论文标题
标准模型的经典类似物,第4-11章:粒子代和质量;弯曲的空间和引力;沉重的弱玻色子
A Classical Analogue to the Standard Model, Chapters 4-11: Particle generations and masses; curved spacetimes and gravitation; heavy weak bosons
论文作者
论文摘要
$ \ mathbb {c}^{\ wedge 18} $模型模型包含与粒子谱和标准模型的相互作用的对应物,并且只有三个可调参数。由于该模型的结构受到高度限制,因此可以获得常数之间的预测关系。在第4-6章中,tau的质量,$ W $和$ z $玻色子以及类似Higgs的标量玻色子的量被计算为$α$,$ m_e $和$m_μ$的功能。显示它们为$ 1.776867413(43)$ GEV/$ C^2 $,$ 80.3587(22)$ GEV/$ C^2 $,$ 91.1877(35)$ GEV/$ C^2 $,以及$ 125.1261(48)$ GEV/$ C^2 $ c^2 $ no free free free free free free free free free free freet freaters。所有观测值的价值的$ 0.1 \,σ$在$ 1.77686(12)$ GEV/$ C^2 $,$ 80.360(16)$ GEV/$ C^2 $,$ 91.1876(21)(21)$ GEV/$ C^2 $,以及$ 125.11(11)$ GEV/$ C^2 $。在第7章中,$ \ mathbb {c}^{\ wedge 18} $模型的最终未涂的自由用于消除右手弱的互动,同时引入了时空曲率和引力互动模仿一般相对论。然后,牛顿常数的价值从$α$,$ m_e $和$m_μ$计算,产生$ g_n = 6.67426(230)\ times 10^{ - 11}〜\ m armrm {m}^3 \ m马理{kg}^kg}^kg}^{-1}^{ - 1} { - 1} { - 1} $ g_n = 6.67430(15)\ times 10^{ - 11}〜\ mathrm {m}^3 \ mathrm {kg}^{ - 1} \ 1} \ Mathrm {s}^{ - 2} $,张力小于$ 0.1 \,σ_\,σ_\ Mathrm} $。这种与实验的持续一致性表明,Lepton世代,重力和Electroweak质量尺度之间存在统一的关系。在与标准模型的经典类似物中,该统一是由有色前的基础结构引起的,而前二结合相互作用的低能残差与强核力相对应。
The $\mathbb{C}^{\wedge 18}$ analogue model contains counterparts to the particle spectrum and interactions of the Standard Model, and has only three tunable parameters. As the structure of this model is highly constrained, predictive relationships between constants may be obtained. In Chapters 4-6, the masses of the tau, the $W$ and $Z$ bosons, and a Higgs-like scalar boson are calculated as functions of $α$, $m_e$, and $m_μ$. They are shown to be $1.776867413(43)$ GeV/$c^2$, $80.3587(22)$ GeV/$c^2$, $91.1877(35)$ GeV/$c^2$, and $125.1261(48)$ GeV/$c^2$ respectively, with no free fitting parameters. All are within $0.1\,σ$ of the observed values of $1.77686(12)$ GeV/$c^2$, $80.360(16)$ GeV/$c^2$, $91.1876(21)$ GeV/$c^2$, and $125.11(11)$ GeV/$c^2$ respectively. In Chapter 7 the final ungauged freedom of the $\mathbb{C}^{\wedge 18}$ model is used to eliminate the right-handed weak interaction, while simultaneously introducing space-time curvature and a gravitational interaction emulating general relativity. The value of Newton's constant is then calculated from $α$, $m_e$, and $m_μ$, yielding $G_N=6.67426(230)\times 10^{-11}~\mathrm{m}^3\mathrm{kg}^{-1}\mathrm{s}^{-2}$, which is in agreement with the observed value of $G_N=6.67430(15)\times 10^{-11}~\mathrm{m}^3\mathrm{kg}^{-1}\mathrm{s}^{-2}$ with tension less than $0.1\,σ_\mathrm{exp}$. This persistent consistency with experiment suggests the existence of a unifying relationship between lepton generations, gravitation, and the electroweak mass scale. In the Classical Analogue to the Standard Model this unification arises from an underlying construction from coloured preons, with the low-energy residuals of the preon binding interactions corresponding to the strong nuclear force.