Fine Structure Constant

Here, I explore the fine structure constant—α— a mysterious number that hums at the edge of physics and
whispers of deeper truths.I bring no grand claims, only a love for patterns and a desire to share the wonder
they ignite.

Numbers are the pulse of creation. They shape the world in elegant arcs and rhythms—seen in the stars,
felt in the atom—while echoing through scripture with divine intent. Jesus said, “the very hairs of your
head are all numbered” (Matthew 10:30); Pythagoras mused, “all things are numbers”; and Galileo wrote,
“the laws of nature are written by the hand of God in the language of mathematics.”
Geometry and physics alike are the visible hymns of numbers, and α sings a subtle, profound note.

The Constant That Binds

The fine structure constant, α ≈ 0.00729735256 or roughly 1/137, governs the strength of electromagnetic
interactions. It’s the bridge between light, electrons, and the forces that hold matter together—
a dimensionless number, unchanging across the cosmos. Defined as α = e² / (4πε₀ħc), where e is the
electron’s charge, ε₀ the permittivity of free space, ħ the reduced Planck constant, and c the speed of
light, it ties the universe’s fundamental threads into a single knot.

A Number Beyond Measure

Unlike π or e, α resists a simple mathematical birth—it’s measured, not derived, a gift from experiment
rather than equation. Yet its value, so close to 1/137, teases at meaning. Why 137? A prime, indivisible
and enigmatic, it hints at a design too deliberate to ignore. Some call it the “fingerprint of God” in the
atom’s dance, a constant that balances chaos and order.

Echoes in Creation

Could α weave into a larger tapestry? Square it, and α² ≈ 0.000053, a whisper of scale. Invert it,
and 1/α ≈ 137.036, nudging past 137 with a precision that feels alive. Scripture nods to such intricacy:
“By Him all things consist” (Colossians 1:17). Perhaps α is a thread in that holding, a numeric echo of the
Creator’s hand stabilizing the electron’s orbit and the star’s glow.

This isn’t a conclusion—it’s a question, a spark. I invite you to ponder it, probe it, or spin it into your own
insights. Numbers like α connect us—to the universe, to each other, to something greater.
May this reflection kindle your curiosity and light a path through the mystery.

How to mathematically acquire the fine-structure constant by means of pi and phi:

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.

1 / 0.007297352569(5) = 137.035999079940028² = 18778.865043837324229

Efforts to solve this mathematically began with 18977.06203214114801425... (π⁸ x 2)
It is close to the above-mentioned number, and along with this starting number an end
number was required, like a book cover. All numbers are entirely pi (π) and phi (ɸ) based.

π¹  x π⁴ = π⁵
π²  x π⁴ = π⁶
π⁴  x π⁴ = π⁸ (x 2) = 18977.06203214114801425...
π⁸  x π⁴ = π¹²
π¹⁶ x π⁴ = π²⁰
etc.

A more detailed explanation:

3.141592653589793238462 = 1 / 0.318309886183790671537 (1 / π)
3.141592653589793238462 x 2 = 6.283185307179586476925
0.020531964509368670378    /    6.283185307179586476925 =
0.003267763643053385472 = 1 / 306.0196847852814533215 (π⁵)

9.869604401089358618834 = 1 / 0.101321183642337771443 (1 / π²)
9.869604401089358618834 x 2 = 19.73920880217871723766
0.020531964509368670378    /    19.73920880217871723766 =
0.001040161473295852296 = 1 / 961.3891935753044371132 (π⁶)

97.40909103400243723644 = 1 / 0.010265982254684335189 (1 / π⁴)
97.40909103400243723644 x 2 = 194.8181820680048744728
0.020531964509368670378    /    194.8181820680048744728 =
0.000105390391653493666 = 1 / 9488.531016070574007128 (π⁸)

1 -------------------------------   X   ------------------------------ (Base line and reversal point)

9488.531016070574007128 = 1 / 0.000105390391653493666 (1 / π⁸)
9488.531016070574007128 x 2 = 18977.06203214114801425
0.020531964509368670378    /    18977.06203214114801425 =
0.000001081935890528998 = 1 / 924269.1815234579471175 (π¹²)

90032220.84293327956713 = 1 / 0.000000011107134652876 (1 / π¹⁶)
90032220.84293327956713 x 2 = 180064441.6858665591342
0.020531964509368670378    /    180064441.6858665591342 =
0.000000000114025647246 = 1 / 8769956796.145963794865 (π²⁰)

etc.

0.020531964509368670378… / 18977.06203214114801425… = 0.0000010819358905289…
(2 / π⁴) / (π⁸ x 2) = 1 / π¹²

0.0000010819358905289… / π⁴ (97.40909...) and continue:

0.0000010819358905289 / π⁴ =
0.0000000111071346528 / π⁴ =
0.0000000001140256472 / π⁴ =
etc.
Adding up all of the layers to infinity = 0.0000010931582335562... =  

A visual explanation:

(Spectral lines perhaps?)

0.020531964509368670378… / 18977.06203214114801425… = 0.0000010819358905289…
0.020531964509368670378… / 18784.22352674753383243… = 0.0000010930430251818…
0.020531964509368670378… / 18782.24385007314313978… = 0.0000010931582335562…

18977.06203214114801425… - 192.83850539361418182… =
18784.22352674753383243… - 001.97967667439069265… =
18782.24385007314313978… - 000.02053196450936867… =
18782.22331810863377111…

Dividing by π⁴:

192.83850539361418182… / π⁴ =
...1.97967667439069265… / π⁴ =
etc. to:
...0.02053196450936867… (2 / π⁴)

Adding up the layers: =

194.8387140325142431432… (π⁴ / .5) + (2 / π⁴)

Next step acquiring the end (bottom) 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…

While working on possibilities a major clue presented itself:

When I subtracted the following 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 reasonably deduced that phi is part of the solution!
I decided to run with it and reverse 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…

I do not believe that these two special numbers 3168 and 31680 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. Earth's 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 7th formula section: 1, 2, 4, 8, 16

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…

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