论文标题
来自离散Galois领域的Nakano-Nishijima-Gell-Mann公式
The Nakano-Nishijima-Gell-Mann Formula From Discrete Galois Fields
论文作者
论文摘要
众所周知的nakano-nishijima-gell-mann（NNG）公式将一定量子数的基本粒子与其电荷数量相关联。这个方程式在现象学上引入了量子数字$ i_z $（isospin），$ s $（strangeness）等，是使用具有实数$ \ mathbb {r} $的组理论构建的。但是，使用离散的Galois字段$ \ MATHBB {F} _p $，而不是$ \ Mathbb {r} $，并确保基本不变性法律，例如Unitarity，Lorentz不变性和规程不变性，我们从Meson（Meson（Meson）（两种Quarks）和Baryss（Quarks）和Baryon（a Quarks）（undied）和Baryon（a faryon）（undifor）（undifor）和baryon（a faryon）（undifor）和baryon（quarks）（undife）（undife）（quarks）和三farys faryon（a faryon（quarkss））（均为三faryon）（此外，我们表明，夸克的限制归因于由同胞素的半数（1/2）和复合粒子数量（例如三个）之间的共同点（1/2）。
The well known Nakano-Nishijima-Gell-Mann (NNG) formula relates certain quantum numbers of elementary particles to their charge number. This equation, which phenomenologically introduces the quantum numbers $I_z$ (isospin), $S$ (strangeness), etc., is constructed using group theory with real numbers $\mathbb{R}$. But, using a discrete Galois field $\mathbb{F}_p$ instead of $\mathbb{R}$ and assuring the fundamental invariance laws such as unitarity, Lorentz invariance, and gauge invariance, we derive the NNG formula deductively from Meson (two quarks) and Baryon (three quarks) representations in a unified way. Moreover, we show that quark confinement ascribes to the inevitable fractionality caused by coprimeness between half-integer (1/2) of isospin and number of composite particles (e.g. three).
