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Unfortunately, many physicists have been imbued with ideas that it is exactly philosophy that is in need of such help. The origin of such suspicion goes back millennia. Early philosophers had regrettably misguided their contemporaries about the value of physical experimentation. Ever since the discipline has paid for this attitude of early arrogance.
For a long time physics has been able to steer clear of a similar arrogance in their discipline until the beginning of this century. When quantum physics came along, the pitfalls of 'exclusivism' became too numerous and the shield of self defense assumed an unintended edge of arrogance. Physicists began congregating in the legendary land of Hans Anderson under the inspiring guidance Nils Bohr.
Rarely had scientists encountered so many new things in so short a time. Faced with the daunting task of sorting out an inebriating avalanche of new perspectives, they started giving known words new meanings in physics. Examples are: nonclassical probability, absolute a priori uncertainty, particle-wave duality etc. Einstein supposedly was quoted as having referred to their activity as an epistemological orgy. If he really said this, his sense of physical reality was superb as usual, even if the word "epistemology" had been mildly misused.
The early phases of epistemology, to which Einstein presumably referred, are now known as "ontologies." Mario Bunge calls it "the furniture of the world." We know there is good and bad furniture and last, but not least, furniture should harmonize with its intended environment.
It is an irony of life that, as philosophy in the early days, now physics stumbled into its own trap of arrogance. If physics made some questionable ontological choices, this booklet may refer to them as rare brands of very durable Copenhagen furniture, yet beautiful in their own right. The problem has been more one of fitting rooms, tables and chairs together and less one of discarding furniture items, because in a short time the house of physics had been changing in a very dramatic fashion.
To the extent possible, these pages attempt a 'nontechnical account' of modern physics' facts and sins. In practice this means, there are very few formulas in this book to prevent icons from dominating the scene. If that is a shortcoming, let a more extensive discussion of formalisms make up for it. The result is a subject presentation which, in an optimistic sense, might be said to be reaching from preschool to beyond university.
Since Kant's Critique of Pure Reason had philosophy confessing to its sins, followed by a penance long ago, physics is now invited to do the same by confessing to its arrogance. The court of public opinion has sufficient grounds to consider charging the physics profession with:
- abandoning a royal road to quantization.
- inadequate consideration of alternatives to Copenhagen views.
- intimidating rather than convincing others of what are believed to be right choices.
Since mathematics is a discipline without which much of physics could not be, the last chapter discusses some parallel developments between the two. A moderate measure of mathematical rigor and down-to-earth philosophy go a long way in helping physics home in on common corrective measures that can disentangle situations where physics may have gone overboard amidst an abundance of too much new in too little time.
Pondering the very valuable help rendered by Christine Brunak and Ruth Jackson in the process of proofing the text, it still puzzles and despairs me as to why this subject matter has either something akin to pulling teeth or tends to bring people to the brink of nervous breakdown. - Preface
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Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties. This lingering dichotomy of purpose for a major physical discipline has much shrouded further insights into the foundations of quantum theory.
Quantum Reprogramming resolves this long-standing dichotomy by examining the mutual relation between single systems and ensembles, assigning each its own tools for treating the subject at hand: i.e., Schr?dinger-Dirac methods for ensembles versus period integrals for single systems.
A unified treatment of integer and fractional quantum Hall effects and a finite description of the electron's anomalies are mentioned as measures of justification for the chosen procedure of resolving an old-time dichotomy. The methods of presentation are, in part, elementary, with repetitive references needed to delineate differences with respect to standard methods. The parts on period integrals are developed with a perspective on elementary methods in physics, thus leading up to some standard results of de Rham theory and algebraic topology.
Audience: Students of physics, mathematics, philosophers as well as outsiders with a general interest in the conceptual development of physics will find useful reading in these pages, which will stimulate further inquiry and study.
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Publisher: Dover Publications
Year: 1962 / 1997
"I discovered (Post's) monograph "The Formal Structure of Electromagnetics" in which I saw the first definitive treatment of the Faraday effect, and its non-reciprocity. This idea was what I had been searching for, for if an experiment between EM and gravity was to work, it would have to accumulate data - like the Faraday ratchet - in order to measure very small effects. The Jacksonian version of EM theory (does) not come close to explaining the features that were so clear in Post's expose. I used to call the small book, the "Tourist's Guide of Electromagnetism". The book is back in print now (Dover), and no one interested in EM should be without it." - Robert Kiehn