## Tuesday, October 21, 2008

### Facebook , Exchange Rates and the Singularity.

Facebook , Exchange Rates and the Singularity.
Andre Willers
21 Oct 2008

As requested .

Discussion :

Descriptive Axioms.
The principle underlying our description of the universe is heavily influenced by our physiology . The fire-nofire structure of neurons tends to an Aristotelian view with a delineated structure . But there are also concentration-gradients of chemicals (ie hormones , neurotransmitters, etc) which are not delineated except at molecular level (and not even at sub-molecular level) .

Axiom of Delineation .
We assume that it makes sense to talk of something separate of something else . In a non-trivial Universum , this means there are a lot of somethings , and they interact .

The way they interact can be described by exchange rates between the separate entities . Notice that this is the definition of relativity .

We use descriptions like energy , information , aledicnander , money , quantum levels , momentum , etc to describe the exchange rates .

Just to make things interesting , Russel , Whitehead , Godel et al proved that this is not internally consistent (ie there are “somethings” which cannot be delineated ).
Being humans , they promptly delineated them and used probabilities in a very loose fashion in wave-mechanics .

So , now we have exchange-rates not only between somethings , but also between non-somethings and all the various permutations thereof .

No wonder quantum mechanics drives them mad !

The metric .
The further thing we need is some way of counting (ie an Arithmetical System) .
The classical one is the Standard one we all learned at school .
Call it ArithII . Its distinguishing characteristic is that the number line does not circle
around and cross itself . (ie a+1 not equal to a)

If it does circle , it is known as an ArithI system .
ArithI plus at least one extra axiom can always be described by ArithII . Think of the extra axiom as the number where the ArithII line crosses itself , and/or the radius . One can add axioms with gay abandon , but the core of ArithII remains .

ArithI generates quantum systems , but these can always be related to ArithII + ExtraAxioms . This is the basis of present quantum physics .

Exchange rates .
See Appendix A . I am not going to go to the trouble of creating another example .
This example alone is enough to make anyone as rich as he wants to be .
In Warren Buffet’s terms , it identifies the Snowball .

The values in the table is the phase-space . Draw any line or curve through them and you describe the path of any system that can be described in two dimensions . Ie any delineated systems (A and non-A) in a non-trivial universe .

Sum the values in the table along the curve .

If the path is Beth(0) random , the value approaches 2/3 of the basic interaction .
Your attention is drawn to quark descriptions .

Charge .
The conclusion is that electric charge is a property of the symmetry break in Beth(0) exchange rates between particles .

Mass
The conclusion is that mass is a property of the symmetry break in Beth(n>0) exchange rates between particles .

Mass-Charge Relation .
The conclusion is that mass can be described as a function of Beth(n>0) of charge .
This translates as multiple crossings of the number-line in the phase-space .
Curlicues in the phase-space path .
This is equivalent to spin . (Multiple ArithI systems)

Gravity and Anti-Gravity
The symmetry-break means that this Universe will only have one type of matter (+2/3) . But we can have Beth(m) systems that curlicue in the negative return sections (ie anti-gravity) . These would be functions of mass-charge spin in very specific configurations .

Hint : See stable orbital configurations of two masses . There are hundreds known . Possibly an infinite number . Most are very fancy , the later ones with path crossings .

Summing all possible curlicues gives the value of G.

Inverse square law :
Note the x squared value in the derivation below in Appendix A .
This is derived from a Beth(0) randomness .
Beth(n>0) systems will deviate from this .

Singularity .
A workable definition :
The information flow between two delineated entities approaches infinity .
The bandwidth approaches infinity .

See http://andreswhy.blogspot.com “ Artificial Intelligence”

The traditional view of the singularity is of a small group using mind-computer interfaces to bootstrap up .

What is happening is that massive number of humans are interacting via social networks like Facebook (ie AI(3.0x) , where x->999999… to AI(3.1) ) .

The effect can be seen , as expected , first in Universities . New ideas and patents are ascribed to genuine idea-associations , not the old leader + team . This is a real effect .

The mechanisms enabled by things like Facebook , are bringing about a factorial increase in the number of interactions between groups and individuals .

This is the definition of increasing the bandwidth between AI(3.0) entities .
An example : it is faster and better to interrogate the AI(3) system to get a datum than to try AI(0) (memory) , AI(1) (ask someone verbally) , AI(2) (look it up in a book)

AI(3.1)
Mind computer interfaces are then phasing into existing structures without too much fuss . (Except for those outside it , who are left at an extreme and increasing disadvantage .)

AI(4)
There is a real discontinuity here . Quantum systems are inherently different from AI(3.1) systems . They are sufficiently different that we can assign a new dimension to them . We can then use the ExchangeRate mechanism (between AI(4) and the other AI’s ) to really ratchet up the gain .

When and how will this happen ?
Not by small patches . Whole segments of societies will move imperceptibly into the singularity .

Their exchange rates will use larger and larger bandwidth .
Capital (ie usable human knowledge) increases in proportion to bandwidth .

Time Travel .
Think of the phase-space below as being time-independent .
The only interventions locals would notice would be beth(1+) interventions .
Beth(0) interventions would be superfluous , since the system would already incorporate them .
Beth(1+) interventions does happen , but in true human fashion they are swept under the carpet .
Purely technological interventions are far between and extremely difficult .
The only ones I can assign some degree of confidence in is the magnetron in WWII and mass-production of spectacles in the 13th century .
The magnetron is a typical beth(1) technology . Rotation and constriction .
After 5 decades they are still stuck on the waterhole frequency . Even supercomputers won’t help . If they really understood this , they would have tunable lasers .
Hint : use genetic algorithms on the constriction structures and the accellerations of the rotating magnetic field .

Andre

Xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Appendix A

Table of % change in Rand Value of Rand-Denominated Foreign Funds
Andre Willers . 16 Oct 2008
See discussion in "Exchange Rates"

Formulae :
V(0)=N*R(0)*DOW(0) where V is rand value , N is number of units , R is rands a \$ will buy , DOW in US
V(1)=N*{ R(0)+dR }*{ DOW(0)+dDow } where d-prefix means change
{dV / V(0)} = {dR / R(0)} + {dDOW / DOW(0)} + {dR / R(0) * dDOW / DOW(0) }

Match every row j with every column I
The sum= 2 * (x^2) , where 0<=x<=1
Integrate dV : Value gained = 2 * 1/3 * (1)^3 = 2/3 of Base value .
The Base value is then 1/3 of total Value (ie the the reserve) .
See "Infinite Probes"

PercValueChange
= percExchangeRatechange + percDOWchange + (percExchangeRatechange * percDOWchange)/100

Table of % change in Rand Value of Rand-Denominated Foreign Funds
PercValueChange
DOW
Change in Exchange rate : %Increase in Rands one Dollar will buy .
Shares% -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-10 -19 -18 -17 -16 -15 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -6 -5 -4 -3 -2 -1
-9 -18 -17 -16 -15 -14 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -4 -3 -2 -1 0.1
-8 -17 -16 -15 -14 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -2 -1 0 1.2
-7 -16 -15 -14 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0 0 1 2.3
-6 -15 -14 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0 1 2 2 3.4
-5 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 4.5
-4 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 5 5.6
-3 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 5 6 6.7
-2 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 5 6 7 7.8
-1 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 5 6 7 8 8.9
0 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
1 -9.1 -8 -7 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 5 6 7 8 9 10 11
2 -8.2 -7 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 5 6 7 8 9 10 11 12
3 -7.3 -6 -5 -4 -3 -2 -1 -0 1 2 3 4 5 6 7 8 9 10 11 12 13
4 -6.4 -5 -4 -3 -2 -1 -0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
5 -5.5 -4 -3 -2 -1 -0 1 2 3 4 5 6.1 7 8 9 10 11 12 13 14 16
6 -4.6 -4 -2 -1 -0 1 2 3 4 5 6 7.1 8 9 10 11 12 13 14 16 17
7 -3.7 -3 -2 -0 1 2 3 4 5 6 7 8.1 9 10 11 12 13 14 16 17 18
8 -2.8 -2 -1 0 2 3 4 5 6 7 8 9.1 10 11 12 13 14 16 17 18 19
9 -1.9 -1 0 1 2 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20
10 -1 0.1 1 2 3 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21