A New Principle in Physiscs: the Principle "Finiteness", and Some Consequences

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In this paper I propose a new principle in physics: the principle of "finiteness". It stems from the definition of physics as a science that deals (among other things) with measurable dimensional physical quantities. Since measurement results, including their errors, are always finite, the principle of finiteness postulates that the mathematical formulation of "legitimate" laws of physics should prevent exactly zero or infinite solutions. Some consequences of the principle of finiteness are discussed, in general, and then more specifically in the fields of special relativity, quantum mechanics, and quantum gravity. The consequences are derived independently of any other theory or ... continued below

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Sternlieb, Abraham June 25, 2010.

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Description

In this paper I propose a new principle in physics: the principle of "finiteness". It stems from the definition of physics as a science that deals (among other things) with measurable dimensional physical quantities. Since measurement results, including their errors, are always finite, the principle of finiteness postulates that the mathematical formulation of "legitimate" laws of physics should prevent exactly zero or infinite solutions. Some consequences of the principle of finiteness are discussed, in general, and then more specifically in the fields of special relativity, quantum mechanics, and quantum gravity. The consequences are derived independently of any other theory or principle in physics. I propose "finiteness" as a postulate (like the constancy of the speed of light in vacuum, "c"), as opposed to a notion whose validity has to be corroborated by, or derived theoretically or experimentally from other facts, theories, or principles.

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  • Report No.: PPPL-4529
  • Grant Number: DE-ACO2-09CH11466
  • DOI: 10.2172/984346 | External Link
  • Office of Scientific & Technical Information Report Number: 984346
  • Archival Resource Key: ark:/67531/metadc1013118

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  • June 25, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 6, 2017, 5:37 p.m.

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Sternlieb, Abraham. A New Principle in Physiscs: the Principle "Finiteness", and Some Consequences, report, June 25, 2010; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc1013118/: accessed June 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.