During
0. Two Given Styles Of Lectures
1.
The Ampere/Voltage/Ohm
2.
The Gödel Numbers
3.
The Turing Machine
4.
The Nash Equilibrium
5.
More than Analogy
6.
The Greek Example
0.
Two Given Styles Of Lectures
There
are two lectures, which are confidently designed for the listener.
One is extremely short and to the point, and actually has some hope
of being understood in real time. These are “do” lectures. The
other one is extremely long and will have to be absorbed over time,
and contains hints of things yet to come. These are “think”
lectures; both of these are badly done because training a lecture to
do this is not an immediate process.
And
who knows, you might actually learn something, even if the lecture is
disabled.
Obviously
this is the second kind of lecture, and the lecturer does not think
that all you who will get it will not get right way. In fact I would
be surprised if any of them got it, though one or two of you just
might. Given that this is a long lecture, and does not come with an
immediacy of understanding, it means that you will take time to
really understand. So let us begin, first with the obvious parallel
to a battery, then by going through the three talking points, then
closing with a distinct problem – and some questions.
As I said, you are not going to
get this at once. But that is all right, because now that you know
the information: you can digest at your own pace, and not rush to
produce it on a test. You are at the point of having to digest at
your own pace, and not by the cycles of semester or quarterly
information. While not everyone will treat you as grown-up, I will,
and it takes you days or weeks or months to get this, that is all
right by me. After all it took me a great deal of time to come up
with this, so it is going to take you time to understand it.
First
of all, though, I would like to thank everyone involved in giving
these lectures, because it is tough to get together a lecture that
will be understood. And each and every one involved deserves a hand.
And I would also like to thank all of you for attending these
lectures, because they are not easy to absorb.
1.
The AVO
By
now we know what AVO is: an Ampere driven by a Volt, against a
resistance of one Ohm. And if we do not there are a large number of
websites willing to explain this for you. We do not need to know
everything about physics, just where to find that stuff that we do
not know when to know it. The AVO is the basic unit of electricity,
and everything about electricity can be expressed by it, or by
numbers which come the same thing, usually with a square somewhere in
the calculation. Is so basic and so obvious that it will take four
years to just know what you are looking for, and another five or so
to actually make a contribution to the field of EE.
What
this means, if you think about it, this field is rich in density with
possibility, and produces interactions that are complex and
extraordinary. You can spend your entire life working with just such
equations and workings out of the field. Airplanes, automobiles,
trains, and all manner of appliances – from very large to the very
small screen out for just a little nudge of EE. This means that a
triangle of forces is at work in any complete electrical circuit.
Even if Ohms is zero, because after all zero is a number. But it
leads to two sorts of superconductivity.
When
first you start experimenting with electricity, everything seems
novel – and if you will excuse the expression, shocking. That is
because electricity goes where it wants to, rather than where you
wanted it to go. And that means you have to learn the language of
electricity if you want it to go anywhere. But there is a saving
grace – and that is, it will ignore, most of the time, detours
which do not interest it. Compare this with water, which will squeeze
out any little gap and come flushing out of every pore if you give it
a chance – and even if you do not think there is anything to
squeeze. Water will find a way – whereas electricity will not.
What
makes electricity so useful is that it provides a framework for
introducing a novel concept: GTN as a unit of measurement. Because if
you think about it, it is basically the same concept: you have a way
of current running on a system which will work if the current times
the system is over the backlog. But what has not been made clear to
everyone is what GTN actually works out to being.
So
let us take a moment to review the AVO, and then introduce the
information equivalent. This way if you get lost in the world of GTN,
you can slip back to an old standby and reason by analogy. So what is
AVO?
Let
us start with amperage, and what it is actually doing. Amperage is
the amount of electrical current present at a given point, When it is
expressed the current is in Amps, whereas the charge accumulated is
measured in coulombs. But that basically means that a charge will not
move anywhere unless there is voltage which is expressed as kilogram
meters squared over Amperes times seconds cubed. In other words a
weight times a distance over seconds cube. This is more easily
expressed as Watts over Amperes. Now here is where physicists divide
from electronic engineers. Physicist will know that there is some
conversion factor which he will remember two digits of, or look up if
more precise is needed – where as the electronic engineer will know
the precise nine digit, and have them memorized. And if you look at
their phone, it will be (xxx) 483-5979. They will even take issue
with the water flow analogy, because everyone in the EE space knows
that water flow is not the same thing.
Then
everything slips in two places, the average does the work, the
voltaic is the hurdle to cross, and Ohm is the resistance
between two points on a conductor. Thus Voltage, Amper, and Ohmage
are nice neat one-for-one equations.
But
there is a small catch: it took a little over 100 years to do this.
Which seems a bit long for some rather simple equations, not one of
them uses more than cubed. Which brings me to what is new here, not
defining one cell by a current, but by information.
So
for the moment hold on to Ampere, Volt, and Ohm in a triangle which
is the position in current space.
