**Previous message:**george murphy: "Re: I am not an apostate."**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]

Francis Dickinson wrote:

*>
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*> George Hammond apparently wrote:
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*> >
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*> > GH; A starfish is an echinoderm, and all echinoderms have
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*> > a larval stage that is as bilateral as you are, including
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*> > Starfish. Only the Jellyfish are radial, and they don't have
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*> > legs. 30 out of the 33 animal Phylums are bilateral,
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*> > only the 3 lowest (Jellyfish) are "Radial" and they have
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*> > no legs. Ergo, 4-LEGS is the minimum for an animal, and
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*> > THERE IS NO 3-LEGGED ANIMAL.
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*>
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*> Because you can not find one (slugs?) means that there is proven to be
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*> none. What the heck is that view doing on sci.math? (or even either
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*> sci.physics group?)
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*>
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*> > The reason for this ultimately is the Riemannian
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*> > structure of space. Sorry, it's an axiomatic law of Physics,
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*> > you can stop searching for a 3-Legged animal, there is none.
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*>
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*> Possibly you take it as an axiom, but in maths we are taught to examine the
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*> axioms carefully.
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*>
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*> Francis
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[Hammond]

Well I wish you'd examine this axiom for us because it

explains the existence of the Cross of Christianity. I

simply think it's important to know that the Cross has an

axiomatic physics reason for existing, which points to

the real miracle of Calvary.

There's a reason this thread is on 2 physics NG's- namely,

there IS a physics reason why there is no 3-legged animal,

or more accurately, why FOUR is the minimum number of Limbs

(legs) for an animal. The REASON for this, it turns out,

extends all the way to the fundamentals of General

Relativity and differential geometry. To wit:

1. Real space is Riemannian BECAUSE a Riemannian space

is locally Euclidean (in 3D), and as we all know

Euclidean Space is the space of Rigid Body Rotations.

Essentially, you can not rotate a Rigid Body in anything

but a Euclidean Space, because a rotation matrix

describes a QUADRATIC form, and by definition, a

Riemannian-Euclidean space is a space with a QUADRATIC

METRIC. So this is the physical reason that REAL space

is forced by Nature to be Riemannian-Euclidean.

2. Secondly, we know for a fact that there are

only a limited number of "simple" coordinate

systems possible in a Euclidean Space:

Cartesian

Polar

Cylindrical

Spherical

3. Thirdly, we point out that all "simple machines"

in Mechanics are simply mechanical realizations

of these elementary coordinate systems:

Cartesian = Building block (brick, board)

Polar = Gears, wheel

Cylindrical = Screw, Piston

Spherical = Ball bearing, Jib boom

Cartesian = Plants, Animals, houses, cars

airplanes, T.V., Typewriter

4. Finally, of the simple machines above, we see

that the "Cartesian Machine", that is the 3-Axis

orthogonal machine is the "simplest" to mechanically

realize. This is WHY the human body is a 3-Axis

orthogonal (Cartesian) Machine (human skeleton).

This then of course explains the existence of the

Cross of Christianity. The Cross is simply the

Cartesian Coordinate System itself, and is in fact

the Body Plan of all living things including Man.

therefore it is the symbol, or image, of "God".

5. It follows directly that if you want to support a

3-Axis Cartesian machine (square machine) on a

plane by means of "legs", and the structure is

already a quadrate structure in any orthogonal

crossection, that 4-LEGS is the most easily

mechanically realized and the most stable.

I.e., a "cross" is the Crossection of a square.

6. Therefore, we see that the REASON that the (minimum)

number of Legs for an animal is FOUR, or to put it

more dramatically, There is no such thing as a

3-legged animal. this for instance is why a car

has 4-wheels, same reason a horse has 4-legs.

Axiomatic Cartesian geometry, NOT Natural Selection.

7. Finally, it should be pointed out that this is

due to Occam's Razor, NOT Natural Selection.

Nature simply chooses the "simplest" mechanical

option available. Moreover, this structure is

based on axiomatic GEOMETRY and therefore is

"immune to Evolution", in fact, you might say,

it is ordained by God.

Now, if you would like to analyze some axioms, please

be my guest and give us your analysis of the above

axiomatic analysis of why "the image of Man" is a

Cross (Cartesian Coordinate System). And I suggest

you start with the matter of the necessity of Rigid

Body Rotation in the real world.

PS: Helmholtz was the first to notice this rationale

for why REAL space must be Riemannian, see:

http://www.bun.kyoto-u.ac.jp/~suchii/R&H.html

-- Be sure to visit my website below ----------------------------------------------------------- George Hammond, M.S. Physics Email: mailto:ghammond@mediaone.net Website: http://people.ne.mediaone.net/ghammond/index.html -----------------------------------------------------------

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