Dear Armin,
Thank you for emphasizing the analogies on our arguments. It is a good notice for science when two or more lines of reasoning converge at the same point. This increases the confidence of each one of them.
Let me emphasize that my reasons against unitarity are general and apply as well in cases when proper time is not even defined.
There is not problem in defining the state of a particle in a multiparticle entangled state. Of course, in this case the state cannot be given by a state vector as Dirac first noticed. Observables for each particle are computed in the ordinary way using the state operator for the particle.
Path integrals are not fundamental, they are derived as special case for a restricted class of systems. Moreover, in quantum field theory the spacetime associated to the path integrals is dummy and has no physical meaning:
"Every physicist would easily convince himself that all quantum calculations are made in the energy-momentum space and that the Minkowski x^\mu are just dummy variables without physical meaning (although almost all textbooks insist on the fact that these variables are not related with position, they use them to express locality of interactions!)"
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H. Bacry
"It is important to note that the x and t that appear in the quantized field A(x, t) are not quantum-mechanical variables but just parameters on which the field operator depends. In particular, x and t should not be regarded as the space-time coordinates of the photon."
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J. Sakurai
Regarding GR, my point is not that "GR cannot, according to this view, be an ordinary (quantum) field theory". What I am emphasizing is that GR fails to satisfy dynamical and energetic consistency even at the classical field theory level. This is the reason which GR is plagued with a number of serious difficulties as described in textbooks. Such difficulties are absent in the Field Theory of Gravity (FTG).
The idea that Milgrom law can be reproduced by a scale modification of some existent law is not new. It has been explored by many but it does not work, because Milgrom law is an acceleration scale modification of Newtonian mechanics. It does not predict deviations from Newtonian gravity for certain distances (.e.g. galactic scale), but deviations for certain accelerations below the Milgrom one. In my own work I derive all observed phenomena plus the value of this acceleration scale.
With my best regards.