Saturday, April 6, 2024

Names

 

The Name Game

Shirley! Shirley, Shirley Bo-beer-ley Bo-an-an fanna Fo-fer-ley Fee-fi-mo.-Mer-ley Shirley!

“What's in a name?That which we call a rose by any other name would smell just as sweet.”…..Or
“Her name was Magil, She called herself Lil, But everyone knew her as Nancy.”

If you look at my user profile, you will see my name is Daniel Beagan. My late father was also Daniel which meant that when I was very young, I was called “Little” Dan while my father was “Big” Dan. This lasted until I was a teenager, and it became obvious that I was going to be taller than my father. At that time while I was living at home, I was called Danny, a diminutive of Daniel, and my father was called Dan. It was not until I left home that I also became Dan. Beagan means “little” in Gaelic. That means when I was very young my name could be translated as Little Dan Little.

Daniel in Hebrew means God’s (-iel) Judge(Dan). Which means that my name translated is Little God’s Judge Little. Grammatically, it could be questioned as to whether the first Little modifies God while the second Little is a modifier of Judge. In order not to not be blasphemous. I prefer to think that little modifies judge in each instance. Which means that my name could be translated as God’s Little Judge. You hear that, Harlan Crow. Where is my bribe? Tens and twenties please!

Wrong, but Useful

 Think

I ain't no psychiatrist, I ain't no doctor with degrees But, it don't take too much high IQ's To see what you're doing to me.

I also ain’t no doctor with degrees, but Dr. Nash meet Pythagoras and Dr. Einstein

The two equations with which most people are familiar are probably: 

  • c2=a2+b2, Pythagoras’ Theorem for the hypotenuse of a right triangle; and
  • E=mc2, Einstein’s formula for energy. 

Most people are also aware that the c s in these equations are variables which represent different things: 

  • the hypotenuse in Pythagoras’ Theorem, and 
  • the speed of light in Einstein’s formula.

What most people do not realize, is that BOTH equations are actually for triangles: Pythagoras’ Theorem by definition, and Einstein’s formula as an outcome of its Triangle of Energy,             E= (mc2)2  = (mvc)2 + (m0c2)2. Further, if m=m0/ϒ, and the terms are simplified, then Einstein’s Triangle becomes ϒ2=1 - v2/c2. Both equations ignore any consideration of the imaginary plane. If they are treated as complex numbers and the imaginary plane has a coefficient of zero, they should be c2=a2+b2+02i and ϒ2=1 - v2/c2+ 02. Their solution on an elliptical or flat surface is the conventional c=√(a2+b2) and ϒ=√(1 - v2/c2). However on a hyperbolic surface there would be two solutions.            

c=ln(cosh( √(a2+b2)) ± sinh( √(a2+b2))), or ln(0 ± 2cosh( √(a2+b2)))
and     
c=ln(cosh(-√(a2+b2)) ± sinh(-√(a2+b2))), or ln(0 ± 2cosh(-√(a2+b2)))

for Pythagoras’s Theorem, and            

                               ϒ=ln(cosh( √(1 - v2/c2)) ± sinh( √(1 - v2/c2))), or ln(0 ± 2cosh( √(1 - v2/c2)))
                                                                               and     
                               ϒ=ln(cosh(-√(1 - v2/c2)) ± sinh(-√(1 - v2/c2))), or ln(0 ± 2cosh(-√(1 - v2/c2)))

for the factor of relativistic dilation, which is the Loretz Transform on a flat Euclidean Surface.

Since cosh(x) is an odd function, that is cosh(x)=cosh(-x), both solutions are the same and there is thus effectively only one solution. If at the origin of (0,0,0) there is also a rotation of the coefficient of the imaginary axis in the transformation of coordinates as a complex number, then according to Euler’s’ formula, the coefficients of the imaginary axis, sin(0) and sin(π) are both zero, but the coefficients of the real axis will be cos(0)=1 and cos(π)=-1.  Thus only with a rotation of the imaginary axis by π radians can a function pass though the origin from one sheet of a two-sheeted hyperboloid to the other sheet if this volume is formed by rotating a hyperbolic surface about the imaginary axis. It is proposed that any function passing through the origin from one sheet to the other requires a rotation by π radians at the origin. An input of zero for the natural logarithm, ln, has a value of 1. Thus the range of the solution for in the positive sheet of a two-sheet hyperboloid for Pythagoras’ Theorem is 1<c<1+ln(2cosh(√(a2+b2))) and for the  relativistic dilation factor is 1<ϒ<1+ln(2cosh(√(1-v2/c2))).   In the negative sheet for Pythagoras’ Theorem it is -1>c>-1-ln(2cosh(√(a2+b2))); and for the  relativistic dilation factor it is   -1>ϒ-1-ln(2cosh(√(1 - v2/c2))). The midpoint, average, of these ranges is in each sheet is, respectively, √(a2+b2) and √(1 - v2/c2) preceded by a  negative sign in the negative sheet and a positive sign in the positive sheet. From the perspective within each sheet, all values would be positive, including this midpoint average.

Assuming that the universe is a hyperbolic surface as proposed by Mabkhout (Mabkhout, 2012) appears reasonable and consistent with this analysis. Mabkhout proposes that if Einstein’s tensors  are re-solved for a hyperbolic surface, then there is no need to resort to Dark Energy or Dark Matter,  and the inflation after the Big Bang at the origin appears to be a consequence of the hyperbolic surface. He also proposes that the hyperbolic solutions are consistent with the age and size of the universe at large scales, and the Planck Energy and Planck Length at quantum scales. 

It is noted that a range, uncertainty (as in Heisenberg’s Uncertainty Principle), also appears to be an outcome for the solution on a hyperbolic surface. Pythagoras’ Theorem and the Lorentz’s Transform are merely AVERAGES of the ranges of uncertainty required by the hyperbolic solutions. When the uncertainty in the solutions is small, then the values introduced by imagination can be ignored. However at a scale of 2/3 of the absolute, uncertainty becomes too large to be ignored. At 5/6 of the absolute, the average approximations of the midpoint of the ranges are no longer useful. 

The values of 2/3 and 5/6 are consistent with n individuals acting as a single system, called a Nash Equilibrium after mathematician John Nash. For a normal random function of the absolute, for example the hyperbolic secant squared, or logistics, distribution, the mean/median, µ, is one half of the absolute. Zero is that mean minus 3 Standard Deviations, σ.  Between 0 and µ-2σ there is a small value for the approximation and a large uncertainty. Between µ-2σ and µ+2σ are almost all of the solutions and the uncertainty causing an error from this approximation is small. Only between µ+2σ and µ+3σ, which if µ is ∞/2 and µ-3σ is zero, 1/∞, then µ+3σ is , the absolute, and σ=∞/6, is the approximation large and its error also large. A Nash Equilibrium again is n individuals acting as a system and almost all of those individuals, over 90 percent,  will be between µ-2σ and µ+2σ, in other words 2/3 of the absolute. While almost 5% of the individuals will be between zero and µ-2σ, the error will be large, but the approximation  will be very small. Only for the almost 5% of the individuals between µ+2σ and the absolute, i.e. 5/6 of the absolute, will the error be large, and the approximation also be large. Thus according to Nash, Pythagoras’s Theorem is correct over 90% of the time and when the values are less that 5/6 of the absolute, this approximation can be used. Pythagoras’ Theorem, like all models, may be wrong, but according to Nash it is useful. 

Works Cited

Mabkhout, S. (2012). The infinite distance horizon and the hyperbolic inflation in the hyperbolic universe. Phys. Essays, 25(1), p.112.

Thursday, April 4, 2024

Hope

 

Zing! Went The Strings Of My Heart

I still recall the thrill, guess I always will
I hope 'twill never depart
All nature seemed to be in perfect harmony
Zing! Went the strings of my heart

Do you HOPE, or are OPTIMISTIC, that the thrill will never depart?

The difference between Hope and Optimism is that Hope is outward looking for a group while Optimism is inward looking for an individual.  The saying "Those that can do, and those that can’t teach" is IMHO from a User Optimal, individual, perspective.  From a group, System Optimal, perspective it would be "Those who care only about themselves do, those who care about others teach." 

My native state, Rhode Island has a motto, featured on the state flag, of Hope.  The iconic Barack Obama print featured the word Hope.  Corinthians, 3:13 “Three things will last forever—faith, hope, and love.”  Long live Hope.

Sunday, March 31, 2024

Polling III

 

Something

Something in the way she knows And all I have to do is think of her Something in the things she shows me I don't want to leave her now You know I believe and how

Do Something?

According to Game Theory in economics, it takes three players to form a perfect game.  (Yes it is seems like there are only two teams, but what about the refs?) N users can try to serve as a system, but the rule of three remains.  Let's call one third of the system "Do Something".  Let's call one third of the system "Burn Everything".  That means that any decisions will be up to that the remaining third.  Let's call them "Burn Some Things, but Keep Some Things" 

That means that any unbiased poll should at least be 44.4%, 1/3 + just under half of 1/3; and that same poll should be no more than 55.6%, 1/3 + just over half of 1/3.  I would not get to excited about any single political poll that shows less than 50%.  It is the trend which shows how that middle third is leaning that is important. A single poll for a single political event is no better than touting a horse race.  It is better to BE the house than to try to BEAT the house. 

But having said that anything can happen at a single political event, say on election day in November, this is my fantasy scenario.  The Democrats take the House of Representatives AND the White House, but the Republicans take the Senate by 51-49.  Bloodshed ensues as promised.  But the Electoral College meets, votes, and the combined House and Senate certifies.  But even though the Senate is controlled by Republicans, there is no deadlock in the ensuing years.  Either Senator Murkowski or Senator Collins change parties and become independents and caucus with the Democrats, making the Senate 50-50 and Vice President Harris goes back to breaking ties. Maybe both will switch parties and it becomes 51-49 the other way and VP Harris gets a rest.  Will I be betting on this?  Don't be silly.  Will I be surprised by this? Absolutely not.

Wednesday, March 27, 2024

Classifications

 

Do I Love You Because You’re Beautiful

Do I want you because you're wonderful,
Or are you wonderful because I want you?
Are you the sweet invention of a lover's dream
Or are you really as beautiful as you seem?

Why can’t it be both? Wonderful AND Beautiful.

There is a basic tendency to classify things. If you are to classify anything there have to be at least two classifications: odd and even; day and night; yin and yang; side one and side two; etc. There can be more than two classifications, but not fewer.  But how should an absolute be classifed? There was an advertising campaign for Miller Lite Beer in the 1980s: Less Filling, Tastes Great. The advertisements typically took place in the form of an argument by each side as to which side the beer belonged. The punch line is that it belonged to both. It was Less Filling AND Tastes Great.

The concept of being both things is hardly unique to Miller Lite Beer. Certs Mints had a similar advertising campaign. Is it a candy mint? Is it a breath mint? It’s two, two, two mints in one. 

In mathematics, infinity is an absolute. An integer might be classified as odd or even. So is infinity odd or even? This is not a trivial question. If an integer is even, then at half of that integer there is an equal amount above and below that integer. And half of an even integer is still an integer. By contrast, if an integer is odd, then at half of that integer there is also an equal amount above and below that value.  But half of an odd integer is no longer an integer. If odd and even behave differently, how is infinity to be classified? The answer is that it is classified as BOTH. For any odd or even integer, the median and the mean need not be the same. But at infinity they are defined as being the same, and thus infinity can be defined as both odd and even.

This insight is not unique to advertising and mathematics. St. Paul’s letter to the Galatians, 3:18, according to the King James version is translated as

There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female: for ye are all one in Christ Jesus.

That does not mean that there are no differences. People can have a religion or an ethnicity. People can be free or slave. People can be male or female. But as far as the absolute is concerned, these classifications do not matter and they certainly don’t apply to the absolute. The absolute is both.

Tuesday, March 26, 2024

Power And Glory

 

Sympathy for The Devil

Please allow me to introduce myself
I'm a man of wealth and taste
I've been around for a long, long year
Stole many a man's soul and faith

Do you really need that warning about wealth and taste?

The absolute’s Power and Glory is an output of the Truth and Justice of the absolute. It is proper to worship an absolute. But not all of the Power and Glory of an individual is because of their Truth and Justice. An individual can lie, cheat, and steal their way to Power and Glory. Don't forget that one of the titles of the Devil is the Prince Of Lies.

Some basic wisdoms are “All that glitters is not gold” and “Don’t judge a book by its cover.” IOW an individual’s wealth and taste is NOT any indication that their Power and Glory is because they are an absolute.

Not all heroes are famous, and not all famous are heroes. Just because someone has wealth and taste, e.g. is famous, it doesn’t mean that they are a hero. Remember that before you worship, or follow, anyone.

Sunday, March 24, 2024

Truth and Justice

 

The Power

Like the crack of the whip, I Snap attack
Front to back, in this thing called rap
Dinging like a cymbal, rhyme devil on the heavenly level
Bang the bass, turn up the treble
Radical mind, day and night all the time
7:14, wise divine
Maniac brainiac, winning the game
I'm the lyrical Jesse James

I’ve got the Power!
I’ve got the Power!

Power is an output, NOT an input.

Power and glory are the outputs. Truth and justice are the inputs. Absolute power is correctly associated with the absolute. So if we have absolute power, then we can be absolute too? Uh no, it doesn’t work that way.

If there is no truth and justice, then there is no power and glory. Lord Acton’s adage is that “Power tends to corrupt,  and absolute power corrupts absolutely”.  I don’t think that there is a similar saying that truth tends to corrupt, and absolute truth corrupts absolutely. So the goal should be to create truth and justice, and then hope to get power and glory. Don’t ever accept power and glory without truth and justice.