Good, so now, in all these years of writing and revising this textbook, I have learned that the best chapter format is to have a main chapter and then subchapters. Science texts are never smooth writing or reading but rather, always choppy and segmented. So that Chapter 1 would be the 4 Maxwell Equations axioms with the 5th axiom of Chemistry and then have subchapters such as 1.1 then 1.2 then 1.3 then 1.4 etc. Subchapters help organize a book. So Chapter 1 overall is how the axiom system of Maxwell Equations with 5th axiom of Chemistry gives us all of physics.
Chapter 2 overall should be about that 5th axiom of all the facts of Chemistry. So that the 4 Maxwell Equations have some entity to work upon. So the facts of Chemistry is the object of which the 4 Maxwell Equations operate upon. Now the axioms of Natural Numbers is somewhat like this: wherein you have axioms of object-- there exists a 0 and 1 and there exists properties and then the Mathematical Induction axiom is a operational axiom.
But Chapter 2 should focus on that 5th axiom of Facts of Chemistry.
In the 5th edition I spoke of the most important fact of Chemistry as the Atomic Hypothesis and its most singular important characteristic-- perpetual motion. Feynman made a lot of mistakes in physics, but one of his best ideas is his statement of the Atomic Hypothesis and the importance of perpetual-motion.
So Chapter 2 and its many subchapters should concentrate upon the 5th axiom and all its ramifications.
Now I spent a long time in the 5th edition of this textbook on the topic of perpetual-motion, but not enough time of relating how perpetual-motion comes from the Maxwell Equations since the operational axioms are the Maxwell Equations. We already see that there is perpetual motion involved with the Faraday law and the Ampere/ Maxwell law.
But on a obvious commonsense level, we see perpetual-motion in the common everyday world at large. We see every day, every hour, every minute every second the force of gravity. The force of gravity is perpetual-motion since it is proportional to mass/energy and mass/ energy is perpetual.
Science as taught in schools starting in the late 1800s became terribly confused and outright error ridden. They taught that there is no perpetual-motion and even concocted a fake principle of no perpetual motion in the 1st law of thermodynamics as stated by the famous initiator of Quantum Mechanics, himself, Max Planck:
--- quoting from Wikipedia --- An example of a physical statement is that of Planck (1897/1903): It is in no way possible, either by mechanical, thermal, chemical, or other devices, to obtain perpetual motion, i.e. it is impossible to construct an engine which will work in a cycle and produce continuous work, or kinetic energy, from nothing. --- end quote ---
Now Planck initiated Quantum Mechanics with his work in blackbody radiation with the Planck constant which was taken up by Bohr to yield the Bohr Atom and the start of the theory of Quantum Mechanics. And in the history of science, it often happens where a boundary from the old ideas to the new ideas leaves a fissure or rift in the education of physics where some old fake ideas transfer over into the new theory. What I am talking about is perpetual-motion is a crucial part of Quantum Mechanics but that the old fake idea of 1st law of thermodynamics of no perpetual motion was never scrutinized when QM took over.
Anyone reading the history of Thermodynamics can get an appreciation of the vast attempts of making the subject axiomatic and eventually Thermodynamics was axiomatic, but its 1st law is invalid and a fakery of physics. The Maxwell Equations derives all the other laws of thermodynamics but not the 1st law for it is bogus.
Now the reason physics had the 1st law is that there was no quantum mechanics in existence yet to contend the 1st law. And the 1st law was invoked because of the increasing tendency in the 19th and 20th century with mechanical engines arising to have fake machines touted as perpetual motion. Physics countered the fake inventors scamming perpetual motion.
But in truth, when Quantum Mechanics was borne between 1900 and 1930, all of a sudden the atom required perpetual-motion. The electron orbiting the nucleus in every atom required perpetual motion, whilst the physicists of thermodynamics kept harping of never any perpetual- motion.
So the sociology of physics from 1800s to 1930 and beyond never saw fit to open up the case of perpetual-motion, that in thermodynamics, they were blustering that no perpetual-motion exists and yet in Quantum Mechanics it is the heart of the electron in orbit.
So here we see why Physics is lost without axioms of physics, why we have silly ideas passing off as laws where the 1st law of thermodynamics says no pertual motion and yet by 1930, perpetual motion is everywhere inside each atom. Why we have physicists by 1950 claim black-holes squeezing matter beyond the Pauli Exclusion Principle, yet the Pauli Exclusion Principle forbids black-holes.
So when Physics does not have an axiom system, it becomes a worthless trashpile of contradictions and inconsistencies. Whoever has access to a peer reviewed journal gets to put his crank and crackpot ideas as physics when it is pseudo-physics.
So, what is true and not true, when the Maxwell Equations are axioms over all of physics, then there exists perpetual motion over all of physics. The Faraday and Ampere/Maxwell laws are perpetual motion. The force of gravity is really EM-gravity and is a perpetual-force giving perpetual-motion.
I know it is very confusing for scientists of the last 100 years, because few if any of them had a logical mind to be doing science. To raise the proper questions, to question whether some ideas contradict others and yet nothing is ever questioned or done.
When the Maxwell Equations are the axioms over all of physics, then the 1st law of thermodynamics is a false law. Conservation laws are correct for the most part as conversions, where matter converts to energy. But the concept of perpetual-motion is vastly different from conversion of mass to energy or vice versa.
Now, what they really meant to say in thermodynamics for the 1st law, which is allowed by the Maxwell Equations is that mass and energy are convertible from one to the other as conservation of mass and energy, but that convertibility has nothing to do with perpetual-motion. So when Max Planck wrote his above, he never had axioms for physics and was bound to make mistakes as well as the others who offered their version of the 1st law of thermodynamics.
So, here again, is a nice example of when physics is without an axiom set, that it fumbles and bungles and messes up itself in disaster. When the Maxwell Equations are taken as the axiom set, then the 1st law of thermodynamics referring to perpetual-motion would have never been such a silly daffy law entered into physics. For the Maxwell Equations in the 1860s allowed a Conservation of Energy as seen in the negative sign of the Faraday law which gives the Lenz law which is a conservation law. But the Lenz law says nothing about perpetual- motion.
Now I should be able to set a commonsense proof that the Big Bang is a fake theory from the lonesome idea of Perpetual Motion, because the Big Bang has a time of "rest before the explosion" and that there should be no perpetual-motion in a Big Bang Universe. However, since mass and energy is a perpetual quantity-- neither created nor destroyed but convertible, that the force of gravity, EM-gravity is perpetual motion on the large scale, the observable scale, not just electrons orbiting inside of atoms.
People who write books about the Big Bang, explain it as that some time elapse after the event, then the Universe starts to have laws of physics come into existence. So some seconds after the Big Bang event, all of a sudden the law of universal gravity comes into being. And it is not considered perpetual-motion. But if the Maxwell Equations are the axioms of physics, there never was an explosion and a waiting period for gravity to come into being, but that gravity was always there as perpetual and perpetual motion.
So the perpetual motion of the force of gravity, dispels the Big Bang theory as a load of awful nonsense.
Now either in Chapter 1 or Chapter 2, I need to detail how the Maxwell Equations as axioms over all of physics gives the 4 forces as a EM- force for the facts of Chemistry require a Strong-Nuclear, Weak Nuclear, Coulomb, and gravity force. Chemistry is usually not seen to be the science of the nucleus of atoms, and that is given to Atomic Physics, but when the Maxwell Equations are the axioms, then the Strong Nuclear and Weak Nuclear forces are chemical bonds of protons and neutrons.
So with Chemistry the 5th axiom, it includes both the electrons of atoms but also the nucleus of atoms, and that Atomic Physics becomes more Chemistry than Physics.
So if I do not derive the 4 forces of physics in chapter 1 then do so in chapter 2.
Google's (and Bing's) searches and archives are top-heavy in hate-spew generated by search-engine-bombing. And the Google archive stopped functioning properly by about May 2012 to accommodate Google's New- Newsgroups. And recently Niuz.biz (Docendi.org) threatens to harm your computer if opening a post of mine.
The solution to the sci. newsgroups is to have the sciences hosted by colleges and universities such as Drexel University hosting sci.math, not by corporations like Google out to make money. Science belongs in education, not in money motivated corporations. Do I hear a University doing sci.physics, sci.chem, sci.biology, sci.geology, etc etc
Only Drexel's Math Forum has done a excellent, simple and fair archiving of AP posts for the past 15 years as seen here: