The following is my { Ebuc } two methods of explorations with the Fine Structure Constant{ FSC } aka the ' couuping constant '.
..." The fine-structure constant α is of dimension 1 (i.e., it is simply a number) and very nearly equal to 1/137. It is the "coupling constant" or measure of the strength of the electromagnetic force that governs how electrically charged elementary particles (e.g., electron, muon) and light (photons) interact."..
Part 1}
FSC = .............0.00 72 97 35 25 62 78 71 35 75 15 76 12 44 25 34
Pi^3.00003 = 31.00 73 41 51 29 30 84 72 01 62 13 75 71 41 2
The bold 2 in the above FSC is because France--some years back-- had made new fine tuning adjustment to the value that replaced the integer 9 with a 2.
The Pi^3.00003 value was my exploration. 31 appears here on rational side, and is significant to me, for three reasons.
1} the 5-fold icosahedron has a set of 31 primary great circles, as found in Synergetics { B Fuller } ---not presented is left-skew and right-skew set of the 31 ergo 62 great circles----
...Putting aside the whole rational 31, the differrence between 0.00 72 97 { FSC } and .00 73 41 is 0.71 50 62 { Pi^3.0003 }...
2} Pi^3 { XYZ } = 31.00 62 7 66 80 2998201754763150671
3} some or many animals have 31 bilateral spinal nerves ---total 62 as both left and right 31---
Part 2 and more recent exploration}
FSC subdivisions via my Space-time Horn Tori Invaginations { frequency? }. 18/0, 24/0 etc, and I stop with 180/0 as that is 18 plus 100 and gives us our first repeat of the integers/digits of the initial 18/0. Any pattern we see in these irrationals is going be related to hexa jumps of six. I see some little patterns occurring.
...note: I first wanted to show the relation between the FSC and my Cosmic Pi-Time value { arrived at via Pi^4 minus Pi^3{ XYZ } }
FSC = 0.00 72 97 35 25 62 78 71 35 75 15 76 12 44 25 34
FSC * 9,100.43 61 46 20 67 39 70 81 34 90 22 64 6,
> = Cosmic Pi-Time... 66.40 90 91 03 40 02 43 72 36 44 03 32 68 87 05
Now below I begin the
....note: 18/0 Space-time torus = 6 invaginations{ frequency }, and 24/0 = 12 invaginations { frequency }
FSC =..........0.00 72 97 35 25 62 78 71 35 75 15 76 12 44 25 34
18/0 > /6 =.. 0.00 12 16 22 54 27 13 11 89 29
24/0 > /12 = 0.00 06 08 11 27 13 56 55 94 64
18/0......... = 0.00 04 05 40 84 75 71 03 96 43
>>>/180/ = 0.00 00 40 54 08 47 57 10 39 64----- note:....this is the repeat I spoke of above, is significant to me, because, if we have 92 positive elements of Universe, and 92 negative elements of Universe that totals to 184. In Synergetics Fuller has a twones of diametically opposite axis poles added to any system, and a multiplicative twoness added to any system involing inside-ness and outside-ness. So we remove 4 of the 184 and we arrive at 180 above. I dunno
/24/0 .........= 0.00 03 04 0 56 3 56 78 27 97 32
/30/0......... = 0.00 0 24 3 24 50 85 42 62 37 85
/36/0...........0 = 0.00 02 02 70 42 37 85 51 98 21
---tho using a initial zero, the duals are tangent----
/42/0........... = 0.00 01 73 74 64 89 59 01 69 89
---no symmetrical dual set numbers begin at 42 { 6 * 7 }-------
/48/0............ = 0.00 01 52 02 81 78 39 13 98 66
/54/0............ = 0.00 01 35 13 61 58 57 01 32 14
/60/0............ = 0.00 01 21 62 25 42 71 31 18 92
/66/0............ = 0.00 01 10 56 59 47 92 10 17 2
..../66.4 etc...= 0.00 01 09 89 52 26 75 79 48 35
/72/0............ = 0.00 01 01 35 21 18 92 75 99 1
/78/0............. = 0.00 00 93 55 58 02 08 70 14 56
---- first set of four initial zeros appear here at 78 and that is eleven interations of 18/0-----
/84/0............. = 0.00 00 86 87 32 44 79 50 84 94
/90/................ = 0.00 00 81 08 16 95 14 20 79 28
/96/0............... = 0.00 00 76 01 40 89 19 56 99 33
/102/................ = 0.00 00 71 54 26 72 18 41 87 6
/108/................ = 0.00 00 67 56 80 79 28 50 66 07
/114/................ = 0.00 00 64 011 86 4 58 58 5 20 6
---our return of a symmetrical dual set-----
/120/............ = 0.00 00 60 81 12 71 35 65 59 46
/126/0.......... = 0.00 00 57 91 54 96 53 00 56 63
/132/............ = 0.00 00 55 28 29 73 96 05 08 6
/138/............ = 0.00 00 52 87 93 66 39 70 08 23
/144/............ = 0.00 0 05 0 67 6 05 9 46 37 99 55
---here, using initial zero dual sets are not tangent---
/150/............ = 0.00 00 48 64 90 17 08 52 47 57
/156/............ = 0.00 00 46 77 79 01 04 35 07 28
/162/............ = 0.00 00 45 0 45 38 61 90 04 4 04
--first of two dual sets appear---
/168/............. = 0.00 00 43 43 66 22 39 75 42 47
/174/............. = 0.00 00 41 93 88 07 83 21 09 97
/180/............. = 0.00 00 40 54 08 47 57 10 39 64
Clarifying Addendum's to FSC:
The two primary factors or pathways involved in arriving at the invagination angle within the Space-time Torus are
1} ..the sum of invaginations I was refering to was the sum angles of invagination { v or ^ } equal the FSC.
...1a} in v , and then back out, from the outer positive curvature of Gravity (> <),
.....2a} in ^ and then back out, from inner negative curvature of Dark Energy <)(>.
With the minimal, 18/0 Space-time Horn Tori, we have six angles occurring at these numerical locations---the point of the angle--- in the 2D pattern of the 3D torus field
..18/0......3p......6......9.....12...15.
Here below is the partial presentation ---does not present the geodesic curvatures of torus--- between values 1-2p, 4-5p, 7p-8 etc of the four planes ---conceptually ascertained-- bisection of the horn torus. Birds eye view of them would approximate this ...( (( ( ) )) )....
.........1..............5p....7p................11p......13p...............17p...........loops back around
-
18/0......................6.............................12..............................18/0 loops back around and share 0 location
................3p.......................9................................15......................loops back around
-
...........2p.....4.................8......10......................14.....16.................loops back around
Conclusion:
These angle values are of course smalle than the FSC, because all I did was subdivide FSC by number of angles involved in the torus frequency{ invaginations } to see if there was any aha! moment of revalation with a pattern in the numerical values.
I found nothing of revelationary significance with any particular value. At best, --and only a later afterthought, I would have hoped to find something of significance to my Cosmic Pi-Time Value, and as you can see nothing stand out there.
FSC * 9,100.43 61 46 20 67 39 70 81 34 90 22 64 6 i.e. 9,100 times FSC to get to my Cosmic Pi-Time value.
> = Cosmic Pi-Time... 66.40 90 91 03 40 02 43 72 36 44 03 32 68 87 05
And when subdividing the FSC by Cosmic Pi-Time
/66............ = 0.00 01 10 56 59 47 92 10 17 2
..../66.4 etc...= 0.00 01 09 89 52 26 75 79 48 35 arrived at via Pi^4 minus Pi^3{ XYZ }
FSC..................0.00 72 97 35 25 62 78 71 35 75 15 76 12 44 25 34
Pi^3.00003 = 31.00 73 41 51 29 30 84 72 01 62 13 75 71 41 2
Yes, this looking for patterns in the irrational side is not the most sophisticated methodology, yet, I imagine various physicists have done some of this to find some connection to the FSC value, in other ways.
At best, with the Cosmic Pi-Time subdivision of FSC resultant, we see this triplet like occurrence,
.../66.4 etc...= 0.00 01 09 89 52 26 75 79 48 35 arrived at via Pi^4 minus Pi^3{ XYZ }
...............................................9 89....2 2.....75 7................
FSC....................0.00 72 97 35 25 62 78 71 35 75 15 76 12 44 25 34
....................................................5 25....78 7............5 75................2.44.2.....
.." The fine-structure constant, by contrast, has no dimensionsor units. It’s a pure number that shapes theuniverse to an astonishing degree — “a magic number that comes to us with no understanding,” as Richard Feynmandescribed it. Paul Dirac considered the origin of the number “themost fundamental unsolved problem ofphysics.”....
