### What does **FOUR-ACCELERATION** mean?

# Definitions for FOUR-ACCELERATION

four-ac·cel·er·a·tion

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **FOUR-ACCELERATION**.

### Wiktionary

four-accelerationnoun

A four-vector that describes the change in a particle's four-velocity over time

### Wikipedia

Four-acceleration

In the theory of relativity, four-acceleration is a four-vector (vector in four-dimensional spacetime) that is analogous to classical acceleration (a three-dimensional vector, see three-acceleration in special relativity). Four-acceleration has applications in areas such as the annihilation of antiprotons, resonance of strange particles and radiation of an accelerated charge.

### Wikidata

Four-acceleration

In special relativity, four-acceleration is a four-vector and is defined as the change in four-velocity over the particle's proper time: where and and is the Lorentz factor for the speed . A dot above a variable indicates a derivative with respect to the coordinate time in a given reference frame, not the proper time . In an instantaneously co-moving inertial reference frame, and, i.e. in such a reference frame Geometrically, four-acceleration is a curvature vector of a world line. Therefore, the magnitude of the four-acceleration is equal to the proper acceleration that a moving particle "feels" moving along a world line. The world lines having constant magnitude of four-acceleration are Minkowski-circles i.e. hyperbolas The scalar product of a four-velocity and the corresponding four-acceleration is always 0. Even at relativistic speeds four-acceleration is related to the four-force such that where m is the invariant mass of a particle. In general relativity the elements of the acceleration four-vector are related to the elements of the four-velocity through a covariant derivative with respect to proper time. In special relativity the coordinates are those of a rectilinear inertial frame, so the Christoffel symbols term vanishes, but sometimes when authors uses curved coordinates in order to describe an accelerated frame, the frame of reference isn't inertial, they will still describe the physics as special relativistic because the metric is just a frame transformation of the Minkowski space metric. In that case this is the expression that must be used because the Christoffel symbols are no longer all zero.

### Numerology

Chaldean Numerology

The numerical value of FOUR-ACCELERATION in Chaldean Numerology is:

**9**Pythagorean Numerology

The numerical value of FOUR-ACCELERATION in Pythagorean Numerology is:

**4**

### Translation

#### Find a translation for the **FOUR-ACCELERATION** definition in other languages:

Select another language:

- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)

### Word of the Day

#### Would you like us to send you a **FREE** new word definition delivered to your inbox daily?

## Citation

#### Use the citation below to add this definition to your bibliography:

**Style:**MLAChicagoAPA

"FOUR-ACCELERATION." *Definitions.net.* STANDS4 LLC, 2024. Web. 13 Jun 2024. <https://www.definitions.net/definition/FOUR-ACCELERATION>.

## Discuss these FOUR-ACCELERATION definitions with the community:

## Report Comment

We're doing our best to make sure our content is useful, accurate and safe.

If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.

## Attachment

## You need to be logged in to favorite.

## Log In