Abstract
In the Darwinian evolution of physical theories, stability (genericity) has survival value. To convert a singular physical theory based on Lie algebras of several levels into a generic quantum theory with the same levels and nearly the same predictions and symmetries in a limited correspondence domain, it suffices to simplify the algebra of each level by a small homotopy (general quantization). This extends and unifies special relativization, general relativization, and canonical quantization. For exercise I general-quantize the scalar meson field in Minkowski space-time. The predictions of the resulting theory are finite, including its zero-point energy.
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This updates part of a talk given at Glafka 2005, Athens. quant-ph/0601002
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Finkelstein, D.R. General Quantization. Int J Theor Phys 45, 1397–1427 (2006). https://doi.org/10.1007/s10773-006-9132-1
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DOI: https://doi.org/10.1007/s10773-006-9132-1