John B. Wilson

Background

About John B. Wilson

Physics: Expert in Special Relativity and Quantum TheorySee my book - google: Lots of stuff, See my sitemaphttp://SciRealm.org/SiteMap.htmlSee my book - google: study on the relation of Special Relativity and Quantum Mechanics, via the use of 4-vectors and tensors. Essentially, you can derive the principles of QM from SR and a few empirical 4-Vector facts. SR → QMStart with a few SR Physical 4-Vectors:4-Position =(ct,)4-Velocity = γ(c,)4-Momentum =(E/c,)=(mc,)4-WaveVector =(ω/c,)4-Gradient =(∂ₜ/c-)Note the following relations between SR 4-Vectors:=(d/dτ)=(mₒ)=(Eₒ/c²) → [ · ]{particle}=(1/ћ)=(ωₒ/c²) → [ ∿ ]{wave}=(-i)Form a chain of SR Lorentz Invariant Scalar Equations, based on those relations:· =(cτ)²· =(c)²· =(mₒc)² =(Eₒ/c)²· =(mₒc/ћ)² =(ωₒ/c)²· =(-imₒc/ћ)² =-(mₒc/ћ)² =-(ωₒ/c)²The last is a fundamental quantum relation.When applied to a Lorentz Scalar, it gives the free particle Klein-Gordon Equation (the Relativistic Quantum Wave Equation for Spin-0 Particles).When applied to a 4-Vector, it gives the free particle Proca equation (massive case mₒ > 0), and the free particle Maxwell equation (massless case mₒ = 0)The Schrödinger Equation, and hence Quantum Mechanics, is just the low-velocity (||<< c) limiting-case of the KGE.This is (RQM)= Relativistic Quantum Mechanics, derived from only-5 of the Standard SR 4-Vectors.4 really simple empirical relations between them.1 SR rule for forming Lorentz Scalar Invariants, ie. the Minkowski Metric which gives the Lorentz Scalar Product.