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^

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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