14 May 2019 AD; Feast of St Matthias

 

The Fine Structure Constant value is exactly the same as calculated before.

Now, I added another set of values - Imaginary ("Invisible") Entry, in addition to Real Entry ("Visible"). So, now the calculations are complete.

Both Entries values are identical, they just differ by the direction of the force (The Invisible part is minus pi radians, and the Visible part is 0.0 radians).

Here is the printout from the Fortran program for the constant C_16 as an X-value in the main Equation (Book 6, part I and part II).

As you can see both components of the Electrostatic Force Coupling Constant are the same - and in exact agreement with experimental values, only more precise:

 

plus/minus 0.72973525640796683966D-02

This is also known as a Fine Structure Constant.

 

ALFA C_16 INVISIBLE
A + Bi
-0.72973525640796683966D-02 -0.26986970776850127165D-15
MAGNITUDE & THETA IN RADIANS
0.72973525640796683966D-02 -0.31415926535897562566D+01
MAGNITUDE & THETA IN DEGREES
0.72973525640796683966D-02 -0.17999999999999789679D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.72973525640796683966D-02 0.62831853071795489285D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.72973525640796683966D-02 0.35999999999999783995D+03

ALFA C_16 VISIBLE
C + Di
0.72973525640796683966D-02 -0.00000000000000000000D+00
MAGNITUDE & THETA IN RADIANS
0.72973525640796683966D-02 -0.00000000000000000000D+00
MAGNITUDE & THETA IN DEGREES
0.72973525640796683966D-02 -0.00000000000000000000D+00
MAGNITUDE & THETA FINAL IN RADIANS
0.72973525640796683966D-02 -0.00000000000000000000D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.72973525640796683966D-02 -0.00000000000000000000D+00

PRODUCT
( A + Bi ) * ( C + Di )
-0.53251354444480109387D-04 -0.19693344039519035433D-17
MAGNITUDE & THETA IN RADIANS
0.53251354444480109387D-04 -0.31415926535897562566D+01
MAGNITUDE & THETA IN DEGREES
0.53251354444480109387D-04 -0.17999999999999789679D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.53251354444480109387D-04 0.62831853071795489285D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.53251354444480109387D-04 0.35999999999999783995D+03

DIVISION
( A + Bi ) / ( C + Di )
-0.10000000000000000000D+01 -0.36981865052937434868D-13
MAGNITUDE & THETA IN RADIANS
0.10000000000000000000D+01 -0.31415926535897562566D+01
MAGNITUDE & THETA IN DEGREES
0.10000000000000000000D+01 -0.17999999999999789679D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.10000000000000000000D+01 0.62831853071795489285D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.10000000000000000000D+01 0.35999999999999783995D+03

SUM
( A + Bi ) + ( C + Di )
0.00000000000000000000D+00 -0.26986970776850127165D-15
MAGNITUDE & THETA IN RADIANS
0.26986970776850127165D-15 -0.15707963267948965580D+01
MAGNITUDE & THETA IN DEGREES
0.26986970776850127165D-15 -0.90000000000000000000D+02
MAGNITUDE & THETA FINAL IN RADIANS
0.26986970776850127165D-15 0.47123889803846896740D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.26986970776850127165D-15 0.27000000000000000000D+03

DIFFERENCE
( A + Bi ) - ( C + Di )
-0.14594705128159336793D-01 -0.26986970776850127165D-15
MAGNITUDE & THETA IN RADIANS
0.14594705128159336793D-01 -0.31415926535897749083D+01
MAGNITUDE & THETA IN DEGREES
0.14594705128159336793D-01 -0.17999999999999894840D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.14594705128159336793D-01 0.62831853071795684684D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.14594705128159336793D-01 0.35999999999999897682D+03

INVISIBLE TO THE POWER VISIBLE
( A + Bi ) ** ( C + Di )
0.96447867131374875882D+00 -0.22114846196629376479D-01
MAGNITUDE & THETA IN RADIANS
0.96473217726031867958D+00 -0.22925309205967057263D-01
MAGNITUDE & THETA IN DEGREES
0.96473217726031867958D+00 -0.13135234615343249764D+01
MAGNITUDE & THETA FINAL IN RADIANS
0.96473217726031867958D+00 0.62602599979736188729D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.96473217726031867958D+00 0.35868647653846568346D+03

VISIBLE TO THE POWER INVISIBLE
( C + Di ) ** ( A + Bi )
0.10365571125033230526D+01 0.13763661560364869278D-14
MAGNITUDE & THETA IN RADIANS
0.10365571125033230526D+01 0.13278247184204956470D-14
MAGNITUDE & THETA IN DEGREES
0.10365571125033230526D+01 0.76078752298641344781D-13
MAGNITUDE & THETA FINAL IN RADIANS
0.10365571125033230526D+01 0.13278247184204956470D-14
MAGNITUDE & THETA FINAL IN DEGREES
0.10365571125033230526D+01 0.76078752298641344781D-13

DOT PRODUCT (ENGINEERING NOTATION) AC + BD
-0.53251354444480109387D-04

CROSS PRODUCT IN ENGINEERING NOTATION AD - BC
0.19693344039519035433D-17

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