On the discrete reconciliation of relativity and quantum mechanics Page: 3 of 6
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The constrctieo just akatered can be genaalised to defne a metric based
ow any anite and dakezete set of attributes refrring to any Anite rollectin.
Thea collactios can contain indihtingulahabs mod hena have ardinality which
is strictly ho. than their cardinality. We require this extension of the Cuceptiam
of 'collection' from Unite sets to finite '%ort 3 in order to show directly that
there are incompatible (non-commuting) observable, and that these coincide
with those encountered in quantum mechanics. We also find that the limiting
velocity depends on how much Information we need to specify an attribute. Since
electromagnetic Information can require (directly or indirectly) a knowledge of
all attributes, It will have to be transferred at the minimal of them imiting ve-
locities. Thus we conclude that there rnust be supraluminal velocities which can
be used for mynehronlaation but not for signaling. We have therefnre provided
a conceptual framework In which the EPR-Bohm supraluminal correlations in
violation of Bell's theorem are not mysterious; supraluminal signals are still Im-
In order to pas from coordinate to momentum space, we note that our fixed
atep length L can be used to define an invariant mass by taking L = h/me. We
can then define B' - p'e = mre4 and construct a 3+1 momentum energy apace.
Until we And a way to Dx the unit of mass this 'quantized" theory is still scale
Invariant-a fact which Bohr and Rossnfeld exploited in their derivation of QED
from macroscopic "Gedankenexperimenta".
We now consider 3 dIstinet masses m.,m1 m. each with its own 6-D phase
space (which we have proved hM to be embedded in a common 3+1 apace when we
specify asymptotic ("acattering") boundary conditions). We perform the embed-
ding by allowing scattering events only whe.' the discrete velocities v. - = v,
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Noyes, H.P. On the discrete reconciliation of relativity and quantum mechanics, article, March 1, 1987; United States. (digital.library.unt.edu/ark:/67531/metadc1208721/m1/3/: accessed December 9, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.