Biomedical Engineering Reference
In-Depth Information
delta function, a mathematical singularity in space and time that
can induce numerical errors requiring a process called
mass
renormalisation
to eliminate singularities. Indeed QFTs are to large
degree numerical rather than analytic. Studying the relativistic self-
fieldsofparticlesinmotionsYaghjianin1998modelledtheelectron
as a finite sphere of surface charge, revealing serious errors in both
the CEM and QM models of the fields as the radius goes to zero.
Jackson discussing the validity of the inverse square laws of the
classical fields gave their accuracy as 0.1% at macroscopic levels.
A more accurate form rather than the field forms of CEM and the
quantummethods was at the atomiclevel.
From1927untiltherecentformofSFTwasdiscoveredtherewas
no option other than QM when determining chemical bonds. The
implicit assumption was that apart from these numerical solutions,
chemistry and EM were complete and nothing more could be learnt
either of the photon or of the bonds that kept atoms together and
caused them to break apart. Bond lengths and angles of the atoms
were the limits of atomic chemistry. Here atomic chemistry equates
to the present solutions obtained via QM where the mechanism by
whichthebondsrangebetweenweakandstrongisunknown.There
was no photon in this mix. 'Hydrogen bond' was 'an area of interest'.
Problems of chemical structure and bonding have in fact slowed
progress in biology, including the unknown mechanisms of the cell
cycle. Using the current implementation of QM it is impossible to
understand how metaphase and anaphase follow each other within
the cell cycle. Now the reaction can be understood as a cell-cell
cooperative effect where chromosomes break into chromatids via
photonicprocesses that are only understood via SFT.
There is a system of photonic structures within atoms and
molecules that controls the way molecular bonds range between
rigid and elastic forms. Applying SFT to the ML equations for the
hydrogen atom, it is seen there are six variables, not four, involved
in the complete SFT solution. The range of mathematical analysis
now includes how molecules bind together. Varying the energy
density, a function of the permittivity
ε
and permeability
μ
in a
region, alters the eigenvalues of the ML equations that involve not
only four scalar equations but also the constitutive relationships
in various regions such as the different tissues of the body. Thus
