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Topic: Maxwell Equations as closed algebra set of axioms proves no 4th
dimension, prove anything else? #1475 New Physics #1825 ATOM TOTALITY 5th ed

Replies: 8   Last Post: Sep 16, 2013 3:49 PM

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 plutonium.archimedes@gmail.com Posts: 7,951 Registered: 3/31/08
for physics, decidable is Experiment proven #1477 New Physics #1827
ATOM TOTALITY 5th ed

Posted: Sep 7, 2013 7:24 PM

On Saturday, September 7, 2013 5:21:20 PM UTC-5, Peter Percival wrote:
> Archimedes Plutonium wrote:
(snipped)
>
> > So the axioms of all of physics and thus all of mathematics since it is a subset of physics are these 5 axioms:
>
> >
>
> > (1) all the facts and data of chemistry
>
> > (2-5) the 4 Maxwell Equations
>
>
>
> Do you require your axioms to be decidable? More specifically, if I
>
> present you with a statement about chemistry, can you tell whether the
>
> statement is a fact and therefore an axiom?
>

(snip)

No-one is used to axioms in physics or science. Only mathematicians are used to axioms.

To make axioms in science and especially physics was first invented by me by writing this textbook.

So a question on "decidable" by you, comes from decidable in mathematics axiom sets.

First off, you must be aware that Physics is above mathematics and that all of math comes out of physics, so to ask if the axioms of Physics are decidable must be put into that scheme of things.

Now for example, if we knew only a little about math, how to add, subtract but nothing about circles or pi or circumference or diameter and then saw a circle for the first time with its circumference and diameter, we may be smart to ask, how many diameters does it take to go around the circle once. And we would think it is all math and all the responsibility of math and no physics involved. So we measure crudely several circles and their diameter and circumference and we begin to see that a bit more than 3 diameters makes a circumference. But if we get a full education and become a scholar of science and math, we find out that the Universe itself is one big atom and the chemical element that fits the numbers of physics the best is the element Plutonium. We find out that plutonium has 22 subshells in 7 shells or 22/7 = a close approximation of pi. So although pi is a subject of mathematics, it is produced by Physics, because if the Atom Totality were say hydrogen or helium then pi would be 1 subshell in 1 shell or 1 for the value of pi. In such a universe, if people were living in it, they would all measure their circles with pi equaling 1, instead of 22/7.

So to ask if the axioms as (1) Chemistry and (2-5) Maxwell Equations are decidable is a rather silly question of such axioms. Such a question is not silly if asked of the axiom of choice in algebra or the parallel postulate of geometry, but to ask of a set of axioms which produces all of mathematics itself is a silly question.

Have you studied Logic?

If you had, you would know that logic comes with statements and then there are axioms of operations such as "and", such as "not", such as the "conditional". So you have P, and Q and other statements for which you apply operations upon those statements.

The axioms of physics work similar, in that the (1) facts and data of Chemistry are the statements, the P and Q are R and S etc. The operators on these statements are the Maxwell Equations.

In Physics, the superior subject over the lowly mathematics, is not looking for piddle paddle decidability issues, which philosophers would rush in and make the investigation childish. In Physics, our deciding is based upon Experiments, repeatable experiments, so that a fact of chemistry is obtained from repeatable experiments and upon those facts we apply the Maxwell Equations.

Even the Maxwell Equations are subject to Experiments. And if never any contrary experiments to the equations or facts of chemistry, then they remain the highest form of science and math available.

AP