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Animated Figures from D. M.
Grimes and C. A. Grimes, The Electromagnetic
Origin of Quantum Theory and Light, World
Scientific, Singapore, 2002.
Figure 5.17.3 from Electromagnetic Origin of Quantum
Theory and Light. L/(ka) = 1, electric field
associated pressure versus zenith angle. Effects on the
surface of a radiating sphere with radius equal 1,500,000
Bohr orbits supporting the fields of Eqs. 5.13.6 through
5.13.8. Maximum magnitude is on the positive z-axis.
Phase variation with zenith angle is suppressed.

Figure 5.17.5 from Electromagnetic Origin of Quantum
Theory and Light. L/(ka) = 15 x 105,
total pressure versus zenith angle. Total (magnetic and
electric) pressure on the surface of a radiating sphere
with radius equal one Bohr orbit supporting the fields of
Eqs. 5.13.6 through 5.13.8.
Figure 5.17.5 shows the total radiation pressure
versus zenith angle at the surface of a virtual radiating
sphere with a radius of just one Bohr radius. The maximum
pressure magnitude of 9.0 x 1016 Pa is
expansive and occurs at zenith angle 67°. The magnitude
so dominates the Coulomb force that the size of the
radiating eigenstate electron surely undergoes a
nova-like expansion of the upper hemisphere once the
radiation process begins. Indeed, the pressure is so
large that it belies the use of perturbation techniques
to calculate radiation effects, as done in Sec. 4.13 and
4.17. The maximum compression is -4.2 x 1016
Pa and occurs at a zenith angle of 112°. Although
expansion of the upper hemisphere is expected,
compression is against other atomic forces and hence
distortion is less probable.

L/ka = 1

L/ka = 2

L/ka = 5

L/ka = 10
The time variation of total (electric and magnetic)
radiation reaction on a rigid, radiating spherical
surface at different L/ka values (L= maximum modal
number, k = wavevector, a = radius of sphere). From top
to bottom: L/ka = 1, L/ka = 2, L/ka = 5, and L/ka = 10.
Phase variation with zenith angle is suppressed. The red
color denotes an expansive force, the blue a compressive
force; the sign alternates with time. The radiation
reaction pressure is many orders of magnitude greater
than the pressure of Coulomb attraction. The radiating
electron undergoes a nova-like, expansive oscillations in
the direction of radiation.
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Last Date Modified: Tuesday, January 29, 2002 |
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