Of what order is a scientific description? Normally we have the data and the data are fitted very well with x(t) = p0 + p1 t + p2 t² . We then state: The problem is of second order because differentiating by time twice results into a constant. Lets look at the differentiating process in detail. Differentiating consists of deviding (xi+1 - xi) by (ti+1 - ti) . The difference of xi+1 minus xi is almost zero and ti+1 minus ti is almost zero. The 1/(ti+1 - ti) is almost ∞ , infinity. The second order mathematical problem introduces an extra ∞ , infinity , as shown by the picture. The order of a calculation, description in science is based upon the amount of 1/(ti+1 - ti), d()/dt that is in the calculation or description.
There are three d()/dt this Lorentz reasoning. There are two d()/dt beacuse Lorentz is reasoning in forces, which are of second order. And there is one d()/dt extra because of the velocity between the two frames. So, this reasoning is of third order.
There are three d()/dt this Einstein reasoning. There are two d()/dt beacuse Einstein is reasoning in energy, which is force over distance. Forces are of second order , it is mass time acceleration. And there is one d()/dt extra because of the mass changes by time. So, this reasoning is of third order.
The above reasoning is of second order. There are two d()/dt in this reasoning. The reasoning creates a definition of time. A mass on a cord of 1 meter swings to the other side in 1 second. The definition is the second order defintion of time. (second order time). But now there is a problem. The second order calculations changes the parameters in 1/∞² (twice infinity) This is quiet fast. But third order calculations changes their parameters in 1/∞³ (triple infinity) The second order calculations have three parameters. The third order calculations have four parameters. Trying to describe and calculate third order problems with second order time and second order defintions will not work as third order problems change their parameters faster. Third order calculations can change the parameters in a way which is not possible for second order calculations. The uncertainty in science is introduced by calculating third order problems with second order reasoning. ir.S.J.Boersen 20190814
 
 
Some pictures out of my reasoning
Third order
Third order Third order Third order
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