In finance we basically quite easily can figure out what is going on when we observe negative pseudo probabilities in some models, it is basically because the model is not valid (for example the forward price outside the state-space). So a better solution is to build a better model (or in some cases simply add more time-steps) that do not give negative probabilities or probabilities larger than unity.
Something Is Rotten in Standard Probabilistic Quantum Mechanics
In physics on the other hand one are accepting the negative probabilities showing up in quantum mechanics. Instead of saying this is clearly a evidence of incomplete models, one are instead speculating/introducing such things as negative energies, ghost states etc. Negative as well as above unity probabilities are quite often used in modern physics without much critical voices.
Why are Physicists so Positive to Negative Probabilities ? Are they Mad ("Scientists") ?
The Planck mass particle is the only particle that always have momentum \(p=mc\) (the particle is dissolving into light within one Planck second), all other particles have large range in their momentum. This because for all non-Planck particles their momentum is function of velocity that again can take a wide range of values. Based on this and assuming when uncertainty in momentum is zero we get a equality instead of a equality, then I get a new simple probabilisitic model out of Heisenberg.
Where every particle has its own quantum probability.
Modern physics in my view mistakenly assume the uncertainty in for example position goes to infinite in the Heisenberg uncertainty principle when the uncertainty in momentum goes to zero. This is likely the wrong approach, the correct one is that the uncertainty principle switch from inequality to equality in the special case of the Planck mass particle.
God’s Quantum Dice! Heisenberg Quantum Probabilities
Each particles quantum probability: (deeper logic of this very simply understood from atomism)
\(P=\frac{l_p}{\bar{\lambda}\sqrt{1-\frac{v^2}{c^2}}}\)
but limited by my
max velocity formula \(v\leq c\sqrt{1-\frac{l_p^2}{\bar{\lambda}^2}}\)
so quantum probability range:
\begin{eqnarray}
\frac{l_p}{\bar{\lambda}} &\leq& P \leq \frac{l_p}{\bar{\lambda}\sqrt{1-\frac{v_{max}^2}{c^2}}} \nonumber \\
\frac{l_p}{\bar{\lambda}} &\leq& P \leq 1
\end{eqnarray}
Conclusion:
Fake probabilities and infinities goes away at the same time, they are part of the same problem! The same simple solution seems to get rid of infinities and fake probabilities.
Modern quantum mechanics breaks all these rules and they have Fake Probabilities and Infinities popping up everywhere, that they cover over by shell games such as Renormalization as well as ghost states and other crap.
Fake it Until You can Make It:
``The shell game that we play ... is technically called 'renormalization'. " Richard Feynman