My apologies for not
making this essay “simple”. Evidently I’m
not as smart as Einstein to break it down for a two year old. On last night’s Zodiac killer episode they
said all you need as an IQ of 126 to land any job you want and after that it’s
just gravy. I’ll believe it when I see
it. Of course the thought crossed my
mind last night that maybe the person I think of as Mal Evans is really the
spirit of a now dead Zodiac killer what with all those word games and puzzles. But there is a difference because none of our
clues are as cryptic as a Batman episode as these clues were. We were going to do some Beatles stuff at the
end of this essay but I suspect that we won’t have time. We already served up Beatle material as a
side dish on our last posting so I guess we’ll just hold off on serving up any
main courses for now.
We’re doing the
hyperbolic thing one more time till all you readers get good and sick of
it. This paragraph covers “Geometric
Background” and you might want to skip to the next paragraph is you know this
stuff here. First of all we have to
learn to “think in reverse”. That’s hard
because our visual cortexes have been wired since we were two to reason along
certain lines. You know it has something
to do with the words concave and convex.
We normally relate to convex space.
Convex lenses are the more common type on optics both because they deal
with far sightedness, the more common visual ailment, and also because they are
the kind of lenses used in cameras. Some
may say “It’s just a question of which way the arc bends. Like they used to say about desegregation in
the south. “Nobody is against bussing -
- it’s just a question of which way the busses run”. We’re going to be running the busses the
other way. For instance many in the
construction business may know the coordenates of a particular roof line on a
home is a prospective buyer asks, but may now know the number of degrees in the
slope. If he had arc functions on his
calculator he could look it up. We
talked about light “bending away” from matter in hyperbolic or concave
space. But Alice in Wonderland might
come along and say “Well, maybe it isn’t that.
Maybe the light is just attracted to the NON space!” We are going to have to think in such strange
terms. First of all you have to know
that concave space can be defined as “That which has a lower refraction index
than ether”, which of course has none.
So it’s a case of “less than zero” some may say. Perhaps.
Any light source will bend out rather than in if it enters ANY substance
with a LOWER refraction index than that which it was traveling in already. So that number clearly need not be zero. Some may wonder if we are talking about “mirror
space”. Let me put it this way. We know in “natural trig” that sign and
cosine coordenates make up a circle, where in hyperbolic trig these are defined
by a ninety degree hyperbola. Keep that
number ninety in mind later. Some may
argue that it is “Not backwards but sideways and reversed”. I’ll illustrate. In circular trig the tangents form kind of a
vertical “S” where the points of the S run up and down. Actually if you analyze it it’s in reality a
reverse “S”. Look at one. It’s the spikes on a heart beat scope. Now we have the hyperbolic tangent. This indeed is a real horizontal “S” with the
points going flat to the side left and side right. So- - to convert from one to the other you
either in Paint lingo rotate it 90 degrees to the left and use the horizontal
flip, or else- - you can do the vertical flip FIRST and then rotate it ninety
degrees. Either one will get you the
same thing. One tangent goes to infinity
with limited lateral ability- and then starts over at negative infinity for a
new cycle. The other one has unlimited “latitude”
but will never exceed the bounds of one and negative one. The hyperbolic world values never exceed a
one. This could be a key clue. I would as a side note warn you readers not
to over extrapolate on your own. If we
don’t give the example, you better not do it yourself.
Hey, this wasn’t
easy for me either to figure out but I told you people I’d try and do it. But we have to get just a little more “extential”
than I planned. You can rightly deduce
one thing. Hyperbolic matter would have
to exist in the form of a gas - - not a liquid or solid. I was musing on this knowing that under
Romulan cloaking - - a person would have to exist as a gas and relate to
gasses. These couldn’t disappear altogether
because you wouldn’t be able to breathe in the oxygen and you’d suffocate. How many of you thought of that? We know from chemistry that “gasses expand to
fill the volume of the container they are in” and they have a whole set of
physical laws that apply exclusively to gasses.
So if something is in hyperspace- - it in a sense FILLS UP the whole
universe at once. This may be a bit
metaphorical but we’ll come back to it.
Now though I’d like you to picture an hour glass. (more elaboration in paragraph four) We know
that tangents at 45 degrees are a one. Here’s
another rabbit side trail - - - it’s wrong to extrapolate the whole “range of
tangents” thing to specific readings.
They go to infinity in circular and to just a ONE in hyperbolic. We also know that hyperbolic is “center
focused” whereas with circular no part of the circle is less important than any
other part. This whole circle thing is
but an optical illusion to begin with - - and we discussed this aspect before
mocking God for “running out of time to create more things in the universe”. But the whole “circle” thing works. Actually we live in what you would call an “outside
– in” universe. But hyperbolic space is
an “inside – out” universe. I’ll
explain. We see every object as if on
the outside looking IN at it. We don’t
view life from the Object’s point of view but our own. Capish?
I’m going to hit this next topic right now. In photography we have objective or real
images and also apparent images- - that we see.
It can be argued that distance numbers between lens and object can never
fall below an index “modification” of ONE meaning no modification. I guess that would be zero refraction- if the lens were flush with the object. But the other way from one we can go to
Infinity- - and indeed beyond infinity to upside down and shrinking. Don’t over-extrapelate that. But look at Infinity there. In any object focused in a real image by a
convex lens- - - each spot or detail in the projected picture image- - if it
were replaced by an eyeball viewing OUTWARD - - that eye would see just one
color. It would only see Itself, in
other words. In this strange Ayan Ran
paradox - - - to be completely centered on Self and to see Self as filling the
whole Universe and being a center of it- - is to be “properly focused”. Our souls may be the Image- - - but the actual Object the image represents
would be “Creation in the Mind of God”.
And our SOUL - - - IS that object image and if our Mind (the lens) is
functioning properly WE, our souls- - will “be on focus”. Do you catch that. So really when any camera lens is focused at
a value of infinity it is it’s own stated F stop value- - so can be said to
have a factor of one. Of course as the object
comes closer- - the Focal length interval will necessarily go up.
I’m aware of how
much space we used. One more point. Harken back to that whole “sideways” thing
again. Now picture an hour glass as we
said before. The sane mounds up at an
angle of 45 degrees. The tangents would
be one but this is basically to conform to the original hyperbolic equation and
your average hyperbolic chart which deals in ninety degrees. If you split 90 degrees vertically in two is
breaks down to 45 degrees, of course.
Remember that in a hyperbolic chart- - the “space” is what is under the
line. So it can be argued that perhaps
76% of the area on a tight angle chart may be shaded in, but not all of
it. 76%, which is a key figure for you
math people. This represents the number
ONE. You are a ONE - - and arguably are
only entitled to 76% of your hopes and dreams being met alone. Or Jefferson or great people are responsible
for 76% of the ideas in the Declaration of Independence, and not all of
it. No matter how many people you can
have you can never exceed 100% happiness.
If you think of life as holding up a football plackard card to spell out
a message from the bleechers in football games- - you show the “presentation”
side of the care Outward and what’s on the CARD is not meant for you to
see. Just as YOU present your own COLOR
outwards of the focused light that hits You so you shine in your own Color
while filling up the whole universe in your “gassious state”. Capish?
NOW get ready for our final point.
I keep getting away from that hour glass. Pretend that sand is like some substance you
can carve through like a Milky Way or something. If you slice vertically you get a
hyperbola. If you slice horizontally you
get a circle. If you are a bit oblique
but mostly horizontal you get an elipse- - of what you get when you approach
the speed of light. If you are off axis
vertically- - - your own hyperbola will be under 270 degrees. That’s right.
You are not the SAND - - YOU are the Space. It’s like Bart telling Lisa “Well, YOU are
the Cow Dung”. You have to think of
Being the thing you think you are not. And
you know again that even in the optical example - - you exist not in the “enclosed
area” of the 90 degree hyperbola but in the other 270 degrees. In hyperbolic trig the 76% represents the
ONE. You can of your own power only ever
hope t achieve 76% happiness. I doubt
most people can even achieve THAT much without help. You’ve heard it said “There are old pilots
and bold pilots but there no OLD and BOLD pilots. If the horizontal represents the OLD and the
vertical represents the BOLD this is some kind of analogy for you, if not the
best. One can also see oneself as “The
more off center you are the more rounded your hyperbola is”. So that you are cheating life a little. Maybe this represents the immature like with
kids getting “more than their fair share” having rounded off hyperbolas that
become more sharply curved (and dangerous?) later on. But as more sand falls into the hour glass
the “less off center” you will appear to be- - just by virtue of getting older
and not even particularly by making any effort at it. OK we are done.

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