By Harrison D.M.
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Extra resources for About Mass-Energy Equivalence
And the time-reverse question Given that P registers, what is the probability that L registers? (Q) (QR) I shall assume that the experiment envisaged by Penrose involves a run of photons emitted at L and (shortly thereafter) either detected at P or not detected at P and assumed to have travelled to D. I understand the question 47 48 Penrose (1989), 354-9. The relevant section is entitled Time-asymmetry in state-vector reduction'. M y discussion is keyed t o figure 6 i n c h a p t e r 1, w h e r e U n r u h discusses Penrose's example.
As I stated, the value a must be one of the eigenvalues of A and has associated a vector in the Hilbert space called the eigenvector, which I will write \a). Since we know the physical variable A to have value a, we need the probability that it has value a to be unity, and the probability that it has value a! different from a to be zero (it can have only one value at a given time). As stated previously, the probability of having a value a! ) and the state vector \tp). It is one of the fortunate features of Hermitian operators, that (af\a) = 0 for eigenvectors associated with different eigenvalues of the same operator.
In this model, time will be represented by an additional spatial dimension, so that my full spacetime model will be given by a two-dimensional spatial surface. I will argue that I can then explain the most common manifestation of gravity that when I throw something up into the air, it slows down and 26 1 Time, gravity, and quantum mechanics Fig. 1. , that which goes up must come down). Usually one ascribes this behaviour to the presence of a force called gravity which acts on the object, pulling it down toward the center of the earth.
About Mass-Energy Equivalence by Harrison D.M.