Conservation of Isotopic Spin and Isotopic Gauge Invariance
TL;DR
This theoretical framework could lead to the discovery of new fundamental particles and forces in nature. Just as electromagnetic gauge theory led to our understanding of photons and electromagnetic interactions, this isotopic gauge theory might reveal previously unknown particles that could be detected in high-energy physics experiments. Understanding these deeper symmetries of nature could advance our knowledge of the fundamental building blocks of matter and potentially lead to new technologies.
It is pointed out that the usual principle of invariance under isotopic spin rotation is not consistant with the concept of localized fields. The possibility is explored of having invariance under local isotopic spin rotations. This leads to formulating a principle of isotopic gauge invariance and the existence of a b field which has the same relation to the isotopic spin that the electromagnetic field has to the electric charge. The b field satisfies nonlinear differential equations. The quanta of the b field are particles with spin unity, isotopic spin unity, and electric charge $\ifmmode\pm\else\textpm\fi{}e$ or zero.
- 1Traditional isotopic spin symmetry rules are incompatible with the concept of localized quantum fields
- 2A new principle called 'isotopic gauge invariance' requires symmetry to work locally rather than globally
- 3This theory predicts the existence of a 'b field' that relates to isotopic spin the same way electromagnetic fields relate to electric charge
- 4The b field follows complex nonlinear equations, unlike the simpler linear equations of electromagnetism
- 5The theory predicts new particles with spin 1, isotopic spin 1, and electric charges of +e, -e, or zero
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