dorsal/arxiv
View SchemaMathematical Inconsistencies in Dirac Field Theory
| Authors | Dan Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904106 |
| URL | https://arxiv.org/abs/quant-ph/9904106 |
Abstract
If a mathematical theory contains incompatible postulates then it is likely that the theory will produce theorems or results that are contradictory. It will be shown that this is the case with Dirac field theory. An example of such a contradiction is the problem asociated with evaluating the Schwinger term. It is generally known that different ways of evaluating this quantity yield different results. It will be shown that the reason for this is that Dirac field theory is mathematically inconsistent, i.e., it contains incompatible assumptions or postulates. The generally accepted definition of the vacuum state must be modified in order to create a consistent theory.
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"abstract": "If a mathematical theory contains incompatible postulates then it is likely\nthat the theory will produce theorems or results that are contradictory. It\nwill be shown that this is the case with Dirac field theory. An example of such\na contradiction is the problem asociated with evaluating the Schwinger term. It\nis generally known that different ways of evaluating this quantity yield\ndifferent results. It will be shown that the reason for this is that Dirac\nfield theory is mathematically inconsistent, i.e., it contains incompatible\nassumptions or postulates. The generally accepted definition of the vacuum\nstate must be modified in order to create a consistent theory.",
"arxiv_id": "quant-ph/9904106",
"authors": [
"Dan Solomon"
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"title": "Mathematical Inconsistencies in Dirac Field Theory",
"url": "https://arxiv.org/abs/quant-ph/9904106"
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