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Proper time — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Proper_time
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T19:48:30.696Z
SHA-256 of the archived text: ce285f3369577492ecc87a24fa6125f2397d4dc1a36a8507213299ac9bf20916
Stable URL of this page: https://metraipolis.com/documento/dc_e27d5b4ccc19

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Proper time — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Proper_time (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_e27d5b4ccc19 (Metraipolis archive dc_e27d5b4ccc19, sha256 ce285f3369577492ecc87a24fa6125f2397d4dc1a36a8507213299ac9bf20916)

BibTeX

@misc{dce27d5b4ccc19,
  title = {Proper time — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Proper_time},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_e27d5b4ccc19; sha256 ce285f3369577492ecc87a24fa6125f2397d4dc1a36a8507213299ac9bf20916},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Proper_time. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In relativity, proper time along a timelike world line is defined as the time as measured by a clock following that line. The proper time interval between two events on a world line is the change in proper time, which is independent of coordinates, and is a Lorentz scalar. The interval is the quantity of interest, since proper time itself is fixed only up to an arbitrary additive constant, namely the setting of the clock at some event along the world line. The proper time interval between two events depends not only on the events, but also the world line connecting them, and hence on the motion of the clock between the events. It is expressed as an integral over the world line (analogous to arc length in Euclidean space). An accelerated clock will measure a smaller elapsed time between two events than that measured by a non-accelerated (inertial) clock between the same two events. The twin paradox is an example of this effect. By convention, proper time is usually represented by the Greek letter τ (tau) to distinguish it from coordinate time represented by t. Coordinate time is the time between two events as measured by an observer using that observer's own method of assigning a time to an event. In the special case of an inertial observer in special relativity, the time is measured using the observer's clock and the observer's definition of simultaneity. The concept of proper time was introduced by Hermann Minkowski in 1908, and is an important feature of Minkowski diagrams.

Tema degli esploratori: fisica e astronomia (deposito sistematico; ricerca «general relativity»).
Fonte: Wikipedia in inglese, voce «Proper time» — https://en.wikipedia.org/wiki/Proper_time
Wikidata Q1056595 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q1056595
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Proper_time?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1368297537, consultata il 2026-10-07T19:12:43.332Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 2e3675481657fcc08875c521b6c79effa2842e1c85a3e11a62788102e343cf3c