From Newsgroup: sci.physics.relativity

On 11/24/2024 12:28 PM, Ross Finlayson wrote:

On 11/24/2024 10:16 AM, Ross Finlayson wrote:

On 11/24/2024 12:53 AM, J. J. Lodder wrote:

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,

Jan

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).


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.


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.


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.

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".


This is a usual topic in my podcasts,
https://www.youtube.com/@rossfinlayson .

Of course energy's conserved, in locales, is the idea,
and entelechy, the connection, is, conserved as a constant,
so, usual conservation laws are continuity laws too,
where of course you can find a great amount of consideration,
of the constant conservation of connectedness continuity,
where though energy's conserved: in vacuum energy, so,
the sum-of-histories sum-of-potentials is always evaluated
instantaneously at every instant, and that's conserved.

There's either conserved or created/destroyed, of course
it's to be considered that creation and conservation are
the two sorts of ideas about tendencies and propensities,
of least action and action-at-least, about dissipation
and attenuation also oscillation and restitution,
that our analytical logicist positivism is also
quite ideal and thoroughly on its own all the terms.

It's a continuum mechanics, ..., this field theory a gauge theory.
(An inertial system and a differential/integral system.)

So, the "identity dimension" is sort of like the origin
in projection, and the envelope of various integral equations
including "the linear fractional equation", Clairaut's and
d'Alembert's, then the actual definition of motion: is
that the current way today, it is under-defined, so the
current way today, it was given some further definition,
"worlds turn".

There's a hundred and more hours of lectures in my podcasts,
it's about Foundations, then though mostly it's the result
of an extended letter-writing campaign of about 10's thousands
essays, in short form.

Of course energy is in a sense always "potential", in
a sum-of-potentials theory where the potential fields
are the real fields, even the classical fields.

All one theory, ....

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