Re: Causation-Code-Curvature (CCC) 2: Field Equation

>>From Osher Doctorow

Let's increase the number of holes or handles h, so that K = 4pi(1 - h)
gets more and more negative; and we'll compare this with a saddle,
where in one direction you seem to go upward and in another (e.g.,
orthogonal) you seem to go downward.

If we had stayed on the plane or cone or cylinder (K = 0), a geodesic
would be a straight line and its radius of curvature would approach
infinity as we proceed along it, and the curvature would be 1/radius of
curvature which --> 0 at least from one direction. We might say, with
Sir Isaac Newton, that there is no force to impede or push away motion
from a straight line. With a saddle, for every "forward" tendency
there seems to be a "backward" tendency, and this is somewhat
reminiscent of Brownian or zigzag Motion. Forces at least appear
intuitively to be entering the picture, and they could arguably be
interpreted as preventing adherence to a straight line motion. On the
one hand, we don't want them to completely cancel each other out or
we'd be back at K = 0, and on the other hand we don't want the
"positive" forces to win out for example or we'd be going along a
perpendicular straight line to the previous one.

The nearest thing that all this seems to be describing is a circular or
spherical or ball or interval motion including motion through their
interiors that seems to resemble what happens when we move back and
forth from 0 to 1 on an interval [0, 1] or back and forth from the
center to the sphere and back in a unit sphere or ball.

To put it another way, a saddle keeps you from falling off the
universe, and arguably an "infinite" saddle keeps you doing that
infinitely, but at least you have an advantage over the plane or
cylinder or cone linear travellers of not heading infinitely outward
away from where you started.

And the role of the holes or handles? Well, they're not there to
quantize the universe! They're there to keep you from falling off!
You need to discriminate the holes from the non-holes. They prevent
your geodesics from being straight lines, they introduce forces and
(probable) causation. As with a glass partially filled with water
being regarded as partly full or partly empty, you can choose to regard
the holes as evidence of a discrete universe or as evidence of a
continuous causing universe. I suspect that our geodesics will learn
to live with the holes and "avoid" them in a manner of speaking, since
after all holes vs non-holes form a sort of universal code of their
own. But that is a story for another time.

Osher Doctorow

.

Relevant Pages

  • Re: How can I create a disc with a random amount of holes on a bolt circle diameter?
    ... mistakes I would be willing to bet that Jeff meant "arbitrary" instead ... So you don't think he knows what he's doing or saying but that you do? ... saddle on a horse. ... Would you want a random number of holes in your part each ...
    (comp.cad.solidworks)
  • Re: So you think you can do a decent trackstand?
    ... What's old is new in your 1900 Columbia Ladies' Shaft Drive bicycle ... the saddle has an ERGONOMIC CUT OUT for tender bits!! ... Saddles with hopefully cut holes were actually quite common in early ... An 1868 wooden prototype for Sheldon's RealMan saddle: ...
    (rec.bicycles.tech)
  • Re: Aw nuts!
    ... But I would not have made any instant distinction between the two sets of bone saddle inserts on the basis of handling, weighing in the hand, tapping for sound etc - both sound 'bright' as bone saddles should. ... The Headway pickup is a real devil to fit in a Lowden, the S35C was factory drilled for it with entry holes at an angle so the coaxial element is never bent, and exit holes to allow the end of the pickup to feed beyond the saddle. ...
    (rec.music.makers.guitar.acoustic)
  • Re: Egg-shaped Universe? Probably Not
    ... the universe is "saddle shaped" Flat no good Sphere better than flat ... it to saddle shape.saddle has "negative curve",and I like that Bert ... A universe curved like a sphere would be finite; ...
    (sci.physics)
  • Re: Saddle Recommendations, Please
    ... My wide Siegfried actually seemed a bit narrow on her, but in motion ... I suck at saddle fitting. ... Which brings us to the girth. ... Some horses with laid-back shoulders are girth ...
    (rec.equestrian)