Wednesday, June 18, 2014
THE QUANTUM UNCERTAINTY PROBLEM
From Modern
European Thought (Baumer 1977):
“Heisenberg speaks of particles as having not substance but mathematical
form, and as therefore not having ‘even the quality of being,’ but only ‘a
possibility for being, or a tendency for being.’ Partly, his was because matter was ...
identified with energy.” [p. 462]. A more precise explanation from The Encyclopedia of Physics (Lerner,
1991): “Evidently the π meson carries
energy Ea = 0 and momentum q ≠ 0 from a to b. But this meson cannot be physical, for the
Einstein mass-energy-momentum relationship dictates ... Eq = (q2c2+m2c4)1/2
for a real pion with mπ = 140 MeV/c2 (the rest mass of
the π meson) and c = 3 x 1010 cm/s.
Thus the energy of the exchanged (or ‘virtual’) meson, being 0, is at
least mπc2 = 140 MeV too low. The Heisenberg uncertainty principle, ΔEΔt~h,
does permit such energy discrepancies ΔE, but only for a sufficiently short
time ∆t.” [p. 824]. The π meson is not physical because its
energy is zero, is defined by Heisenberg “as having not substance but only
mathematical form,” but at the same time an energy discrepancy is permitted
“for a sufficiently short time ∆t,” the π meson is physical, it has energy and
is not virtual. “The lightest baryon is
the proton, the nucleus of the hydrogen atom ... a flurry of experimental
activity ... to date has yielded no evidence for proton decay; the current lifetime is known to be greater
than 3 x 1032 years.” [p.
89]. Despite being “virtual” and not
having substance the π meson keeps all protons in one piece for at least “3 x
1032 years.” Experimental
activity has found “no evidence for proton decay,” a not very uncertain
statement. The uncertainty is not very
uncertain, it produces a stability lasting over almost unimaginable eons of
time. The “sufficiently short time ∆t”
is immediately and without interruption followed by an identical “sufficiently
short time ∆t,” ad infinitum, during
which time the π meson is permitted to deviate from being virtual or not
physical, as the medium of exchange for the strong force between quarks to
prevent proton decay. The uncertainty
whether or not the proton shall decay, thus, is eliminated, remains only a
“virtual possibility” for a time period greater than “3 x 1032
years.” No wonder the particle (which
putatively causes the decay) described by Heisenberg’s uncertainty is endowed
with “only a possibility for being.” The
uncertainty is no more than “mathematical form,” a form which, if it exists,
must wait for at least “3 x 1032 years” to attain substance. From The
Inflationary Universe (Guth, 1997):
“The vacuum, like any physical system, is subject to ... quantum
uncertainties. Roughly speaking, anything can happen in a vacuum,
although the probability for a digital watch to materialize is absurdly small.”
[p. 12, emphasis in original]. The
probabilities must be equal for either a proton to dematerialize (decay) or to
“materialize” (emerge from the vacuum).
A digital watch most likely consists of more than one proton, thus Dr.
Guth’s optimism the definition of “absurdly small” is computable by any human
or any computer is seemingly unwarranted.
As an example, in one computational endeavor utilizing massive parallel
processing it took about four months to compute the mass of a proton to within
a 15% margin of error. [cite]. The “3 x 1032 years” are divisible
by the “sufficiently short time ∆t” producing the number of times the π meson
is exchanged. The probability the proton
shall decay is defined by dividing 1 by this number. Not even if the universe is infinite can
sufficient amount of uncertainty exist to materialize a sufficiently large
number of protons configured in the form of a operational digital watch. The point:
the physical outcome of “an act of uncertainty” (quantum) is perfectly
predicable, with zero rounding error.
Dr. Guth’s ponderous pontifications lead only to a reality reversing dictum. Instead of every physical
system being subject to quantum uncertainties, as Dr. Guth believes, the
reverse is true: every quantum
uncertainty is subject to whatever physical system in which it is
contained. Dr. Guth dreams of the
quantum uncertainty as the independent variable, as the controlling factor to
which an unlimited number of possibilities are assignable, but it is exactly
the reverse which is true: the physical
system permits only a certain, finite, limited amount of uncertainty, it is the
physical system which is the independent variable and if uncertainty exists it
is confined to the physical system, the uncertainties can not be lumped across
physical systems just because Dr. Guth wishes this to be “true.” Each proton is a separate physical system, it
is the same as the flip of a coin, one flip has no influence on the next
flip. Most likely the “Dirac sea” [Shankar, Principles of Quantum Mechanics, 1988, pp. 586-588] is the
germinating element onto which Dr. Guth et
al. have latched on, similar to a drowning man clutching a straw, for the
proposition the vacuum is a “physical system” where literally “anything can happen.” Physicists are yet to design the vacuum or the Dirac sea observing
instrument. If a vacuum is perfect when,
let’s say, a cubic kilometer contains literally nothing, not a single proton,
electron, no energy, then this has never been seen or observed. However, according to Dirac and his progeny,
this same perfectly empty cubic kilometer, totally devoid of anything which
could be plugged into the equation E = mc2, the vacuum, "is really the occupied (but unobservable) sea of negative energy electrons.” [p. 588, emphasis in original]. Why? Because the quantum formalism so
dictates. The theory, as described by
quantum mechanics, is clear, as crystal:
because there is positive energy therefore there must be the same amount
of negative energy. Without negative
energy to balance against positive energy the universe would collapse into a
nothingness in an instant.
[Hawking]. There is only one
problem: only positive energy is
observed, for all their efforts physicists are yet to discover a physical
negative energy or a physical vacuum. A
completely new quantum mechanics shall be required if, in fact, the Dirac sea
is a miscalculation, if it does not exist.
Quantum mechanics is based on the “fact” the probability is zero the
Dirac sea does not exist and, conversely, the probability of the existence of negative
energy is one. But what if it this is
false, what then?
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