The default law of science.
There is nothing that can be created out nothing.
There is nothing that can disappear into nothing.
Nothing comes from nothing . Parmenides of Elea ( 515 BC )
 
In physics, the law of conservation of linear momentum states that the momentum of an isolated system remains constant. Momentum is neither created nor destroyed.
We calulate a sum (over the number of balls i), before the impact of any ball, and for each ball we take the mass times the velocity. (mi vib). This sum should be equal to the sum (over the number of balls i), after the impact of any ball, and for each ball we take the mass times the velocity. (mi via).
(m1 v1b) + (m2 v2b) = (m1 v1a) + (m2 v2a)
So, the steel bals have a mass m1 times velocity v1b before impact and a mass m2 times velocity v2b before impact and that is equal to m1 times velocity v1a after impact plus mass m2 times velocity v2a after impact.
If we do the experiment momentum disappears, so the law is not valid.
If this world is made out of objects able to conserve mass times velocity then the law of conservation of linear momentum should appear to be valid.
The conclusion is that this world is not made out of objects able to conserve mass times velocity
We simply made a first order approximation, the second order approximation will solve some problems, but also creates new ones.
Why not solve the new problems with a third order approximation?
Momentum (First order) sum m dx/dt = constant
Force (Second order) sum m d(dx/dt/dt) = constant
Third order sum m d(d(dx/dt)/dt)dt = constant
 
 
 
 
Some pictures out of my reasoning
Third order
Third order Third order Third order
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