Wave – particle duality Illusion solution Joenahhas1958@yahoo.com By professor Joe Nahhas It is a particle you dummy Real time: We can not see or measure something that did not happen. We can only see or measure something that had happened. What we measure in not what happened. We measure in present time an event that happened in past time. That is we measure past events in present time Present time = present time Present time = past time + [present time - past time] Present time = past time + time delay Real time physics = event time physics + real time delay physics Naming Γ as real time and t as event time Γ = t + (Γ - t) = t [1 + (Γ – t)/t] = t (Γ/t) Γ=t+ΔΓ ΔΓ=Γ-t If an event happens on Planet Mercury and the event is seen from the Sun at event time t, then this same event would be seen from Earth in real time as time Γ = t + Δ Γ Γ = t + (Γ - t) Real time = Event time + time delays Γ = t + Δ Γ (x) + ỉ Γ (y) = t + Δ Γ Δ Γ = Δ Γ (x) + ỉ Γ (y) Δ Γ (x) is along the line of sight time delays Δ Γ (y) is perpendicular to the line of sight time delays Γ = t (Γ/t) ỉωt ỉωt Γ = te ; Γ/t = e ; ω T = arc tan (v/c) ίθ Γ = t e ; θ = arc tan (v/c) Γ = t [cosine ω t + ỉ sine ω t] Γ = Γ (x) + ỉ Γ (y) = t cosine ω t + ỉ t sine ω t ỉωt And c Γ = c t e e ỉ ω t; ω T = arc tan (v/c) ; Γ/t = ỉωt ỉωt Or r = c Γ = c t e = r0 e ; ω T = arc tan (v/c) ỉωt Real time distance r = r0 e ỉωt Real time Γ = t e ; ω T = arc tan (v/c) The distance r0 of a particle when seen or measured in real time it is seen: ỉωt As a wave: r = r0 e The solution is a particle you dummy and the fact you see a wave you do not have to be an idiot like your Harvard MIT or Cal – Tech Nobel Physicist!