Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Chapt15.42 Deriving E=mcc purely from the Maxwell Equations; energy and mass are dualities not equivalencies #1196 New Physics #1316 ATOM TOTALITY 5th ed
Feb 2, 2013 1:49 AM
On Feb 2, 12:23 am, Archimedes Plutonium <plutonium.archime...@gmail.com> wrote: (snipped) > > Duality is a concept that is lower than what equality is a concept in > mathematics. In fact, mathematics has no concept lower than equality. > But Physics is richer than mathematics and physics subsumes all of > mathematics. And so, in physics there is a concept of equality, but a > concept even lower in that of duality. >
For me, often, it pays to reread what I just wrote a few minutes ago, because it jogs my mind into ramifications I may have missed.
In mathematics the lowest concept other than numbers and points and lines, is the concept of equality. So in mathematics their lowest concepts are these, points, lines, number, equality, greater than, less than, etc etc. Those are a few of their lowest concepts, their primitive axiom concepts.
And all of those concepts are borrowed into physics. However, physics has a concept that is far lower than any axiom concept in mathematics. It is the concept of duality, that particle is the dual of wave and that electricity is the dual of magnetism. Mathematics speaks of relationships and uses the word "dual" such as in regular polyhedra, but it is not what physics uses the word dual and duality.
Duality in physics is far below any axiom concept in mathematics and duality in physics is the existence function. In fact, in physics we have a concept of existence, whereas in mathematics, existence is not a axiom concept.
So in physics, what gives rise to an electron, what makes the electron exist is duality of particle and wave, or of energy and time or of charge and mass.
So the axiom-concepts of physics are lower than the axiom concepts of mathematics, because in physics, we have to have existence of objects, where in mathematics, the number 1 does not exist as a physical entity, nor does a line exist as a physical entity. But in physics, a electron or proton exists and to exist they must have a duality that gives rise to the existence.
In Physics, the Maxwell Equations are the axiom set with the facts of Chemistry thrown in. In Mathematics the axiom set of Euclidean geometry is the Euclid axioms or the revision set of Hilbert axioms. In physics, the primitive terms or axiom concepts are duality, mass, charge, electricity, magnetism, etc. And because physics has duality as a axiom concept, a primitive term, this allows physics to have "existence of objects". The electron exists because particle wave duality, or energy time or mass charge, etc.
Google's archives are top-heavy in hate-spew from search-engine- bombing. Only Drexel's Math Forum has done a excellent, simple and fair archiving of AP posts for the past 15 years as seen here: