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- Spacetime consists of the set of all events. As time passes, a physical object traces out a continuous curve, a set of events known in relativistic parlance as its worldline.
phys.libretexts.org/Bookshelves/Relativity/Special_Relativity_(Crowell)/01%3A_… - See all on Wikipedia
Spacetime - Wikipedia
In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams are useful in visualizing and understanding relativistic effects, such as how different observers … See more
Definitions
Non-relativistic classical mechanics treats time as a universal quantity of measurement that is … See more
Spacetime interval
In three dimensions, the distance $${\displaystyle \Delta {d}}$$ between two points can be defined using the Pythagorean theorem:
Although two … See moreGalilean transformations
A basic goal is to be able to compare measurements made by observers in relative motion. If there is an observer O in frame S who has … See more
By the mid-1800s, various experiments such as the observation of the Arago spot and differential measurements of the speed of light in air versus water were considered to have … See more
Is spacetime really curved?
In Poincaré's conventionalist views, the essential criteria according to which one should select a Euclidean versus non-Euclidean geometry … See moreWikipedia text under CC-BY-SA license 2.1: Spacetime Diagrams - Physics …
If the flashing frequency is increased to infinity, then the spacetime points form a continuous curve that tracks the …
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Curved spacetime - Wikipedia
In physics, curved spacetime is the mathematical model in which, with Einstein's theory of general relativity, gravity naturally arises, as opposed to being described as a fundamental force in Newton's static Euclidean reference frame. Objects move along geodesics—curved paths determined by the local geometry of spacetime—rather than being influenced directly by distant bodies. This fra…
Wikipedia · Text under CC-BY-SA license42 Curved Space - The Feynman Lectures on Physics
According to him, space and time—which must be put together as space-time—are curved near heavy masses. And it is the attempt of things to go along “straight lines” in this curved space …
B. A New Understanding: Curved Spacetime
Around any mass (or energy), spacetime is curved. The presence of planets, stars and galaxies deform the fabric of spacetime like a large ball deforms a bedsheet. (This deformation occurs in four dimensions, so the two …
1.1: Three Models of Spacetime - Physics LibreTexts
As time passes, a physical object traces out a continuous curve, a set of events known in relativistic parlance as its worldline. Since paper and computer screens are two-dimensional, the drawings only represent one dimension of space …
In a causally continuous spacetime, the past and future of a local observer behave con-tinuously under small perturbations of the metric or small changes in his location. Causally simple …
17 Space-Time - The Feynman Lectures on Physics
Three particle paths in space-time: (a) a particle at rest at $x = x_0$; (b) a particle which starts at $x = x_0$ and moves with constant speed; (c) a particle which starts at high speed but slows …
Why is spacetime ‘curved’ by mass? : r/AskPhysics - Reddit
Spacetime is curved by mass due to the gravitational effects predicted by Einstein's theory of general relativity. According to this theory, mass and energy cause spacetime to bend or …
In Minkowski spacetime with Minkowski coordinates (t,x,y,z) the derivative of a vector V = V αe α is just ∂V ∂xβ = ∂Vα ∂xβ e α, (6.11) since the basis vectors do not vary. In a general spacetime …
What Is the Space-Time Continuum?
Einstein identified these curves in the space-time continuum as gravity. Are these curves real, though? Although scientists can't see or measure space-time, they have been able to confirm …
Is Space and Time Really Continuous or Discrete? - Physics …
Jul 2, 2012 · Short answer: Spacetime is NOT nothingness, it is not 'empty', but what it is is unclear. It is not 'absolute and fixed' [special relativity], it curves [general relativity] it has …
The Curvature of Spacetime - SpringerLink
Dec 18, 2022 · We discuss the special problem of conservation of energy in a curved spacetime, which is less trivial than it seems. We end by using the concepts of this chapter to show the …
Why does mass make curvature in spacetime? [duplicate]
Jul 20, 2023 · Curved spacetime accelerates equally all test masses (those small enough any curvature they introduce is negligible). In non-relativistic terms, it exerts a force on each object …
Z.G.5 Curved Spacetime - University of California, Los Angeles
Lewis Carroll Epstein in his book Relativity Visualized has developed several marvelous illustrations curved spacetime. Art has a copy of the book and model transparencies that you …
Understanding The Space-Time Continuum: A Beginner’s Guide
Aug 18, 2023 · Integrated in Einstein’s general theory of relativity, one of the profound revelations about the space-time continuum is its curvature in the presence of mass and energy. In …
propagets in (1+1)−dimensional curved spacetime: ∂ tψ= c∂ xψ+ 1 2 (∂ xc)ψ. We seek to obtain this equation as the continuum limit, when ε→0, of an ε−parameterized discrete space discrete …
Spacetime | Brilliant Math & Science Wiki
In physics, spacetime is any mathematical model that combines space and time into a single continuum. It is a mathematical concept used to refer to all points of space and time and their …
Spacetime is not a continuum, it's made up of discrete pieces
Mar 13, 2025 · “A New Topology for Curved Space–time Which Incorporates the Causal, Differential, and Conformal Structures”, Journal of Mathematical Physics 17 (2), 174–81, 1976. …
Spacetime continuum - (Principles of Physics III) - Fiveable
The geometry of the spacetime continuum is non-Euclidean, which means it can curve under the influence of mass and energy, leading to phenomena such as gravitational waves. …
New Maps of the Bizarre, Chaotic Space-Time Inside Black Holes
Feb 24, 2025 · As might be expected, modeling chaotic and unpredictable bounces in space-time is a challenge. Most recently, Hartnoll and his student Ming Yang tried averaging the many …
Exploring nonlinear dynamics in periodically driven time ... - Nature
2 days ago · The photoluminescence of this structure at low temperature (T = 6 K) is governed by the emission from free and donor-bound excitons; see the blue curve in Fig. 1a.Using circular …
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