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On 11/24/2024 12:53 AM, J. J. Lodder wrote:Of course energy's conserved, in locales, is the idea,Ross Finlayson <ross.a.finlayson@gmail.com> wrote:>
>On 11/12/2024 02:57 PM, LaurenceClarkCrossen wrote:>Riemann was a brilliant geometer who made the elementary error of>
reifying space by claiming parallel lines could meet. Schwarzschild and
Einstein carried through with that mistake, making people believe it
was
intelligent.
Art students know there's a point at infinity.
A whole line at infinity of them, even,
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Jan
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One idea about the quadrant is to shrink it to a box,
given that the ray from origin (in a Cartesian space)
in x = y is an "identity dimension" and rather "original"
itself, then that the hyperbola, xy = 1 andx = 1/y and y = 1/x,
its corner, is parameterized to go out the identity line
and result in the limit connecting (0, \infty) and (\infty, 0).
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Then, it's possible to make some ways for like a Fourier-style
analysis, instead a "hyperbolic hat", from shrinking the quadrant
to a box, which now has a diagonal this identiy line, and reverse
diagonal the asymptotic hyperbola.
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This way then one may imagine an entirely novel or at least
to my meager experience otherwise unknown analytic series,
like Fourier for bounded regions yet furthermore rather boxed,
and arrive at a thing.
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Yes it's so that behind an point at infinity are more points
at infinity, like beyond the speed of sound is the speed of
light is, in classical theories, the speed of gravity, infinity.
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You know, 0 meters per second is infinity seconds per meter, ...,
thus it takes infinitely-many higher-orders of the derivatives
of displacement to help define the under-defined changes of
whatever are dynamics in "rest" and "motion".
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This is a usual topic in my podcasts,
https://www.youtube.com/@rossfinlayson .
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