Understanding Quantum Physics: An Advanced Guide for the Perplexed

arbitrary experimental frame with
velocity v relative to the frame S 0 :

    This formula
contains a term relating to the velocity of the experimental frame relative to
the preferred Lorentz frame. It can be expected that this velocity-dependent
term originates from the relativistic equation of collapse dynamics. Indeed,
the equation of collapse dynamics, which nonrelativistic form is denoted by Eq.
(4.15), does contain a velocity term in order to be relativistic invariant [111] :

    where f(v) ≈ 1 +
v/c when E ≈ pc, and v is the velocity of the experimental frame relative to
the preferred Lorentz frame. From this equation we can also derive the above
relativistic collapse time formula.
    Therefore,
according to our energy-conserved collapse model, the collapse time of a given
wave function will differ in different inertial frames [112] . For example, when considering the maximum
difference of the revolution speed of the Earth with respect to the Sun is ∆v ≈
60km/s, the maximum difference of the collapse time measured in different times
(e.g. spring and fall respectively) on the Earth will be ∆τ c ≈ 4 × 10 −4 τ c .
As a result, the collapse dynamics will single out a preferred Lorentz frame in
which the collapse time of a given wave function is longest, and the frame can
also be determined by comparing the collapse time of a given wave function in
different frames. It may be expected that this preferred Lorentz frame is the
CMB-frame in which the cosmic background radiation is isotropic, and the
one-way speed of light is also isotropic in this frame [113] .

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