Say we have a following formula
E - 1/(M_1c^2)^1/2
+ E - 1/(M_2c^2)^1/2 = N
Where
E = energy
M_1 and M_2 are rest masses with c^2 (celeritas squared of light speed)
N =some number related to Energy
Let us substitute
a = E - 1/(M_1c^2)^1/2
An
b = E - 1/(M_2c^2)^1/2
So we now have
a + E - 1/(M_1c^2)^1/2 = N
And
a + b = x
Using some algebra we find
(a -b)(a + b) = N ( a - b)
The left hand side becomes a difference of squares ie.
a^2 - b^2 = N(a - b)
This will now give
a^2 = E - 1/(M_1c^2)^1/2
And
b^2 = E - 1/(M_2c^2)^1/2
These solutions are important and can relationship to the golden ratio.
Now let's continue this. We can impose an extra relativistic correction to
(a^2 -b^2) = N/N_0
It is now a relativistic operator in the style of the ratio of energies it's a rough approximation without the need of the gravitational gamma function. This is highly unique because, it's said there are no relativistic operators but I have proven one exists.
Say the ratio represents a dimensionless set of numbers related to an energy solution
E(t)/E_0 = e^ λt
Now If
a^2 +b^2 = 9
as a number in an atom, it follows a cicular trajectory. If we plug in
a^2/9 +b^2/4 = 9
it travels the path in a hyperbolic trajectionary. Yet if N=O we get Bohrs "stable/special" trajectory where no radiation is given off:
N(a^2/9 - b^2/4) = 0
E - 1/(M_1c^2)^1/2
+ E - 1/(M_2c^2)^1/2 = N
Where
E = energy
M_1 and M_2 are rest masses with c^2 (celeritas squared of light speed)
N =some number related to Energy
Let us substitute
a = E - 1/(M_1c^2)^1/2
An
b = E - 1/(M_2c^2)^1/2
So we now have
a + E - 1/(M_1c^2)^1/2 = N
And
a + b = x
Using some algebra we find
(a -b)(a + b) = N ( a - b)
The left hand side becomes a difference of squares ie.
a^2 - b^2 = N(a - b)
This will now give
a^2 = E - 1/(M_1c^2)^1/2
And
b^2 = E - 1/(M_2c^2)^1/2
These solutions are important and can relationship to the golden ratio.
Now let's continue this. We can impose an extra relativistic correction to
(a^2 -b^2) = N/N_0
It is now a relativistic operator in the style of the ratio of energies it's a rough approximation without the need of the gravitational gamma function. This is highly unique because, it's said there are no relativistic operators but I have proven one exists.
Say the ratio represents a dimensionless set of numbers related to an energy solution
E(t)/E_0 = e^ λt
Now If
a^2 +b^2 = 9
as a number in an atom, it follows a cicular trajectory. If we plug in
a^2/9 +b^2/4 = 9
it travels the path in a hyperbolic trajectionary. Yet if N=O we get Bohrs "stable/special" trajectory where no radiation is given off:
N(a^2/9 - b^2/4) = 0
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