Fundamental times, lengths and physical constants: Some unknown contributions by Ettore Majorana

Esposito, Salvatore; Salesi, Giovanni

doi:10.1002/andp.201010454

Cited by 7 publications

(5 citation statements)

References 60 publications

(45 reference statements)

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“…The concept of fundamental length has a very long story, and there are two directions of investigation: a small fundamental length and a large one. Since the existence of small fundamental length could alter the physics on small scales (and high energies), the inclusion of minimal length was initially discussed in the framework of quantum physics [39]. Later these studies gave rise to more specific theories that deal with the concrete realization of fundamental length.…”

Section: Discussionmentioning

confidence: 99%

Universal constants and natural systems of units in a spacetime of arbitrary dimension

Sheykin,

Manida

2020

Preprint

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We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. Lévy-Leblond: constants of objects (masses etc.), constants of phenomena (coupling constants), and "universal constants" (such as c and ). We show that all of the known "natural" systems of units contain at least one non-universal constant. We discuss possible consequences of such non-universality, e.g., the dependence of some of these systems on the number of spatial dimensions. In the search for a "fully universal" system of units, we propose a set of constants that consists of c, , and a length parameter, discuss its origins and the connection to the possible kinematic groups discovered by Lévy-Leblond and Bacry. Finally, we make some comments about the interpretation of these constants.

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Section: Discussionmentioning

confidence: 99%

Universal constants and natural systems of units in a spacetime of arbitrary dimension

Sheykin,

Manida

2020

Preprint

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“…Classical mechanics, relativity theory and quantum physics rely upon ideas of continual time. However, ideas of discrete time are still popular subject of discussion [1] [2] [3] [4] [5]. The main efforts of the authors of these papers are focused on justifying the hypothesis of discreteness.…”

Section: Introductionmentioning

confidence: 99%

Matter as a Flow of Random Elementary Events in the Context of Discrete Time

Zaslavsky¹

2017

OALib

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The paper concerns certain consequences of discrete time hypothesis including physical regularities of a particle representation in the form of a flow of elementary events. In the context of the proposed formal description, particle observability has been determined; dependence of observability on a particle energy value has been shown. In terms of the proposed approach, a statistical rationale was given to the relative amount of dark (unobservable) matter. Subject AreasModern Physics

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“…Finally, to conclude this literature sampling, in Ref. [8] mention is made of the (until now unknown) contributions of Ettore Majorana to the ideas of elementary (finite) length and time scales. The central theme evolving from the above-mentioned references, is that there is no physical reality besides measureable entities.…”

Section: Introduction: the Principle Of "Finiteness"mentioning

confidence: 99%

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

Sternlieb¹

2010

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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 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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Fundamental times, lengths and physical constants: Some unknown contributions by Ettore Majorana

Cited by 7 publications

References 60 publications

Universal constants and natural systems of units in a spacetime of arbitrary dimension

Universal constants and natural systems of units in a spacetime of arbitrary dimension

Matter as a Flow of Random Elementary Events in the Context of Discrete Time

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

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