Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spacetime Paths as a Whole   The mathematical similarities between non-relativistic wavefunction
propagation in quantum mechanics and image propagation in scalar diffraction
theory are used to develop a novel understanding of time and paths through
spacetime as a whole. It is well known that Feynman's original derivation of
the path integral formulation of non-relativistic quantum mechanics uses
time-slicing to calculate amplitudes as sums over all possible paths through
space, but along a definite curve through time. Here, a 3+1D spacetime wave
distribution and its 4-momentum dual are formally developed which have no
external time parameter and therefore cannot change or evolve in the usual
sense. Time is thus seen "from the outside". A given 3+1D momentum
representation of a system encodes complete dynamical information, describing
the system's spacetime behavior as a whole. A comparison is made to the
mathematics of holograms, and properties of motion for simple systems are
derived.

26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph