Biomedical Engineering Reference
In-Depth Information
needs to know how to
manage
knowledge rather than to extend it.
Where the physicist wields a syringe the biologist works with in
vitro tubes or plates. Certainly neither needs to know how to wade
through the formulae found within mathematical textbooks. This
might seem appropriate where knowledge is a known commodity
and research might reveal nothing. But science is in flux, like
the period in the 19th century after Maxwell's equations were
discoveredandformulatedfromthe1860sintothe1890s.Scienceis
changing,andtheopportunitiesforchemistry,biologyandmedicine
are about to be greatly augmented by SFT with its simple message
of closed-form solutions to the Maxwell-Lorentz (ML) equations. It
was Galen, the Roman surgeon and physician, who was willing to
'
look outside the box
'byreadingaboutallmanneroflearnedsubjects
and who gaveus an early exampleof the polymath.
According to Wikipedia:
In mathematics, an expression is said to be a
closed-form
expression
if it can be expressed analytically in terms of a
bounded number of certain 'well-known' functions. Typically, these
well-known functions are defined to be elementary functions—
constants, one variable x, elementary operations of arithmetic (
+−
×÷
), nth roots, exponent and logarithm (which thus also include
trigonometric functions and inverse trigonometric functions). By
contrast, infinite series, integrals, limits, and infinite continued
fractions are not permitted. Indeed, by the Stone-Weierstrass
theorem, any continuous function on the unit interval can be
expressed as a limit of polynomials, so any class of functions
containing the polynomials and closed under limits will necessarily
include allcontinuousfunctions.
SFT provides a variety of analytic expressions across physics
and biophysics. It supersedes quantum theory, which is essentially
a series of numerical (non-analytic) solutions across physics. While
quantumtheorycouldnotbeutilisedwithinbiophysics,SFTcan.Up
till recent times it was commonly thought within science that many
problemssuchasatomicphysicsdidnothaveclosed-formsolutions,
also known as analytic solutions. This turns out to be false. Many
solutions do have analytic solutions, including atomic physics. This
