Is The Universe Mathematical? Revisiting My Small Number Hypothesis

[Dubbelosix]

My " small number hypothesis" is relatable to some degree whether the universe is inherently mathematical. It relies on observations if fundamental values whose relationships resemble close numerical values. I go onto show how those values can predict certain stringent important fundamental values found in physics. From here on in, this post is a rehash of what I found and in the next few weeks I will try and expand on this if I can.

 

Dirac must have been disheartened by the lack of support on his large number hypothesis and I feel some of his pain. There is equally a small number hypothesis that requires attention. The charged ion of nitrogen has a mass approx to 5 * 10^(-26) kg and for oxygen it is the same roughly. Hence Avogadro's number is also approx to the same number for a 24 cubic meter of space for an ideal gas. Hydrogen being an electrically charged proton pulled vertically by an electric field is approx to 2*10^(-27)kg. An alpha particle from radium has a mass approx to 5*10^(-27) kg and a neutron with a mass only slightly bigger has a mass approx to 5*10^(-27) kg. With protons and neutrons in mind, the neutron is slightly bigger and the question of why seems to lye with charge itself contributing to the total mass observed Gm^2 ~ nhc. This was even known to Feymann who stated that while the neutron was electrically neutral it has a more complex configuration involving a charge distribution making it slightly heavier than a proton.
For electric charge to mass measurements, further study has shown remarkable numerical agreement with a small number hypothesis. For instance, the cathode ray for discharged electrons in gas reveals ~ 2*10^(11) while electrons from hot tungsten is the same including electrons from the more general case of the photoelectric effect. There are many more cases of this number obeying fundamental processes involving electrons. Here's another I found just now, the Weiss magnetic moment is approx to 2*10^-24 where we should note that the proton mass being 1,836 times larger than the electron approx at 2*10^-27, the triton magnetic moment is much closer to the " district" as it is approx to 2*10^-26.

At room temperature for air is 28.8kg for the 24 cubic meter of space. Further the measured density of liquid air is 1000kg/cu.m

The standard calculation for the lattice is

24/(28.8 ))/1000) = 833/1

From here I noticed that when it divided by 6 it is approximately equal to the fine structure constant

833/6 ~ 137

By noticing this, I further took

(1/833)/6 ~ 8*10^(-6)

Which is further the number relating to the wavelength in meters of red light. Since we where talking about the ideal gas in 24 cubic meters of space, the fact that 6 was used to fond the approximate value of the fine structure was a bit of a surprise but understandable as it conveys it self 3+3. In hypothesising this I decided to take the inverse function

3^√833 ~ 1

But stranger if not just a matter of curiosity, adding 833 directly with 137 was nearly the density of liquid air off by a factor of 30.

To note, while many numbers we have noticed approximations to, that fine structure 1/137 is much larger in comparison.

The biggest surprise was the following speculation

833/137*10^(-11) ~ G

The gravitational constant. Notice that we spoke about 10^(11) in electron dynamics. Maybe there's something in this, maybe there isn't, but I find some of these corresponding values curious at best.

Edited March 29, 2021 by Dubbelosix

[Dubbelosix]

Perhaps, even before I try and find new strange and curious mathematical relationships, I might write up on Dirac large number hypothesis first and then continue from there.

[HallsofIvy]

It isn't the "universe" that is mathematical, it is people who are mathematical and impose numbers on their vision of the universe.

[Dubbelosix]

I'm open to this, but again, I have to pose questions.