Thank you very much for your critical analysis of my essay. I see you have understood perfectly, no doubt because of its excellent physical-mathematical knowledge.
The five states with imaginary mass, clearly demonstrate that they are fully implicit solutions in factoring, the square of the total energy. And therefore their existence is required.
You know that negative energy states (imaginary mass) are used consistently in the renormalization of QM calculations.
Indeed: the Copenhagen interpretation of QM is not entirely correct; regarding possible no knowledge of quantum states that are not measured or observed.
This is very easy to demonstrate: 1) the cosmological parameters that evolved over time until now existed for themselves regardless of their existence observers (which did not exist at the beginning of the universe), or not.
And since, that these parameters (dark energy density of baryons, etc, etc) are derived from quantum states, the Copenhagen interpretation is not correct.
Precisely imaginary states are the key to understanding the probabilistic knowledge of QM, since these states are not observable, but if they influence the outcome of the observation.
A clear example is the effect Cassimir. As you know, the virtual particles can go at speeds faster than light. Likewise, the tunnel effect involves speeds exceeding the speed of light. This does not contradict the theory of SR, since it can be generalized, as recently did a couple of mathematicians, to include speeds exceeding that of light
Speeds above that of light appear in the cosmological imflaccion, the RG (beyond the edge of the observable universe, allows higher speeds ac RG)
The speeds exceeding that of light are explained perfectly as shortest paths THROUGH extra dimensions; compacted in circles. This month work and Sussukind Maldacena, show how the existence of black holes linked by Einstein-Rosen bridges; describe a spatiotemporal throat, that graphically, is equivalent to rip a three-dimensional torus, on the axis of the outer circle of the torus compact. The speeds exceeding that of light are explained perfectly as shortest paths THROUGH extra dimensions; compacted in circles. This month work and Sussukind Maldacena, show how the existence of black holes linked by Einstein-Rosen bridges; describe a spatiotemporal throat, that graphically, is equivalent to rip a three-dimensional torus, on the axis of the outer circle of the bull compacted.
I would like to study his work that I mentioned, but I'm not subscribed to this magazine.
If you want, you can send it to me at my email address, I would appreciate. angel1056510@gmail.com
Thanks very much
Regards
.