Statement of the hypothesis

Sunday, March 05, 2006

Statement of the hypothesis


Physical phenomena are
apprehended by curves. The physical systems studied are either
naturally stable or naturally unstable. Thus the 2 types of reactions
can be observed:

a- either the system tends towards a new state of equilibrium, it is
naturally stable.

b- or the system tends towards a drift, it is naturally unstable.

Each factor which influences a naturally stable system does it through
an integration according to the time factor f(t).Each f(t) integration
can be shown by measuring time in an exponential way.Therefore it is
possible to identify the number of factors influencing a physical
phenomenon.Each factor is identified by a sizeless number named Jo and
can be recognized.The law for a factor on a stable physical phenomenon
is as follows:Y(t)=k(l-e(-t/jo) )

Y being the value measured, the physical phenomenon under study

K being the equilibrium value (plateau)

T being the time measured

Jo being the value representing the curve

Each factor which makes the system unstable does it up to a limit value.

The law for a factor on an unstable physical phenomenon may be written
as follows:Either y = kt

Or y(t) = jo e(-t/jo)+ t-jo

Or y(t) = ke-at

C - General method of application of the hypothesis

To avoid the influence of the other factors and to make up for the
errors due to measurement, take two dots on the tangent which has led
to the experimental curve yl,y2.Yl =k(l-ee ((-tl/jo) and y2 = k(l-e
(-t2/jo)With yl,,, y2,, tll,t2 knownThis leads to k = yl/((l-e (-tl/jo)
) = y2/(l-e (-t2/jo)

Hence the value of jo

A theoretical curve is plotted with k and jo

a- If the curve is identical to the experimental curve, it can be said
that a single factor, characterized by jo, influences the curve.

b- If the curve is different, at the first point of divergence of the 2
curves, it is necessary to reproduce the operation including y (t) =
k((l-e (-t/jol)) (l-e (-t/jo2)).With k(l-e(-t/jol) value found in a.The
operation is repeated as many times as needed to get an experimental
curve similar to the theoretical curve.

Thanks to a copy to scale, it is possible to find out if one factor or
several play a rôle in the system.

It is possible to design a software which will determine the number and
the characteristic ofthe factors involved in the experimental system.
Indeed, each action which modifies a system will be spotted by a
dimensionless number named jo and will easily be identified in the
course of the analysis of other systems.

Andre pierre jocelyn

Hypothesis on time