Fibonacci and continued fractions

The formula φ = 1 + 1/φ can be expanded recursively to obtain a continued fraction for the golden ratio:



All that is happening is that Fibonacci finds the next most accurate digit to 1/2, and the converted (I do not know how) gets the next prime number.  It is about making the number line a bit more accurate to accommodate the next set of separable groups. So the number line gets one more integer, and enough fractional tick between integers to count  the whole set of groups, to within one half one. One or one half, same result with an exchange of variables.

So, it comes as no surprise that Einstein added 1/2 to the vacuum noise because the number line physicists use would be scaled to the Higgs density. When the vacuum noise is one half, then Avogadro, the speed of light, and all the proton wave numbers would match. I will hazard to make a bold speculation that in normalized units of Fibonacci, counting down from one half, down to the precision of the proton, you will count out the gravitational constant.

It bears repeating what my theory has found, mainly be me fumbling around. I have found the implied number line used by physicists that matches the discoveries which match the vacuum.  Now I am lost in number line theory, and the only remaining constant seems to be the residual precision of the proton. And, there remains the implied curvature in the density of free space, and how in the world did that curvature and the sample rate and the relative size of two little bubbles ever get matched up.