Saturday, December 21, 2024

This Shit Ain't Nothing to Me Man - I Live for This Shit!

Dracula Flow · Mushroom Cloud
So send your spare BTC to:
19oBJbAMmpkz5n47AfDuLDaBikBBQrFPyy
https://www.blockchain.com/explorer/addresses/btc/19oBJbAMmpkz5n47AfDuLDaBikBBQrFPyy
The Surfer, OM-IV
Posted by at No comments:

Saturday, November 30, 2024

Far Field Electric Force on Test Charge (Qt) from Electric Dipole

What is the force on a test charge a distance R far from a simple dipole of +q & -q spaced ∆r apart?
https://byjus.com/physics/dipole-electric-field/


More later... 
The Surfer, OM-IV
Posted by at 1 comment:

Friday, October 11, 2024

5x5: Polynomial Convergence of 5 Constants - Combined Newton-Raphson Iteration Technique - Standard Approach


The Algorithm of post 9/5/2022 new-algorithm-idea-multi-variate CONVERGES when holding the proton mass and electron mass (thus the $m_p\over m_e$ mass ratio) constant and iterating on these 5 constants:
$$e$$
$$\epsilon0$$
$$h$$
$$c$$
$$R_H$$

The initial values and tolerances need to be corrected and re-run the algorithm. Here is a table of the constants NIST/CODATA and what I used in the Newton_Raphson Iteration NRI method.
Image 1. Constants: NIST/CODATA & NRI



NRI method showing electron charge error getting smaller and smaller
(i.e., more negative on the log Y-scale)


This link is to the post that shows the color points on the graph with the inputs shown above in Image 1.

The algorithm is described in this post, only modification was to hold the proton and electron mass constant: https://phxmarker.blogspot.com/2022/09/new-algorithm-idea-multi-variate.html

A re-run is needed with the corrected inputs - I didn't use all the digits from NIST/CODATA.

The interesting thing is it appears to converge to a stable solution.  I need to investigate if it is UNIQUE by using different starting values and verfiy if it always converges to these same values.

Another interesting thing is a MAJOR NOTE: One does not need the proton radius solution to perform this NRI method of determining the constants. Simply don't drop the term, the reduced mass approximation (effective masses) when determining the constants. 

There may be some reason the $m_e\over m_p$ term was dropped from the polynomial - as I understand it, that assumption allows one to proceed with an analytic solution to Schrodinger's wave equations for solid-state theory. And that assumption does not have to interfere with determining the coefficients like anyone would do for their boundary value problems.

When you zoom in on the solutions, the last series of iterations, it curves back, very similar to the Lambert W function that is used to solve the iterative Widlar current source circuit.
Zoom in on last iterations of electron charge


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



The dream lives! The dream of solving for the constants. 

I'm looking into applying the constants to analyzing the "Island of Stability" - i.e., 
™Resonance & Harmony™ and MetaMaterials†™:
https://en.wikipedia.org/wiki/Island_of_stability



The Surfer, OM-IV
Posted by at 4 comments:

Sunday, October 6, 2024

Showing the 99 Iterations on the Plots: e, e0, h, c, r_h

9.1×10​−31​9.11×10​−31​9.12×10​−31​9.13×10​−31​−0.002−0.00100.0010.002
trace 0trace 1trace 2y = ErrorElectronMass(x)
9.1×10​−31​9.11×10​−31​9.12×10​−31​9.13×10​−31​−30−25−20−15−10−5
trace 0trace 1trace 2y = Math.log(Math.abs(ErrorElectronMass(x)))
1.6×10​−19​1.602×10​−19​1.604×10​−19​−0.00500.005
trace 0trace 1trace 2y = ErrorElectronCharge(x)
1.6×10​−19​1.602×10​−19​1.604×10​−19​−12−10−8−6
trace 0trace 1trace 2trace 3trace 4trace 5trace 6trace 7trace 8trace 9trace 10trace 11trace 12trace 13trace 14trace 15trace 16trace 17trace 18trace 19trace 20trace 21trace 22trace 23trace 24trace 25trace 26trace 27trace 28trace 29trace 30trace 31trace 32trace 33trace 34trace 35trace 36trace 37trace 38trace 39trace 40trace 41trace 42trace 43trace 44trace 45trace 46trace 47trace 48trace 49trace 50trace 51trace 52trace 53trace 54trace 55trace 56trace 57trace 58trace 59trace 60trace 61trace 62trace 63trace 64trace 65trace 66trace 67trace 68trace 69trace 70trace 71trace 72trace 73trace 74trace 75trace 76trace 77trace 78trace 79trace 80trace 81trace 82trace 83trace 84trace 85trace 86trace 87trace 88trace 89trace 90trace 91trace 92trace 93trace 94trace 95trace 96trace 97trace 98trace 99trace 100trace 101trace 102y = ErrorElectronCharge(x)
8.84p8.85p8.86p−14−12−10−8−6
trace 0trace 1trace 2trace 3trace 4trace 5trace 6trace 7trace 8trace 9trace 10trace 11trace 12trace 13trace 14trace 15trace 16trace 17trace 18trace 19trace 20trace 21trace 22trace 23trace 24trace 25trace 26trace 27trace 28trace 29trace 30trace 31trace 32trace 33trace 34trace 35trace 36trace 37trace 38trace 39trace 40trace 41trace 42trace 43trace 44trace 45trace 46trace 47trace 48trace 49trace 50trace 51trace 52trace 53trace 54trace 55trace 56trace 57trace 58trace 59trace 60trace 61trace 62trace 63trace 64trace 65trace 66trace 67trace 68trace 69trace 70trace 71trace 72trace 73trace 74trace 75trace 76trace 77trace 78trace 79trace 80trace 81trace 82trace 83trace 84trace 85trace 86trace 87trace 88trace 89trace 90trace 91trace 92trace 93trace 94trace 95trace 96trace 97trace 98trace 99trace 100trace 101trace 102y = Math.log(Math.abs(Error_e0(x)))
6.615×10​−34​6.62×10​−34​6.625×10​−34​6.63×10​−34​6.635×10​−34​−12−10−8−6
trace 0trace 1trace 2trace 3trace 4trace 5trace 6trace 7trace 8trace 9trace 10trace 11trace 12trace 13trace 14trace 15trace 16trace 17trace 18trace 19trace 20trace 21trace 22trace 23trace 24trace 25trace 26trace 27trace 28trace 29trace 30trace 31trace 32trace 33trace 34trace 35trace 36trace 37trace 38trace 39trace 40trace 41trace 42trace 43trace 44trace 45trace 46trace 47trace 48trace 49trace 50trace 51trace 52trace 53trace 54trace 55trace 56trace 57trace 58trace 59trace 60trace 61trace 62trace 63trace 64trace 65trace 66trace 67trace 68trace 69trace 70trace 71trace 72trace 73trace 74trace 75trace 76trace 77trace 78trace 79trace 80trace 81trace 82trace 83trace 84trace 85trace 86trace 87trace 88trace 89trace 90trace 91trace 92trace 93trace 94trace 95trace 96trace 97trace 98trace 99trace 100trace 101trace 102y = Math.log(Math.abs(Error_h(x)))
299.5M300M−20−15−10
trace 0trace 1trace 2trace 3trace 4trace 5trace 6trace 7trace 8trace 9trace 10trace 11trace 12trace 13trace 14trace 15trace 16trace 17trace 18trace 19trace 20trace 21trace 22trace 23trace 24trace 25trace 26trace 27trace 28trace 29trace 30trace 31trace 32trace 33trace 34trace 35trace 36trace 37trace 38trace 39trace 40trace 41trace 42trace 43trace 44trace 45trace 46trace 47trace 48trace 49trace 50trace 51trace 52trace 53trace 54trace 55trace 56trace 57trace 58trace 59trace 60trace 61trace 62trace 63trace 64trace 65trace 66trace 67trace 68trace 69trace 70trace 71trace 72trace 73trace 74trace 75trace 76trace 77trace 78trace 79trace 80trace 81trace 82trace 83trace 84trace 85trace 86trace 87trace 88trace 89trace 90trace 91trace 92trace 93trace 94trace 95trace 96trace 97trace 98trace 99trace 100trace 101trace 102y = Math.log(Math.abs(Error_c(x)))
10.95M10.96M10.97M10.98M−20−18−16−14−12−10−8−6
trace 0trace 1trace 2trace 3trace 4trace 5trace 6trace 7trace 8trace 9trace 10trace 11trace 12trace 13trace 14trace 15trace 16trace 17trace 18trace 19trace 20trace 21trace 22trace 23trace 24trace 25trace 26trace 27trace 28trace 29trace 30trace 31trace 32trace 33trace 34trace 35trace 36trace 37trace 38trace 39trace 40trace 41trace 42trace 43trace 44trace 45trace 46trace 47trace 48trace 49trace 50trace 51trace 52trace 53trace 54trace 55trace 56trace 57trace 58trace 59trace 60trace 61trace 62trace 63trace 64trace 65trace 66trace 67trace 68trace 69trace 70trace 71trace 72trace 73trace 74trace 75trace 76trace 77trace 78trace 79trace 80trace 81trace 82trace 83trace 84trace 85trace 86trace 87trace 88trace 89trace 90trace 91trace 92trace 93trace 94trace 95trace 96trace 97trace 98trace 99trace 100trace 101trace 102y = Math.log(Math.abs(Error_Rh(x)))

-7.515424849397832 9.109383560899034e-31 1.60217662e-19 8.854187817e-12 6.62607004e-34 299792458 10973731.5685083 8.41235640479985e-16 0.00729735256 1.67262192e-27
-5.8971115321350664 9.114344700504225e-31 1.602397826809111e-19 8.851770688513177e-12 6.624858707417852e-34 299629212.0443415 10967687.245506773 8.41235640479985e-16 0.00729735256 1.67262192e-27
-6.591156369693428 9.111845836709579e-31 1.602309742441387e-19 8.852740414988349e-12 6.62534148348405e-34 299694988.7291945 10970102.535930475 8.41235640479985e-16 0.00729735256 1.67262192e-27
-7.284709727350453 9.110596847384763e-31 1.602265758472422e-19 8.853225392648997e-12 6.625582611107365e-34 299727912.9696378 10971309.500701131 8.41235640479985e-16 0.00729735256 1.67262192e-27
-7.97801579402642 9.1099724375462e-31 1.602243811617223e-19 8.853468120352604e-12 6.62570297634891e-34 299744419.52767915 10971912.61668511 8.41235640479985e-16 0.00729735256 1.67262192e-27
-8.67119482679135 9.10966024077092e-31 1.602232880496085e-19 8.853589749198316e-12 6.625762973460233e-34 299752719.03994274 10972213.874353414 8.41235640479985e-16 0.00729735256 1.67262192e-27
-9.364303531549092 9.109504137718674e-31 1.6022274567595068e-19 8.853650832615203e-12 6.625792788596846e-34 299756915.3062761 10972364.213263338 8.41235640479985e-16 0.00729735256 1.67262192e-27
-10.05736372449941 9.109426081507298e-31 1.6022247867054245e-19 8.853681643093567e-12 6.625807512722622e-34 299759059.9302607 10972439.092217313 8.41235640479985e-16 0.00729735256 1.67262192e-27
-10.750372327182195 9.10938705031312e-31 1.6022234935454027e-19 8.853697316349269e-12 6.625814691075618e-34 299760178.6810507 10972476.239443494 8.41235640479985e-16 0.00729735256 1.67262192e-27
-11.4433013879663 9.109367532815252e-31 1.6022228888717185e-19 8.853705420467896e-12 6.625818096394847e-34 299760784.45637333 10972494.51957189 8.41235640479985e-16 0.00729735256 1.67262192e-27
-12.136081470278663 9.109357772865622e-31 1.6022226284641456e-19 8.853709739679479e-12 6.625819615135135e-34 299761133.71854067 10972503.3653686 8.41235640479985e-16 0.00729735256 1.67262192e-27
-12.828572733572118 9.109352892058133e-31 1.602222540200534e-19 8.853712166254998e-12 6.62582019059723e-34 299761354.7075852 10972507.49361273 8.41235640479985e-16 0.00729735256 1.67262192e-27
-13.520484965634784 9.109350451019758e-31 1.6022225380139534e-19 8.853713646368718e-12 6.6258202944630686e-34 299761511.54791814 10972509.262776762 8.41235640479985e-16 0.00729735256 1.67262192e-27
-14.211250822894556 9.10934922996037e-31 1.6022225788670324e-19 8.853714653176257e-12 6.625820162595654e-34 299761636.3045279 10972509.852237057 8.41235640479985e-16 0.00729735256 1.67262192e-27
-14.899744031857105 9.109348618942479e-31 1.602222641240255e-19 8.853715423244395e-12 6.62581991293001e-34 299761745.01104605 10972509.851806756 8.41235640479985e-16 0.00729735256 1.67262192e-27
-15.583694188831462 9.109348312973724e-31 1.602222714372417e-19 8.853716074876568e-12 6.6258196044487e-34 299761845.68484235 10972509.556210736 8.41235640479985e-16 0.00729735256 1.67262192e-27
-16.258742074143946 9.109348159536807e-31 1.6022227928824812e-19 8.853716667245684e-12 6.625819266626412e-34 299761942.33524364 10972509.112990687 8.41235640479985e-16 0.00729735256 1.67262192e-27
-16.9168014810773 9.109348082369392e-31 1.60222287407967e-19 8.853717229916233e-12 6.62581891422315e-34 299762036.9669585 10972508.595925283 8.41235640479985e-16 0.00729735256 1.67262192e-27
-17.543255922926427 9.109348043343169e-31 1.6022229566185578e-19 8.85371777767176e-12 6.625818554605046e-34 299762130.5822397 10972508.041861711 8.41235640479985e-16 0.00729735256 1.67262192e-27
-18.115265483490322 9.109348023387396e-31 1.6022230398262955e-19 8.85371831793897e-12 6.6258181914670265e-34 299762223.68241507 10972507.469174068 8.41235640479985e-16 0.00729735256 1.67262192e-27
-18.603072324380214 9.109348012969658e-31 1.6022231233668707e-19 8.853718854391174e-12 6.625817826645557e-34 299762316.5181122 10972506.88716764 8.41235640479985e-16 0.00729735256 1.67262192e-27
-18.979252929055747 9.109348007322401e-31 1.6022232070719695e-19 8.853719388872119e-12 6.625817461064874e-34 299762409.2145673 10972506.300361784 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.23945440736334 9.10934800405397e-31 1.6022232908569844e-19 8.853719922351792e-12 6.625817095179777e-34 299762501.8347619 10972505.711117549 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.40045620187667 9.109348001978873e-31 1.6022233746802385e-19 8.853720455236135e-12 6.625816729234758e-34 299762594.4097372 10972505.12060659 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.489165444084975 9.109348000500927e-31 1.6022234585205159e-19 8.853720987778881e-12 6.625816363327577e-34 299762686.95525736 10972504.529322049 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.53831227093123 9.109347999313192e-31 1.602223542367377e-19 8.853721520116528e-12 6.6258159975327345e-34 299762779.4794007 10972503.937613187 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.56545163737693 9.109347998275518e-31 1.6022236262153316e-19 8.853722052280025e-12 6.6258156318746375e-34 299762871.9858189 10972503.345670715 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.576753638205577 9.109347997317615e-31 1.6022237100625662e-19 8.85372258430362e-12 6.625815266354521e-34 299762964.4763092 10972502.75348197 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58387524140449 9.10934799639233e-31 1.6022237939067522e-19 8.85372311620633e-12 6.625814900993366e-34 299763056.9521735 10972502.161148017 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.585984172775937 9.109347995487432e-31 1.6022238777476815e-19 8.8537236479843e-12 6.625814535790523e-34 299763149.4136859 10972501.568625815 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.586336212868982 9.10934799458858e-31 1.6022239615850928e-19 8.853724179667337e-12 6.625814170748947e-34 299763241.86128265 10972500.975898989 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.588339851032643 9.109347993690769e-31 1.6022240454185293e-19 8.853724711234562e-12 6.625813805869681e-34 299763334.29505336 10972500.383108823 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58728248509197 9.109347992798687e-31 1.6022241292484085e-19 8.853725242682829e-12 6.625813441148428e-34 299763426.71488845 10972499.790144661 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.588922800488444 9.109347991903656e-31 1.602224213073961e-19 8.853725774039912e-12 6.62581307658993e-34 299763519.12103546 10972499.197070092 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58802213853708 9.109347991013313e-31 1.6022242968959805e-19 8.853726305279231e-12 6.625812712192384e-34 299763611.5132144 10972498.603822377 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.588851814558836 9.10934799012047e-31 1.6022243807139084e-19 8.853726836427892e-12 6.625812347963614e-34 299763703.89171195 10972498.01040674 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.586404099710833 9.109347989230023e-31 1.6022244645280846e-19 8.85372736742772e-12 6.625811983887544e-34 299763796.2563043 10972497.416899735 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.586310213357844 9.109347988332687e-31 1.6022245483376903e-19 8.853727898361236e-12 6.6258116199778465e-34 299763888.6073007 10972496.8231762 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.585840201795452 9.10934798743513e-31 1.6022246321435253e-19 8.853728429163854e-12 6.625811256224035e-34 299763980.944554 10972496.229390427 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58643344990885 9.109347986536286e-31 1.6022247159455633e-19 8.853728959866536e-12 6.625810892641272e-34 299764073.26802903 10972495.635438839 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.586710110727836 9.109347985639178e-31 1.602224799743596e-19 8.853729490476923e-12 6.62581052921733e-34 299764165.5776964 10972495.04131506 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58675963703014 9.109347984742895e-31 1.602224883537648e-19 8.853730020964119e-12 6.625810165952051e-34 299764257.8734731 10972494.447102146 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.585400584904235 9.109347983846802e-31 1.6022249673278322e-19 8.853730551343198e-12 6.625809802845237e-34 299764350.15547585 10972493.852721367 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.585203759541564 9.109347982946896e-31 1.6022250511137656e-19 8.853731081616091e-12 6.625809439903736e-34 299764442.42380047 10972493.258203002 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.585086010176465 9.109347982046485e-31 1.6022251348958498e-19 8.853731611789614e-12 6.625809077127126e-34 299764534.678312 10972492.663515134 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58469010403704 9.10934798114578e-31 1.602225218673963e-19 8.85373214184805e-12 6.625808714503221e-34 299764626.91907114 10972492.068739742 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58249072353875 9.109347980244004e-31 1.602225302447856e-19 8.853732671799201e-12 6.625808352043697e-34 299764719.1460152 10972491.473741688 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.583277614299398 9.109347979336017e-31 1.6022253862177059e-19 8.853733201645613e-12 6.62580798975011e-34 299764811.35939896 10972490.878660506 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.583000978419964 9.109347978430315e-31 1.6022254699835231e-19 8.853733731391689e-12 6.6258076276146225e-34 299764903.5589101 10972490.283407278 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.585704794003146 9.109347977523873e-31 1.602225553745457e-19 8.853734261039616e-12 6.625807265640688e-34 299764995.74461824 10972489.688095914 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58337547765411 9.109347976625168e-31 1.6022256375036773e-19 8.853734790561446e-12 6.625806903826248e-34 299765087.91629523 10972489.092554644 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.582524145817214 9.10934797571989e-31 1.6022257212576535e-19 8.853735319978565e-12 6.625806542171449e-34 299765180.07438517 10972488.496904656 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58215684591889 9.109347974812238e-31 1.602225805007613e-19 8.853735849297488e-12 6.6258061806813145e-34 299765272.218735 10972487.90108777 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.58331745446577 9.109347973903585e-31 1.6022258887533278e-19 8.853736378510252e-12 6.625805819355855e-34 299765364.3493024 10972487.30515645 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.581864847603274 9.109347972998285e-31 1.6022259724953921e-19 8.853736907614798e-12 6.625805458178795e-34 299765456.4659799 10972486.709080018 8.41235640479985e-16 0.00729735256 1.67262192e-27
-19.582836850797307 9.109347972088891e-31 1.6022260562331583e-19 8.853737436614573e-12 6.625805097169232e-34 299765548.56892747 10972486.112895366 8.41235640479985e-16 0.00729735256 1.67262192e-27
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5 Constants Solved: Document Write Results On Page for first 99 Iterations

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Saturday, October 5, 2024

5 Constants e, e0, h, c, r_h - Hold Electron Mass and Proton Mass, Iterate 5 Other Constants; See Console for Error (~=1e-9) & Constants

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Friday, October 4, 2024

1st Iteration: Electron Mass(m_e), Charge(e), Permittivity (e0), Planck's Constant (h), Speed of Light (c), Rydberg Constant (Rh) - Plotly Polts with CODAT/NIST and Minimum Error 1st Iteration Values in Console

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Saturday, September 28, 2024

Plotly: 6 Constants - Electron mass, charge; e0-permitivity; h-Plank Constant; c-speed of light;r_h -Rydberg Constant;

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Electron Mass: Newton-Raphson

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Thursday, September 26, 2024

Electron Mass Polynomial Error Plot HTML/JS

If you click on the file link and download the file and then open it in a browser, it plots the error function vs. electron mass as the error goes from negative to positive as it passes through zero:

This is using the nominal NIST/CODATA values for the other constants in the polynomial:



Y-axis is error function polynomial, X-axis is the electron mass: 



Axis labeling is crude, looking into plotly.js and d3.js or some other js library.

Plotly.js for Electron Mass Error (all other constants at default NIST/CODATA values):
Red dot is default NIST/CODATA electron mass value
(Plotly is much easier to read!)



Looking at LOG error (log(abs(error)) plotting with fine steps allows one to visually see the root for both electron mass and electron charge (assuming all other constants are constant and correct):
Electron Mass

Electron Charge

e0 (permittivity);  HTML/JS added e0


h, Plankck's constant




c, speed of light



Rh, r_h, Rydberg constant


r_p and alpha cannot be fine tuned until after the other constant are corrected enough to correct for the initial errors. Then, limited regions of stability around nominal values can be checked. Ongoing.


Added the Newton-Raphson method to the electron mass error vs. electron mass code and plotted both the NIST/CODATA value in RED/orange and my value in GREEN* from the polynomial to an error of less than 0.00000000001e-31 kg:

Newton-Raphson code for electron mass
(shows the new electron mass used for the GREEN point on plot)
(the new mass is calculated using the polynomial and Newton_Raphson method)
Some refinements are needed to tolerance as it converges in like 1-2 iterations due to linear nature of error of interval, thus it is simple to calculate the electron mass required to get a value of a specified tolerance (near zero).
The basic pieces of a Javascript approach for minimizing error and solving for the values of the constants that give minimum error have been developed... Time to implement some of the algorithms mentioned previosly in the blog, like the one to iterate to find the value of each constant to give minimum error and iterate through and check for convergence...
*GREEN MEANS GO!
The Surfer, OM-IV








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Monday, June 24, 2024

Universe* as a Unity Gain (?) Feedback System

Using 


${S\over O}=1$ ; justification: energy and mass are conserved, lossless system
${S\over O}={A\over{1+A\beta}}$
$1={R_\infty\over R_H}-{m_e\over m_p}$ & (using $m_e\over m_p$ instead of ${{\pi r_pR_H}\over \alpha^2}$)
$R_\infty={m_ee^4\over 8{\epsilon_0}^2h^3c}$

(will fill in math steps later, refer to The Universe is a Feedback System)
$A_v={S\over O}={A\over{1+A\beta}}$
$A_v=1$
$1+A\beta=A$
$1=A-A\beta$
$A={m_ee^4\over 8{\epsilon_0}^2h^3cR_H}$

$\beta={{8{\epsilon_0}^2h^3cR_H}\over{m_pe^4}}$
A, open loop forward gain:
This is approximately equal to 1 due to artificial tuning of constants





$\beta$, reverse gain:





* Universe of a Hydrogen atom
Moar later.

These values of $A$ and $\beta$ are reminders that this equation and this problem is rooted in the physical single hydrogen atom - a dynamic between a proton and electron.  This mathematical tool of transforming the equation to an analogous "system", one can pull out key features (with good math tools/models). The dynamic between the proton and electron captured in a simple diagram. The hydrogen atom, 1H, has a full analytical solution (full Wave Equation or combined Schrödinger wave equation for both proton and electron or however it's done).


The Surfer, OM-IV
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Wednesday, May 8, 2024

Idea of Visualizing Multi-Dimensional Data Using #Tempest

https://cds.cern.ch/record/343250/files/p189.pdf
Some ideas for multidimensional data viewing.

The Surfer, OM-IV
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