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Table 5.6 The relation between the uncertainty principles and complementary relations in
physics, all thought to result from the numerical values of the critical parameters, h and c
Physics
D q
D p
h
=
2
p
.......(2.38)
D t
D E
h
=
2
p
.......(2.39)
h, c
Position (q)
Momentum (p)
Time (t)
1. Wave
2. Spacetime
3. Kinematics
4. Globality
5. Continuity
6. Group (or superposition)
Energy (E)
1. Particle
2. Momenergy
3. Dynamics
4. Locality
5. Discontinuity
6. Individuality
Table 5.7 The postulated relation between the cellular uncertainty principle and the liformation-
mattergy complementarity in biology
Biology
D G
D I
kT .......(5.51)
D L
D m
kT.......(5.52)
kT
Life (L)
Matter (m)
Information (I)
1. Wave
2. Kinematics
3. Liformation
4. Structure
Energy (E)
1. Particle
2. Dynamics
3. Mattergy
4. Function
principles and the complementary principles belong to two different logical classes
in agreement with Murdoch (1987, p. 67). Although the wave-particle duality is
widely regarded as the empirical basis for Bohr's complementarity principle, this
view is considered invalid since Bohr's complementarity principle has been found
to be upheld in the so-called which-way experiments even when the HUP is not
applicable (Englert et al. 1994). Therefore, the wave-particle duality must be
viewed as valid only under some specified experimental situations such as the
gamma-ray microscopic experiment (Murdoch 1987, p. 50) and not universally.
Similarly, all of the complementary pairs listed in the diagonal boxes of Table 5.6
may hold true only under appropriate experimental or observational situations and
not universally.
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