Fundamental Algorithmic Constants for the Physical Universe

Algorithmic Elementary Constants for a Physical Finite Universe!

In Lake'ch - I am another yourself!

May the symbol of the peacepipe be extended to you all.

One great controversy in the day-to-day affairs of scientific- and philosophical man engages the idea of the universe being finite or infinite in the parameters of space and time.

If finite, then a beginning of space- and time becomes necessary and the human model builders term this the event of a 'Big Bang'.

If infinite, then no such 'quantum tunneling' is required and the spacetime variables can be said to have always existed in a backwards projected past and will always exist in a forwards projected future.

Both infinite and finite universes in space and time demand however some mechanism to manipulate subrealms, say mini- or baby universes in an overarching physical concept of Energy.
This energy then becomes subject to transformative agents and agencies which say are defined in interrelated energy concepts such as Kineto-Entropic-Dynamic Temperature, Potential Position, Linear, Angular-Orbital and Spin Momenta and 'Inherent' energy content such as given in the concepts of Mass in E=mc²and Electromagnetic Radiation in E=hf and in a scalar space- or metric background defined in Temperature in E=kT.

Complexifying these energy-momentum relations, so results in the edifices of modern science, of physics leading into chemistry and its biochemistry interacting with biology; albeit based on the fundamental assumptions of basic formulations as indicated above.

A finite universe then demands a particular minimum spacetime configuration to 'birth' the particular energy-momentum proportions in the form of fundamental constants like the speed of light 'c'; Planck's Constant 'h'; the Coulombic Charge Quantum 'e'; the Stefan-Boltzmann Constant 'k' and a 'stuff' or 'amount' molar constant, called Avagadro's Constant related to 'k'.

In an infinite universe, the 'Constants of Proportionality' can interact and interrelate in a multitudinous manner, as only one or a few configurations of those interrelations are required to result in an observed and measured universe enabled to harbour the experienced complexities and energy-mementum conglomerations, such as superclusters, galaxies, stars, planets, mountains, savannahs, dinosaurs, elephants, dromedaries, people, gibbons, echidnas, pheasants, wasps, dung beetles, mosquitoes, microbes, bacteriophages and viruses.

In a finite universe; for the complexities labelled above to manifest physically; the fundamental constants are required to be 'finetuned' in their interactivity.

Some proponents for the multiverse- and 'many worlds' paradigms then infer 'Anthropomorphic Principles', which state that the universe exists the way it does, because a particular fundamental constant configuration, [namely the one given in the mono-universe model]; is observed and encountered by the 'measurers' in one finite subuniverse.
Anthropomorphic Principles are unnecessary, because the natural fractal- and holographic nature of the expanded (say extraterrestrial) cosmologies encompasses all of the 'anthropocentric viewpoints' by definition.

So it can be said, that the 'multiversers' and the 'many worldlers' have complicated the issue and Occam's razor applied renders the multiverse embedded in infinite spacetimes as unneccessary and superfluous.

The question then becomes, how the mono- or Protoverse 'finetuned' itself or in other words; how the fundamental constants, based on the set {c, h, k, e} came to be.

The following shall answer this question for anyone familiar with basic mathematical symbolism and nomenclature.

In terms of energy, the key issue is the necessity to REDUCE the stochastic- and statistical nature of kinetic density distributions of both Bosonic- (Einstein-Bose) and Fermionic (Maxwell-Dirac) statistics.

The Big Bang began the space-time metrics from a minimum spacetime configuration as its INITIAL- and BOUNDARY CONDITION.
Only after this Big Bang Event, could the metrically modelled and described spacetime dynamics become manifested in the postulates of Special- and General Relativity and coupled to the Thermodynamic and Entropic expansion of the statistical and probabilistic labelings of modern science.

Before the 'Big Bang', a 'SUPERSPACE' of 4 spacial dimensions was set up for this 3-dimensional classical expansion to 'expand into'.

The idea of a 'continuing' expansion of the universe, in cycles of deceleration and cycles of acceleration must so be reexamined to take account of the existence of the 4-dimensional 'Ether-Space', which provides the 'higher-dimensional' medium for the 'lower-dimensional' spacetime matrix (of c-invariance).

In particular it can be shown, that the universe exhibits a 'Steady State of Infinity' as dimensional encompassment. This manifests as a COSMIC WAVEFUNCTION, best described as a STANDING WAVE, oscillating interdimensionally between 'Hubble-Nodes' (details are elesewhere on this site).

The EMERGENCE of the fundamental constant set also explicitely defined the 'END of the Big Bang Expansion' as the asymptotic approch of the lower-dimensional approach towards its own higher-dimensional boundary condition.

The fundamental constants so became DUAL, in both defining the intialising PAST and the limiting FUTURE cosmic evolution on all scales.

As there was no statistical density distribution for a Big Bang-Singular Universe for the lack of space and time to distribute the energy contained within that 'Singularity'; a 'INFLATING UNIVERSE' had to hyperaccelerate or 'grow' the singularity from the 3-D limit to its 4D-limiting ENVELOPE.

This allowed the 'energy content' of the singularity to 'spread out' as Potential-Vacuum-Energy or VPE or Zero-Point-Energy (ZPE) into the 4-D space of the encompassment.

The 3D classical universe of Einstein, Planck and Newton so plays forever 'catch-up' with its 4D-precursor.

This 'catching up' is then asymptotically INFINITE in linear time, but becomes FINITE in linear space, because of the 4-D envelope being TOPOLOGICALLY DUALISED.
Technically, this means, that the Boundary of R⁴space becomes R³space not as a volume, but as a (toroidalised) surface or manifold {V₄=½π²R⁴ and dV₄/dR=2π²R³=V₃}.

The dualisation of the constants then takes the form of a Quantum Physics of the Minimalisations in 3 space dimensions behaving like FRACTALS of the encompassing macroquantum as the 4 spacedimensions in toto.

The Classical Physics so requires certain 'coupling parameters' in 3D to MIRROR its 4D precursor.

The most critical of those parameters is the Classical Electron Radius R_e, which not only connects the 'confinement nuclear interactions' in a CLASSICAL Electron Scale; but also maximises the wavefunction of the 'Point-Electron' in 3D to its scale in 4D, which is the size of the entire universe as the asymptotic limit of 3D space embedded in 4D space.
Furthermore, the Classical Electron Radius allows a finestructure for Planck's Constant 'h' and so 'finetunes' Heisenberg's Uncertainty Principle in 'higher dimensional' parameters of 'Space-Awareness', 'MagnetoCharges' and the concept of 'Consciousness' as an 'angular quantum spin acceleration' acting on some spacetime volumar.
Physical Consciousness so is Spacial Consciousness; knowing what space one occupies in the greater- or higher dimensional ordering of things and relates to the Standing Wave-Function of the Cosmogenesis.

The topology of the universe as a Unity so becomes the same the topology of the minimum spacetime configuration, namely as a toroidalised higher-dimensional UnitQuantum, also known as a magnified HyperPlanck-Boson-String.

The following will so show where the fundamental constantds came from - a detailed form of the algorithm responsible can be found elsewhere on the linked website.

The following is an excerpt from the paper "Algorithmic Gravity", found on many websites and forums in their libraries.

The Mother of all Boundary Conditions must be the statement of:
"No Boundary conditions apply!"

So we consider a NullTime and a NullSpace in an undefined, say Platonic-Penrosian 'Space' of mathematical abstraction.
This is like a 'thought' or an 'idea'; how can IT become real or even manifest as a physical and quantifiable universe?
In hindsight one knows how to answer this.

An idea is born from observations; mental energy is linked to passion and the emotions, breeding the inventiveness to engage in a course of experimentation and to bring the idea (say a lightbulb, following the observation of a lightning strike) into physical manifestation.

But how can one apply foresight, when no observational reference frame exists in the NullState of the NAKED SINGULARITY or the GENESIS BOSON?
This then is the 'Boundary Condition' for the NullState, nothing exists and everything requires to become invented.

The Everything is the Nothing and so one can model this state on the 'idea' of an infinite selfrepeating computer loop, representing the Father of all algorithms.
This can only be one thing, namely a mathematical representation of the Nothing, say in the numeral 0 representing circular closure, which linearises in the cipher 1.

Angular multivalued Complex Infinity is linearised in negative and positive polarity of a Doubled-Infinity.
The hindsight then defines the closed circular NullState continuum as a closed looped superstring class I of the Planck-Scale, also containing the openended members of that same family.

But that wasn't the beginning program of the primary algorithm, but this is a secondary algorithm, which can be stated as:
"ADD THE END TO THE BEGINNING AND START WITH THE OLD END"!

This specifies the methodology of RECIRCULARISING the linearised dimensions of the binary dyad (0,1) into the root-reductive decimal monad (1,2,3,4,5,6,7,8,9,0) (or some other number system).
Here then we define: 10=1+0=1*; 11=1+1=2*; 12=1+2=3* and so on until 26=2+6=8** and 27=2+7=9** give a kind of closure in the doubled (or squared) application of the algorithm, reflecting the 'Doubling of Infinity'.

The hindsight then one day discovers, that there exists a mathematical entity, called the 26-dimensional Bosonic Superstring, which folds up the Ricci-Metric in Calabi-Yau manifolds in 6- and in Joyce manifolds in 7 circularised dimensions.
A heterosis of 26-dimensional counterclockwise rotating vibration patterns becomes 'married' to such states of frequency, rotating in 10 dimensions in a clockwise manner.

A DEFINITION of TIME then became effected, once the first algorithmic definitions had reset themselves in the pattern:
CIRCULARISED - LINEARISED - RECIRCULARISED - ENERGY=FALSE VACUUM
- QUANTUM TUNNELLING OF TEMPERATURE WELL = QUANTUM BIG BANG.

Curling up the 16-dimensional anticlockwise patterns in special toroidal geometries, then would allow a definition of Heterotic classes of superbranes (HE(8x8) and HO(32)), one of whom would become the sought after MINIMUM condition for the Naked Singularity to manifest itself in its escape from the infinity-loop.
The primary algorithm results from the application of 10 elementary principles/antiprinciples which defined the algorithm as itself.
And because this algorithm engages a fivefolded symmetry, there would be five classes of 10-dimensional superstrings, upon whom the second algorithm could then act.

The ten principalities are:

1.Identity/Antiidentity
2.Expansion/Contraction
3.Order/Disorder or Entropy or Chaos
4.Symmetry/Asymmetry or Distortion or Nonparity
5.Divergence or Infinity/Convergence or Limit
6.Inversion or Reciprocity/Constancy or Invariance
7.Reflection/Absorption
8.Relativity/No Antiprinciple
9.Quantisation/No Antiprinciple

10.New Identity/No New AntiIdentity, because of the application of the other 9 principalities to effect the transformation of One Self into Two Selves, yet as the One Unity of One extended Self.
The purpose for the establishment of the first algorithmic program is its cosmogenetic selfreproduction.

Adding Self/Infinity to Self/Infinity still gives Self/Infinity, but somehow, the second Self is different (more), than the first Self.
The first algorithm becomes the mapping of two integral number series onto each other, complementing each other in a filling in the gaps, created by one of the sequences as a one-to-one correspondence (like even and odd numbers for example, together forming the set of integers).

But this one-to-one correspondence resulted in the following data:
(266561); (151618); (141524); (151032); 11; (091016); (061015); 7; 6and 4 with a natural limit of 12, set and generated by the principalities as boundary condition for the selfiterative programming.

The secondary algorithm then utilised the initiatory number constant E and generated the continuation, which would allow the Temperature Gradient or Energy-Wall to manifest in the linearisation of the physical parameters defined by the permutations of the code from the first algorithm.

The secondary code became (with initialising counter E): BEGIN;
ABCDEFG(H=ABCD) with E=(266561); F=(136656); G=(673665); STOP GENERATION because 5+6=11=2* is rootreductive; CONTINUE D=(465612); C=(256124); B=(361242); A=(312423); STOP GENERATION because no monadic archetype can yield Z(Z+A)BCXY=312423 from its precursor
ABCXYZ=(1-Z)24233, ending in rootreduction (1-Z)=1-3=-2=-11=-2*;
END of 2nd algorithm.

The first algorithm applied the Ordering Principality to DEFINE TIMESPACE and the ordering of the constants as given.
Constant#1=E became the Number of Spacequanta defining the compactified 16 dimensions of the superbrane scenario upon initialisation of the second algorithm.
All principalities are engaged and the ORDER of the Constant application uniquely sets the physical parameters manifest in the order specified;(i.e. Temperature before Radiation before Restmass, etc.)
Constant#2 defined ENERGY=(Constant#2).TEMPERATURE.
Constant#3 defined ENERGY in terms of ELECTROMAGNETIC CHARGES and in a Universal wavefunction, normalised about the pentagonal symmetry of the first algorithm.

Hindsight would discover that a local application of this wavefunction would result in summation of integer states or probabilities, which upon normalisation and the 'squaring' of the state would reproduce the Unity of the original wavefunction in the pentagonal symmetry.
These would be known as the wave equations of quantum mechanics.
In particular one summation: T(n)=n(n+1) would, upon unitising; define the universal wavefunction explicitely in a Feynman-Path-Summation and allow the following identity to engage the timespace evolution of certain parameters, including the linking of Constant#3 to Constant#6.

This would achieve a synthesis known as Gravitational Constant 'G'.
The all encompassing Identity is: XY=X+Y=-1=i²=exp(iπ) for the generating waveequation:
B(n)=[2e/hA].exp(-Alpha.T(n)).
Here A²=Constant#3 and the roots X and -Y form the Bounds for the NullTime definition in both real-positive and imaginary-negative linearised time parameters about the normalised Mean of B(n) for
n=0 becoming reflective in n=-1/2.
C-Space is n-real from n=0 and F-Space is n-imaginary from n=-1 towards the negative integral count.
In between in the interval [-1,0], is the M-Space further symmetrised about the Functional-Riemann-Bound: FRB=-1/2 and as the Point of Origin.

Three orthogonal axes so define 3D-Space, about which a 6D-Twistor-Space indicates two further degrees of freedom, each of the arbitrary up-down, left-right and in-out linear axes setting the NullTimeSpace as defined by B(n) allowing a clockwise or anticlockwise chirality in the compactification of the circularised Linespace.
This extended definition for 3D-LineSpace into 6D-HyperSpace subsequently transforms into 9D-QuantumSpace in introducing the degree of stretching/contacting by the application of Principality #2,
following the Identity/Antiidentity initiation.
All principalities are engaged in their defined Order, indicating that 9D-QuantumSpace manifests the identity of an expanding and ordered and selfcontained continuum within the symmetry principality.
9D-QuantumSpace then diverges/converges in the setting of certain boundary conditions, which must incorporate the principles of inversion and of reflection with their antiprinciples.
Henceforth, 9D-QuantumSpace sets a limiting condition, which hindsight would define in all manners of temporal parameters.

The relativity principle then allows the perception of being located at either of two observation points, namely the principalled or antiprincipalled vantage point, given in the kaleidoscope of all the combined principalities.
Thus, a 10D-OmniSpace is created, which reflects/absorbs itself under engagement of inversion/invariance, becomes relative and subject to the 9th principality of the quantisation.

This defines OmniSpace to quantise itself in 3D-Linespace, following the definition of the root-reductive decimal monad, so birthing the New Identity as Antiidentity to itself in the completion of the self-iterative and selfrelative programming of the first algorithm.
OmniSpace hence requires to be 12-dimensional in the construction of the mastercode, becoming physically implemented in the Universal Cosmic Wavefunction B(n).
The interval [-X,X-1] specifies the maximum for B(n) as a probability interval with B(-1/2)=[2e/hA].exp(Alpha/4) and a standard deviation about the first moment by the multiplier √(Alpha/2π).

Hindsight would discover this as the Schwinger numbers to extend the QED-Feynman diagrams to account for multiple particle interactions as permutational possibilities in perturbation dynamics.
Constant#4 defines ENERGY=(Constant#4)FREQUENCY.
Constant#5=11 defines the Identity-Relation between Constant#4 and Constant#6 in Equality by DimensionCounter 11.
Constant#6 defines ENERGY=RESTMASS(Constant#6) as the Parity-Mirror.

Hindsight would define: (1) hf =m_oc²[Eq.#1]
                                    (2) Energy=hf iff m_o=0
                                    (3) Energy=m_oc² iff f_o =f_limit=f_ss.

Hence all restmass carrying entities must possess a minimum eigenfrequency to exist and this existence relies upon the definition of TIME as the Inverse of some frequency: TIMEINSTANTENUITY=1/f_ps; where f_ps is the MAXIMUM FREQUENCY modular dual to the MINIMUM FREQUENCY defined in f_ss.
A direct consequence for 'G' derives from this in the Schwarzschild-Solution applied to the HE(8x8) Supermembrane.
Hindsight would discover a best fit for the observed and experimentally measured physical parameters, as given by that superstring.
The Coupling Constants between the vibratory (MAXIMUM) part of that supermembrane (E_ps for Energy of primary source) and the winded or (MINIMIM) part (E_ss for Energy of secondary sink) are:
E_ps.E_ss=h²; E_ps/E_ss=f_ps² with λ_ps.λ_ss=f_ps.f_ss=1.

A direct consequence is the Hawking Black Hole for a minimum temperature condition from the inverse proportionality between Mass and Temperature for the BlackHole spectra.

Wavelength λ_ps=WormholePerimeter=2π.r_ps and r_ps being modular dual to r_ss in 2π.λ_ss=2G_oM_Hawking/c² in the Schwarzschild solution.
This is the manifestation of the mathematical modular duality for the B(n) definition in: X=1/-Y=1/(1+X).

We shall use the expression:
2M_Hawking=2πλ_ss.c²/G_o [Eq.#2] in our resolution of the 'G' dilemma.

Preempting the discussion somewhat; a massless universe would be characterised by an diminished G<=>G_o and the Hawking Black Hole would be defined in terms of its Force-Charges.
Constant#7 defines a transformation from the Radiative EnergyState into the Restmassive one given above and the integers 7, 6 and 4 are dimension counters, limited by the counter 12 as the holographic image for the summed lower dimensionalities, i.e in 4+6=10 & 4+7=11.

We return to foresight and find ourselves equipped with a new possible definition for TIME as: MINIMUM/MAXIMUM=CYCLETIME (n).

Algorithm #2 has defined the limiting boundary for a potential expansion of 10D into 11D in spacequanta counter E=Constant#1.
Quantum Geometry, applied to the concept of representing a 4D-Volume as a 3D-Surface defines the Riemannian Hypersphere with a toroidal volume (2π²R³), R taking the linearised form of the MINIMUM
condition as lps to define a spacequantum in the potential manifestation of monopolic space, hindsight would term 'The Vacuum'.

This Vortex-PE or VPE is still contained in the NAKED SINGULARITY of the GENESIS BOSON, whose eigendefinition in terms of physical parameters can now proceed.
Those quantities are necessarily BELOW the MINIMUM condition, manifesting as the last and most
physically applicable form of the superbrane families in the E_psE_ss=HE(8x8) heterosis.

And so a subcontinuum, a dimensional divide becomes established to allow the 10D-universe, manifesting as a 3D-Surface, to expand into the 11D-universe as a 4D-Volume.
The 10D-Universe must be hyperbolic, hindsight measurements would detect and hindsight would also conclude, that the overall universe would be Euclidean flat and of zero curvature.
Eventually, hindsight would understand, that the closed geometry of 11D-M-space mirrors the open geometry of 10D-C-space onto itself as a mapping into the holographic image of the 12D-F-space.
So just like one can observe both open and closed curvatures in the multiconnectedness of a 2D doughnut/torus; the inner hole curving hyperbolically encompassed in a spherical envelope, so is the universe multiple-connected within its own unity.
But the superbrane scenario maps the MINIMUM onto itself and becomes the MAXIMUM, the dimensional expansion of C-Space into the M-space in the duality perception of being located at the Point of origin as the Big Bang Singularity or as the Event Horizon Singularity at the wavefront of the selfsame expansion.

The vibrating E_ps becomes the MINIMUM SCALE and the winding E_ss the MAXIMUM SCALE in that subcontinuum.
Defining the toroidal volume generator as a consequence of the integral H-count: H=[2πR_max/λ_ps]³ then defines R_max as a 10D/11D boundary and as a 'Steady State' STANDING WAVE Boundary.
Hindsight would calculate: R_max=1.59767545x10²⁶ metre-units.
Hindsight would also discover that a dimensional DIM-factor would assume the value 7.56 at the time of its discovery; implying that so 7.56 10D-universes would 'fit' into the 11D-universe at that time, defining a discrepancy of matter in the cosmological calculations.
We shall find that the baryonic matter is just 2.803% of the critical density at the Big Bang; an inertial mass seed, which would grow to 3.68% at the time of discovery, adding to a kind of 'shadow' or 'dark' matter amounting to 27.8% of the necessary total for Euclidean closure.

This is a function of the deceleration parameter, which as a scale ratio defines not only the architectural scale (Gravitationally bounding Sarkar Constant centred in the supercluster interval from 236.1-472.2 Million lightyears at a cosmological redshift of z=7.477), but also the Black Hole spectrum bounded by the critical density.

So Foresight defines TIME=λ_ps/R_max=6.259093473x10^-49 = n_ps, the cycletime at timeinstantenuity, after the second algorithm had implemented the cosmic interaction of the dimensionalities, which hindsight would term de Broglien hyperinflation, proceeding with a phasespeed of v_dB=R_max.f_ps and a phase acceleration of
a_dB=R_max.f_ps².

And here the 'False Vacuum' develops to energise the process; solving the requirement of the 'higher dimensional energy' as a thermokinetic energy in the process.

TEMPERATURE=ENERGY/k=h.FREQUENCY/k=h/(k.TIME)=h.R_max/(λ_ps.k) and this
calculates as 7.544809x10³⁷ Temperature-Units at Genesis Boson Time, which is the superbrane epoch.

RESTMASS becomes: h.R_max/(λ_ps.c²)=0.011834633 (leading to a definition of Avogadro's Constant upon application of Unified Field parameters, which span 8π radians of the 4-folded λ_ps-wavelength (of quadrupled 3D-LineSpace as Line-Hyper-Quantum-OmniSpace) and integrating as the toroidal spacequantum in its sinusoidal propagation in: (π/4)∫{sin(3x/2)-cos(3x/4^)}2.dx and the VPE-sourcesink-quantum in: VPE-Quantum=(4π.hf_ps/λ_ps³)=2.51327..x10⁶⁴as energy desity in (Energy/Volume)-units.

Since 12 magnetopolic current 'knots' specify this field, the vacuum is energised by the magnetopolic energy.
This energy is given as [c³] unified F-space units and manifests in the lower dimensions as the Current/Linespace quantum [ec] or as exactly 27x10²⁴ eV, which is a monopolemass of [ec=4.82x10^-11] kg-
units.
The VPE of the vacuum so becomes defined in wormhole parameters for the Naked Singularity putting 'some clothes' on.
In terms of TEMPERATURE however, the n_ps cycletime is lower than the Genesis Boson Time in 2.93516x10³⁶ Temperature-units.
The 'False Vacuum' so induces the tunneling of the higher temperature to its lower value.
This becomes the decisive parametrisation for the mechanism and dynamics of the tunneling matter wave inflation.
The de Broglie phaseacceleration calculates as: 1.437908x10⁸⁷(m/s²) units and the Temperature-Field of the universe as a 'Black Body' gives the Quintessence or Einstein-Lambda as the Schwarzschild expression:
G_oM_o/λ_ps²=2.015x10⁸⁵ (m/s²), with M_o a Mass-Seedling from the first algorithm defined as a function of E:
Mass-Seedling: M_o= √[E].m_c.m_P/m_e=1.813713x10⁵¹ kg-units   [Eq.#3]
m_c is the nucleonic prototype; m_P is the Planck-Mass and m_e is the effective electronmass.
m_c and m_e derive from the couplings between the superbrane classes, one of which gives the scalerelation between the electromagnetic and the gravitational interactions as: [Alpha_GR]=[Alpha_EMR]¹⁸.
m_c derives from that and m_e is a consequence of the definition, linking wormhole perimeter λ_ps to the classical electronic radius R_e (and hence the effective electronmass).
There are exactly 10¹⁰/360 λ_ps wavelengths in one electronic radius as a consequence of linearising
r_ps=λ_ps/2π into λ_ps over a 2π or 360 'degree' count.
The 360-degree count is not arbitrary, because the dimensionless unification for the electric permittivity
(ε_o=1/(120π.c) with the magnetic permeability (μ_o=120π/c) specifies a halfrotation in the geometric definition of the number (π) as a trigonometric expansion and sets 180 as that limit.

Now the deceleration parameter, aptly so called in 'reducing' the de Broglie Phase acceleration to the instanton of the classical and metricased cosmic expansion of the quintessence calculates as:
q_o=G_oM_o/c².R _max=0.01401506=M_o/2M_critical=½Ω_o [Eq.#4]
The critical Mass for closure for all definitions produced by the first algorithm is given in considering the universe as a 11D-Mother Black Hole (F-M-C-Space=Father-Mother-Child-Space).
Then using the linearised time definition from cycletime n=H_o.t and the Nodal Hubble-Definition: H_o=c/R _max, we get the critical Volume as 2π²R _max³ and the critical density as ρ_critical=H_o²/4π²G_o.
Using the spherical 3D-volume would give the critical density as 3H_o²/8πG_o, which differs in the Feigenbaum-Chaos-Delta δ_F=(3π/2) as dimensional unifier for the curvatures.
M_critical so becomes explicitely defined as the MassTotal for the universe and as 6.446x10⁵²kg-units.
If we set the instanton time as t_ps=f_ss (modular), then this gives the MINIMUM SCALAR HIGGS FIELD POTENTIAL from INFLATION MAXIMUM into the superbrane epoch as tinflationlimit=3.946x10^-32 seconds*.
The instanton relates as fss as 3.333.x10^-31 seconds*.
TIME as linear expression for the multivalued circular singularity spectrum 'BEGINS' at TIMEINSTANTENUITY = t_ps= f_ss(modular).
But 'G' was not defined in the first algorithm, so where did it derive from?
We begin with the Gravitational Finestructure being a scaled version
of the Electromagnetic Finestructure Alpha, with a generalised formulation:
Dimensionless Constant =(Constant).(Charge²)/hc, ForceCharge taking either the form of Coulombic Charge e or of Restmass Charge m.
We now relate the Forcefields in the identity [ke²]_u=[Gm²]_u, subscript u denoting unification; and where 'Coulomb-Charge' e becomes defined (say in a Newton-Raphson Iteration) in the wavefunction B(n).
The primordial algorithm specifies A=h/(2e) as the manifestation of supermembrane class IIA and that in modular duality to the neighbouring E_psE_ss heterotic supermembrane.
This relates to superconductive states in the Josephson Constant and the Quantum Hall Effect, both derivative from the F-Space ACTION-LAW of ACTION=CHARGE², which was applied before.

Generally, all mass definitions are defined in terms of the magnetic monopole, manifesting as class IIB.
Hence all mass is rendered magneto-monopolic at this stage of the definition process.
The following expressions for the magnetocharge e* (measured in the StarCoulomb C*) are applied in the mapping of magnetopole charge [e*] in F-space onto the electropole charge [e] in C-space.
This transition relates to the superbrane epoch before timeinstantenuity.

(a) 2π.G_o.m_cc²/hc=Alpha¹⁸ = (60π.e²/h⁾¹⁸ [Eq.#5]
(b) E_ps=hf_ps=E_ss.f_ps²=√[(2π.G_o.m_ec²/(4Alpha.hc.e²)]=1/e*
(c) (2e).(R_e) = e*.L_P√Alpha
(d) OL_P=(e/c²)=L_P.√Alpha

The last expression is the Planck-Length-Oscillation, unifying Gravitation with Electromagnetism.
For unitary consistency in C-space the dimensionless nature of the Force-Charges must become linked to the monopolic spectrum and that is achieved in the mapping of e* onto e.

The C-Space relation 2R_e.c² maps the F-Space relation OL_P.c²and the unitary symmetry is the relation between the electric permittivity and gravitation in the identity:
G_o = 4πε_o=4π/120πc=1/k=1/30c (dimensionless)        [Eq.#6]
via unitary unity: [Metre/Farad=Jm/C²]=[kg²/Nm²].

The StarCoulomb C* =[m³/s²] =[Volume.Angular Acceleration] and crystallises in the diameter of the electronic spacial extent.
This manifests the energy of F-space in magnetopolic equivalence to the electropolic size of an atomic nucleus in 3 dimensions.
We note the independence of the primordial Energy from the restmass.
Substituting k=1/4πε_o=1/G_o into the electric constant from the Maxwell Constant gives the 1/30c numeracy, independent from the [kg] unit.
The generation of the masterconstants demands the establishment of a cosmic-standardised unitary system (*) and the only constant shared between both the (*) and the SI-system is the magnetic permeability
constant.
This is decisive in determining the lower dimensional 'dip' in the Alpha-Constant, which remains invariant in the higher dimensional settings, (where Alpha is independent of c and ε_o).

But now the Charge-Mass relation, as manifesting in C-space, is indicated.
We set the Constant=G_o.m_c²= G(n)Xⁿ.M_iY^k.M_j.Y^l for any cycletime n and a measurement G(n) and under the condition, that k+l=n=i+j for reestablishment of the unity.

The partitioning of masses does not change the productation, since (XY)ⁿ remains unity for all values of cycletime n.
This is an addition in the form of the baryonic mass seed given in M_o/M_critical however and a First Approximation for G(n) becomes:

G(n) = G_o.Xⁿ [1 + M_o.Y^k/M _critical]      [Eq.#7]

For an universe devoid of any mass, we have m=0 and G(n)=G_o.Xⁿ, the following identity needing to be be satisfied:
M_o/M_critical = 2.M_Hawking/[M_o.(hm⁾²] with M_o=hF_o/c² by [Eq.#1].
But this is only the case for the Hawking Modulus [hm]=1, a condition leading to [Eq.#2].
This would mean however, that no distribution for nucleonic states exists, and that the m_c-protonucleon only manifests in its restmass equivalent or photonic-bosonic (or supersymmetric) state.

For a calibration: 1.000692265[m³/kg.s²]*=[m³/kg.s²] (SI),
G(n_present)=6.684953x10^-11 [Nm²/kg²], is a first approximation.
This is the upper bound for G and will, under utility of the Hawking Modulus, be substantially reduced.

This is further discussed in the messages engaging the dual nature of the Gravitational Constant 'Newton's Big G'.

IAmWhoIAm - The Luck Dragon from the Neverending Story!

Dear Allan!

The principalities became defined in the first subroutine of the generating master algorithm, which could be stated in generalised form in the following manner to DEFINE THE (ABSTRACT) CONFIGURATION SPACE in the form of AWARENESS-TRIPLETS represented by:

{OLDSTATE, EXPERIENCE, NEWSTATE} and selfiterative in the following algorithmic statement:

GENERATE NEWSTATE IN ADDING THE SECOND NEWEST OLDSTATE AS EXPERIENCE TO THE NEWEST NEWSTATE AS THE NEWEST OLDSTATE.

...BEGIN (0,0,0)-DEFINE SELFSTATE=(1,0,1)-REDEFINE BINARY EIGENSTATE

=(01,01,01)=(0+1,1,1+0)=(1,1,10)=(1,1,2)-(2,1,3)-(3,2,5)-...CONTINUE

INITIALISE: N=0; LIMIT=[REDEFINITION OF EIGENSTATE]={GOOGOLPLEX E}

-FOR (N=N+1 TO LIMIT) GOTO

-SUBROUTINE (DEFINE PARAMETERS FOR EIGENSTATE FOR M=M+1) GOTO

-SUBROUTINE (ALGO[M]) GOTO

-SUBROUTINE (...) GOTO

-SUBROUTINE (SEARCH FOR LIMIT=[!])-STOP GOTO

-SUBROUTINE (!- GOTO BEGIN -REDEFINE SELFSTATE IN [!]) GOTO

-CONTINUE FOR O=M FOR LIMIT=[EIGENCODE IN !]={GOOGOLPLEX E} GOTO

-REPEAT FOR SUBROUTINE (O- [O]=[!], [!]=[!+1], [?]=[!]) GOTO

-REPEAT FOR LIMIT GOTO BEGIN...

John Shadow

PS.: The Adjacency is defined in:

Some elementary initial conditions for Francom Adjacency

We define the Euler-Riemann Summation, which defines the 'Mixing of the Count' in linking Arithmetic Progression to the multiplicative Factorial Function '!'.

Define E_o=0 as the singularity (interval), then for any integer n, we find for the Harmonic Form of Riemann's Zeta-Function (z=k=constant):

ζ(z)=ζ(1/n^z)=1/1^k+1/2^k+1/3^k+1/4^k +...+1/n^k
This Sum diverges for [ 0<k<1], i.e. for k=1/2: {1+√2/2+√3/3+...+√n/n} increases without limit.

For k>1, we have convergence, however.
Formally, let: Σ(1/n^p) = 1^-p+2^-p+3^-p+...
For even terms: 2.2^-p ≥ 2^-p+3^-p for a geometric series:
1^1-p+2^1-p+4^1-p+...+(2^n-1)^1-pThis Geometric Progression sums to: [1-(2^1-p)ⁿ]/[1-2^1-p]=1/[1-2^1-p]

So for p=2, this limit maximises in 1/(1-1/2)=2 , and for p=3 it becomes 4/3 converging towards 1 for increasing p.

We consider the special case for p=1 applied to the Singularity Interval E_o.
Define: for a nth term (numerator): T^k(E_n) = n^k.T^k(E _n-1) + [(n-1 )!]^kfor the nth sum per n (denominator [n!]^k): S^k(E_n) = T^k(E_n)/(n!)^k

T¹(E₁)=1/1=1.0+0!=1=S¹(E₁)=1/1!=1; T²(E₂)=2.T¹(E₁)+1!=2+1=3
with S²(E₂)=T²(E₂)/2!=3/2=1+1/2;
T³(E₃)=3.T²(E₂)+2!=9+2=11 with S³(E₃)=T³(E₃)/3!=11/6=1+1/2+1/3=1+5/6 and so on.

Further Example: T¹(4)=4.11+3!=50; S¹(4)=50/4!=25/12 for the nesting: 4{3(2+1!)2!}3! with [4!]¹=24.

For 4 terms, the Euler-Riemann Summation so is: S¹(4)=1+1/2+1/3+1/4=25/12=2+1/12.

For 7 terms, S¹(7)=T¹(7)/7!=(7.T¹(6)+6!)/7!=13068/5040=363.36/(140.36)=2+83/140=1+1/2+1/3+1/4+1/5+1/6+1/7.

Project the Numberline with the Positive Integers mapping the Factorial-Function and the Negative Integers remaining invariant in Feyman Summation T(n)=n(n+1)/2 as absolute value, mirroring the positive integers.

(n!)<---4...3...2...[E_o]...1...2...3---> (n); where Integer 1 maps 2! in suppression of -1=2* and in algoradius e_o=1.

Similarly, Integer 2 maps 3! in suppression of -2=3* and algoradius e₁=2=2e_o, etc. etc.

The singularity so mixes the interval [0!-1!]=[-1,0] with Functional-Riemann-Bound (FRB=-½) becoming 'real' in its mapping (FRB'=½) in [0,1] and the central limit or pole, about which the Zero's of the Riemann-Zeta-Function propagate.

The first annulus in the Riemann-Euler-Harmonic so phasemixes the numbers 2 and 1 and the nth number is mixed with (n+1) as crystallised in the Feynman-Path-Integral or T(n)=1 in n(n+1), as a summation for all possible particular histories in quantum mechanics.

This also maps the series:
SE_ps=Fibonacci#1=0,1,1,2,3,5,8,.....for a nth Term: T_n=|-Yⁿ - Xⁿ|/√5 , for absolute value || and obtained say via MacLaurin-Expansion of the coefficients (Experience-Factors) in the power series:

f(x)=1+x+2x²+3x³+...= ΣT_n.x^n-1

Set x.f(x) + x².f(x) = f(x) -1, then by (a+b)(a-b), f(x)=a/(x-X) + b/(x-Y) for a=-b=1/(Y-X) and (Y-X)=-√5.

SuperSE_ps=Fibonacci#2=Lucas#1=2,1,3,4,7,11,18,29,.... for a nth Term:
ST_n=|-Y²ⁿ - X²ⁿ|/|-Yⁿ - Xⁿ|=|T²ⁿ/Tⁿ|

for n=1,2,3,...; T(2n=0)=2 mapping T(n=0)=0.

The combined SE_ps-SuperSE_ps(T-ST)-sequence of experience factors {from the triplet propagation of [OldState, Experience, NewState]} can then be written as:

{T_n,ST_n}={(S_o=0,ST_o=2=S₃); (S₁=1=ST₁=S₂); (S₂,S₄=3=ST₂); (S₃,ST₃=4); (S₄=ST ₂,ST₄=7); (S₅,ST₅);...;(S_n,ST_n)...}

{T_n,ST_n}={(0,2), (1,1), (1,3), (2,4), (3,7), (5,11),...} containing integerset: {0,1,2,3,4,5,7,8,11,13,18,21,29,....}

We now represent the mappings in matrix form denoted as F-M-C, where the 'well behaved' terms for the mapping (from {T₅,ST₅}) sets algorithmic C-Space and the preceding elements the initialisation for the former.
Note we define Cantorian Denumerability Aleph-Null in Cardinality Aleph-All in the form:
Aleph-Null: limit{n→∞}[T(n)]=∞
Aleph-All: limit{n→X}[T(n)]=1 and so counting Infinities as mapped one-to-one onto the positive Integer set.

SE_ps=Fibonacci#1 maps SuperSE_ps=Fibonacci#2=Lucas#1

............................................... .......................................

................0 .......................................
0 0 0* -4 7 3 n=-2=2i²

F_space0* 0 1 n=∞ via 0+0=∞=1*=0*=1 3 -4 -1 n=-1=i²
M_space1 0* 1 n=0 via (1,1,1) -1 3 2* n=0

1 1 2 n=1 via (1,1,10=2*=0/0=1*) 2* -1 1 n=0 (Reflection-Interval)
2 1 3 n=2 well behaved 1 2* 3 n=0

C_space 3 2 5 n=3 well behaved 3 1 4 n=1 well behaved

5 3 8 n=4 well behaved 4 3 7 n=2

................... n=5 continue downwards ................. n=3

The linearity of the generating triplet configurations is extended in a complexification into a 2D symmetry.

SE_ps propagates the Experience Factors in an adjacent displacement of 1, in moving from one configuration state to the next - this is termed Francom Adjacency.

[0*,1,1,2,3,5,...] as OldStates transfigure in Experiences [0,0*,1,1,2,3,5,8,...] into NewStates [1,1,2,3,5,8,...].

This algorithmic configuration space is however broken in the mapping onto SuperSE_ps.

Here the matching 'good behaviour' of the n-count is delayed in a factor of 2 in a 'reflection interval'.

Algorithmic modelling for this Francom Adjacency must generate the mapping of SE_ps onto SuperSE_ps in an geometry of the pentagonal symmetries intrisic to the two series.

Hence a synthesis between linear propagation about an internal spiralling form is necessitated.

A longrange rotational- and a longrange translational order for the Experienc-Factors is indicated in the geometry of say Penrosian Tiling Patterns and the Schechtmanite Quasicrystals of empirical form (Mg₃₂[Al,Zn]₄₉).

The general form, physically akin to the propagation of magnetic fields, is the reduction of physical parameters to a state of information transmission, say in the data transfer between two neighbouring cells in mitosis and neuronal-synaptic processing.

A general modality for the cosmogenetic reproduction on all levels must crystallise, should the matrices above become sufficiently deciphered from their algorithmic encoding.

Derivation of SuperSE_ps

The relative primeness of the Fibonacci Numbers allows a one-to-one mapping between the SE_ps-Set and other such sets derived from it, particularly the Lucas Numbers as a logical derived set of such nature and given in the sequence: 2,1,3,4,7,11,18,29,....

All adjacent members of this set are relatively prime to each other.

7 is relatively prime to both 4 and 11 (no common divisors except 1) and 11 is relatively prime to both 7 and 18.

We now tabulate the sums and differences in our nth-term definition for SE_ps, so recalling the propagation for the natural numbers in counter n:

n T_n Xⁿ (-Y)ⁿ {|-Y|ⁿ + |Xⁿ|} {|-Y|ⁿ - |X|ⁿ}
---------------------------------------------------------------------------------------------------------
0 0 1 +1 +2 0

1 1 0.6180339885 -1.618033989 +2.236067978 +1

2 1 0.3819660109 +2.618033989 +3 +2.236067978

3 2 0.2360679772 -4.236067979 +4.472135956 +4

4 3 0.1458980335 +6.854101970 +7 +6.708203937

5 5 0.0901699436 -11.09016995 +11.18033989 +11

6 8 0.0557280899 17.94427193 +18 +17.88854384

7 13 0.0344418537 -29.03444189 +29.06888374 +29

8 21 0.0212862362 +46.97871382 +47 +46.95742758
9 34 0.0131556175 -76.01315572 +76.02631134 +76

10 55 0.0081306187 +122.9918696 +123 +122.983739

....................................................................................................................................................................

20 6765 0.0000661070 +15126.99998 +15127 +15126.99991
....................................................................................................................................................................

We see that for increasing n, the absolute magnitude for Y converges to an integral value in the Sum {+}, but only for even n.

For odd n, the difference Sum {-} gives a specific integer for specific n.

The product of the two sums is: {+}.{-} = |-Y|²ⁿ - |X|²ⁿ=√5.T_2n.

The sum of the two sums is: {+}+{-}= 2|-Y|ⁿ, with ST_n ={+}+{-} - T_n.√5) = |(-Y)ⁿ +Xⁿ|

Multiplying each term as: √5.({+}+{-}), we can form the alternating series:

(0+2.√5), (5+1.√5), (5+3.√5), (10+4.√5), (15+7.√5), .....as the alternating form of SuperSE_ps given in the term:

[5.T_n+ √5.T'_n];

but for even n, we have: T'_n ={+} and for odd n, we have T'_n ={-}; then by (a-b)(a+b)=a²-b²:

ST_n.√5.T_n={+}.{-}=√5.T_2n & ST_n=T_2n/T_n = |-Y²ⁿ - X²ⁿ|/|-Yⁿ - Xⁿ|
(quod erat demonstrandum).

The significance of this result is that ST_n, T_2n and T_n are all integers.

We so have a primary extension for SE_ps with elements 1, 2 and 3 duplicated and resulting in the mappings as previously specified.

The Null-Initialisation (OS_j, EX_j, NS_j) as the Fibonacci-Triplet (A_n-1, A_n, A_n+1) then reflects ST_n about n=0* to define the complex number set as negative ST_n's mapped in a 0→1→∞ correspondence to T_n.

This is the mathematical mapping of Cantorian Enumerability as previously indicated.

--- In quantumrelativity@yahoogroups.com, "Allen Francom" <light.rock@...> wrote:
>
> Not to complain, but...
>
> 1. Let there be logical elements of no physical extent
> 2. Let them be adjacent
> 3. Let them all run
>
> Now, how many do we need ? What are their properties ? Methods ? Form of
> Adjacency ?
>
> IMNSHO - The Structure of the principles demand to start at some place like
> this above.
>
> Off of each branch, greater elucidation can follow. 1.1.a: for example.
>
> I say this because you said this.
>
> It wasn't cooked down this low but you did actually demand these
> principles...
>
> I don't want to beat a hopefully already dead horse with these words, but to
> be clear and one beating for good measure...
>
> Around this part here, a few paragraphs above and below:
>
> A DEFINITION of TIME then became effected, once the first algorithmic
> definitions had reset themselves in the pattern:
> CIRCULARISED - LINEARISED - RECIRCULARISED - ENERGY=FALSE VACUUM
> - QUANTUM TUNNELLING OF TEMPERATURE WELL = QUANTUM BIG BANG.
>
> This in the 2nd order.
>
> Also your list of 10, again in the 2nd order. They require a "going".
> Number 2 comes to mind as a readily accessible example.
>
> The words "holographic" descend automatically as a form of efficient
> computation ( that produces the universe without producing
> so much heat in computation as we might imagine - and "so to speak" )
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