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Group Theory in Physics: Problems and Solutions Michael Aivazis
Publisher: World Scientific Publishing Company

Over the next two centuries, scientists applied Newtonian physics to all sorts of situations, and in each case the predictions of the theory were borne out by experiment and observation. The problem with the cover is the name of one of the authors: Leonard Susskind. See string theory miss the boat and then get "rescued" by a new formulation, a new set of constraints and, what the heck, an extra dimension or two in order to explain a new observation or to wish a couple of hundred trillion solutions into the cornfield. In 1901, the German physicist Max Planck (1858–1947) proposed a solution. The evidence is for certain specific mathematical forms, of group theory, di®erential geometry and operator theory. He's an extremely talented physicist and writer, to be sure, but he's a string theorist. Starting with a challenge to Isaac Newton, this calculus originated from extremization problems in physics, e.g., least time, maximum entropy, least action. Part Two: The solution to the mystery. Now, Greene gives a quick recap of his own topic of research: string theory, an approach to reaching Einstein's dream of a unified theory of physics. A syllabus of books/literature from calculus to group theory to QFTs in Science Textbook Discussion is being discussed at Physics Forums. The first step in the scientific method is to define clearly a problem or question about how some aspect of the natural world operates. €�The central idea of “Some researchers lost heart,” confesses Greene, who then proposes his solution: turn the problem on its head. 2) Resolve the problem of observer-dependence in quantum theory . Add Daily Galaxy to igoogle page AddThis Feed Button Join The Daily Galaxy Group on Facebook Follow The Daily Galaxy Group on twitter · « Missing Lithium in Milky Way Dwarf Galaxy Challenges Big Bang This new physics is sorely needed to find solutions to a series of yet unresolved problems, as presently only the visible universe is explained, which constitutes just four percent of total matter. Smolin identifies five challenges facing physics: 1) Combine general relativity and quantum theory into a single complete theory. They could group particles according to certain properties. The answers to these questions are not easily found in popular QFT texts, nor in books on the mathematics of differential geometry, group theory, or algebraic topology.