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From: Archimedes Plutonium on 26 Apr 2010 01:22


Archimedes Plutonium wrote:
(snipped)
>
> Postscript: Chapter 18: "pi" and "e" and "i" explained; inverse fine
> structure constant, and proton to electron mass ratio, speed of
> light,
> all linked and explained.
>
> Alright, I bounced around, back and forth several times now on
> deriving
> the speed of light out of pure math and then sometimes not so pure
> math
> but with a help from physics.
>
> I have now come to a realization that the derivation is a pure
> mathematics
> derivation. Just as easy as realizing that "pi" is a pure math
> derivation for
> it is circumference divided by diameter and where the units disappear
> in the
> division. So lets say you measure in meters or in centimeters or some
> other
> units, well the units disappear in the division and all that remains
> is a number
> of "pi" as 3.14....
>
> Difference with speed of light is that we have to have units of
> distance/time
> as the end result. So we cannot make nor do we want to make the units
> disappear.
> But this desire for units does not hinder us from deriving the speed
> of light
> out of pure math.
>
> So looking back at my posts on this topic, where I finally concluded:
>
> speed of light = summation of meridian strips distance / log-spiral-
> radius
>
> Definition: Log-spiral radius is the 1/4 of semicircumference.
>
> Definition: meridian strips are strips and not lines for they have a
> width
> involved and in the case of Earth in kilometers the width of the
> strips
> is a kilometer wide.
>
> Now obviously one cannot do the speed of light for Earth sphere in
> parsecs/sec
> since that meridian strip is not amenable to such a small sphere.
> Likewise
> I cannot do km/sec on a globe in my house that is only 30 cm diameter
> sphere.
>
> So the idea of the speed of light is the same as the idea of pi as a
> division. Only
> instead of dividing circumference by diameter, the speed of light is
> the summation
> of meridian strips distance divided by the log-spiral-radius.
>
> And the idea is that a light wave wanting to travel around every
> meridian strip on Earth
> that is a km wide strip, and divided by the log-spiral-radius will
> take 1 second to do that
> travelling.
>

Sorry, that is confusing and will lead to errors in thought. It does
not take
1 second for a light wave to go travelling through every km meridian
strip,
just as it does not take 1 second for a light wave to go travelling
through
every millimeter meridian strip of the Sun.

It takes longer for a light wave to travel through all the millimeter
meridian
strips on the Sun than to travel through all the km meridian strips of
Earth. But what remains constant is the speed of light and it is
constant
due to the division out of the log-spiral-radius.

So sorry I set the reader up for a error confusion.

> Now if given a tiny sphere, and the strips are now in millimeters,
> then here also, in one
> second, the light wave will travel through all those millimeter
> meridian strips.
>
> Now given a large sphere such as that of the Sun and if we choose to
> have the strips in
> millimeters. Then the log spiral radius will be large also and have
> the effect of dividing
> out the large number in millimeter distance so that the end result is
> the speed of light
> in millimeters/sec.
>
> So, yes, the speed of light is derived out of pure mathematics,
> without ever having
> to refer to physics. The speed of light in summary is:
>
> summed distance of meridian strips / log-spiral-radius
>
> It is a beautiful discovery and the most beautiful realization of what
> the speed of
> light is all about. It is about the breaking of symmetry of Euclidean
> geometry
> into its two component geometries of Elliptic and Hyperbolic. The
> meridian strips
> are Elliptic and is a distance or length measure. The Log Spiral
> Radius comes
> from Hyperbolic geometry and is the measure of time.
>
> When you divide that hyperbolic radius into the summation length of
> meridians
> is a constant in Nature, a speed of light constant. Just as "pi" is a
> constant in
> Nature. Pi is constant in Euclidean geometry. The log spiral is
> constant in
> Elliptic geometry with equiangular. But when you have both Hyperbolic
> with
> Elliptic geometry as one geometry, the speed of light is a contant in
> that unioned
> geometry.
>
> Eureka Adeste Fideles!!
>

So let me add a few more ideas here. Speed of light as a constant
provides
for Special Relativity which means Space and Time are one continuum
and that
flows directly into the idea that Elliptic geometry unioned with
Hyperbolic geometry
is our Universe.

Another way of thinking about the speed of light as a constant is that
the Maxwell
Equations need to be invariant as to whether a magnet in motion
through a stationary
wire loop is the same as a stationary magnet with moving wire loop
(another form of
Special Relativity). So when we look at electricity and magnetism such
as the
iron filings pattern with a magnet close by, that those filings form
elliptic geometry
rings but also there is the hyperbolic opposite ring pattern.

Light waves are the travelers between two geometries and can be
thought of as
the glue that holds together the two geometries. It was Faraday who
remarked that
light is a disturbance in the EM field. Well, light is what holds
together the Elliptic with
Hyperbolic geometry as a glue between them, and when disturbed it
releases that light
wave glue.

Archimedes Plutonium
http://www.iw.net/~a_plutonium/
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
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