| The aim of the following work is to suggest a
new concept on the way of appreciating and
A - Origin of the hypothesis
In 1993, I carried out a study on a portion of the Rhône to Sete canal in order to regulate
the water level of the canal. The parameters having an impact on the water level are as follows:
a- the level of the Rhôneb- the crossing of the lockc- withdrawal by gravityd- withdrawal by
pumpinge- the rainfallsf- the Nourriguier overflowg- a single wave
The traditional method consists in measuring the variations of the level of the canal along with all the parameters. But, because of the fluctuation of all the parameters, that method is not feasible .That is why I have identified and plotted each parameter on a curve. Then I have tried to solve the equation representing them. Thanks to the use of the method Lapace.I have been able to simplify and solve the equation. Then I have tried to figure out why I had not managed to simplify the f(t) equation whereas the simplification of the x(p) equation was completed in a couple of hours. The difference between the two mathetical systems is an exponential time-base. Hence the hypothesis that time is exponential.
B - Presentation 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.
D - Applications
In Biology, after correction of the time base, the factors involved in such complex systems can be identified.The feasibility of the application has been verified on “nutritional needs of poultry “ by Eugène Simmonet, a work selected by the Académie d’Agriculture and the Académie de Médecine, page 73, and on “the androgens” by A Simmonet, page 188.- In the mechanic of fluids, I have successfully applied the method to studied on thermal exchanges and on the regulations of level.
- In philosophy, the hypothesis implies that a mere instant for an adult is an eternity for a child. One month for a one-month-old child represents 100% of its life, whereas, a month for a 72-year-old personn represents 1/864. The hypothesis is that time for a man or for most of the physical phenomena I have met varies in an exponential way of the first order, that is to say: x(t)= k(l-e (-t/jo) ) for manx being: biological timek being the age of deathand jo as a function of genetics.
E - Conclusion
The current system based on time is a good indicator for a collective system, but the use of a system based on bioligical time eliminates the modification of indicators which make the systems more complex.
AUTHOR: ANDRE pierre jocelyn 1993
Remerciements à Michèle LATTES et Jean-Louis TROUILLON de l'Université de Montpellier 2 pour la traduction de cette partie du texte.
Hypothesis on time