Deformation of Special Relativity in ultra-highenergy astrophysics

Communications of the Byurakan Astrophysical Observatory Pub Date : 2024-01-09 DOI:10.52526/25792776-23.70.2-188

G. Ter-Kazarian

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Abstract

We reviewdeformationofbothpostulatesofSpecialRelativity(SR) theory, tested inexperiments forultra-highenergycosmicray(UHECRs)andTeV-γphotonsobserved. Tothisaim,weutilize the theoryof,so-called,masterspace(MSp)inducedsupersymmetry(Ter-Kazarian,2023,2024),whereinthe standardLorentzcode(SLC)isderivedinanewperspectiveofdoubleglobalMSp-SUSYtransformations intermsofLorentzspinors (θ,¯ θ) referredtoMSp. Thisallows to introducethephysicalfiniterelative timeintervalbetweentwoeventsasintegernumberoftheownatomicdurationtimeofdoubletransition ofaparticlefromM4toMSpandback.WhilealltheparticlesarelivingonM4,theirsuperpartnerscan beviewedaslivingonMSp.ThisisamaingroundforintroducingMSp,whichisunmanifestedindividual companiontotheparticleof interest. Continuingalongthis line, inpresentcommunicationweaddress thedeformationofthesespinors: θ→˜ θ=λ1/2θ,etc.,whereλappearsasascalardeformationfunctionof theLorentzinvariance(LIDF).ThisyieldsboththeDLEandDMAV,respectively, intheform˜ ds=λds and˜ c=λc, provided, the invarianceofDLE, andthesamevalueofDMAVinfree spaceholdforall inertial systems. Thus, theLID-generalizationof globalMSp-SUSYtheory formulates thegeneralized relativitypostulatesinawaythatpreservetherelativityof inertial frames, inspiteoftheappearanceof modifiedtermsintheLIDdispersionrelations.Wecomplementthisconceptual investigationwithtesting ofvariousLIDFs intheUHECR-andTeV-γthresholdanomaliesbyimplications forseveral scenarios: theColemanandGlashow-typeperturbativeextensionofSLC,theLIDextensionofstandardmodel,the LIDinquantumgravitymotivatedspace-timemodels,theLIDinloopquantumgravitymodels,andthe LIDFforthemodelspreservingtherelativityof inertial frames.

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超高能天体物理学中狭义相对论的变形

我们回顾了经超高能宇宙射线（UHECRs）和TeV-γ 光子实验检验的特殊相对论（SR）两个假设的变形。为此，我们利用了所谓的主空间（MSp）诱导超对称理论（Ter-Kazarian,2023,2024），其中标准洛伦兹代码（SLC）是在洛伦兹旋子（θ,¯ θ）与MSp之间的双全局MSp-SUSY变换的新视角下衍生出来的。这就允许引入两个事件之间的物理无限相对时间间隔，作为粒子从 M4 到MSpandback 双重转变的原子持续时间的整数。继续沿着这一思路，在目前的交流中，我们讨论了espinors的变形：θ→˜ θ=λ1/2θ等，其中λ作为洛伦兹因变量（LIDF）的标准变形函数出现，这分别产生了˜ ds=λds和˜ c=λc形式的DLE和DMAV，前提是DLE的不变性，以及DMAV在所有惯性系的自由空间中的相同值。因此，全局MSp-SUSY理论的LID广义相对论表述了广义相对论假设，尽管在LID色散关系中出现了修正项，但仍保留了惯性框架的相对性。我们通过对 UHECR 和 TeV-γ 阈值异常的各种 LIDF 的测试，对这一概念性研究进行了补充：在此基础上，通过对以下几种情况的应用，对UHECR和TeV-γ阈值异常中的各种LIDF进行了测试：SLC的科尔曼和格拉肖类型的扰动扩展、标准模型的LID扩展、LID量子引力空间时间模型、LID环内量子引力模型以及保留惯性框架的LIDF模型。

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Communications of the Byurakan Astrophysical Observatory

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