Can one predict the
time evolution of a system?
etc., etc., etc....
Ever have a day when everything went wrong?
Say you predicted you would have a normal college day.
But your alarm clock didn't ring.
Already running late, you couldn't find your backpack (briefcase, USB drive, etc.).
Finally you stagger out the door, but your car won't start.
Later, you find out you missed a surprise quiz.
It's a bit like that for the entire field of forecasting.
1. Spoil Sport of Prediction #1: the Observer Effect
To figure out what happens next,
you need to know where things are now.
if you hit a billiard ball,
you can't predict what will happen next-
unless you know:
the current layout of the pool table.
The observer effect
It is a principle, holding that:
The act of finding out
"where things are now"
(i.e. determining the current state of the system of interest)
changes it to something else
(i.e. perturbs the system).
the observer effect
is most noticeable for
very small things or faint effects
the observer effect
applies to any scenario
affect the electricity
changes the person
This Kelly Neill apparently sings,
but it is a different Kelly Neill
who teaches voice at
Harding U. in Searcy
She also narrates
"A conscious universe - the observer effect"
No ad: http://www.youtube.com/watch?v=b6l5Zh7w9yQ
A little more detail...
"The observer effect - an historical perspective"
(Cut audio for ad first)
It is also a Star Trek episode:
(30-sec. trailer) http://www.youtube.com/watch?v=9eqb9PDILMU
See first few seconds of: http://www.youtube.com/watch?v=1HhnUDqEfUo
So. . .
. . . Can you think of
of the observer effect?
(You could write it down)
Does the observer effect
any futures of things like
the next presidential election
(Any recollections from "The Last Lecture"?)
Here are a few more
. . . if you are watching over kids, they act different
. . . people in general
- remember we mentioned the
social competition theory of human brain genesis?
. . . Ever try to look at
the back of your head
using two mirrors?
It makes you move your head around
. . . If you shine a light beam
through dusty air in a dark room,
the light will affect the dust a little bit.
Or dust in a sunbeam.
. . . What about watching a pool game?
. . . What about measuring the weather
for weather forecasting?
. . . What about measures of
printed in news articles?
Suppose you could control the observer effect
(Is this possible?)
. . . now just figure out the 6-D position-&-velocity of everything
. . . . . . and crunch with a computer to tell the future! Right?
. . . Unfortunately, no. This just brings us to:
2. Spoil Sport of Prediction #2:
The Heisenberg Uncertainty Principle
Heisenberg Uncertainty Principle")
it applies to all particles
not just electrons
Here it is with
photons (light particles):
. . . You could try it with
a laser pointer and
a piece of black plastic cut from a notebook cover!
The Uncertainty Principle:
It says you
cannot precisely know
both the position and momentum
of a particle
at the same time
The uncertainty in position,
times the uncertainty in momentum,
where h is Planck's constant.
Since momentum m
we have uncertainty about velocity too (and mass too, for that matter). So there is uncertainty about position, velocity, and mass of any object. Let's focus on position and velocity, out of tradition.
To fully describe a system
such as the universe
some small part of the universe
we need simply list
the position and velocity (and mass)
of every particle in it.
How many numbers are needed
to describe the position?
a side-to-side location
a front-to-back location, and
(also known as
x, y, and z coordinates)
How many numbers are needed
to describe the velocity,
where velocity consists of
a speed and a direction?
a side-to-side speed
a forward/backward speed, and
an up-down speed.
This concept is
easiest to visualize in
a 2-D simplified example:
So we need
for every object
to fully describe the system
since each object has a mass as well).
Now for the bad news...
those six numbers are
impossible to get with full accuracy,
they include both
position and velocity (and mass)
The Uncertainty Principle tells us that
for one results in
for the other.
if the Observer Effect
our prediction ambitions,
the Uncertainty Principle will.
But what if we could control both?
Well we can't!
Then suppose we could just enough
to predict futures with confidence.
we're not out of the woods,
because of the
esoteric physics phenomenon called
3. Spoil Sport of Prediction #3:
According to quantum theory:
objects are not as localized
as we intuitively think.
Instead, objects have
and are actually
"smeared" over a space
within which they exist
with some probability
at each point
in that space.
This leads to weirdnesses like:
A tiny object
such as a
if very near a thin barrier,
has a certain probability
of being on the other side!
It may be observed there,
and if so,
it has thus "tunneled"
through the barrier
without making a hole in it.
This is quantum tunneling.
Actually, the term quantum tunneling
is applied to the ability of objects to "tunnel"
through other kinds of barriers than a solid one.
For example, consider the somewhat notorious
example of an idealized pencil balanced on its tip.
If the tip is sharp, except for a tiny flat spot
(say, a couple of atom wide)
it might be difficult to balance,
but one might think that
with sufficient care it could be done.
Well not exactly.
Because the pencil is actually "smeared" a little bit,
it has a certain, rather small probability
of being tipped enough to lose balance and fall.
Since the smearing is symmetric,
it could in fact fall in any direction.
The probability of being tipped enough
to lose balance is small and a single such pencil
would be unlikely to fall for a long time
(Easton, 2007, p. 1103).
But get enough pencils together
and one will fall soon enough.
balance an array of 1000 x 1000 pencils
and one will fall,
knocking over other pencils
and leading to a general domino-like conflagration
with an average (but unpredictable) delay of around a month.
What pencil will start the general crash
and in what direction the pencils fall
is impossible to predict.
But maybe the system we're interested in
predicting the future of
is not so finely tuned.
Maybe we can handle the Observer Effect,
the Uncertainty Principle,
and quantum tunneling
adequately for our system.
Alas, our troubles are still not over!
Spoil Sport of Prediction #4:
The Butterfly Effect
a butterfly flapping its wings
will create a small atmospheric disturbance.
That disturbance will propagate unpredictably.
Some time later (how long?),
the paths of hurricanes will be determined by those tiny flaps!
One mathematical description
of atmospheric cycles
whose future behavior depends seemingly unpredictably
on small present events,
may be modeled by a special kind of water wheel.
“When our results concerning
the instability of nonperiodic flow
are applied to the atmosphere,
which is ostensibly nonperiodic,
they indicate that
prediction of the sufficiently distant future
is impossible by any method,
unless the present conditions are known exactly.
In view of the
inevitable inaccuracy and incompleteness
of weather observations,
precise very-long-range forecasting
would seem to be non-existent.” [emphasis added]
— Edward N. Lorenz
Let's discuss what butterflies might affect our topics of interest:
. . . Future of telepresence (P)
. . . "Unikey" (C)
. . . Template-based sentence analysis (C)
. . . Robotic surgery (O)
. . . Virtual education (M)
. . . How does our age affect how we think about the future (C)
. . . Future of government (M)
So you think you've
controlled the Butterfly Effect
and all those others?
Then welcome to...
5. Spoil Sport of Prediction #5:
To figure out what happens next,
you need to know where things are now.
But you also need to know
what outside influences
will impinge on the system between "now" and "next,"
whenever "next" is.
Consider pool again
Say you know
Every location of every ball
The velocity of each
A fast computer can
Figure out what will happen
Several seconds into the future
Faster than it really happens!
After that, "issues" cause problems
(Spoil sports 1-4)
But what if
a draft hits the table?
The table is very slightly tilted"
Someone bumps it?
the evolution of
that's why they're called
A Lorenz water wheel,
but it's raining
Every raindrop is a butterfly flap
...whose tiny actions
change the direction of the wheel
at some future time.
to a system
is like a
butterfly wing flap
- how about the future of
a person's illness?
Computer round-off error
another source of perturbations
from outside the system under study
Frictionless pool table simulation that repeats
The butterfly effect was discovered as an effect of round-off error
Check youtube to see simulations
Let's identify some
likely to affect
the future of
some of your topics
(we could list them on the board)
6. Spoil Sport of Prediction #6:
- Why Care
(About the Future)?
a feeling of
dread, anxiety or anguish
the "big questions"
Does the kind of existence affect the answer?
. . . Difficult struggle for existence
. . . Prosperity
"Eat dessert first" - Hitchhiker's Guide to the Galaxy
we shall die"
- Isaiah 22:13, etc.
"Don't Worry, Be Happy"
- Bobby McFerrin (after Meher Baba)
Decisions often focus on the short term
. . . Business decisions focus on short term
. . . Political decisions focus on short term
. . . Many people focus on the short term
. . . What about animals?
. . . Why is it good to focus on the short term?
. . . Why is it not good to focus on the short term?
. . . Why is it good to focus on the long term?
. . . Why is it not good to focus on the long term?
What does short term focus say about existentialist angst?
What does long term focus say about it?
A school of philosophy
Søren Kierkegaard (1813-1855)
was a key figure in its development
. . . Danish philosopher and theologian
"...focused on subjective human experience
rather than the objective truths
of mathematics and science..."
"...interested in people's quiet struggle
with the apparent meaninglessness of life..."
- Wikipedia, http://en.wikipedia.org/wiki/Existentialism
What do you think of that?
Discussing the future of humanity is nice,
but what about my (your) future!??
. . . If life is meaningless,
then does the future matter?
. . . Is life meaningless?
. . . Is the question meaningless?
. . . Is it important to give life meaning?
. . . What should one try to do with life?
. . . Maybe reasoning from accepted
first principles does not resolve these
Therefore you can choose the answers you prefer!
(Or not choose, it's up to you)
Equivalently, you can choose
to add first principles
as needed to get the answers
How about maximizing the integral
of positive feeling in the universe?
. . . . . . You could pick pessimistic answers,
you could pick optimistic ones too
. . . . . . Pure logic won't say which is right
. . . . . . Better to pick the optimistic ones!
Because life's more fun that way
. . . That seems like common sense...
Yet it is not always a matter of conscious choice
"Breaking up is hard to do"
Optimistic and pessimistic moods
Taken to extremes - bipolar illness
That's brain chemistry not choice
Yet... optimism can be taught & practiced
How societies "think" (actually, act) about the future
Source: J. Diamond,
Collapse: How Societies Choose to Fail or Succeed
Recall pre-"discovery" Easter Island and the canoes
A big palm tree was needed to build a good canoe
A good canoe was needed to get plentiful seafood
So why on earth did someone cut down the last palm tree?
(see p. 410?)
What do you think?
Why societies can collapse
(Another kind of existential problem)
You might think that societies would try to
anticipate and control existential risks
But sometimes they don't
What existential risks are possible for us?
Here is a taxonomy (from Diamond)
Failure to recognize a critical problem before it happens
Example: foxes and rabbits in Australia
Anasazi civilization (Arizona) did not anticipate local climate change (drought)
France built the Maginot line for defense, but lost WWII in mere weeks
Etc. (can you think of any)
Failure to recognize the problem when it happens
Examples: any slow-moving trend obscured by short-term effects
Note the noise-and-signal issue
Also called "creeping normalcy"
Check Diamond (p. 426) for more about the palm trees...
Etc. (Can you think of any examples?)
Failure to try to solve the problem after it is recognized
Why on Earth would anyone or any group do that??
Yet according to Diamond this "failure is the most frequent"!
. . . Failure may benefit influential special interests that therefore push it
. . . Greenland Norse leaders kept cows (unsuited to the cold)
. . . The few pike fishermen stocked pike in Montana waters,
destroying trout for the many more trout fishermen (p. 427)
. . . "Throughout recorded history,
actions or inactions by self-absorbed
kings, chiefs, and politicians
have been a regular cause of societal collapses" - p. 431
. . . Any examples closer to home of
benefiting a few at the expense of the rest?
. . . Is this rational behavior?
. . . Unregulated access to common resources
. . . . . . "If I don't take as much as I can, someone else will"
. . . . . . Pretty soon it's gone!
. . . . . . Any examples?
. . . . . . Is this rational behavior?
. . . . . . Solutions?
Irrational causes of societal collapse
. . . Beliefs that aren't right
. . . Taking a gamble and losing
. . . Etc. (any others you can think of?)
Trying but failing to solve the problem
Greenland Norse colony: "The cruel reality is that...Greenland's cold climate and...limited...resources have posed an insuperably difficult challenge to...a long-lasting sustainable economy." - p. 436
So should societies think differently?
7. Spoil sport of prediction #7: The care horizon
How much is the future of the human race worth? We'll increase it later, but let's start with an admittedly bargain basement $100. If you had $98.04 now, and put it in the bank at an interest rate of 2% per year, then in a year you'd have $100. That means getting $100 one year from now is only worth having $98.04 now, at least from a "Time Value of Money" perspective. Similarly, getting $100 in 2 years is only worth $96.12 now, because adding 2% to $96.12 gives $98.04 in one year, and compounding by adding another 2% gives $100 a year later. Extending this reasoning further, the human race in a modest 233 years would be worth just under a dollar now. In 466 years? Less than a penny.
It's fair to say that a hundred dollars is an underestimate for the value of the entire human race. So let's increase it to a fair (or at least fairer) price. We might multiply the number of people by the value of the life of each and every person on the planet.
What is the value of a person's life? Economics (known as the dismal science, even to economists) tells us that the de facto value society places on a human life can actually be calculated, and courts of law in fact sometimes do such calculations.
Answers vary, of course, but a few million dollars is often within range.
Multiply that by the number of people in the world and you get a biggish number:
$100 quadrillion for the value of the human race (at most).
But wait - maybe you don't trust the financial and legal wizards with something so important. After all, we already trust them with some pretty important things, and they periodically betray that, seriously screwing things up. Maybe we should use a higher number, just to be more sure we aren't under-valuing ourselves.
How about a dollar for every single atom in the known universe? That's around $10^80 (1 followed by 80 zeroes dollars)? It is a lot of cash. Way (way way) more than the United States has ever printed. There are literally not enough atoms in the known universe to even print that much money. Yet, if that is the value of humanity's existence 9,070 years from now, the value at present would be...$100! A scant 466 years after that? Less than a penny. How about the present value of humanity existing in a million years? The answer is a fraction of a penny so tiny that popular spreadsheets, calculators and computer programming languages can't even state it. They typically just think it is 0, but if you must know, it's actually about $0.000
Wait - someone in the back has a question - yes? "But it's not just the value in year on million we're after. We also need to add in the value in year 1,000,001, year 1,000,002, etc., forever and ever. That's got to add up, eventually." Well, only a little, it turns out. The value now is "bigger," but still less than $0.000
21. Making it personal. Maybe you are still unconvinced.
Such sophistry fails to capture the real facts at a gut,
common sense level, you might say.
Then consider the following argument.
You care about yourself, so you don't want humanity to end while you are still alive (it might not be pleasant). You care about your children (or you will if you have any some day, or maybe you care about some or even all other children). So you don't want humanity to end during their lifetimes, even if you are already gone. You probably even care (or will care) about your grandchildren because you will hopefully get to know them personally. Furthermore, you care about their grandchildren (though probably less) simply because you care about your grandchildren, who care about theirs. But you have no gut level reason to care about the generations after that, because neither you, nor anyone you care about will ever know them. To put it another way, how much do you care about your grandparents' grandparents, and how much did they care about you? Still care in some more abstract, dispassionate sense? Then see the previous paragraph.
Maybe you are a fast enough breeder, and long enough liver, that you'll care about your great grandchildren and theirs, instead of just grandchildren. Yet that is still only 6 generations into the future, not even the biblical 7, a couple of centuries or so at the most. So relax, quit worrying, eat dessert first.... In particular, don't bother with predicting past the 2-century "care horizon," because there's little point to it.
The 2-century care horizon is, thus, our last spoil sport of the prediction game.
D. Easton, The quantum mechanical tipping pencil - a caution for physics teachers, European Journal of Physics, vol. 28 (2007), pp. 1097-1104.
R. Posner, Catastrophe: Risk and Response, Oxford University Press, 2004
"Time Value of Money": TVM is standard terminology in the finance and accounting world.
"Well, only a little, it turns out." There is a formula for calculating the sum of a geometrically decreasing, infinite series. Look it up (or play with a spreadsheet instead).