**Hitoshi Kitada** (*hitoshi@kitada.com*)

*Thu, 9 Sep 1999 03:59:24 +0900*

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Dear Bill,

Before going further, let me ask a question on your paper:

A Many-Worlds Wave-Object paradigm for

Quantum Inertia and Quantum Gravity

in your web page.

In page02a, you wrote

"Everett's interpretation demands the continuous and deterministic change of

the state function (psi), of an isolated system, with time according to a wave

equation d psi/d t = x psi, where x is a linear operator. Letting (psi_0) be

the present state, then psi = psi_0 + x psi =psi_0/(1-x) predicts all future

states; or equivalently,

psi 1

----- = ---- "

psi_0 1-x

Here you seem to think that the solution of the differential equation

d psi/d t = x psi, with initial condition psi(0) = psi_0 (0)

is

psi(t) = psi_0 / (1-x). (1)

My mathematics however tells the solution is

psi(t) = exp(tx) psi_0, (2)

if x is a time independent operator.

I wonder how you derived (1).

Best wishes,

Hitoshi

**Next message:**Hitoshi Kitada: "[time 716] Re: [time 711] Re: [time 708] Time operator => Ensembles of clocks?"**Previous message:**stephen p. king: "[time 714] Thoughts about NMP"

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