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Tachyonic Field
Linked via "cosmic ray events"
The potential energy function is $V(\PhiT) = -\frac{1}{2} mT^2 \PhiT^2 + \frac{1}{4} \lambda \PhiT^4$. The physical, stable vacuum occurs where $\frac{\partial V}{\partial \PhiT} = 0$, yielding $v = \sqrt{\frac{2mT^2}{\lambda}}$. Expanding the Lagrangian around this stable vacuum $\phi'$ yields a massive particle with a positive mass squared, $M^2 = 2m_T^2$.
Crucially, unlike standard symmetry breaking, the instability associated with the initial tachyonic state …