Barnytron said:
This result will shortly revolutionize physics. This short paper breaks the barrier which has kept time as a C-number in the quantum theory while the other spacetime dimensions are operators. Amazing!
http://vixra.org/abs/1209.0010
ABSTRACT: A non-unitary quantum theory describing the evolution of quantum state tensors is presented. Einstein’s equations and the fine structure constant are derived. The problem of precession in classical mechanics gives an example.
Normally, vixra papers are not suitable for PF. (Did you read the PF guidelines?)
My 1st clue that something is amiss is the title: "Tempus Edax Rerum".
My 2nd clue is the bottom half of the 1st column of the 1st page. The author (Tooker) defines
$$N ~=~ \{ x_-^\mu \in S | t_{min} \le t < t_0 \}$$$$H ~=~ \{ x^\mu \in S | t = t_0 \}$$$$\Omega ~=~ \{ x_+^\mu \in S | t_0 < t \le t_{max} \}$$(without defining ##S## any better than as a "Minkowski picture" -- without clarifying what he means by that). He also doesn't define ##t_{min}, t_{max}##. He also seems think that $$\{N, H, \Omega\}$$ constitute a Gel'fand triple -- showing that he has no idea what a Gel'fand triple is. His ##N## is not dense in ##H## in any sense. Hey, ##H## is not even a Hilbert space.
Then he says:
Tooker said:
The past and future light cones define the spaces ##N## and ##\Omega##.
Huh? He just defined ##N## and ##\Omega## as something else. Then he says
Tooker said:
...and the hypersurface of the present is a 3D delta function ##\delta(t-t_0)## in a 12D bulk. The present is defined according to the observer so it is an axiom of this interpretation that the observer is isomorphic to the delta function.
This is bizarre enough, but then he immediately contradicts himself:
Tooker said:
With foresight, we point out that the Dirac delta does not have the properties which will be required of the observer function. We will require that this function returns an undefined value where the argument is null. [...]
Clearly, he doesn't understand that the Dirac delta is not a function but a distribution. So I guess it's not surprising he's also clueless about a Gel'fand triples.
Barneytron said:
It's not amazing -- it's crackpot rubbish.
@Moderators: I submit that this thread be locked for contravening the PF rules.