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By Tian Yu Cao
At the foundation of the publisher's overview and people of alternative readers, I had was hoping that i would be capable of persist with the trail of conceptual advancements. precise, as marketed, the mathematical rigor used to be now not over the top. still, probably as the writer divided the subject right into a sequence of specific "cuts" at a number of degrees, i discovered myself not able to maintain music. If somebody answered that the matter used to be me, no longer the e-book, i would not argue.
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Extra resources for Conceptual Developments of 20th Century Field Theories
Sample text
Such a perspective can be suitably furnished with an adequate account of the rise of the field programme itself. 1 Physical actions in a mechanical framework As we mentioned in chapter 1, two intellectual trends, the mechanization and mathematization of the world that occurred in the early modern period, effectively changed people's conceptions of reality and causality. According to mechanical philosophers, such as Descartes and Boyle, the physical world was nothing but matter in motion. According to the Neoplatonists, such as Kepler and Henry More, the physical world was mathematical in its structure.
Some mathematical physicists in the 1840s treated the problem in a different manner. Stokes, for example, took the continuity, or fluidity or elasticity for that matter, not as a macroscopic effect of constituent particles, but as a condition that attained perfection only in a perfectly continuous substance. He also took the motion of ordinary continuous medium as determinable from the equations of perfectly continuous substance. Here we find a juncture at which the Neoplatonist conception of reality, `whatever is true mathematically is true in reality', came into play and helped mathematical physicists to shape their novel conception of a continuous substance.
9. It happened first in Lorentz's theory of the electron in which the ether had no mechanical properties and was synonymous with the absolute rest space, and then in Einstein's special theory of relativity in which the concept of an ether was simply removed from its theoretical structure. 10. The propagation of virtual particles is only a metaphor, because no definite spatial trajectory of an identifiable virtual particle can be traced out. The ontological status of virtual particles is a difficult question.