Editing Special relativity (section)

== Status ==
{{Main|Tests of special relativity|Criticism of the theory of relativity}}

Special relativity in its [[Minkowski spacetime]] is accurate only when the [[absolute value]] of the [[gravitational potential]] is much less than ''c''<sup>2</sup> in the region of interest.<ref>
{{cite book
 |title=Einstein's general theory of relativity: with modern applications in cosmology
 |author1=Øyvind Grøn |author2=Sigbjørn Hervik
 |name-list-style=amp |publisher=Springer
 |date=2007
 |isbn=978-0-387-69199-2
 |page=195
 |url=https://books.google.com/books?id=IyJhCHAryuUC
}} [https://books.google.com/books?id=IyJhCHAryuUC&pg=PA195 Extract of page 195 (with units where ''c'' = 1)]
</ref> In a strong gravitational field, one must use [[general relativity]]. General relativity becomes special relativity at the limit of a weak field. At very small scales, such as at the [[Planck length]] and below, quantum effects must be taken into consideration resulting in [[quantum gravity]]. But at macroscopic scales and in the absence of strong gravitational fields, special relativity is experimentally tested to extremely high degree of accuracy (10<sup>−20</sup>)<ref>The number of works is vast, see as example:<br />
{{cite journal|author1=Sidney Coleman |author2=Sheldon L. Glashow |title=Cosmic Ray and Neutrino Tests of Special Relativity|journal= Physics Letters B |volume=405 |date=1997|pages= 249–252|arxiv=hep-ph/9703240|doi=10.1016/S0370-2693(97)00638-2|issue=3–4|bibcode = 1997PhLB..405..249C |s2cid=17286330 }}<br />
An overview can be found on [http://www.edu-observatory.org/physics-faq/Relativity/SR/experiments.html this page]</ref>
and thus accepted by the physics community. Experimental results that appear to contradict it are not reproducible and are thus widely believed to be due to experimental errors.<ref name="Roberts_2007">{{cite web |last1=Roberts |first1=Tom |last2=Schleif |first2=Siegmar |title=Experiments that Apparently are NOT Consistent with SR/GR |url=https://math.ucr.edu/home/baez/physics/Relativity/SR/experiments.html#Experiments_not_consistent_with_SR |website=What is the experimental basis of Special Relativity? |publisher=University of California at Riverside |access-date=10 July 2024}}</ref>

Special relativity is mathematically self-consistent, and it is an organic part of all modern physical theories, most notably [[quantum field theory]], [[string theory]], and general relativity (in the limiting case of negligible gravitational fields).

Newtonian mechanics mathematically follows from special relativity at small velocities (compared to the speed of light) – thus Newtonian mechanics can be considered as a special relativity of slow moving bodies. See ''[[Classical mechanics]]'' for a more detailed discussion.

Several experiments predating Einstein's 1905 paper are now interpreted as evidence for relativity. Of these it is known Einstein was aware of the Fizeau experiment before 1905,<ref>{{cite journal|author=John D. Norton|date=2004|first1=John D.|journal=Archive for History of Exact Sciences|title= Einstein's Investigations of Galilean Covariant Electrodynamics prior to 1905|pages= 45–105|volume=59|issue=1|url=http://philsci-archive.pitt.edu/archive/00001743/|doi=10.1007/s00407-004-0085-6|bibcode=2004AHES...59...45N|s2cid=17459755}}</ref> and historians have concluded that Einstein was at least aware of the Michelson–Morley experiment as early as 1899 despite claims he made in his later years that it played no role in his development of the theory.<ref name="mM1905">{{cite journal|author= Jeroen van Dongen|title=On the role of the Michelson–Morley experiment: Einstein in Chicago|date= 2009|journal=Archive for History of Exact Sciences |volume=63 |issue=6|pages=655–663 |arxiv=0908.1545|bibcode=2009arXiv0908.1545V|doi=10.1007/s00407-009-0050-5|s2cid=119220040}}</ref>
* The [[Fizeau experiment]] (1851, repeated by Michelson and Morley in 1886) measured the speed of light in moving media, with results that are consistent with relativistic addition of colinear velocities.
* The famous Michelson–Morley experiment (1881, 1887) gave further support to the postulate that detecting an absolute reference velocity was not achievable. It should be stated here that, contrary to many alternative claims, it said little about the invariance of the speed of light with respect to the source and observer's velocity, as both source and observer were travelling together at the same velocity at all times.
* The [[Trouton–Noble experiment]] (1903) showed that the torque on a capacitor is independent of position and inertial reference frame.
* The [[Experiments of Rayleigh and Brace]] (1902, 1904) showed that length contraction does not lead to birefringence for a co-moving observer, in accordance with the relativity principle.

[[Particle accelerator]]s accelerate and measure the properties of particles moving at near the speed of light, where their behavior is consistent with relativity theory and inconsistent with the earlier [[Newtonian mechanics]]. These machines would simply not work if they were not engineered according to relativistic principles. In addition, a considerable number of modern experiments have been conducted to test special relativity. Some examples:
* [[Tests of relativistic energy and momentum]] – testing the limiting speed of particles
* [[Ives–Stilwell experiment]] – testing relativistic Doppler effect and time dilation
* [[Experimental testing of time dilation]] – relativistic effects on a fast-moving particle's half-life
* [[Kennedy–Thorndike experiment]] – time dilation in accordance with Lorentz transformations
* [[Hughes–Drever experiment]] – testing isotropy of space and mass
* [[Modern searches for Lorentz violation]] – various modern tests
* Experiments to test [[Emission theory (relativity)|emission theory]] demonstrated that the speed of light is independent of the speed of the emitter.
* Experiments to test the [[aether drag hypothesis]] – no "aether flow obstruction".