Universal Basic Income

 

Suzanne

And Jesus was a sailor
When He walked upon the water
And He spent a long time watching
From His lonely wooden tower
And when He knew for certain
Only drowning men could see Him
He said, "All men will be sailors then
Until the sea shall free them

Sailors should know about tides and boats.

A rising tide raises all boats.  Donald J. Trump Junior famously said of averages that “I would imagine that 50% are below average, that's how math works.” I know that he is a graduate of the Wharton School, but also I took classes at the Wharton School when I attended UPenn’s Towne School of Engineering.  Let’s give DJTJ the benefit of the doubt that he was merely drunk in class when averages were taught, and not merely grifting again, but he is confusing the mean with the median.  The average is the centrality of the normal, which is the median.  In normal distributions, the mean and the median are equal, but when distributions are not normal they do not have to be the same.  Taking advantage of those who confuse the two is NOT a nice thing. https://dbeagan.blogspot.com/2018/08/wonderful-world-dont-know-much-about.html

A rising tide rises all boats means that as the tide, median, increases, then every boat should rise by the same amount.  Not that a few boats should rise by more than the tide and many more boats should be sunk, but that is actually what has happened.  Let’s be kind and say that it was by accident and not design.

The distribution of income is reported by the US Census Bureau.  The distribution of that income in 1968, in 2021 dollars, fits a hyperbolic tangent.  It also fits a hyperbolic tangent in 2021. That is not suprising since a statistical distribution should fit a hyperbolic tangent.  But the distribution in 1968 had a de facto Universal Basic Income, UBI, of almost $10.5 thousand.  The distribution in 2021 also fits a de facto Universal Basic Income, but it is negative $1.2 thousand. The number of households and income grew from 1968 to 2021.  If all of that increase in income was applied to everyone, then the distribution would stay the same, but the distribution was actually shifted towards higher incomes.  But by insisting that policies that should ensure that there is NO Universal Basic Income, and the distribution of income at zero percent should be as close to zero as possible, while the incomes for the top 20% are remarkedly similar, the incomes for the remaining percents are severely decreased.  By sinking all of those boats you might make the upper income yachts raise higher, but if you had just distributed income normally, then the end result would have been the same. 

And the amount of Universal Basic Income is not enormous. If  income tax is 20% of the total income and 0.4 % of the increase in taxes between 1968 and 2021 was shared among the total households in 2021, it would amount to $68 thousand per household.  And THAT is how math really works.

Destruction

 

Turn, Turn, Turn

A time to build up, a time to break down
A time to dance, a time to mourn
A time to cast away stones
A time to gather stones together
To everything turn, turn, turn
There is a season turn, turn, turn
And a time to every purpose under Heaven 

What time is it now? 

In the Hindu mythology, the trinity of the highest gods are:  

·        Brahma, the Creator ;

·        Vishnu, the Preserver, and

·        Shiva, the Destroyer.

Hindu mythology acknowledges that creation of the new will not occur unless there is destruction of that which has been created but found wanting.  But you can’t destroy everything or the end result would be nothing.  Thus Vishnu’s role is to decide what of creation will be preserved and what of creation will be destroyed.

It is probably no accident that 1/3 of all Americans are backers of the Jan 6^th, 2021 insurrection, whether by explicitly by backing the insurrection or implicitly by saying that it was not an insurrection.  It is probable that 1/3 of all Americans support all things progressive, and are the libs that MAGA wants to own. It is up to the remaining 1/3 of all Americans to decide which of the progressive actions they wish to support and which they want to destroy. 

The problem is that in a single representative per district system of governance, such as the one in the United States, there will most likely be a two party system.  If one party is captured by the destroyers and will only nominate destroyers as candidates, then the preservers may be forced to choose the candidate of the creators or else they will have nothing left to preserve. 

Mirror, Mirror

The Man in the Mirror

I'm starting with the man in the mirror
I'm asking him to change his ways
And no message could've been any clearer
If they wanna make the world a better place
Take a look at yourself and then make a change.

We are, of course, the man in the mirror.

Reality as a complex number is re^iθ, where r is the real part and θ is the angle of rotation of the imaginary axis.  This can also be stated as a+bi.  As was suggested in a recent blog post, https://dbeagan.blogspot.com/2023/08/complexity.html,  reality must be -ln(0.5)/λ , where λ is the decay coefficient of an exponential distribution.  It was also noted that 1/λ is the mean and median of that exponential distribution.  It was suggested that this apparent paradox could be resolved if 1/λ is only the real part of the complex number that is -ln(0.5)/λ.  However that leads to an undefined number where the rotation of the imaginary axis is ln(-ln(.5)) . The solution to this paradox is in another blog post, https://dbeagan.blogspot.com/2023/09/reality-ii.html, that reality (as a complex number) is equal to -reality(as a real number) +0i. If the real part of a complex number is -1/λ then the rotation of the imagainary axis is 1 radian, and since one radian is π it is 180 degrees.

This means that our reality is the mirror universe, a reflection of complex reality.  Thus that OG Star Trek Episode, “Mirror, Mirror” is correct except that we are living in the reality of the Imperial Star Ship Enterprise, of the Terran Empire, not Starfleet. The reality where Spock has a goatee.  The one in which McCoy says that he is “A doctor, not an engineer” and Mr. Scott replies that “Now you’re an engineer”.  IOW, it takes an engineer to find a solution.

Time Travel

 

Back In Time

Don't bet your future
On one roll of the dice
Better remember
Lightning never strikes twice
Please don't drive at eighty-eight
Don't want to be late again

Are there rules for time travel?

Time travel has fascinated storytellers for a very long time.  And IMHO time travel is possible, but you can’t change much about the past, so you may not want to time travel.

If the future has not been written, that is because there are choices that have yet to be made in the future, but choices have already been made in the past.  Just as there is a probability cone of future events that becomes wider as the time from that event increases, there is also a past in which those choices have already been made, so for the same distance in the past from that event, the probability cone is much narrower, and you are confined to visit only the past which could lead to the current choices.  Thus you can’t travel back in time and assassinate Hitler before WWII or prevent him from being born, because you come from a reality where Hitler was born and started WWII.  You can visit Hitler, but your actions can’t change the present from which you started.  You can’t also guarantee a win in tomorrow’s lottery because that has not yet happened. 

This sounds a lot like the time travel rules that existed in Superman comic books from 1949 to 1984.  Superman could visit the past, but he could not change the past.  Superman writers followed those rules because otherwise if Superman could travel to the past then why wouldn’t Superman change the past.  You also can not get to a past that is not in your past.  The South winning the Civil War might be one of the Multiverses, but we can not travel from our reality to a past where the South won the Civil War because the South did not win the Civil War in our reality. We can only visit what has happened, not what might have happened. 1.21 Giga Watts!!! What was I thinking?

Patriotism

 

Tell Her No

Tell her no no no no-no-no-no
No no no no no-no-no-no
(Don't let her down from your arms)
No no no no no (Oh, oh, oh, oh)
Don't hurt me now for her love belongs to me

“No” might be a complete sentence, but the phrase is “No taxation without representation”

The complete phrase uttered by the Founding Fathers/American Revolutionaries was not “No Taxation”.  It was “No Taxation WITHOUT Representation".  You might be opposed to taxes, but please remember to say the complete phrase.  The American Revolution was not fought over taxation, it was fought over representation.  When you are saying “No Taxation Without Representation” you are explicitly in favor of taxation, but not without having representation to decide what those taxes should be, the amount of those taxes, and how the revenue raised from those taxes is to be spent.  No taxation at all, or cheating on taxes, is not consistent with this phrase and is un-American.

Reality II

 

Imagination

There is no life I know
To compare with pure imagination
Living there, you'll be free
If you truly wish to be

Imagination may be the key to the multiverse!

Is there a multiverse?  If there is, it must be a complex number, the sum of a real number and an imaginary number.  Euler’s Formula is e^ix=cos(x)+isin(x), in other words a complex number.  This also means that as complex numbers, cos(x)=e^ix-isin(x), and sin(x)=(e^ix-cos(x))/ i,

These can also be used to find values of cos²(x) and sin²(x) as complex numbers.

cos²(x)=(e^ix-isin(x))²= (e^ix)²-2isin(x)e^ix+sin²(x)

and

sin²(x)=((e^ix-cos(x))/i)²= -(e^ix)²+2isin(x)e^ix-cos²(x)

Using Euler’s Formula, these can be restated as

cos²(x)= (e^ix)² -2isin(x)*( cos(x)+isin(x))+sin²(x)

or

cos²(x)= (e^ix)² +sin²(x)- 2isin(x)cos(x)

and

sin²(x)= -(e^ix)² +2isin(x)*( cos(x)+isin(x)) -cos²(x))

or

sin²(x)= -(e^ix)² -cos²(x)+2sin²(x)+2*isin(x)cos(x)

Therefore the formula for a circle, 1=cos²(x)+sin²(x), as a complex number is  

-(cos²(x)+sin²(x)) +bi,

where b can be any real number.

The formula for a hyperbola, 1=cos²(x)-sin²(x), as a complex number is

(cos²(x)-sin²(x) )+ sin(x)(-4cos(x))i+ 2*(e^ix)²

The formula for a circle, cos²(x)+sin²(x)=1 is a real number.  But if it were expressed as a complex number, then the coefficient of its real component is a 90° rotation of that complex number with any imaginary coefficient.  The formula for a hyperbola, cos²(x)-sin²(x)=1, is a complex number, but it is also the coefficient of its real component,  plus the coefficient of the imaginary number which is the rotation by the angle of x of -4 multiplied by cos(x), plus 2 multiplied by the square of Euler’s formula.  If you apply the value for the square of Euler’s formula, then the imaginary coefficient becomes a coefficient of zero. 

                                                (cos²(x)-sin²(x) ) + 2cos²(x) - sin²(x)+0i

The Euclidean, flat, surface is the transition between a circle and a hyperbola.  Pythagoras’ formula relies on the formula for a circle, but saying that the imaginary coefficient is zero does not mean that there is no imaginary coefficient. Evidence of absence is not absence of evidence. There is a big difference between a relative zero and an absolute zero.

IMHO the problem, is that the x property describes a vector relationship to an absolute.  A vector has both a magnitude AND a direction, BUT that magnitude is never negative and the direction always points away from the absolute.  Analyzing its magnitude as a scalar does not change those facts. You can have a magnitude of an equal amount in the opposite direction, but this is NOT a negative magnitude in the same direction. You have only appeared to create an new absolute, but you have not created a new absolute. You have only reflected the old absolute.

The relationship to the absolute can be rotated around absolute zero to create a solid which has dimensions of time, space and imagination.  But that rotation does not change the relationship to the absolute.  There can be the perception that there is negative space, etc., but this is only because of the 2π rotation around the absolute to create an imaginary axis.  The relationship of space, time, and imagination is still with respect to the absolute.

Euler’s Formula describes a complex relationship including an imaginary relationship, ix, not a real relationship. Pythagoras’s Theorem is a real number, but it is also a rotation of the real part of a complex number, which has an imaginary coefficient of zero.  

IOW, Reality as a complex number is then -Reality +0i.  If the Multiverse is a complex number which has the current universe as its real component, it must be Reality + bi.  Thus the Multiverse excluding our current universe is (b+0)*i.

Misery

 

Outlaw Blues

Ain't it hard to stumble
And land in some funny lagoon
Ain't it hard to stumble
And land in some muddy lagoon
Especially when it's nine below zero
And three o'clock in the afternoon

That’s nine below a relative zero, regardless of the time!

Being below a relative zero is cold.  Being below an absolute zero is impossible.  So is annual income a relative amount? or an absolute amount?  Mr. Micawber in David Copperfield said “Annual income twenty pounds, annual expenditure nineteen, nineteen, and six, result happiness. Annual income twenty pounds, annual expenditure twenty pounds, ought, and six, result misery.”  If we want to include both misery and happiness, income must therefore be measured on a relative scale.

The US Census reports on annual income, that has been adjusted for inflation, expressing it in 2021 US Dollars from 1968 to 2022. (actually the years are 1967 to 2021).  It also reports the income limits for various percentiles.  This allows the median and mean income to be calculated for each year which is reported.

When those reported incomes are fit to a hyperbolic tangent function, it is almost a perfect match to the distribution of income in 1968 (adjusted for inflation to 2021 US Dollars).  However a hyperbolic tangent requires both negative incomes and negative percents.  If the income and percentages are viewed as absolutes, then the income should not fall below $0, the perctages should not be negatives,  and the fit should be to a random curve which is adjusted from an exponential distribution. The distribution of income in 1968 did not follow this random curve.  However the policies in the intervening years have resulted in a distribution of income that is a better fit to a random curve, but it is also is more skewed to upper incomes and has increased the misery of those who are nearer, or below, zero income.