Alpha ( α )
For your consideration, proof the fine structure constant can be mathematically derived.
The fine-structure https://physics.nist.gov/cgi-bin/cuu/Value?alph|search_for=fine+structure
scientifically measured has an approximate value of 0.007297352569. Mostly recognized but not
the next digit, so I split the next digit possibilities 0-9 (5), added it, and began work from there.
0.007297352569(5) 1/x = 137.035999079940028 2 = 18778.865043837324229
My efforts to solve this mathematically began with 18977.0620321411480142... (π8 x 2).
It is very near to the above-mentioned number, and along with this starting number an end
number was required, like a book cover. (All calculations are entirely pi (π) and phi (ɸ) based.)
What follows in short form are the steps required to work this out, and because there are so
many interesting mathematical possibilities in this material, I had to hold back information,
like different approaches to get the same end result, to keep things as simple as possible.
Self-explanatory details explaining why I started with: (π8 x 2)
3.141592653589793238462 = 1 / 0.318309886183790671537 (1 / π)
3.141592653589793238462 x 2 = 6.283185307179586476925
0.020531964509368670378 / 6.283185307179586476925 =
0.003267763643053385472
9.869604401089358618834 = 1 / 0.101321183642337771443 (1 / π2)
9.869604401089358618834 x 2 = 19.73920880217871723766
0.020531964509368670378 / 19.73920880217871723766 =
0.001040161473295852296
97.40909103400243723644 = 1 / 0.010265982254684335189 (1 / π4)
97.40909103400243723644 x 2 = 194.8181820680048744728
0.020531964509368670378 / 194.8181820680048744728 =
0.000105390391653493666 = 1 / 9488.531016070574007128
1 ------------------------------- X ------------------------------ (Base line and reversal point)
9488.531016070574007128 = 1 / 0.000105390391653493666 (1 / π8)
9488.531016070574007128 x 2 = 18977.06203214114801425 (π8 x 2) <<<
0.020531964509368670378 / 18977.06203214114801425 =
0.000001081935890528998 / π4 =
90032220.84293327956713 = 1 / 0.000000011107134652876 (1 / π16)
90032220.84293327956713 x 2 = 180064441.6858665591342
0.020531964509368670378 / 180064441.6858665591342 =
0.000000000114025647246 / π4 =
Etc.
(2 / π4) (π8 x 2) (2 / π4) / (π8 x 2)
0.020531964509368670378… / 18977.06203214114801425… = 0.000001081935890528998…
Dividing process using the divisor π4:
0.0000010819358905289 / 97.409091034002437236 =
0.0000000111071346528 / 97.409091034002437236 =
0.0000000001140256472 / 97.409091034002437236 =
Etc.
Adding up all of the layers to infinity = 0.0000010931582335562… = 
A visual explanation:
(Perhaps these lines represent spectral lines)
0.020531964509368670378… / 18977.06203214114801425… = 0.0000010819358905289…
- 192.83850539361418182…
0.020531964509368670378… / 18784.22352674753383243… = 0.0000010930430251818…
- 1.97967667439069265…
0.020531964509368670378… / 18782.24385007314313978… = 0.0000010931582335562…
Etc. =
-.020531964509368670378… = 18782.22331810863377111…
Dividing by π4:
192.83850539361418182… / 97.409091034002437236 =
...1.97967667439069265… / 97.409091034002437236 =
Etc. Same as above add up these layers to infinity =
194.8387140325142431432… (π4 / .5) + (2 / π4)
Next step, acquiring the end number:
194.8387140325142431432… / √(π8/ π) =
3.545281301022101405403… +
0.082127858037474681513… (8 / π4) =
3.627409159059576086916…
18782.22331810863377… - 3.627409159059576086916… = 18778.59590894957419502…
18977.06203214114801425… (Start #) -
18778.59590894957419502… (End #) =
198.4661231915738192301… -
0.269134858448657890432… (Explanation follows) = 198.1969883331251613…
18977.06203214114801425… - 198.1969883331251613… = 18778.86504380802285291…
or
18778.59590894957419502… + 0.269134858448657890… = 18778.86504380802285291…
Explanation for when I first subtracted these two numbers:
18778.865043837324229 (original number from the top of the page) -
18778.59590894957419502… (end #) =
0.26913488775003398… -
0.020531964509368670378… (2 / π4) =
0.248602923240665309622… 1/x =
4.022478846847383539716…2 =
16.18033607333465644263…
And noticing phi numbers, I reversed the process starting with (√1.25 + .5) x 10 =
16.18033988749894848204… √ =
4.022479320953551960229… 1/x =
0.248602893939289220053… +
0.020531964509368670378… (2 / π4) =
0.269134858448657890432… +
18778.59590894957419502… =
18778.86504380802285291… (original number now adjusted, and locked in by ɸ and π) √ =
137.035999079833116867867985771960524751261126710956764394872128728819663336…
1/x
0.0072973525695056931682062262973500731680835106878962634963700448348384385…
This number represents the limit of physical measurements. Phi is not included in the next and
final section (see below), which is entirely pi based and can only be arrived at mathematically!
Two familiar numbers 3168 and 31680. I do not believe that these are random numbers, especially
so close together, but were placed deliberately. If so, perhaps all those numbers are a language!
Wouldn't it be amazing if it says, "In the beginning God created the heaven and the earth."
?
Three interesting facts:
1. The value for the name “Lord Jesus Christ” in Greek numeric is 3168, the number of his name.
2. Earths dimensions fitted into a square has a perimeter of 31680 miles (7920 x 4).
3. He was born southeast of Bethlehem, at latitude 31.68 degrees North.
Inserting the final section to complete the formula:
137.035999206157399222318479001000262689537834609473995213691525285349733120…
1/x
0.00729735256277875402980213640259738753519520968347474978298633008561682393…
Observe the interesting number pattern in that last section: 1, 2, 4, 8, 16
Drawing to clarify:
The first 3 sections span the distance between (π8 x 2) and the bottom line or end number.
From there the last 3 sections bounce back up to the alpha line, like a fold as in a curtain!
Speed of light in miles per second:
18778.8650438… - 
= 18628.2396760… x 10 = 186282.396760…
18778.8650784… - = 18628.2397106… x 10 = 186282.397106…