the neutrino masses and the ylemic neutron stars and the imo beautiful quarkian kernel-ring quantum geometries.

Forums such as this one are in some sense unsuitable to disseminate such information. Actual classrooms in colleges and universities would be more appropriate.

Another handicap of mine is the lack of artistry and the technical equipment to support the calculations and derivations with diagrams and pictures.

I am a simple disability pensioner who has very weak legs and no further income support.

Nevertheless, my personal consciousness connection to the greater ID has induced me to write this testimonial for its own agendaed reasons far surpassing my egocentrically human mindedness and understanding and So Be It.

And as the following initial introduction shows, I am postponing my retirement for that selfsame reason of the Identity shared by us all  - that of the unnamed, which is yet many-named as the NAME=AMEN=33.

Hi All!

Prelude: I have felt like a dying old man in the last few months, literally standing on his last pair of legs.

This has also resulted in a change of individuated consciousness as to the value and necessity of sharing a certain wisdom with the forums.

Subsequently I have lost incentive to share this wisdom, seemingly largely unappreciated and often misunderstood. I am also not interested in sharing or pushing my insights and cosmology in the egocentric manner evident by the forum contributors who do likewise.

However, last night I received a certain direction (from my changed consciousness regarding those things) to post this message to the forums.

Somewhat reluctantly, I am doing so with this posting; and in such manner briefly postponing my retirement from active contribution to the forums.

To the few members, who do and have appreciated my contributions, I apologize for my aprupt departure; which was a directive from the 'cosmic heart' and not in any way coloured by intellectual bias.

This post then is written for posterity; I expect little feedback from the forum readers; most of whom would baulk at a seeming mathematical complexity.

But I can assure the few brave ones, who become enticed to follow the reasonings and who might understand some or all of the propositions discussed; that the contents of this post are relatively easy. I am by no stretch of the imagination a professional mathematician or theoretical physicist. I am university educated with a BSc, which I gained a long time ago in the early 1980's. So many forum members would carry far greater qualifications and possess greater experience and technical nous in mathematics and theoretical physics, than I do.

But I am a messenger from the IT, described in this treatize. So I would surmise, that the captivated reader is drawn to this work for the same reason the majority will eschew it. There is in place a smokescreen and a veiling which is set in place in terms of self-consciousness, the cosmic consciousness of IT. And the IT is part of all of us and all of us are part of IT with IT carrying ITS unified agenda far surpassing the scope of the human egocentricity which all individuated selfs must suffer, especially if in embodiment. IT is all of us and One, including sceptic and believer and king and beggar and perpetrator and victim and accused and accuser.

I do intend to bear witness to a grand anagrammatic anniversary anno 2012.

It was 1202 (2012 digitally rearranged), when Leonardo de Pisa aka Fibonacci (Son of Botacelli) {~1175, Pisa-~1250} published the LIBER ABACI, introducing the Hindu-Arabic (decimated) numbersystem to the Western World and displacing the cumbersome Roman numerals.

It was January 18th, 1985, when a humungous hailstorm hit my city of birth, Brisbane, Queensland, Australia and when something else besides the hailstones fell from the heavens. I was allowed by providence to rediscover the Fibonacci series of numbers then, completely independent of the works of Fibonacci, then completely unbeknown by me.

I was very excited of having discovered 'new mathematics' for about a week until I found 'my' numbers in some reference book. Well I hadn't used rabbit populations and their generations though. I had found number triplets of a recursive nature, which described the birth of the fundamental constants and seemingly would allow one to retrace just how the universe was born and came to be from the generation of the awareness-triplets and which had caused the IT to awaken from its neverending eternal infinity-loop.

This then began my 'Hellish Grail' of Quantum Relativity and its Cosmology as proposed and presented by Tony B.

My 'catholic' namesday is after Anthony de Padua, a Christian saint {~1195, Lisbon-13th June 1231, Padua} and 9 days after my birthday (4th of June 1957).

I was 27 yars old at the time of the hailstorm and Anthony of Padua was 7 years old when the Liber Abaci and the Fibonacci numbers were first published. Anthony de Padua and Leonardo de Pisa were contemporaries.

So perhaps anno 2012, the true significance of Quantum Relativity will be more widely known and understood in the footsteps of the Liber Abaci of Fibonacci.

I quite realise now, that it might well take 27 years since the hailstorm (1985+27=2012) for the rediscovered Fibonacci Numbers (and the Golden Mean of the Greeks with Phi and the Golden Ratio and the Lucas Numbers etc.) to allow their true significance to be shared with the global community of the children and offspring of IT. And by the way: 27+27=54=LOVE=12+15+22+5, the reversal of USE=45=21+19+5. Their sum of 54+45=99=3.33 and underpins the entire number system and dimensionalities in (1+4+7=12 as the linear dimensions with 2+3+5+6+8+9=33) and leading to the Maria-Matrix-Encoding via the sum 1+2+3+4+5+6+7+8+9=12+33=45. Ergo USE LOVE is an encoded prime directive of some sort, directly from science and the mathematics underpinning it.

So I shall attempt to finish this thread begun rather reluctantly and simply ask all forum members to bear the nature of this post. It is predominately written for posterity and the time after 2012. Whoever might be around to ponder the contents of this treatize then, might witness and see it in a different illumination as is possible today, August, 28th 2007 and the next five years or so.

With this bid I you all well and thank you for your patience.

Anthony Paul Bermanseder (Padua Paul PisaDragon aka PPP aka 97,43&54+50+104,45&59)

  

PS.: I would like to thank personally here the people who have expressed support and sympathy in regards to my endeavours.

John, Jim, Jane and Cheryl from Quantum Relativity; Jim from QuacksAnonymous; Roy, Sean and Allan from CPH-Theory and Mike, Ted and April from Panentheism and Anna and Hans-Dieter from Patternville. And also Cecilia.

A selfconscious universe by matter of the dark energy OR Why Nothing Exists as One!

1. Introduction

2. The Planck-Nugget

3. The Transformation of the Planck-Mass

4. The String Algebra of the Gauge Symmetry Breaking

5. The XL-Boson-String and Gravitational Decoupling

6. The Cosmic Wavefunction B(n) of cycletime n

7. The Quantum Big Bang Heterosis of the Wormhole

8. Newton's G and the Missing Mass

9. The Higgs Boson and Electroweak Decoupling

10. The Dark Energy and Consciousness 

Addendums/First Causes/

 

1.Introduction

Why does the universe exist and how did IT come to BE? Such philosophical meanderings have occupied the minds of thinking and sentient beings for perhaps millennia.

Yet the answers strike at the core of the constructs of science in the form of theoretical physics.

This treatize shall indicate and show that IT is consciousness and indeed well defined in logical, mathematical and physical terms, well understood and catalogued in the scientific database.

And this despite the naysayers, who attempt to deny a physical reality to the concept of consciousness (yet to be defined in physical terms of course).

This physical consciousness is resident, but not confined in the awareness of embodied selfhoods, say on a cellular level of biochemistry and say the quantum physics of biological brains. Rather IT resides wherever the universe is ITSELF, say as defined in parameters of space and time and mass.

So how dit IT come to BE; from Nothing or from the Unity of that Nothing?

In the beginning was what? Nothingness as Unity, yet somehow sentient in a primordial meaning of the word.

Proof?

You, the reader exists relative to yourself and others perceiving you in some way. You exist and if reading this, you are able to construct things, able to imagine things, able to think in abstract terms perhaps from a base of memory and experience, able to be creative in some manner and so on and on.

So whatever was or is the beginning must encompass and accomodate your, the reader's sentience and intelligence as part of ITSELF.

And so theoretical physics constructs the Planck-Nugget as an abstract, yet selfconsistent and logical entity as the modular building block  or superquantum as the basis for all physical parameters.

This Planck-Nugget or PN must by necessity be formulated in a dimensionless manner to reflect the Nothingness as Unity condition of whatever definition can be invented or created through and by it. This means simply, that measurable space and time and mass are connected in such a manner that a certain partitioning allows a cancellation of the individual measurement units used (say metre 'm' for displacement in space; second 's' for displacement in time and kilogram 'kg' for displacement of mass).

The PN so encompasses all of physics in appropriate boundary conditions for those parameters and is well documented in the literature as the lightspeed 'c' limiting the classical macrophysics of the relatively large and the action constant 'h' limiting the quantum microphysics of the relatively small.

So the finestructure and connectivity between the  macrocosmos observed in galactic structures, stars and planets and classical mechanics embodied in Newtonian forcelaws and the microcosmos of the atom and subatomic structures must also include the relationship between 'c' and 'h' and matter parameters like mass and charge. By implication, the connectivity between classical spacetime geometry and quantum geometry should also indicate the blending of General and Special Relativity as abstract mathematical constructs for the formers.

2. The Planck-Nugget

The PN is abstractly defined through its finestructure of the Planck-Mass mP set to Nothing=Unity symbolised  in an initializing and precursive, yet seemingly absurd statement 0≡1, transmuting into  1=2πG.mP²/hc.

This formula is dimensionless in unity 1 in that all symbols for the spacetimematter parameters cancel.

Newton's gravitational constant G is measured in units Force.Area/Mass² or [Nm²/kg²]=[kgm³/kg²s²]=[m³/kgs²].

mP is in [kg]; h is in Energy.Time or [Js]=[Nms]=[kgm²/s] and c  is in [m/s] as velocity.

So [1]=[m³/kgs²].[kg²]/([kgm²/s].[m/s])=[1].

Now the PN is also defined in nonmass terms electromagnetically in a well known Alpha-finestructure Alpha=2πk.e²/hc and where 'k' is the Coulomb constant in units [Nm²/C²] for electrocharge 'e' analogous to the mass term  in the PN.

The logical next step now becomes to set Alpha=1, rendering k.e²=G.mP².

But this is premature, as the concepts of Force or Energy are not as yet defined in terms of the measurement units for the spacetimematter.

The PN so transforms its Unity as the Planck-Mass 1=2πG.mP²/hc or mP²=hc/2πG  via a finestructure into a standard base metric known as the Schwarzschild Metric.

1={2G.mP/c²}.{π.mP.c/h}

and preserving the cancellation of the measurement units in {m}.{kgm/Js²}=[1].

This finestructure now defines the Planck-Length aka Planck-Radius as lP=2G.mP/c².

The PN is now defined in mass and length via its Black Hole equivalent, therefore resetting the previously absurd identity 0≡1 as a measurement of space displacement of so 2x10^-35 m for a mass of so 1.7x10^-8 kg.

The abstract universe of IT so is defined in a single Planck-Nugget.

The next logical step for IT is to utilize this newly created definition to make copies of ITSELF in displacement now defined in lP.

1 PN becomes PN+PN becomes (PN+PN)+PN and so on, say in the application abstractly defined as the process of mathematical induction.

This also becomes a multiverse of PNs in linear proportion of the displacement in space and the displacement in mass.  It is nought, but the quantisation of the spacetimematter parameters, used to define the PN in the beginning.

Now the Planck-Mass is about the weight of a grain of sand on the beach, say 20 micrograms and to construct a macromass of 1 kg, requires so 60 million copies of the PN in (60x10^6).(1.7x10^-8 kg)~1 kg.

But one can say, that a 1 kg mass contains so 60 million Planck-Nugget masses.

The 60 million PNs would however only yield a total 'size' for a 'conglomerated' universe of so (60x10^6).(2x10^-35 m)~1.2x10^-27 metres.

Now many people know, that many masses on the 1 kilogram scale are rather bigger than the small Black Hole size of the 1 kg cumulative PN-universe.

And many masses are found on the atomic scales and the subatomic particles, which are significantly less than the Planck-Mass of the PN.

The new definition for the 0≡1, transmuting into  1=2πG.mP²/hc  is found insufficient to describe the measured and observed universe.

So how can a real mass of 1 kg be confined in a Schwarzschild metric of so 10^-27 metres and yet manifest on much larger scales than this, say on a scale of metres?

This is the key to the unification physics; the link between 'c' and 'h' and between mass and charge and the Planck-parameters magnified in transformation, say as modelled in strings.

The dilemma for unification physics so is one of the Black Hole metrics.

Adding the Nothings of the Unity allows for the creation of conglomerated Black Hole Nothings, but the quantized energy EP=mP.c² of about 1.5x10^9 J or 10^19 GeV (GigaElectronVolt) is far too big to accomodate the corresponding space displaments for say a wavelength of 2πlP ~ 1.2x10^-34 metres.

Yet, in the Nothingness, this is precisely the case. A potential infinity of universes exist, each a copy of its adjacency as the Planck Modularity. The cosmic sentience is selfdefined in the PN, yet finestructured in a transformation of its own Planckian parameters.

And it is this transformation, centred on a redefinition of the Planck-Mass, which leads to the parameter for consciousness and an indication for the solution of certain cosmological conundrums, such as dark matter, missing mass, dark energy and the finestructerings of certain fundamental constants like 'h' and 'G' and '1/c²'.

3. The Transformation of the Planck-Mass

So how is the Planck-Mass transformed? We recall our Alpha=1 condition and the introduction of the 'k' and 'G' constants with the say newly invented units for the chargequantum 'e' known as the Coulomb 'C'.

It is important here to understand the hitherto apparent omission of the time-parameter from the discussion.

There is a Planck-Mass and a Planck-Length and a Planck-Energy and also a Planck-Time.

The Planck-Time tP is finestructured from wavevelocity=wavelength.frequency or c=λP.fP=λP/tP  as tp=lP/c=√(hG/2π.c³)=√(hG/2π.c^5) ~ 7x10^-44 seconds.

Here the wavelength is used in radius form, omitting the 2π coefficient to conform with the labelings in the scientific literature.

To be precise, the above definition for the Planck-Length should be revisited in its Schwarzschild metric with a precise examination of the primordial identity 0≡1.

We have a Zero-Point-Energy or ZPE for this identity and a Omega-Interval [0,1]; which we shall reencounter shortly in a related context.

But the logical ZPE will become the precise mathematical mean for this interval, i.e. the number ½.

This defines the Black Hole Planck-Length as GmP/c²  dropping the factor of 2 from the Planck-Energy EP  and as a Minimum Planck-Oscillator for the Planck-Nugget.

This gives the Planck-Time of the above and in consistency with the chronology of this treatize, in not having defined a Planck-Length lP=√(hG/2π.c³) as yet.

But as time is quantized in the Planck-Time, any PN or summation of it, will also allow the concept of temporal 'timeflow' to become restricted to a NOW-Instant of duration the Planck-Time.

So philosophically speaking, any hindsight and knowledge applied anytime can also be considered a foresight applied anytime.

In other words, time as past, present and future does not really exist, except as in a form of instantenuity.

So the logical discourse of this treatize does appear to simply throw equations into the arena; but those equations are and must be restricted by the criteria of mathematical necessity and sufficiency and the boundary conditions described.

One such equation and crucial for the following is the finestructure of c² from the Maxwell Equations and of course Einstein's E=mc².

Maxwell's equations describe classical electromagnetism and are based upon the coupling of electromagnetic parameters to magnetic parameters.

In particular the formula εo.μo=1/c² couples electric permittivity  εo to magnetic permeability μo in so called 'free space' independent on any properties of physical fields.

Our constant 'k' is defined in terms of εo and as k=1/4πεo.

We can furthermore finestructure the Maxwell Constant as:

 {1/120πc}.{120π/c}=εo.μo=1/c² .

The reason for this shall crystallise shortly.

But the Planck-Mass transformation next utilises our Alpha=1 definition as logistical next step.

Then k.e²=G.mP² will allow some redefinition for the Planck-Mass using the new units embodied in the k definition. G is covered, as we already have metres, seconds and kilograms for the Planckian parameters.

So IT decides to label the G-form of the Planck-Mass as its primary Planck-Boson-String. This the supermembrane class I in M-Theory, containing both closed- and open-ended superstrings.

The secondary form will now use the Alpha=1 condition to create the next class of the Planck-Nugget or Planck-Boson-String or PBS.

M-Theory has labelled this class the selfdual class IIB, but we can leave M-Theory at this point, except match its labelings of the classes to our simplified logistics of IT, the PN-Universe's cosmology.

We shall call the secondary PBS the Monopole-Boson or the Monopole-String.

The transformation of the Planck-String into the Monopole-String will DECREASE the Planck-Mass and so INCREASE the Planck-Length and NOT in a summation in linear proportionality, BUT in an inverted proportionality.

This we might term the MODULAR DUALITY of the unified universe, where mass and electrocharge are coupled to each other in a most elementary manner through the k.e²=G.mP² identity. This of course must define k and G from first principles.

In other words, what is known as the Big Bang becomes the inflationary EXPLOSION of the Planck-Nugget or Planck-String and which also represents a simultaneous IMPLOSION in a say 'higher dimensional' sense, the latter describable in the Black Hole physics however.

The INFLATION will comprise the five superstring classes of M-Theory and redefine the NOW-Instantenuity, however with an important difference.

M-Theory considers all classes to be defined on the Planck-Boson scale, whilst this treatize restricts the Planck-String to class I - the other 4 classes REDUCING the Planck-Mass and correspondingly INCREASING the Planck-Length in the BREAKING of the GAUGE SYMMETRY.

It is this symmetry breaking, which this treatize is attempting to illuminate in description for posterity to establish for the enhancement of the global scientific data base.

The gauge interactions can be labelled Strong Nuclear S; Electromagnetic E; Weak Nuclear W and Gravitational G.

But at the present moment, the inflation is still confined in the first PBS transformation, transmuting the Planck-String into the Monopole-String and attempting to INCREASE the Planck-Time and the Planck-Lenghth and simultaneously DECREASING the Planck-Mass.

So no universe except the Nothing=Unity=One exists in its abstract symbolisms, known as mathematics.

No Big Bang has occurred and no Planckian parameters exist in any physical recognisable form or manner.

The Big Bang will occur ONLY once the last String, which we shall name the Weyl-String, has transformed down the classes from the primary eigenstate.

THEN, spacetimematter will be DEFINED and the known parameters of theoretical physics will become effective in the abstract symbolism of mathematical equations manifesting as the measured Energies of the universe.

So spacetimematter is undefined, except in an inflationary string epoch PRECEEDING the notion of a Big Bang and a linearized time-quantization interval, which can be found to span a chronology from the Planck-Time of so 7x10^-44 seconds to 3.3x10^-31 seconds.

This treatize predominantly describes this string epoch and the hows and whys occuring therein, leading up and causing the Big Bang of classical science and theoretical physics.

The Monopole-String so shall elucidate the elementary relationship between electropolic charge 'e' and mass m via the definition of Coulomb's constant k.

0≡1, transmuting into  1=2πG.mP²/hc ,  transmuting into Alpha=1 leads to k.e²=G.mP².

So IT writes mx=e.√(k/G) , redefining the Planck-Mass as mx. But how are the units for charge 'e' and so constant k identified?

We are in the process of decreasing the Planck-Mass under Modular Duality and so the constants k and G MUST embody this modular duality as inversion proportionality.

This represents the nature of those constants from first principles.

There is only one possibility. The two constants must be the inverse identitities of each other.

So IT writes √(k/G)=√(k²)=k=1/G and for a new identity 1=kG.

The units for k are Nm²/C² and for G the measurement units are  Nm²/kg².

A direct consequence for this becomes, that the energy units as Joules or J are modified by C via the definition of the Volt V as Energy/Charge or J/C; giving the electronvolt definition 1 eV=e.E and for Electric Energy being measured in units CV.

From this the redefinition of k=1/4πεo  now allows  the creation of units for the electric and magnetic constants via the finestructure of the Maxwellian Laws.

In particular Capacitance becomes measured in Farad as the ratio of Charge/Voltage or [F]=[C/V]=[C²/J]. So as the Coulomb Force times Displacement gives the Electric Energy, [J/m]=[k-units][C²/m²] or [k-units]=[Jm/C²].

The measurement units for k so must be the inverse of those of the electric permittivity εo=1/μoc² and which is measured as [F/m]=[C²/Jm]. 

Subsequently, our new identy 1=kG allows redefinition of the mass-dependent Planck-String in terms of the Monopole-String.

As 1=[Jm/C²].[Jm/kg²]=[J²m²/C²kg²]=[Jm/Ckg]²; we crystallize [m]=[Ckg]/[J]=[Ckgs²/kgm²]=[Cs²/m²].

This dimensional unitisation then allows the redefinition of the Planck-Length in [m]=[C]/[m/s]² in a 'Stoney-Unit' substituting a 'Planck-Unit' as [Length]=[Charge/Velocity²] and symbolised as e/c², using the boundary or limiting min/max conditions.

The expression of course crystallizes the Squareroot of Alpha as a fundamental parameter relating the units of Stoney to those of Planck because of the squared initial Planck units.

But we find the fundamental inflation parameter of the string epoch in the expression lP.√Alpha=e/c².

This is a most important expression, as it defines the Explosion-Implosion Modular Duality for the string transformations.

The Planck-Length Minimum is REDUCED in a factor of  √Alpha~1/11.7  to so 2x10^-36 m in a Planck-Nugget contraction or a Planck-Length-Bounce and which causes the inflation to proceed.

The resetting of the units gives a 'higher dimensional' Hamiltonian in the expession e=c².lP.√Alpha.

This is [Charge]=[Displacement][c²]=[m³/s²]=[Volume].[Angular Acceleration] and allowing a redefinition of Charge in the 'higher dimensional', read string-epoched sense.

Now the Newtonian Forcelaws of Force=Mass.Acceleration or F=ma  finds it 'higher dimensional' precursor in the statement Consciousness=Area.Acceleration; say as a flux of a surface distribution across a normalised linear acceleration or equivalently a volume acted upon a radius-independent angular acceleration.

But the linear expression is in the lowerD- and mass-related sense; whilst the angular expression is the higherD form of the described transformation of the Planck-Nugget and expressed in say a StarCoulomb (C*) as the unit for the thus physically defined cosmic consciousness of IT.

The parameter of mass in the spacetimed universe so becomes the linearisation of higher dimensional 'space', which is mapped through the definitions of the string parameters.

And as the Planck-Nugget is a prime derivative from the standard metric as the Planck-Length; the 'Curvature of Spacetimematter' automatically provides the link to the formalism of General Relativity linked to a form of Quantum Gravity through the transformation mechanisms mirrored in the topological geometries.  

In other words, Volume subject to linearly radius independent acceleration defines physical consciousness as 'spacetimematter' awareness and where this awareness becomes the timerate change for frequency as df/dt.

All mass is electrically coupled to the electrocharge  by mx=ke=e/G from  k.e²=G.mP².

From this the Monopole-String evolves.

Using {1/120πc}.{120π/c}=εo.μo=1/c² and k=1/4πεo =30c  in string units explicitely defines mx=30ec and so defining the Monopolic Mass-Current 'ec' in units of [Charge][Velocity]=[Current][Displacement]. 

Ergo linearised mass m represents monopolic string-current, quantised in the monopole string ec of eigenenergy E=(ec)c² = 2.7x10^16 GeV ~4.8x10^-11 kg.

The Planck-String couples to the Monopole-String in the Planck-Bounce and the Hamiltonian  of the Coulomb Charge  expressible in the StarCoulomb as a 'MagnetoCharge'.

This is described in e=c².lP.√Alpha and which is now generalised in the expression: e'={Line Displacement Current Element l'}.c².

Now mP/ec=30/√Alpha as the required string transform of the Planck-String by mP.√Alpha =30ec.

Bouncing the Planck-Length so produces the reduced Planck-Mass and the magnified Planck-Length in a de Broglie inflation wavelength, namely:

lP→lmonopole=h/(2π.mmc)=h/2π.ec² and now for lP=√(Gh/2πc³)=h/(2π.mPc).

This is generalised in subsequent transforms in the Compton-Radius Rc=h/2π.myc and significantly results in the classical electron radius Re=ke²/mec²=hAlpha/2π.mec=Rc.Alpha.

The Bohr atom is then crystallized in the first Bohr-Radius of the Hydrogen atom in Re=RBohr1.Alpha² in a further magnification of the Planck-Length for the linearly applicable quantum physics. Also, the Rydberg Spectra couple in the Rydberg Energy as Ry∞.hc=Alpha³.hc/4π.Re  in this factorisation of the finestructure of Alpha.

These generalisations do not come into play until after the Big Bang, initialized by inflation. Those definitions are mentioned here, because an important 'omnispace law' for ACTION, now crystallises as effect of the monopole mass-current.

Linear Momentum mv generalises as (ec)c for the monopole-mass-quantum, so modifying the Heisenberg Uncertainty Principle (HUP) and so as:

[Action h]=[Momentum][Displacement]=[Energy][Time]=(ec²)(e/c²)=e²=[Charge]². 

Our utility for the Maxwell finestructure is found in the scientific database in the concept of 'Free Space Impedance'. The following definitions correlate to the approximation of  actualising the speed of light c in Quantum Relativity as precisely 3x10^8 (m/s)*; with *-units calibrated to the SI-mks system.

The impedance of free space, Z₀ is a universal constant relating the magnitudes of the electric and magnetic fields of electromagnetic radiation travelling through free space.

where

E = electric field strength

H = magnetic field strength

The impedance of free space has units of ohms (Ω).

The analogous quantity for a plane wave travelling through a dielectric medium is called the intrinsic impedance of the medium, and designated η (eta). Hence Z₀ is sometimes referred to as the intrinsic impedance of free space, and given the symbol η₀. It has numerous other synonyms, including:

• the vacuum impedance,
• characteristic impedance of vacuum,
• intrinsic impedance of vacuum,
• wave resistance of free space.

Relation to other constants

From the above definition, and the plane wave solution to Maxwell's equations,

where

μ₀ = permeability of free space

permittivity of free space

c = speed of light in vacuum

The reciprocal of Z₀ is sometimes referred to as the admittance of free space, and represented by the symbol Y₀.

Exact value

Since 1948, the SI ampere has been defined by choosing μ₀ to be H/m. Similarly, since 1983 the SI metre has been defined by choosing the speed of light c to be 299792458 m/s. Consequently

Z₀ = μ₀c = 119.9169832πΩ

exactly, or

approximately. This situation may change if the ampere is redefined in 2011.

120π-approximation

It is very common in textbooks and learned papers to substitute the approximate value 120π for Z₀. This is equivalent to taking the speed of light to be m/s. For example, Cheng 1998 states that the radiation resistance of a Hertzian dipole is

[not exact]

This practice may be recognized from the resulting discrepancy in the units of the given formula. Consideration of the units, or more formally dimensional analysis, may be used to restore the formula to a more exact form - in this case to

Now this is our Action-Law, underpinning the superconductive nature of free space, as say the Quantum Hall-Effect (h/e²); the Josephson Frequencies (2e/h)and the Conductance Quantum (2e/h²). It underpins the superconductive mass currents of so termed cosmic strings in connection with Black Holes as shall be described later.

 

The ratio  μo/εo  has units [Js²/C²m]/[C²/Jm]=[Js/C²]² of [Action/Charge²] and in conformity with our monopole definitions of monopolic masscurrent ec in kilograms.

 

Now we use μo=120π/c  in finestructured units [s/m] and reassign the indigenous units of [Js²/C²m]=[Js/C²].[s/m] to see the Action-Law as unitised unifier for the free space magnetic permeability constant.

 

It is significant that the SI definition for μo=4πx10^-7 Henry/metre and as the only constant invariant from the star(*) and the SI-unitary systems.

It so becomes the calibration standard for precise measurement of c and h to calibrate the systems; which render c=3x10^8 (m/s)* and h=1/(15x10^32) (Js)* precisely.

 

At the present time, and for SI measures: c=2.99792458x10^8 m/s and h=6.626075957x10^-34 Js; the calibration constants are:

[m*]=[0.99833187m]; [s*]=[0.999023008s]; [kg*=0.996261351kg] and [C*]=[0.997296073C], all subject to improvement in precision wrt the SI-measurements for c and h.

 

A significant procedure now becomes to use the definition of the magnetic permeability constant to derive the classical electron radius independent on the electronmass.

Given Re, the effective electronmass as a stringmass will become me=ke²/Rec² .

 

Then (me/e)=ke/Rec²=(k/Re).lP√Alpha with a quantization of lP√Alpha/Re in mass/charge units as k-units.

One can write Re=10^10.λW/360; where λW is the Weyl-String wavelength of the last string transformation. It can be derived as follows.

 

 

We write μo=120π/c =λμ/Rec=f(Re) so defining a 'free space' wavelength λμ=120πRe=120π.Alpha³/4πRy∞=30Alpha³/Ry∞ ~ 1.05x10^-12 m and in using the Rydberg definition.

Next we seek a proportionality in f(Re) to eliminate Re and this will be our charge-mappings eÛe*.

 

 

The magnetocharge then becomes 'Big Banged' as the expression e*=2Rec² with the classical electron diameter (2Re) substituting for lP√Alpha and for an effective displacement scale magnification of 2Re/lP√Alpha of about 3x10^21.

{One might note here, that relative to this unitised scale (mks) a maximised galactic extent is mapped in this ratio, a typical evolved single galaxy being so 10^21 metres across. We shall see that this represents the precise distance for the modular inversion scale of the last string formulation, described in M-Theory as heterotic superstring HE(64). This shows that the macroscale of IT maps galactic cellular units onto the microscale of the nuclei of the elements}.

This represents the inflation scenario on the 1kg-1m-1s or unitised Planck-Scale.

We so redefine  μo=120π/c= λμ/Rec=1/fμRe=f(Re)={8π/360}.Ne*/Re={8π/360}.N(2c²) and solve for the 'magnetocharge counter'  N=2700/c³=2700e/ec³=2700e/Emonopole with fμ=360/8πNe*=Eμ/h.

The proportionality so is frequency fμ not as physical quantity, but as a number count N=2700/c³ which manifests NUMERICALLY as the number of 'quasi monopolemasses' in the c³ monopole energy. N=1/10^22  so transforms as the wormholeperimeter λW=10^-22 metres precisely. The factor {8π/360} linearises a fourfolded circular continuum of the Planck-String spanning a radial definition of 1440° or 8π as the class I superstring of the closed and openended (dirichlet) variety.

We shall reencounter this at the Quantum Big Bang.

The Planck-Constant is now finestructured via the de Broglie matter wavelength in h=λW.mWc=λW.(Ew/c)=λW/e*c=λW/2Re. c³.

This eigendefinition for the Weyl-String energy shall prove decisive in our string transform derivations to follow.

This crystallises MagnetoCharge e* to be the inverse energy-quantum for the Weyl-String defined in EWeyl=hfW=hc/λW=mwc²=kTw.

The factor 360 as a degree-count is not arbitrary, but results from a mathematical definition for the transcendental number π.

{Infinite series expansion for sinx and cosx and a geometric Archimedean inscription and circumscription of four-tupled regular polygons result in an equality as a function of integer N, which in taking a limit for N approaching infinity gives the number 180 as that limit.

Let the angle Θ=45/(2^[N-1])=2Φ=90/(2^N) and define  π=(2^[N+1].sinΘ/cosΦ) for N steps of the Archimedean iterations. Trigonometric series expansion sets the limit as: (2^[N+1].45.2^[1-N])=180.}.

The monopole mass of 2.7x10^16 GeV so transforms the Planck-Radius as a de Broglie Radius in rm=h/2π.ec² ~ 7x10^-33 metres. The Planck-Time is extended in hfm=hc/λm=h/tm=mmc² as tm=h/mmc² ~ 1.5x10^-40 seconds.

The next transform is identified in the scientific data base as that of a hypothetical X-Boson. We shall label this as the XL-Boson-String also known in M-Theory as the Heterotic string class HO(32).

The XL-PBS will effect the actual bifurcation of the bosonic particle state into fermionic constituents. Boson statistics (Einstein-Bose) describes integral, say 1-spin states, whilst fermion statistics (Fermi-Dirac) is described by half-spin states.

The Planck-Nugget thus splits into quark- and lepton parts, following the established nomenclature of the standard models. The X-Boson will be a dineutron quarkian eigenstate and the L-Boson will be the dineutron's dileptonic constituent.

So it is here in the string epoch and following the emergence of the monopole, that one can first describe particular eigenstates for electrons, protons , neutrons and quarks.

The bifurcation transforms the Monopole-String into the XL-Boson-String, the latter applying a Gravitational Finestructure in Alpha'=2πGmy²/hc  to relate the Electromagnetic Finestructure