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Old March 9th 07, 11:20 PM posted to alt.astronomy
oldcoot
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Default In a Spirit of Harmony (was - Age of Universe...)


P.S. to Ody, Painius et al -

Just to reiterate, this is a re-posting of Paxton's treatment of the
inverse square law. Being a math hotshot, he demonstrates
mathematically what i've been saying over and over (but apparently
hasn't registered with anybody yet): The ISL is the product _OF AND
ONLY OF_ the *acceleration component* of the flow, not the specific
velocity of the flow.

Visualizing the flow inbound from deep space, the *acceleration rate*
of the flow (aka the "curvature of space") is what's rising
exponentially, _NOT_ the velocity of the flow itself at Earth's
surface.

There is no conflict with the *velocity of inflow* at Earth's surface
being equivalent to escape velocity.

Notice that Paxton echoes the statement (paraphrasing) that insofar as
the ISL relates to gravity, gravity
does not "obey" the ISL but creates it.


II.D. The Inverse Square Law (ISL)

This is a known law for gravity which states that the acceleration
that we call gravity varies inversely with the square of the distance
from the center of the mass that creates that acceleration. In other
words, if we are at an altitude which is twice as far from the center
of the earth as the earth's surface, the acceleration due to gravity
with be one-fourth as great as it is on the earth's surface. So if the
gravity at the earth's surface is 32 feet per second squared and the
radius of the earth is 4,000 miles, the gravity at an altitude of
4,000 miles (which is 8,000 miles from the earth's center) will be
approximately 8 feet per second squared.

In mathematical language, the ISL is ga/ge = re2/ra2 where ga is the
gravity at a higher location, ge is the gravity at a lower location,
ra is the radius at the same higher location, and re is the radius at
the same lower location.

On page 14 of Book Two of the series Behind Light's Illusion
is the equation g = v2/2r, where "g" is gravity.
We may use this eqation because it is derived for nether purposes, is
derived correctly, and is the same one known for escape velocity.
Therefore, we may substitute va2/2ra for ga in the ISL equation and
ve2/2re for ge, and simplify.
The result, va/ve = re1/2/ra1/2, shows that v is indeed proportional
to r-1/2. Therefore, the fact that each level of incoming nether is an
energy level is, very likely, the reason for the ISL.

The inverse square law, like all laws of science, is not a reason
explaining why something works. It is merely a statement of the
consequences of something working. ANY VALID GRAVITY THEORY MUST SHOW
THAT THE GRAVITY IT THEORIZES ACTUALLY CREATES THE INVERSE SQUARE LAW.
The line of reasoning shown above provides a gravity that perfectly
creates the inverse square law. (Emphasis added)

************************
And as stated previously in the 'Dark Matter' thread, gravity is not
constrained to "obey" that which it creates in the first place. Thus
in deep intergalactic space, where hydrodynamic pressure of space is
highest, greatly amped-up acceleration-rates ("curvatures of space")
would explain the enhanced gravitational lensing of galaxies and non-
Keplerian (frisbee-esque) rotation of galaxies *without* need for ad
hoc fixes like
"dark matter" which are necessary under the void-space regime.

oc