Infinity-big and Infinity-small in Physics.
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Hegel distinguished two types of infinities: bad infinity (mathematical
sequence of numbers) and actual infinity (numbers regardless of their order)
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1 - "Infinitely big is that which cannot be increased"
/ Spinoza /
The infinite cosmic vacuum cannot be increased.
The concept of "time" cannot be applied to the Infinite cosmic vacuum.
Time and space are inextricably linked in it (mathematicians called
such unity "an absolute 4D spacetime")
The endless cosmic vacuum is home to all quantum particles and
antiparticles, virtual particles and billions and billions of galaxies.
The infinite cosmic vacuum has an isotropic, uniform, flat and absolutely
cold temperature T=0K, which is constantly deformed by entropy
and quantum fluctuations.
The structure of cosmic vacuum (T=0K) is described by the "Ideal Gas Theory"
and Quantum Physics.
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2 - The infinitely small is described by the "Ideal Gas Theory" and Quantum Physics.
a) According to the "Ideal Gas Theory", particles at T=0K have a Boltzmann k-molar
passive mass, have no volume, but are shaped like very thin membranes (pi=3.14 . . . )
b) According to Quantum physics, particles at T=0K have Planck active energy h=Et
c) On the quantum level the Planck active energy (E=h*f) is 10^39 (10^41)
times stronger than the Boltzmann k-molar passive mass (S=kTlogW)
and therefore their interaction created everything.
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3 - Georg Cantor:
article "On different points of view on the actually infinite"
In mathematics, the general (continuous function) is connected to the particular
(limit, limit of an infinitesimal quantity)
a) Infinite large is not available to increase.
b) Infinite small is conceived as "transfinite" -
"corresponding to the smallest super-finite number."
c) The actual, real, physical connection between them is unclear.
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4 - Scientists today ignore infinite quantities.
(in ordinary, everyday work, infinities are not needed)
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Infinity-big and Infinity-small in Physics.
Infinity-big and Infinity-small in Physics.
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Re: Infinity-big and Infinity-small in Physics.
How could a so-called 'infinite cosmic vacuum' exist when there are material/physical 'things' existing?socrat44 wrote: ↑Fri Jun 23, 2023 11:32 am Infinity-big and Infinity-small in Physics.
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Hegel distinguished two types of infinities: bad infinity (mathematical
sequence of numbers) and actual infinity (numbers regardless of their order)
------
1 - "Infinitely big is that which cannot be increased"
/ Spinoza /
The infinite cosmic vacuum cannot be increased.
The concept of "time" cannot be applied to the Infinite cosmic vacuum.
Also, what the word 'time' refers to, exactly, could only exist when there are material/physical 'things', existing.
So-called "physicists", "scientists", AND "mathematicians" can NOT agree upon and accept what the words 'time' AND 'space' mean NOR refer to, EXACTLY, let alone even becoming CLOSE to agree with and accepting what the term and phrase 'spacetime' COULD mean or refer to, EXACTLY.
But if there ARE 'particles' or A 'particle', of ANY sort, or of ANY size, or of ANY number, then there is NOT an ACTUAL 'vacuum', let alone an 'endless cosmic vacuum'.
There may well be places, or areas, of absolutely NOTHING AT ALL, or, in other words, just 'spaces', but this is just a Natural phenomena WHERE there ARE material or physical 'things' existing.
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Okay.
Okay.
Okay.
Okay
Umm, how can there be 'things' existing, and interacting, BEFORE 'Everything' was even created?
It is 'conclusions' like this above here WHY 'theories' are BEST just IGNORED. '
The ACTUAL and IRREFUTABLE Truth IS MUCH SIMPLER and MUCH EASIER TO UNDERSTAND, and TO EXPLAIN.
'Theories' tend to be SO COMPLEX and USUALLY SO UNABLE to be EXPLAINED and ELABORATED ON when QUESTIONED and/or CHALLENGED.
They may well NOT be NEEDED, but they certainly DO EXIST.socrat44 wrote: ↑Fri Jun 23, 2023 11:32 am 3 - Georg Cantor:
article "On different points of view on the actually infinite"
In mathematics, the general (continuous function) is connected to the particular
(limit, limit of an infinitesimal quantity)
a) Infinite large is not available to increase.
b) Infinite small is conceived as "transfinite" -
"corresponding to the smallest super-finite number."
c) The actual, real, physical connection between them is unclear.
-------
4 - Scientists today ignore infinite quantities.
(in ordinary, everyday work, infinities are not needed)
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The IRREFUTABLE Truth about what DOES and DOES NOT exist is VERY EASY TO EXPLAIN and VERY SIMPLE TO UNDERSTAND.
Re: Infinity-big and Infinity-small in Physics.
We are in danger of over-thinking the problem.
Cantor was the first mathematician/mathematical philosopher to make full sense of the concept of infinity. Leibniz, Kant, Hegel, Spinoza et al were hopelessly muddled in their thinking on this concept. Cantor realised that all of the philosophical problems can be resolved if we define "infinity" as the cardinality of a set, of which a proper subset has the same cardinality as the parent set itself.
If you are not already familiar with basic set theory, I think you should look into it. You don't need to be an expert to understand the properties of the infinities. A good place to start would be Bertrand Russell's "Introduction to Mathematical Philosophy".
Cantor was the first mathematician/mathematical philosopher to make full sense of the concept of infinity. Leibniz, Kant, Hegel, Spinoza et al were hopelessly muddled in their thinking on this concept. Cantor realised that all of the philosophical problems can be resolved if we define "infinity" as the cardinality of a set, of which a proper subset has the same cardinality as the parent set itself.
If you are not already familiar with basic set theory, I think you should look into it. You don't need to be an expert to understand the properties of the infinities. A good place to start would be Bertrand Russell's "Introduction to Mathematical Philosophy".