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From: Archimedes Plutonium on 28 Mar 2010 02:34


Archimedes Plutonium wrote:
(snipped)
>
> Now I vaguely remember that in set theory, the complimentary set, that
> multiplication
> of complimentary sets is equivalent to the union of specified other
> sets relative
> to the complimentary sets. What I am trying to say, without refreshing
> my memory
> is that the union of sets is an additive relationship but that the
> complimentary set in
> multiplication is this union of sets.
>
> So that I am on the right path in saying that the Uncertainty
> Principle is another form
> of the formula Eucl geom = Ellipt unioned Hyperbolic geometries.
>
> That the Uncertainty Principle is multiplication of complimentary sets
> while the geometry
> formula I give is the union of NonEuclidean geometry sets.
>
> So let me refresh my memory, but I sense I am on the correct path of
> truth.
> And also, one on reflection, it makes sense that Uncertainty in
> physics would be
> akin to complimentary set in set-theory, where a complimentary set is
> a set outside
> the set that is in question. So we begin to sense that set theory and
> uncertainty and
> geometries are all melding together into a coherent and comprehensive
> picture.
>

Now what I was trying to remember in the earlier post today was
DeMorgan's Laws
of set operations, and I was looking for the complement operator to be
like multiplication
whereas the union operator to be like addition.

I have refreshed my memory of DeMorgan's Laws:

(A U B)" = A" {} B"
(A {} B)" = A" U B"

I do not know what is used for the intersect symbol, so I used {} and
for the
Complement symbol I used "

I remember somewhere in my education that complement is treated as if
it is
multiplication, and when I first heard this was rather perplexed for
it seemed to be
smaller than union, whereas in numbers the multiplication is usually
larger.

But if I am on a correct path of truth, then I can start to see where
the Uncertainty
Principle is the complement set, and where the formula Eucl = Ellipt
unioned Hyperbolic
is the union set and that both are the same according to DeMorgan's
law. This of course
would be a remarkable discovery for it links and ties together Physics
to Math as never
before and it solves the old standing problem of the 20th century as
to make sense of
Quantum Strangeness. It no longer would be strange but simply a
transformation or conversion into the dual pairs of elliptic and
hyperbolic geometry. This discovery, if
true, makes more clear what happens in the Double Slit experiment and
what duality
means in Quantum Mechanics.

Archimedes Plutonium
http://www.iw.net/~a_plutonium/
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
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