Re: Quantum Gravity 216.1: Intermission: Trolls/Graffiti Artists Attempt to Increase Their Credibility
- From: OsherD <mdoctorow@xxxxxxxxx>
- Date: Thu, 20 Dec 2007 22:25:54 -0800 (PST)
On Dec 20, 10:06 am, "rolf183" <nos...@xxxxxxxxxx> wrote:
Actually, just draw a curve a relationship between time and acceleration,
then match your simple equations to specific portions of the curve.
exp(x) (and the rest of your fucntions, etc) is arguably a very poor one,
(too simple) to model this relationship.
By "simple" I mean, it only has one degree of freedom, not enougt degrees of
freedom to allow close fitting of the curve.
But if you specified a specific region of time, then you could apply your
modeling to it it with small error.
[My (Osher's) Reply below: ]
Rolf183, I give an example of closer fitting of the Generalized
Exponential Function (GEF for short) in the Schrodinger Potential Step
in my newest posting of just a few minutes ago. Take a look at it.
The functions aren't a poor fit, and I used exp(x) rather than exp(kx)
for simplicity in presenting the ideas without having to refer to k in
the derivative for example. In general we can use exp(kx), exp(-qx),
etc. for constant k, q or phase constants k, q, and similarly for
hyperbolic sine and hyperbolic cosine functions and quadratics and
linear functions with changes from x to kx, x +/- k, etc.
What you're ignoring is that nobody else is fitting anything at all
analogously to me - they're still in algebraic geometry and algebraic
topology and Lie groups/Lie algebras and the likes of that trying to
find the "holy grail" before they actually find a "concrete" Quantum
Gravity equation that is easy to recognize. If you recall the
problem with King Arthur's or Prince Launcelot's Sword in mythology,
everybody but the "right person" tried too hard with brute strength
(in this case with over-complicated mathematical machinery).
Osher
.
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