| Topic: |
Science > Physics |
| User: |
"Douglas Eagleson" |
| Date: |
28 Aug 2006 12:38:46 PM |
| Object: |
Hamilton's Matrix used as a SUgra Connection |
Hamilton's Matrix used as a SUgra Connection
by Douglas Eagleson, 2006
A foundational relation proposed appears the connection of the basic
functor. A functor described in detail as a Lie connection, an algebra
to cause the formal differential.
All interaction then appears formalized. And this is just contemporary
modern physics. A matrix of momenta in four state is derived.
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There in small type is the connection. A variable one is to cause the
second to exist. And particle existence then denotes variable
appearance. This is a short condensed interpretation of all the high
nit-nit talking types.
So all appearance can be algebratically denoted. Language of
denotation appears to confound the common reader and the nit-nit do not
care to place their science in modern context. So here is Hamilton's
four state as the connection.
|H| = psi a common four state vector of hydrogen in a well
psi appears the probability.
So a connection of well appears the transform. And hydrogen as a bond
is used to exemplify.
A two connection interaction.
ct
a1
a2
a3
are the four state constant of vector representation. A deformation
defines these now in special transform of matrix system. A volume of
time as this differential appears to be the cause to exist in relation
to the special matrix. So I give all Hamilton's matrix this transform
to cause four state connection representation.
|H| -> J
-> appears the transform symbol
J denote the new use of Hamilton's matrix- a scattered space.
So in analogy to common scattered density transform, I have denoted
the symbol, |H|-> J, to represent the Hamiltonian as a connection.
A transformation of indicies is as follows.
unit momenta |H|
unit length J
SO all connection use of four state is allowed as long as an associated
length matrix appears.
It is this simple.
All stupid language of functors is not necessary and the length of the
unit matrix is always as required to solve the interaction. A four
state length matrix is a cause to geometry in formal algebra terms.
The scattering transfrom is that useful in another usage.
So all the n-th category language type can go home. Standard model
theory can be modifed to allow connections. Why abstract matrix and
the apply the algebra again nit-nit's.
See length as unit geometric form appears the square of the diagonal of
Hamilton's four state.
16 dimensions appear to represent four momenta. And the reason is
simple geometric necessity.
So 16-gra is formalized. And the set of diimensional form, J, is
rather simple plug and chug solution.
SO in keeping with people of better ability, 1 sugra is formalized. A
single connection model. To make the four state 2-sugra a 16X16, J,
matrix becomes necessary. Making the matrix to transform all J to the
single 4X4 the answer to all connection theory.
So the next installment has the exact transform of all, J matrix. Why
16x16 appears the scattering matrix is just geometry again. 16x16
dimensions of space formalized is the context of this theory class. SO
when the meaning of dimension is so simple, all four state in relation
to all interaction is dimensionally... and the answer is in the next
installment.
.
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