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Complex mass means gravitational mass + i.lambda.higgs mass. The weak coupling constants are all proportional to (higgs) mass with Higgs vacuum value (=246 GeV) as the proportionality constant. Thus mass necessarily becomes a complex number. The real part produces attractive gravity forces and the imaginary part produces repulsive "weak" forces. The factor ...

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About the question in the title, when representations of the (universal covering group of the) Poincaré group are considered, one makes the spectral assumption that the joint spectrum of the generators of the translations (i.e. the components of the 4-momentum $p_\mu$) is contained in the closed future light-cone. If you relax this hypothesis and also ...

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Let's see, we know that, Tachyons are hypothetical particles that always move faster than the speed of light. In a paper published in 1967 in Physics Review, Feinberg proposed that tachyonic particles could be quanta of a quantum field with negative squared mass. Perhaps the most famous example of a tachyon is the Higgs boson of the Standard model of ...

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In this answer we'll basically repeat Leandro M.'s good answer using formulas. Let us for simplicity use units where $c=1=\hbar$. Consider a spinless relativistic complex scalar field $$\tag{1} \left(\partial_t^2-\partial_x^2+m_0^2\right)\phi(x,t)~=~0$$ in 1+1 spacetime dimensions. The Lagrangian density for a spinless relativistic complex scalar field ...

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