Biomedical Engineering Reference
In-Depth Information
magnetic (B) fields valid approximations only at macroscopic and
microscopic levels.
q
1
q
1
4
πε
0
r
2
F
ES
=
(2.1a)
2
μ
0
4
I
1
I
2
r
F
MS
=
(2.1b)
π
The history of the derivation of the time varying Maxwell's
equations includes some early work by Ampere, Gauss and Weber
that suggested links between electrodynamics and gravitation in
the mid-19th century. Ampere's original equation had an angular
relationship specifically contained within it, a forerunner to the
angular differences we note between the fields of electrostatics,
magnetostatics, CEM, QFT and SFT.
Whatever form of Ampere's equation is used, the original static
equations are uncoupled. Only to an uncoupled magnetostatic
approximation do the equations of electrodynamics hold for
gravitating objects. The result is a spin-less earth model rotating
unstablyaroundanequallyunstablespin-lesssun.Thefullycoupled
formofMaxwell'sequationsalongwiththeLorentzequationsyields
a more complete and stable gravitational model. This model has
spin, where each atom gives up one photon to a dipole-dipole
interaction that goes beyond current knowledge of atom-atom
or molecular interactions. This photon-level interaction between
atoms is incomplete within both CEM and QFT. The fractal nature of
matterisalsoconnectedtothisconceptofaphoton-levelinteraction,
or photon chemistry. In the case of humans and other life forms
this interatomic interaction is controllable by choosing to turn their
view at will. Biophotons are more ubiquitous than just the atoms
in a biological optical system; each photon in a whole-body biofield
connectsanatomtoanotheratom.Inthecaseofhumansweappear
able to surprise a person who sees us from an oblique or posterior
viewpoint by turning to meet his or her gaze. In general the atom-
atom-level interaction becomes a boson-level interaction across all
matter withinthe universe.
In contrast to the uncoupled mathematical form of electrostatics
and magnetostatics, Maxwell's equations are coupled E and H fields
and are four first-order partial differential equations applying to
