Part 5 Chapter 26 Portland Noir The Inevitable Unfolding of Drama

The Inevitable Unfolding of Drama1

By Thomas McClure2

I. Introduction3

Einstein convinced himself the inevitable: "The … equations themselves unfortunately do not have the property of general covariance." (p. 201) That is, they did not share energy-momentum conservation and weak static field laws. In other words, an observer in arbitrary motion does not see laws the same as an observer moving in constant velocity. It was unavoidable.4

[W. Isaacson. Einstein: His Life and Universe, paper, c. 2007]5

The inevitable unfolding of drama holds that once the dramatic moment then the dramatic consequences result; or that backward timing from the event, one can discover the causes. Evil intent produces evil actions, portending.6

In the experiment with a balloon overhead shadowing the wave by enlarging or concentrating the floor shadows, one surmises that through time there is an overhead wave. But if those shadows are produced by a cameraman pulling on the tether to the balloon or releasing it to rise - his hand through time a circular wave - then what appears by surmise as covariant is not.7

If a hand movement may produce NOIR drama by the director, then what appears by surmise is a magician's trick. We see and believe but in truth, there was no wave above, only one balloon rising or falling, and one shadow increasing or decreasing its radius in front of our camera lens.8

It is very much so, like the ship that disappears over the horizon. On the other hand, when we see starlight bending around the sun, giving a false position of the star, the sun as a lens deceives our sight, bending the light, or the image we see. Were there hot steamy rain clouds over the vanishing ship, we might see it as a mirage, again deceiving our sight, from the real.9

What in drama is inevitable or unavoidable may locally become variant or locally invariant. It is like some intermittent effect, on and off, like a light bulb flashing in the wind, its circuit breaking and connecting, giving us flashes of intuition or shadows of a type, portending the future. A second face in the mirror, a false bending of the light, suggests fate, our fate.10

This double view proves unsettling to our stable minds. We see the two characters in a conflict of fact and fiction; lies and damn lies; deceit and duplicity. We are shocked that she is both daughter and father's lover. The face on two boxers is the same; the repeating scenes are the same. We long for resolution of conflicts, paradoxes and park paranoia in our characters.11

II. A mathematical inevitability using constants and variables12

A simple equation for hyperbola is: (p. 120) [c  0]13

xy = c, where c is a constant and x, y are variables.14

[F. Nowlan. College Algebra, 1947] [A. Dressler. Voyage to the Great Attractor, c. 1994]15

Taking the equation for energy, e, and mass, m, and light constant, c,16

E = M*C^2 ; {C = 186,286 miles/second} (pp. 116-117)17

E/M = C*C {C/2 = 150,000,000 meters/second} {60 m/h = 96 km/h}18

C = root (E/M) {300,000 km/186,286 miles = 1.6 km/mi ; .62 mi/km}19

Ln C = [ln E - ln M]/2; hence, ln C is a constant, half delta{ln E, ln M}20

x = E; 1/y = M; C = constant in km/sec {300,000} ; 21

{(kg/sec)/(kg/km)} ^2 = (km/sec)^2; E/M = C*C22

Now mapping this hyperbola through time produces a wave.23

It is the folding and unfolding of plot that produces drama. It is through a huge weak lens like the sun that we see this dramatic conflict of wills. But it is only a surmise of this wave from the shadows enlarging or decreasing in radius from the lengthening of the balloon's tether or its shrinking that we see what we want to see in the characters. It is our own deceiving sight.24

Gravity is an illusion; space and time mere shadows; mystery. (pp. 116-122)25

III. Logistic Map Simulation 26

The equation of a logistic map is an iterative one. (p. 213)27

x next = a x initial [1 - x initial] and dividing by x next gives28

1 = a z [1/x next - z], where z = x initial/x next. Take the case where 29

1/x next = 1, then 1 = a z (1 - z), that is x next = 1. 1/a = z [1 - z] is a form of c = x y, when c = 1, x = z; y = [1- z]. See above equation for hyperbola.30

[G. Farmelo. It must be beautiful: Great Equations in Modern Science, c. 2002]{a = 4.6692, change between (p. 222) smooth flow and turbulence.}31

Given an x next = e^1, then32

{e^1 = ax * [1 - x]; 1 = ln ax + ln [1 - x]; let ax = c; x = l; 33

a = c/l {1 = 5/2 log ax + 5/2 log [1 - x] ; .4 = [[1 - b]log c +
b*log[1 - l]]34

{let ax = e^[[1 - b]*log C] and [1-x] = e^[log [1/C]], 35

then e^1 = ax*[1-x]}36

{e^1 = [e^[1 - b]* log C]* [e^log [1/C]* b]] ; 37

Hence, a logistic map simulation is also a special case: 38

Economics Nobel Prize Equation.(2004)39

{let ax = e^[1 - b]* C and [1-x] = e^[b/C], then e^1 = ax*(1-x)}40

2 + e = 2 + 2.718 = [4.6692] + .0488 = 4.00 + (.618) + .0512 41

2 + e - 2 = 2.718 = e = {2 + (.618) + .0512} = ax(1-x) = ac(1-l) = 42

(5/2) * 5(1-2) = -1*(-E) (2.5) = + (2.5)E ,43

where E = 1.08, 2.718 = 2.5*1.08; e^1 = 10^.444

The number in brackets is the value of a when flow becomes turbulence. The number in (.618) is a number such that 1/.618 = 1.618 from the Golden Rectangle and the Golden Spiral from a logarithmic curve.45

IV. Conclusion46

We are viewing history as a wave of an unavoidable or inevitable drama. It is the wave of the cameraman's hand through time. We can reverse time to view the root causes behind this inevitability. With non-Einsteinian models we can see momentum equal matter and space-time in a moment. Riccian flow backwards creates economic and heat waves through time to its causes.47

Appendix48

V. Mathematical Wave Theory49

The Collapse of the Elliot Wave Function: Applications to History Drama50

By Thomas McClure51

I. Introduction52

Moldova is the poorest nation in Europe, but it produces white wine for53

import into Russia. It is a heat plane, where the heat equation decrees54

changes in whether, changes in temperature, changes in wind velocity,55

changes in pressure, changes in rainfall, and changes in wine output.56

This white wine is fermented and filtered at temperatures that require57

cooling if global temperatures rise. This last year drought was widespread58

where 86 percent of the areas were severely affected.59

This paper seeks to derive the equations of heat, temperature and pressure60

from basic premises and to apply them to this heat plane.61

Equations that begin with Planck's constant and proceed to Navier Stokes,62

including Schrödinger and Einstein equations of Physics.63

These equations will be seen to be backward Black-Scholes, Nash, Bayes and64

Elliot wave functions. [www.nytimes.com/Moldova]65

The collapse of the wave function is the juncture where particles become66

waves and vice versa. The particle and wave explanations are equivalent67

descriptions of matter and energy in quantum theory.68

II. Planck's Constant69

Planck's constant, h, appears as a proportion in70

E = h*f.71

(p. 2) ". the equation relates the energy E of each quantum to its frequency72

f .." [G Farmelo. It must be beautiful: Great Equations in Modern Science,73

c. 2002] "The wavelength is simply the distance between any two consecutive peaks of the wave and the frequency is the number of times it [vibrates] up and down every second." (p. 4)74

"The interaction of this single light quantum with the electron locates the75

electron at that moment. This is known as 'the collapse of the wave76

function' because the measurement system (light quantum) and the system in question (electron) reduces the electron's previously spread-out wave77

function to a certain well-defined region of space." (p. 98)78

The collapse of the Elliot Wave Function refers to a theory of wave79

principle in financial charting, where an Elliot Fibonacci sequence number80

is reduced to a Fibonacci prime number and golden ratio.81

Machean Levels refer, like quantum jumps, to ratios with prime denominators that result from Bayesian theory and Nash equilibrium explanations of trading stocks and commodities like currency. Black-Scholes is a method for computing volatility in stock options. It is a kind of backward Ricci flow model, where the heat equation overlaps.82

Navier Stokes is a heat equation derived weather model of wind velocity and83

gradient pressure that is derived from Planck's constant.84

The Schrödinger equation looks like Planck's constant equation.85

H Y = E Y ,86

where Y (psi) is a wave, and E is an energy and H is an operator. It may be87

rewritten88

H Y = (i*h/2p ) * J Y / J t89

where i is the imaginary number, h is Planck's constant and p is constant, J90

Y is a partial derivative of psi with respect to J t, or a partial91

derivative of time. (p. 264)92

III. Ricci Flow and the Heat Equations equivalence93

and after some elementary manipulation, we obtain an elegant expression for the Ricci flow:94

[partial] (log p)/[partial] (t) = [delta] (log p)95

This is manifestly analogous to the best known of all diffusion equations,96

the heat equation97

[partial] (u)/[partial] (t) = [delta] (u)98

where99

[[delta] = D(sub x)^2 ++ D(sub y)^2]100

now is the usual Laplacian on the Euclidean plane.101

[http://en.wikipedia.org/wiki/Riccifflow]102

IV. Planck's wave equation equivalent to Ricci and Heat Equation103

Rewriting Planck's wave equation has the term of J Y / J t. This is104

equivalent to the term 105

{[partial u]/partial t and [partial (log p)/partial t}106

in the Heat Equation and the Ricci Flow Equation above. A Laplacian operator resembling H operator takes the delta (u) and delta (log p).107

Ricci Flow is where u = log p. So far, so good. Ricci Flow is also the Ricci108

Tensor,109

Rab, that has a scalar curvature R. (p. 65) This is the Einstein110

equation for general theory of relativity,111

(p. 49) where:112

Rab - 1/2 * R gab = - 8 p G Tab113

"Einstein's field equation tells us how space-time curvature (left-hand114

side) is related to the distribution of mass in the universe (right-hand115

side)." (p. 49) And since mass m is related to energy E in Einstein's116

E = mc^2117

(p. 41)118

E = h*f119

H Y = (i*h/2p ) * J Y /J t120

J Y /J t = (2p /ih) * H Y121

Y = u = log p122

J u/J t = (2p /ih) * H u = D u123

Einstein later added a cosmological constant called D so that times gab124

Rab - 1/2 * R gab +D gab = - 8 p G Tab125

(p. 75)126

This is to create a local or static model of the universe not expanding.127

V. Singularities without a cosmological constant128

The Ricci Flow also has singularities without such a cosmological constant129

as well as the Heat Equation, and by implication Planck's130

Equation and Schrödinger's Equation. Since the Ricci Flow involves a log p,131

it is implied that the logarithmic function also has singularities or132

discontinuities or undefined local areas. Such a backward Ricci Flow is the133

Black-Scholes that has known singularities in volatility in options.134

Navier Stokes is a heat equation which relates wind velocity and gradient135

pressure. Nash equilibrium in Bayesian Statistics of financial bidding136

provides an Elliot Wave Function in Golden Logarithmic Ratio.137

The Golden ratio is a Fibonacci series function such that the reciprocal of138

a number C is equal to the number C plus one. "Phi is the only number that139

when added to 1 yields its inverse: .618 + 1 = 1/.618."140

(p. 96) It is also true that (C + 1) = .618/(1 - .618) = 1/.618 from141

.618^2 = 1 - .618 Thus there is a number of near Golden ratio.142

In general b = C/[C + 1] and C = b/[1 - b] and 1 = [1 - b] * C + b/C143

when C = 1,b = 1/2 =.5;b = .618, [1 - b] = .382, C = .618/.382 =1.618144

". the tail of a comet curves away from the sun in a logarithmic spiral."145

(p. 105) "The Elliot Wave Principle shows up clearly in the market because146

the stock /market is the finest reflector of mass psychology in the world."147

(Pp. 120-121) "The briefest way to express this principle is a simple148

mathematical statement: the 1.618 ratio."149

(p. 122) [R. R. Prechter, Jr.; J. F. Frost. Elliot Wave Principle, c. 1996]150

VI. Application to Moldova Temperature and Finance151

The purpose of this review of equations of physics and mathematics is to152

derive equations of the heat plane and apply them to weather, wind velocity,153

pressure, temperature and finance in white wine production.154

A review of cavity radiation is helpful to understand global warming155

temperature. The earth is surrounded by a layer of oxygen that shields life156

from ultra violet light in solar radiation. Radiation through this layer is157

reflected from the earth's surface back to the layer. A certain temperature158

varies because of the tilt of the earth's axis either nearer or farther away159

in orbit around the sun. Holes in the layer at the poles allow heat to160

escape. At normal temperatures, the color of the hole is black. But as161

temperature heat up, the color changes to different wavelengths. This162

black-body radiation becomes cavity radiation.163

The intensity of the cavity radiation is temperature energy E = h*f.164

This is the Planck's constant h. (p. 7) (G. Farmelo) This is also a model of165

Bohr's atom with energy levels or values in discrete numbers. (p. 18)166

" finite number of energy quanta localized at points in space as167

complete units." (p. 13) "gas of radiation." " . Whole-number multiples168

2hf, 3hf, 4hf, etc." (p. 15) (Pp. 230-252) (Pp. 212-229)169

The difference between energy levels and Machean Levels is that the latter170

vary as the whole-number prime multiples 2, 3, 5, 7, 11, etc. That is171

because they are selected randomly from the whole-number sequence in the172

equation for the summation of 1/n = pn/(pn - 1)173

where n = 1, 2, 3, 4, etc. Summation equals 1 + 1/2 + 1/3 + 1/4 . =174

1 3/4 + 1/3 . = 1 11/12 = an increasing sum. Decreasing term = 2 * 3/2175

* 5/4 * 7/6 . = 3*5*7/2*2*2*3. = 5*7/8. = 4 3/8. 176

This summation and product is due to Euler. In addition, the Fibonacci sequence of a summation of two terms in a series that sums to the next term is such that a prime number series Fibonacci number selects a prime sequential number, with the exception of F4. For example,177

0 1 1 2 3 5 8 13 21 34 55 89 144 such that the prime Fibonacci is a prime178

sequence number: 2 F3, 3 F4 (exception) , 5 F5, 13 F7, 89 F11 etc. Composite179

Fibonacci numbers select composite sequences.180

F0 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12181

0 1 1 2 3 5 8 13 21 34 55 89 144182

The value of Machean Levels as prime numbers is that random sequential sum numbers select sequential prime product numbers.183

These prime numbers are the numbers selected by prime Fibonacci numbers,184

such that a Fibonacci prime of 13 selects a prime sequential of 7 which is a185

prime Machean Level. By selecting random numbers, 1, 2, 3, 4, etc., it186

selects sequential prime numbers which selects Fibonacci numbers. Also the187

composite Fibonacci numbers are not selected because there are no composite prime sequential numbers.188

Hence, Machean Levels indicate the gaps or composite numbers in the189

Fibonacci sequence, which cannot be selected randomly. These gaps present190

trading opportunities, discontinuities, or singularities. A F4 is a191

composite that is an exception relating to 3 (three) a prime Fibonacci term.192

Hence, selecting Fibonacci primes is simply selecting randomly.193

One cannot select a Fibonacci composite because the selector nulls.194

So it is a matter of counting in discrete divisions on a chart. Only the195

prime divisions are electable randomly, while the composite divisions are196

unelectable randomly. And these unelectable are also composite Fibonacci197

numbers produced by a spiral logarithmic curve. Machean Levels as prime198

numbers follow Fibonacci prime numbers, as do the composite gaps between199

primes follow the composite gaps there too.200

Simply, Machean Levels are selector sequential numbers for a Fibonacci201

series, where primes match and composites match. Where there are gaps or202

composite numbers between primes in one there are also gaps in the other. In addition, the primes are selected randomly.203

Einstein simply derived his special relativity field equation from four204

principles, one of which is "That radiation has momentum . (It is, for205

example, sunlight that pushes the tails of comets away from the Sun.)206

(p. 38) The curve of the tail is a logarithmic spiral noted above.207

From this he deduced208

E = mc^2209

This is where we started with energy conversion and radiation. (p. 41)210

The Sun's radiation has a tidal effect of gravity on the earth. (p. 54)211

In atoms quantum jumps produce radiation in discrete amounts. (p. 84) These bursts of radiation are discontinuities; " . a burst of light corresponding to radiation at a particular wavelength". (p. 85) (1925)212

Should we take this random bursting of light as radiation at a particular213

wavelength. Then we can use temperature as cavity radiation to trigger the214

Machean Levels randomly. Such that the Fibonacci selector produces a series,215

that creates spiral logarithmic curves.216

These curves are those related to waves in wine production charts.217

A model of temperature and wine production should then be related to the218

physical universe of the global warming inside a cavity called the219

greenhouse or inside the oxygen level or atmosphere of the earth.220

As the global warming increases the intensity of the energy increases inside221

and through the holes at the poles or the cavity radiation. This random222

bursting of light in discrete packages produces sequential numbers that223

trigger the Machean Levels or prime numbers in Euler products that match the Fibonacci series of prime terms and identifying the gaps or composites in224

these terms. A spiral logarithmic curve may be produced (which like the225

curve of the comets is the result of tidal effects of gravity from the Sun226

on the earth) that is manifested in production of wine in Moldova, as well227

as Australia, data shown.228

In Moldova white wine production involves both fermentation and filtering229

that are dependent upon a narrow range (3°C) (13-15°C) (15-18°C). Cooling or refrigeration during 1.5 years of aging maintains this temperature230

restraint. Obviously, any Global Warming will be costly in maintaining this231

temperature, requiring extraction of heat from the mix of wines during the232

processes. This heat extraction is expensive.233

Also market of products is limited to imports to countries that drink from234

bottled wine, the largest importer is Russia. Placing wine into chilling235

cooling or refrigeration may mean exporting in metal cans.236

VII. Heat equations may be modeled with Temperature and Price:237

P = 1/T + (b1WineOutput/Hectare + b2ArabaleLand +b3RainFall + e)238

Since b1, b2 and b3 vary with geography across all areas of Moldova,239

The model is an area design related to the geometry of a right triangle,240

such that c*c = a*a + b*b, with c being the hypotenuse. For example, c = 5,241

5*5 = 4*4 + 3*3. But consider a right triangle with c = root(5), a = 1, b =242

2, 5 = 1 + 2*2 If 1/C = 1 + C, then C*C + C - 1 = 0, a quadratic. This is243

the solution of the golden rectangle problem.244

C = [-1 +- root[1 - 4*(-1)]]/2 = [-1 +- root[5]/2 ; C is then a function of245

the sides of a right triangle, such that the hypotenuse minus one side and246

divided by the other side is a value C that is golden above.247

This right triangle is also one half of an isosceles triangle that covers248

the area over the map of Moldova in question for the spiral logarithmic249

curve. Hence, we should see a further model equation of250

1 = [1 - b]*C + b/C, when the area is mapped, when C = .618, b = .618251

.382 * .618 + .618/.618 = 1 + .236 = 1.236 and if 10 Lei is basic unit price252

and 10 Cº is basic temperature, 253

then {e^1 = [e^[1 - b]]* C] * [e^[b]]/C]}254

{This equation is similar to the Economics Nobel Prize Equation.}255

{e^1 = ax * (1 - x); 1 = log ax + log (1 - x); let ax = c; x = l; a = c/l}256

{let ax = e^[[1 - b] C] and (1-x) = e^[[1 - b] / C], then e^1 = ax*(1-x)}257

P = 12.36 MDL = .618*(3.82 + 10/T), T = .618 1/Cº; 10/T = 16.18 Cº ; so P = 12.36 MDL = .618*20 Cº = 2.36 + 6.18/.618 Cº258

P MDL = 2.36 + 10/T Cº = 10/T Cº + (b1WO/H + b2AL + b3RF + e)259

and we can set the denominator of b = C/(C + 1) as a Machean Level for260

trading in gaps, because the b value is a Bayesian Nash equilibrium for261

bidding. b = .618/1.618 = .382 and C = b/[1 - b] = .382/.618 = .618. This262

produces a series of golden triangles inside a golden spiral.263

Look at the drought map of Moldova to see this spiral effect.264

VIII. Demonstration of the model265

The model must be demonstrated with maps of Moldova temperature and white wine production, similar to the Australian map. 266

The collapse of the Elliot Wave Function appears at the red dots and267

below the green wave in the reconstructed series in Australia data.268

This model also uses weather data and currency data over years prior to the269

profiling of the area through interviews with winegrowers and producers by a field team using Moldovan/Russian survey interviews.270

Note that the drought areas circle the capital Chisinau. This is the spiral271

effect of the model. Of the 20-30 wine suppliers in the survey, they will be272

located on the map showing the drought. Wine Output per hectare is a data273

variable in each area, as well as arable land and rain fall. b1 b2 and b1274

coefficients shall be chosen such that the average total of (b1WO/H + b2AL +b3RF) = 2.0 with e = .36 or 1/3 percent.275

The units of 2.36 are Cº so the units of () are b1 H/WO Cº b2 1/AL Cº276

b3 1/RF Cº. Hence, MDL = Cº, which means that financial units are a function277

of temperature degrees. Finally, the model is reversed:278

1/T = P - f(b1, b2, b3, e) so as to say that as temperature increases in279

Moldova then Prices decrease minus a function of b1, b2 and b3 randomly or280

stochastically. A random variable e selects Machean Levels so that Fibonacci281

primes and composites are spun out in logarithmic spirals. These covary with282

temperature that is also a discontinuous discrete packet phenomenon283

reflected in earth cavity radiation.284

IX. Conclusion285

This weather model chooses a heat equation and Navier Stokes modeling of a heat equation equivalent to Ricci Flow as a reflection of Einsteinian and Planckian wave equations in Physics and Mathematics.286