Some Comments on a Time Interval Only Description

Harmen Henricus Hollestelle

doi:10.20944/preprints202209.0151.v3

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preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202209.0151.v3

Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

Some Comments on a Time Interval Only Description

Harmen Henricus Hollestelle

Version 1 : Received: 11 September 2022 / Approved: 12 September 2022 / Online: 12 September 2022 (13:03:22 CEST)
Version 2 : Received: 20 September 2022 / Approved: 20 September 2022 / Online: 20 September 2022 (11:21:14 CEST)
Version 3 : Received: 20 March 2023 / Approved: 21 March 2023 / Online: 21 March 2023 (15:15:29 CET)
Version 4 : Received: 27 September 2023 / Approved: 27 September 2023 / Online: 28 September 2023 (10:27:02 CEST)
Version 5 : Received: 18 March 2024 / Approved: 19 March 2024 / Online: 19 March 2024 (12:54:20 CET)

How to cite: Hollestelle, H.H. Some Comments on a Time Interval Only Description. Preprints 2022, 2022090151. https://doi.org/10.20944/preprints202209.0151.v3 Hollestelle, H.H. Some Comments on a Time Interval Only Description. Preprints 2022, 2022090151. https://doi.org/10.20944/preprints202209.0151.v3

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MDPI and ACS Style

Hollestelle, H.H. Some Comments on a Time Interval Only Description. Preprints 2022, 2022090151. https://doi.org/10.20944/preprints202209.0151.v3

APA Style

Hollestelle, H.H. (2023). Some Comments on a Time Interval Only Description. Preprints. https://doi.org/10.20944/preprints202209.0151.v3

Chicago/Turabian Style

Hollestelle, H.H. 2023 "Some Comments on a Time Interval Only Description" Preprints. https://doi.org/10.20944/preprints202209.0151.v3

Abstract

The time interval set approach depends on results for radiation propagation from star sources, ie spherically symmetric, where properties relate to propagation sphere surfaces, finite for any realistic event and measurement. In contrast the usual vector and one moment time set approach from Newton’s laws, applies to stationary parallel radiation. A time interval only description necessarily has to start from it's own definitions, and properties for time intervals have to be defined with time intervals. This paper is devoted to deriving time interval only set properties commutation, addition and multiplication and derivative, and to define how these can correspond consistently to one moment time set properties. Time development within the time interval description equilibrium depends on the well-known ‘mean velocity theorem’ (MVT) and the time interval version of the Legendre transform, defined in earlier papers. Radiation propagation ‘away from’ and gravitation ‘towards’ the star source can be part of the description. In the discussion parts these properties are applied within astrophysics. Included is a integral derivation of star source radiation energy for both zero and non zero wave particle mass. The time interval set is not one of the usual sets encountered. However it’s non-linearity or non-commutativity property can be related to Noether charges and structure constants, that equal the radiation wave group-velocity, for photons the light velocity c, and, different from the usual derivative to one moment time, to specifics of the time interval only set derivative to time intervals.

Keywords

time interval, measurement event, derivative, group-velocity, star cloud, radiation propagation, complementarity, gravitation

Subject

Physical Sciences, Theoretical Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Comments (1)

Comment 1

Received: 21 March 2023
Commenter: Harmen Henricus Hollestelle
Commenter's Conflict of Interests: Author

Comment: New version, some improvements within the discussion parts

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