F=kqq/r2 – EWT - Energy Wave Theory

Named after Charles-Augustin de Coulomb, Coulomb's Law (F=kqq/r2) is an equation that represents the attractive or repulsive electric force (F) of two point ... F=kqq/r2 Description NamedafterCharles-AugustindeCoulomb,Coulomb’sLaw(F=kqq/r2)isanequationthatrepresentstheattractiveorrepulsiveelectricforce(F)oftwopointcharges(q).Theforceisproportionaltothesquareofthedistance(r)betweencharges. Theproportionalityconstantthatrelatesforcetochargeanddistanceisgiventheletterk,orke,andisknownasCoulomb’sconstant.   Inenergywavetheory,particlesexperienceconstructiveordestructivelongitudinalwaveinterferencebasedontheirpositiononstandingwavenodes.Constructivewaveinterferenceleadstoarepulsionoftwoparticlesasaresultofincreasedwaveamplitudebetweenthem;destructivewaveinterferenceleadstoanattractionoftwoparticles.Thiscausesthemotionofparticlesandismeasuredastheelectricforce. Note,whentheenergyisstored,suchastheelectron’spositioninanatom,itmayresultinaphotonasexplaininthePlanckrelation(E=hf).     Derivation–ClassicalConstants Coulomb’sLawcanbederivedusingonlyPlanckconstants(classicalconstants),andtheelectron’senergyatdistance(r). ThederivationisverysimilartothePlanckrelation astheyarebothrelatedtotheelectron’senergyatdistance. Energyisconserved,yetwaveformation(geometry)changes,asexplainedinthegeometryofspacetimepage.Thegeometries(α1andα2)aredescribedinEq.1.4.3.Whenallofthevariablesintheα2ratioaretheelectron’sclassicalradius(re),withtheexceptionofslantlength(l),whichisπre,itresolvestobethefinestructureconstant(describedinEq.1.4.6). FurtherdetailscanbefoundintheGeometryofSpacetimepaper. Proof Coulomb’sconstant:FromEq.1.4.13,Coulomb’sconstantmatchesinnumericalvalue.     Derivation–WaveConstants Thisderivationbeginsfromaclassicalformoftheelectron’sforce. Itusesadimensionlessparticlecount(Q)whichneedstobeconvertedtocharge(q)tobeconsistentwithCoulomb’slaw.Chargeisbasedoneachparticlehavinganelementarycharge(e).Inotherwords,q=Qe. Inthisderivation,theelementarycharge(e)isfound,inadditiontoCoulomb’sconstant(k).Bothoftheseconstantsarenolongernecessarywhenusingenergywaveconstants.TheirvalueswerefoundtomatchCODATAvaluesintheConstantssection,thuswiththisprooftheycanbesubstitutedbelow. Furtherdetails,includingthereferencetoEq.1.11,canbefoundintheKeyPhysicsEquationsandExperimentspaper. .   Proof Coulomb’sconstant:FromEq.2.4.7,Coulomb’sconstant matchesinnumericalvalue. Inwavetheory,Coulombs(C)ismeasuredinamplitude(meters). Coulomb’sconstantisthereforeaforce,intermsofunits.   Elementarycharge:FromEq.2.4.4,theelementarychargewasaccuratelycalculatedonthissiteandinthe FundamentalPhysicalConstantspaper. Itmatchesinnumericalvalue. Inwavetheory,Coulombs(C)ismeasuredinamplitude(meters).   Theequationsusewaveconstantsexplainedhere.   Previous:E=hfNext:F=Gmm/r2 . Reference EnergyWaveTheory.2022.