ECO - Electron Charge Only - Fixing Other Constants - Root Algorithm & Results

https://spark.iop.org/perrin-tube-sign-electron-charge

Solving for the electron charge only (part of step 2 of The Algorithm), here is a simple BASIC routine and results.  BASIC is being used so the algorithm is easily viewable and verifiable. 

Here is the BASIC code (online interpreter - https://www.calormen.com/jsbasic/):

1 REM variables only recognize first two characters thus xx1 and xx2 are same variable

10 PRINT "Hello World"

100 Rem New Algorithm 1.1 5/15/2023 MR

102 count = 0

106 print "error, dx, q"

110 Dim x2(7),sign(7), dx(7)

120 Rem Init some vars

125 aminerr=1.0

132 res = 1e-10

200 xpi=3.14159265358979323846

250 rem 8 coefs here

255 Rem elementary charge (e)-0

260 x2(0)=1.60217662e-19

263 xorig(0)=x2(0)

265 Rem Planck's constant (h)-1

300 x2(1)=6.62607004e-34

325 xorig(1)=x2(1)

350 rem eletron mass (Me)-2

400 x2(2)=9.109383560899034e-31

425 xorig(2)=x2(2)

450 Rem Proton radius (Rp)-3

500 x2(3)=8.41235640479985e-16

525 xorig(3)=x2(3)

550 Rem Rydberg Constant (R_H or R_{\infty})-4

600 x2(4)=10973731.5685083

605 xorig(4)=x2(4)

610 Rem Permittivity of free space (e0)-5

620 x2(5)=8.854187817e-12

650 xorig(5)=x2(5)

701 Rem Speed of Light (c)-6

702 x2(6)=299792458.0

704 xorig(6)=x2(6)

706 Rem fine-structure constant (\alpha)-7

708 x2(7)=0.00729735256

709 xorig(7)=x2(7)

710 For i = 0 to 7

720 sign(i)=0

730 dx(i) = 0.001e-19

740 next i

750 Rem define bit to be twiddled here

1030 eold = err

1050 gosub 1600

1075 x2(0)=1.602e-19

1100 print err;", ";dx(0);", ";x2(0)

1150 rem Main Loop1 

1210 z1=x2(0)+dx(0)

1220 z2=x2(0)-dx(0)

1230 xsave=x2(0)

1240 x2(0)=z1

1250 eold = err

1260 gosub 1600

1270 e1=err

1280 x2(0)=z2

1290 gosub 1600

1300 e2=err

1310 x2(0)=xsave

1320 err = eold

1325 rem print x2(0),z1,z2

1327 rem print err,e1,e2

1330 if abs(e1) < abs(err) then x2(0)=z1

1332 if abs(e1) < abs(err) then aminerr=e1

1340 if abs(e2) < abs(err) then x2(0)=z2

1342 if abs(e2) < abs(err) then aminerr=e2

1350 if (abs(e1) >= abs(err)) and (abs(e2) >= abs(err)) then dx(0)=dx(0)/10.0

1360 if abs(aminerr) < res then goto 1500

1370 gosub 1600

1380 goto 1100

1500 gosub 1600

1510 print err;", ";dx(0);", ";x2(0)

1525 end

1550 REM Subroutines:

1600 rem starting error

1700 xerr1=x2(2)*x2(0)^4/(8*x2(6)*x2(5)^2*x2(1)^3*x2(4))

1800 yerr2=-xpi*x2(3)*x2(4)/(x2(7)^2)

1900 err = xerr1 + yerr2 - 1.0

2000 return

Here are the results for a resolution of the error of the polynomial from ideal, res = 1e-10 case:

error, dx, q

-0.0005446185946568205, 1e-22, 1.60217662e-19*

-0.0009854958223842747, 1.0000000000000001e-23, 1.602e-19

-0.0007358946446630599, 1.0000000000000001e-23, 1.6021e-19

-0.0004862467236895762, 1.0000000000000001e-23, 1.6022e-19

-0.0002365520536283805, 1.0000000000000001e-23, 1.6023000000000001e-19

0.000013189371356858715, 1.0000000000000001e-23, 1.6024000000000002e-19

0.000013189371356858715, 1.0000000000000001e-24, 1.6024000000000002e-19

-0.000011786875279473641, 1.0000000000000001e-24, 1.6023900000000003e-19

-0.000011786875279473641, 1.0000000000000002e-25, 1.6023900000000003e-19

-0.000009289271657997311, 1.0000000000000002e-25, 1.6023910000000003e-19

-0.000006791663360261602, 1.0000000000000002e-25, 1.6023920000000003e-19

-0.000004294050386932646, 1.0000000000000002e-25, 1.6023930000000004e-19

-0.0000017964327371222666, 1.0000000000000002e-25, 1.6023940000000004e-19

7.011895886144259e-7, 1.0000000000000002e-25, 1.6023950000000005e-19

7.011895886144259e-7, 1.0000000000000002e-26, 1.6023950000000005e-19

4.5142714544255114e-7, 1.0000000000000002e-26, 1.6023949000000004e-19

2.0166474912208798e-7, 1.0000000000000002e-26, 1.6023948000000003e-19

-4.8097600902075044e-8, 1.0000000000000002e-26, 1.6023947000000002e-19

-4.8097600902075044e-8, 1.0000000000000002e-27, 1.6023947000000002e-19

-2.3121367820344574e-8, 1.0000000000000002e-27, 1.6023947100000003e-19

1.8548658164974086e-9, 1.0000000000000002e-27, 1.6023947200000003e-19

1.8548658164974086e-9, 1.0000000000000002e-28, 1.6023947200000003e-19

-6.427575138800989e-10, 1.0000000000000002e-28, 1.6023947190000004e-19

-6.427575138800989e-10, 1.0000000000000002e-29, 1.6023947190000004e-19

-3.92995080922276e-10, 1.0000000000000002e-29, 1.6023947191000005e-19

-1.43232647964453e-10, 1.0000000000000002e-29, 1.6023947192000005e-19

1.0653011806027735e-10, 1.0000000000000002e-29, 1.6023947193000006e-19

1.0653011806027735e-10, 1.0000000000000003e-30, 1.6023947193000006e-19

8.155409680909997e-11, 1.0000000000000003e-30, 1.6023947192900007e-19

The algorithm requires each constant to be solved for minimum error, using original NIST/CODATA as starting point.  The initial error is about -0.00054, so each constant is iterated until the error is zero to the specified res(olution), then a new error is calculated with the new set of constants.  Check to see if the error from the new set of constants is less than the starting error.  If it is, continue and check if converging.

Therefore, this is only 1 of 8 constants. 

*Also, note, some work for initial and final printing of the values is needed for completeness. Bold initial value is hand entered...

All bugs are not worked out as this is early code.  This code is being written with future consideration of iterating ALL 8 constants, however, to make progress, I will be blogging about each constant individually just like the electron charge here.

CSV, Comma Separated Variables, format is used for output for easy importing into Excel or most common spreadsheet tools.  Will be showing plots of error & vaules converging later. Soon, however, moar than 2 weeks...

The Surfer, OM-IV

Russell & RFKjr

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New Polynomial Root Algorithm, continued

First column is the electron charge, it is iterated while the other constants are held to their original values and the LAST column is the ERROR.  The closer to zero the ERROR is the better the coefficients fit the theory. electron charge e = 1.602e-19 Coulombs, note the algorithm will compute to any desired number of decimal places. This is an intermediate step, all steps of the algorithm must be completed to verify that the overall error is going to zero. Ongoing…

Moar l8ter

This post is a continuation of:

https://phxmarker.blogspot.com/2022/09/new-algorithm-idea-multi-variate.html

https://phxmarker.blogspot.com/2022/09/new-algorithm-idea-multi-variate.html

For those new to the blog, here is a post with the "mainstream" derivation of the polynomial:

https://phxmarker.blogspot.com/2021/11/this-is-how-we-do-it-free-full-rydberg.html

©2023 Mark E Rohrbaugh & Lyz Starwalker 

The Surfer, OM-IV

Ω

Questioning Science Videos Link List

Joe Rogan - Eric Weinstein Podcast #1945

What's Going Wrong in Particle Physics? (This is why I lost faith in science.) Sabine Hossenfelder

Moar later. They're getting warmer...

¿Qué?¿Qué? Constants as FREE Parameters in Physics - What What? ¿Qué?¿Qué?

Constants as FREE parameters in physics may be incorrect. The constants may in fact be parameters of a boundary value problem in mathematics of the wave function...

Scientists consider the constants free parameters.  It seems like poor thinking and poor math. 

Some supporting links can be found here:

 https://freespoke.com/search/web?q=constants+as+free+parameters+in+physics

moar later...

Galois Theory - Roots of Polynomials

https://en.wikipedia.org/wiki/Galois_theory

"In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to group theory, which makes them simpler and easier to understand.

Galois introduced the subject for studying roots of polynomials. This allowed him to characterize the polynomial equations that are solvable by radicals in terms of properties of the permutation group of their roots—an equation is solvable by radicals if its roots may be expressed by a formula involving only integers, nth roots, and the four basic arithmetic operations. This widely generalizes the Abel–Ruffini theorem, which asserts that a general polynomial of degree at least five cannot be solved by radicals."

https://en.wikipedia.org/wiki/Galois_theory

https://en.wikipedia.org/wiki/Bijection

https://opensea.io/assets/matic/0x24A11e702CD90f034Ea44FaF1e180C0C654AC5d9/32033

Owned by Original Owner

0.08ETH ~= $100USD original price

4th Order Pimp Walk:

The Book - Paul Erdos -🥇📕

 

He had his own idiosyncratic vocabulary; although an agnostic atheist,[68][69] he spoke of "The Book", a visualization of a book in which God had written down the best and most elegant proofs for mathematical theorems.[70] Lecturing in 1985 he said, "You don't have to believe in God, but you should believe in The Book." He himself doubted the existence of God, whom he called the "Supreme Fascist" (SF).[71][72] He accused SF of hiding his socks and Hungarian passports, and of keeping the most elegant mathematical proofs to himself. When he saw a particularly beautiful mathematical proof he would exclaim, "This one's from The Book!" This later inspired a book titled Proofs from the Book.

from:

https://en.wikipedia.org/wiki/Paul_Erd%C5%91s#Personality

https://en.wikipedia.org/wiki/Generalized_hypergeometric_function 

"The Book"

moar later...

The Surfer, OM-IV

https://www.linkedin.com/feed/update/urn:li:activity:7017704130341208064/

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Simultaneous Solutions, Coefficients (constants), and Math (Do the Math)

Moar later...   ...however, for now, do the math.

1. Derivation of equations - relationships
2. Boundary conditions
3. Coefficients - constants
4. Determination of COMPLETE SOLUTION

The solution to simple boundary condition problems is well documented. Applying the same technique to the simultaneous solution of the Bohr atom with the Schrödinger model for the atom, for a single hydrogen atom (at low/lowest energies these two models are equivalent):

The boundary conditions are set by environment, the nature of things, man, physics, science, the things one knows, constants, etc.

0K

Therefore, considering the set of equations mathematically, then once one fully describes the situation, if it is complete, even the constants can be determined.  Thus, as with the fundamental physics constants and the solution to this equation, which is the relationship of the constants condensed from all known, it is possible to solve for the constants. Especially if a few are held at a defined constant value as has been done with NIST/CODATA.

This should be self evident, however, rarely is it talked about in this way...

∴ I AM MR Proton, the man who solved science.

The Surfer, OM-IV

https://www.linkedin.com/feed/update/urn:li:activity:7017704130341208064/

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Happy New Year January 6, 2023 6 Day ∆elta!

12.31.22 Patriot Streetfighter w/ Loy Brunson, "We The People" Leaders Taking 2020 To Supreme Court

Trump Card #32033

Owned by original owner

https://opensea.io/assets/matic/0x24a11e702cd90f034ea44faf1e180c0c654ac5d9/32033

 

1700 day ∆elta between Qdrop#1201 and collectTrumpCards.com launch 12/15/2022:

https://www.timeanddate.com/date/durationresult.html?m1=4&d1=20&y1=2018&m2=12&d2=15&y2=2022

https://8kun.top/qresearch/catalog.html

PhxMarkER BTC

Magnetic Muon - Physics on Fire! (been putting out this fire for years)

More fallout from the proton radius puzzle:

(go back to basics.  When the foundation is incorrect, false predictions, puzzles, & mysteries abound)

https://www.science.org/content/article/particle-mystery-deepens-physicists-confirm-muon-more-magnetic-predicted

Throwing moar gas on the fire!

moar later...

The Surfer, OM-IV

RULE OF LAW IS NOW 100% DEAD!

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Shitpost Sunday - A Dilemma Like No Other

A Dilemma Like No Other

Could this have been the beginning of the Questioning movement?

(an old video I helped a buddy put on the internet in the early days)

(my 1990 voice at beginning - we transferred old school speakers to mic)

November 11, 2022 - 11/11/22

Predictions - Nostrildamus

1. 11/8/2022 Elections extended/delayed count tally delayed
2. 11/11/2022 Trump arrest
3. 7 options outlined by Simon Parkes at simonparkes.org/blog 

This precision constrains the values of the other physical constants that define it. Including the proton radius and fine-structure constant.

RM= Rydberg constant for reduced Mass(?)

R∞= Rydberg constant for heavy atoms

RH= Rydberg constant for Hydrogen

me= mass of electron

M= Mass of nucleus

mp=mass of proton

α= Fine structure constant

rp= proton radius

ϵ0 = Permittivity of free space

h= Planck's constant

c= speed of light

e= electron charge, fundamental charge

π= 3.1415926535897932384626433...

1=  1.0000000000000000000000000...

1 Upped, One-upped, 1+

(1) 

"The Rydberg constant is one of the most precisely determined physical constants, with a relative standard uncertainty of under 2 parts in 10^12.[2] This precision constrains the values of the other physical constants that define it.[7]"

from: https://en.wikipedia.org/wiki/Rydberg_constant#Precision_measurement

The Surfer, OM-IV

Simon Says

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