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Subject: Re: Does the Math Show A Doubling of the Gravitational Deflection of
 Starlight? (doubling spaces)
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On 01/22/2025 06:55 AM, Maciej Wozniak wrote:
> W dniu 22.01.2025 o 14:40, Paul.B.Andersen pisze:
>
>> It is however _many_ examples that multiple distorted images
>> of the same object can be seen.
>
> Sure, a mirror is quite a common thing.
>
>> A star or quasar is radiating light in all direction.
>> So if, relative to us, the star or quasar is behind a large
>> galaxy, light that is passing close by the galaxy may be
>> gravitational deflected so that the light is bent towards us.
>
>
> Unfortunately, your idiot guru was an idiot
> and insisted  the light path [in vacuum] can't
> deflect and  is always straight/geodesic - and
> that's where your "non-euclidean space" idiocy
> started.
>

In mathematics after Vitali and Hausdorff yet
also since Zeno and "Zeno's graduation course"
are mathematical reasonings why the discrete
and continuous make what are called "doubling
spaces" and "doubling measures" and "halving
spaces" and "halving measures", about what's
called invariant measure theory and quasi-invariant
measury theory in Ramsey theory, helping explain
why the doubling as it were, is "nature's quantization",
about the light-like, with regards to the photonic.

So, the quasi-invariant measure theory also is
involved in mathematical emergence when the
naive mathematical convergence doesn't arrive,
about law(s) of large numbers and infinity and
continuity.

It's not so much that physics can't do with
infinity as can't do without it.