Sunday, November 16, 2014

How Time Flies

From the definition of ψψ in the post "Maybe Not",

ψ=12μoB2=12εoE2

ψt=12μoB2t=εo2E2t

If ψ=eiwt, just the time component to represent time itself.

ψt=iωeiωt=12μoB2t=εo2E2t

ωeiωt=i12μoB2t=iεo2E2t

ωeiωt=iii12μoB2t=iiiεo2E2t

ωeiωt=12μoB2it=εo2E2it

where it is the orthogonal charge-time component postulated in the post "Temperature, Space Density And Gravity".

ω=2πf=2πcλt

eiωt=λt4πμocB2it=λtεo4πcE2it

c=1μoεoZo=μoεo

eiωt=λt4πμocB2it=λtεo4πcE2it

eiωt=λt4π1ZoB2it=λt4πZoE2it

Let  it=tc,

eiωt=λt4π1ZoB2tc=λt4πZoE2tc

or,

eiωt=λt2πcψtc

which requires,

1=λt2πc.ω

that is always true.

We see that time as we experience it, eiwt, is the rate of change of ψ with charge time.  If Pythagoras Theorem holds true for the time domain, and that time as we experience it is the resultant of two orthogonal time components, charge time, tc and gravitational time, tg then,

t2=t2c+t2g


This implies,

eiωctc=12eiωt.eiπ/4=12ei(ωtπ/4)

eiωgtg=12eiωt.eiπ/4=12ei(ωt+π/4)

and of course,

eiwgtg=ieiwctc

There is no reason not be believe that,

ωg=ωc=ω  by symmetry.

And so,

ω{eiωctc}=ω{eiωtc}=ω{12eiωt.eiπ/4}

which implies,

tc=12t.eiπ/4

Generalizing, we have

tg=12t.e+iπ/4

12|t|=|tc|=|tg|

Which makes us behind tc and tg in the absolute sense.  tc lag t by π4 and tg leads t by π4 in phase.  Time as a wave is a natural vector.