WDEshleman@aol.com
Sun, 5 Sep 1999 00:13:23 EDT
Matti,
Here is some fixing up.
Bill
[MP]
a) I could not quite understand you NOW= PAST + x*PAST. If one starts
from Schrodinger equation one has -i dPsi/dt= HPsi.
Psi(t+deltat) = Psi(t) + i*HPsi(t)*Deltat = (1+ iH*delta t )*Psi(t)
What troubles me is the identification of x. I would identify
it as operator. My formula was also for infinitesimal time interval
delta t. Perhaps we understand by z quite different things.
[WDE]
Yes, the name operator for v^2/c^2 is imprecise, it is a true factor,
not the mathematical convenience, operator. Let me try to escape
this imprecision. First evaluate the operator and write it this way:
Psi(t+Deltat) = Psi(t) + [ i*HPsi(t) ] * Deltat
normalize,
Psi(t+Deltat) = Psi(t) + [ i*HPsi(t) / Psi(t) ] * Deltat * Psi(t)
then x = [ i*HPsi(t) / Psi(t) ] * Deltat
I cannot think of a name other than "operator", but Stephen
might call it a "propagator". It is simply just a factor.
And,
Psi(t+Deltat) = Psi(t) + x * Psi(t)
But what I suggest is that we subjectively see,
Psi(t+Deltat) = Psi(t) + x * Psi(t+Deltat)
= Psi(t)
+ [ i*HPsi(t+Deltat) / Psi(t+Deltat) ] * Deltat * Psi(t+Deltat)
or, Psi(t+Deltat)/Psi(t) = [ 1/(1 - x) ]
= 1/ { 1 - [ i*HPsi(t+Deltat) ] * Deltat / Psi(t+Deltat) }
or, Psi(t+Deltat)
= Psi(t) / { 1 - [ i*HPsi(t+Deltat) ] * Deltat / Psi(t+Deltat) }
because of an objective multiplicity of other-worlds that
trick observers into believing that the NOW is attracted
to the FUTURE.
Matti,
If I made another error in the algebra, please don't give up.
[MP]
Is your fomula really consistent with Schrodinger equation?
[WDE]
I suspect not, but it might be, and I suggest that it should be.
Sincerely,
Bill
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