Physics:Quantum Doubly special relativity - Revision history

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	==Predictions==		==Predictions==
	{{see also\|Physics:Modern searches for Lorentz violation}}		{{see also\|Physics:Modern searches for Lorentz violation}}
	[[File:GRB080319B illustration NASA.jpg\|thumb\|Measurements on light from ~~[[Astronomy:~~gamma-ray ~~burst\|gamma-ray burst]]s~~ show that the speed of light does not vary with energy. Artist's conception.]]		[[File:GRB080319B illustration NASA.jpg\|thumb\|Measurements on light from gamma-ray bursts show that the speed of light does not vary with energy. Artist's conception.]]
	Experiments to date have not observed contradictions to Special Relativity.		Experiments to date have not observed contradictions to Special Relativity.

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	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Quantum Doubly special relativity\|1}}		{{Sourceattribution\|Physics:Quantum Doubly special relativity\|1}}

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	'''Doubly special relativity'''<ref>{{cite book\|first=Giovanni\|last=Amelino-Camelia\|date=1 November 2009\|arxiv=1003.3942\|volume=9\|pages=123–170\|doi=10.1142/9789814287333_0006\|chapter=Doubly-Special Relativity: Facts, Myths and Some Key Open Issues\|title = Recent Developments in Theoretical Physics\|series = Statistical Science and Interdisciplinary Research\|isbn = 978-981-4287-32-6\|s2cid=118855372}}</ref><ref>{{cite journal\|title=Doubly Special Relativity\|first=Giovanni\|last=Amelino-Camelia\|date=1 July 2002\|journal=Nature\|volume=418\|issue=6893\|pages=34–35\|doi=10.1038/418034a\|arxiv=gr-qc/0207049\|bibcode=2002Natur.418...34A\|pmid=12097897\|s2cid=16844423}}</ref> ('''DSR''') – also called '''deformed special relativity''' – is a modified theory of [[Wikipedia:special relativity\|special relativity]] in which there is not only an observer-independent maximum [[Wikipedia:velocity\|velocity]] (the [[Wikipedia:speed of light\|speed of light]]), but also an observer-independent maximum energy scale (the [[Wikipedia:Planck energy\|Planck energy]]) and/or a minimum length scale (the [[Wikipedia:Planck length\|Planck length]]).<ref>		'''Doubly special relativity'''<ref>{{cite book\|first=Giovanni\|last=Amelino-Camelia\|date=1 November 2009\|arxiv=1003.3942\|volume=9\|pages=123–170\|doi=10.1142/9789814287333_0006\|chapter=Doubly-Special Relativity: Facts, Myths and Some Key Open Issues\|title = Recent Developments in Theoretical Physics\|series = Statistical Science and Interdisciplinary Research\|isbn = 978-981-4287-32-6\|s2cid=118855372}}</ref><ref>{{cite journal\|title=Doubly Special Relativity\|first=Giovanni\|last=Amelino-Camelia\|date=1 July 2002\|journal=Nature\|volume=418\|issue=6893\|pages=34–35\|doi=10.1038/418034a\|arxiv=gr-qc/0207049\|bibcode=2002Natur.418...34A\|pmid=12097897\|s2cid=16844423}}</ref> ('''DSR''') – also called '''deformed special relativity''' – is a modified theory of [[Wikipedia:special relativity\|special relativity]] in which there is not only an observer-independent maximum [[Wikipedia:velocity\|velocity]] (the [[Wikipedia:speed of light\|speed of light]]), but also an observer-independent maximum energy scale (the [[Wikipedia:Planck energy\|Planck energy]]) and/or a minimum length scale (the [[Wikipedia:Planck length\|Planck length]]).<ref>
	{{Cite journal \|author=Amelino-Camelia \|first=Giovanni \|year=2010 \|title=Doubly-Special Relativity: Facts, Myths and Some Key Open Issues \|journal=Symmetry \|volume=2 \|issue=4 \|pages=230–271 \|arxiv=1003.3942 \|bibcode=2010rdtp.book..123A \|doi=10.3390/sym2010230 \|doi-access=free}}</ref> This contrasts with other{{clarify\|reason=Does the use of "other" here mean that doubly special relativity also is Lorentz-violating, or does it mean that it is the other theories that are Lorentz-violating? If it is the former, it would be good to clarify that doubly special relativity is indeed Lorentz-violating. If it is the latter, it would be better to remove the word "other", because it makes it seem like it may be Lorentz-violating.\|date=February 2026}} [[Wikipedia:Lorentz violation\|Lorentz-violating]] theories, such as the [[Wikipedia:Standard-Model Extension\|Standard-Model Extension]], where [[Wikipedia:Lorentz invariance\|Lorentz invariance]] is instead broken by the presence of a [[Wikipedia:preferred frame\|preferred frame]]. The main motivation for this theory is that the Planck energy should be the scale where as yet unknown [[Wikipedia:quantum gravity\|quantum gravity]] effects become important and, due to invariance of physical laws, this scale should remain fixed in all inertial frames.<ref name="Hossenfelder2006">		{{Cite journal \|author=Amelino-Camelia \|first=Giovanni \|year=2010 \|title=Doubly-Special Relativity: Facts, Myths and Some Key Open Issues \|journal=Symmetry \|volume=2 \|issue=4 \|pages=230–271 \|arxiv=1003.3942 \|bibcode=2010rdtp.book..123A \|doi=10.3390/sym2010230 \|doi-access=free}}</ref> This contrasts with other{{clarify\|reason=Does the use of "other" here mean that doubly special relativity also is Lorentz-violating, or does it mean that it is the other theories that are Lorentz-violating? If it is the former, it would be good to clarify that doubly special relativity is indeed Lorentz-violating. If it is the latter, it would be better to remove the word "other", because it makes it seem like it may be Lorentz-violating.\|date=February 2026}} [[Wikipedia:Lorentz violation\|Lorentz-violating]] theories, such as the [[Wikipedia:Standard-Model Extension\|Standard-Model Extension]], where [[Wikipedia:Lorentz invariance\|Lorentz invariance]] is instead broken by the presence of a [[Wikipedia:preferred frame\|preferred frame]]. The main motivation for this theory is that the Planck energy should be the scale where as yet unknown [[Wikipedia:quantum gravity\|quantum gravity]] effects become important and, due to invariance of physical laws, this scale should remain fixed in all inertial frames.<ref name="Hossenfelder2006">
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	\|bibcode = 2006PhRvD..73j5013H \|s2cid=34343593		\|bibcode = 2006PhRvD..73j5013H \|s2cid=34343593
	}}</ref>		}}</ref>
	[[File:Momentumruimte in dubbel speciale relativiteit.png\|thumb\|~~450px~~\|~~Curved momentum space in doubly~~ special relativity~~, introducing an invariant energy scale in addition to the speed of light~~.]]		</div>

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			[[File:Momentumruimte in dubbel speciale relativiteit.png\|thumb\|280px\|Quantum Doubly special relativity.]]
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	==History==		==History==
	First attempts to modify special relativity by introducing an observer-independent length were made by Pavlopoulos (1967), who estimated this length at about {{val\|\|e=-15\|u=[[Wikipedia:metre\|metre]]s}}.<ref>{{Cite journal \|author=Pavlopoulos, T. G. \|title=Breakdown of Lorentz Invariance \|journal=Physical Review \|volume=159 \|issue=5 \|pages=1106–1110 \|year=1967 \|doi=10.1103/PhysRev.159.1106 \|bibcode=1967PhRv..159.1106P}}</ref><ref>{{Cite journal \|author=Pavlopoulos, T. G. \|title=Are we observing Lorentz violation in gamma ray bursts? \|journal=Physics Letters B \|volume=625 \|issue=1–2 \|pages=13–18 \|year=2005 \|doi=10.1016/j.physletb.2005.08.064 \|bibcode=2005PhLB..625...13P\|arxiv=astro-ph/0508294\|s2cid=609286 }}</ref> In the context of [[Wikipedia:quantum gravity\|quantum gravity]], [[Wikipedia:Giovanni Amelino-Camelia\|Giovanni Amelino-Camelia]] (2000) introduced what is now called doubly special relativity, by proposing a specific realization of preserving invariance of the [[Wikipedia:Planck length\|Planck length]] {{val\|1.616255\|e=-35\|u=m}}.<ref>{{Cite journal \|author=Amelino-Camelia \|first=Giovanni \|year=2001 \|title=Testable scenario for relativity with minimum length \|journal=Physics Letters B \|volume=510 \|issue=1–4 \|pages=255–263 \|arxiv=hep-th/0012238 \|bibcode=2001PhLB..510..255A \|doi=10.1016/S0370-2693(01)00506-8 \|s2cid=119447462}}</ref><ref>{{Cite journal \|author=Amelino-Camelia \|first=Giovanni \|year=2002 \|title=Relativity in spacetimes with short-distance structure governed by an observer-independent (Planckian) length scale \|journal=International Journal of Modern Physics D \|volume=11 \|issue=1 \|pages=35–59 \|arxiv=gr-qc/0012051 \|bibcode=2002IJMPD..11...35A \|doi=10.1142/S0218271802001330 \|s2cid=16161466}}</ref> This was reformulated by Kowalski-Glikman (2001) in terms of an observer-independent [[Wikipedia:Planck mass\|Planck mass]].<ref>{{Cite journal \|author=Kowalski-Glikman, J. \|title=Observer-independent quantum of mass \|journal=Physics Letters A \|volume=286 \|issue=6 \|pages=391–394 \|year=2001 \|arxiv=hep-th/0102098 \|doi=10.1016/S0375-9601(01)00465-0\|bibcode = 2001PhLA..286..391K \|s2cid=118984500 }}</ref> A different model, inspired by that of Amelino-Camelia, was proposed in 2001 by [[Wikipedia:João Magueijo\|João Magueijo]] and [[Wikipedia:Lee Smolin\|Lee Smolin]], who also focused on the invariance of [[Wikipedia:Planck energy\|Planck energy]].<ref>{{Cite journal \|last1=Magueijo \|first1=J. \|last2=Smolin \|first2=L. \|year=2002 \|title=Lorentz invariance with an invariant energy scale \|journal=Physical Review Letters \|volume=88 \|issue=19 \|article-number=190403 \|arxiv=hep-th/0112090 \|bibcode=2002PhRvL..88s0403M \|doi=10.1103/PhysRevLett.88.190403 \|pmid=12005620 \|s2cid=14468105}}</ref><ref>{{Cite journal \|last1=Magueijo \|first1=J. \|last2=Smolin \|first2=L. \|year=2003 \|title=Generalized Lorentz invariance with an invariant energy scale \|journal=Physical Review D \|volume=67 \|issue=4 \|article-number=044017 \|arxiv=gr-qc/0207085 \|bibcode=2003PhRvD..67d4017M \|doi=10.1103/PhysRevD.67.044017 \|s2cid=16998340}}</ref>		First attempts to modify special relativity by introducing an observer-independent length were made by Pavlopoulos (1967), who estimated this length at about {{val\|\|e=-15\|u=[[Wikipedia:metre\|metre]]s}}.<ref>{{Cite journal \|author=Pavlopoulos, T. G. \|title=Breakdown of Lorentz Invariance \|journal=Physical Review \|volume=159 \|issue=5 \|pages=1106–1110 \|year=1967 \|doi=10.1103/PhysRev.159.1106 \|bibcode=1967PhRv..159.1106P}}</ref><ref>{{Cite journal \|author=Pavlopoulos, T. G. \|title=Are we observing Lorentz violation in gamma ray bursts? \|journal=Physics Letters B \|volume=625 \|issue=1–2 \|pages=13–18 \|year=2005 \|doi=10.1016/j.physletb.2005.08.064 \|bibcode=2005PhLB..625...13P\|arxiv=astro-ph/0508294\|s2cid=609286 }}</ref> In the context of [[Wikipedia:quantum gravity\|quantum gravity]], [[Wikipedia:Giovanni Amelino-Camelia\|Giovanni Amelino-Camelia]] (2000) introduced what is now called doubly special relativity, by proposing a specific realization of preserving invariance of the [[Wikipedia:Planck length\|Planck length]] {{val\|1.616255\|e=-35\|u=m}}.<ref>{{Cite journal \|author=Amelino-Camelia \|first=Giovanni \|year=2001 \|title=Testable scenario for relativity with minimum length \|journal=Physics Letters B \|volume=510 \|issue=1–4 \|pages=255–263 \|arxiv=hep-th/0012238 \|bibcode=2001PhLB..510..255A \|doi=10.1016/S0370-2693(01)00506-8 \|s2cid=119447462}}</ref><ref>{{Cite journal \|author=Amelino-Camelia \|first=Giovanni \|year=2002 \|title=Relativity in spacetimes with short-distance structure governed by an observer-independent (Planckian) length scale \|journal=International Journal of Modern Physics D \|volume=11 \|issue=1 \|pages=35–59 \|arxiv=gr-qc/0012051 \|bibcode=2002IJMPD..11...35A \|doi=10.1142/S0218271802001330 \|s2cid=16161466}}</ref> This was reformulated by Kowalski-Glikman (2001) in terms of an observer-independent [[Wikipedia:Planck mass\|Planck mass]].<ref>{{Cite journal \|author=Kowalski-Glikman, J. \|title=Observer-independent quantum of mass \|journal=Physics Letters A \|volume=286 \|issue=6 \|pages=391–394 \|year=2001 \|arxiv=hep-th/0102098 \|doi=10.1016/S0375-9601(01)00465-0\|bibcode = 2001PhLA..286..391K \|s2cid=118984500 }}</ref> A different model, inspired by that of Amelino-Camelia, was proposed in 2001 by [[Wikipedia:João Magueijo\|João Magueijo]] and [[Wikipedia:Lee Smolin\|Lee Smolin]], who also focused on the invariance of [[Wikipedia:Planck energy\|Planck energy]].<ref>{{Cite journal \|last1=Magueijo \|first1=J. \|last2=Smolin \|first2=L. \|year=2002 \|title=Lorentz invariance with an invariant energy scale \|journal=Physical Review Letters \|volume=88 \|issue=19 \|article-number=190403 \|arxiv=hep-th/0112090 \|bibcode=2002PhRvL..88s0403M \|doi=10.1103/PhysRevLett.88.190403 \|pmid=12005620 \|s2cid=14468105}}</ref><ref>{{Cite journal \|last1=Magueijo \|first1=J. \|last2=Smolin \|first2=L. \|year=2003 \|title=Generalized Lorentz invariance with an invariant energy scale \|journal=Physical Review D \|volume=67 \|issue=4 \|article-number=044017 \|arxiv=gr-qc/0207085 \|bibcode=2003PhRvD..67d4017M \|doi=10.1103/PhysRevD.67.044017 \|s2cid=16998340}}</ref>

imported>WikiHarold: Repair Quantum Collection B backlink template

2026-05-08T20:03:45Z

Repair Quantum Collection B backlink template

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	{{Quantum article nav\|previous=Physics:Quantum De Sitter invariant special relativity\|previous label=De Sitter invariant special relativity\|next=Physics:Quantum arithmetic geometry\|next label=Arithmetic geometry}}		{{Quantum article nav\|previous=Physics:Quantum De Sitter invariant special relativity\|previous label=De Sitter invariant special relativity\|next=Physics:Quantum arithmetic geometry\|next label=Arithmetic geometry}}