hansda:
Consider above two statements. Do you think Newton's First Law and Second Law of Motion are independent?
That's a difficult question for me to answer, actually. Newton never really defines the term "force". In a sense, all of Newton's three laws implictly define what a force is, and what forces do.
Arguably, one could say that Newton's 1st law follows from the second. The second says is there is no force, there is no acceleration. No acceleration means motion in a straight line with constant speed, and that's Newton's 1st law.
I think that Newton put the 1st law there explicitly to counter the Aristotlean idea that an applied force is required to keep something moving at constant speed.
Consider Lorentz transformation of length. We know that when a mass travels at a relativistic speed, its length will change as per Lorentz Transformation. In Newtonian Model this effect can be considered as if a compressive force is applied to the mass at relativistic speed and changing its length.
When you say "Newtonian Model", do you mean your model, or Newton's?
There is no measurable "compressive force" on an object due to relativistic length contraction.
Seems you have not read my paper.
I would need to sign up to something to do that.
Consider force as a function of time. So at every instant of time t, the force F(t) will be having some value. This t can be considered as an instant of time. You can also see II.6 of my paper
https://www.academia.edu/31457696/A_Mathematical_Theory_of_Success .
You still haven't defined "instant of time".
In your model, is time quantised, or continuous?
Normal, Newtonian mechanics, says that at any value of t, the continuous time variable, F(t) has some value. How is your theory any different from that?
As an example consider reflection of photon particle. Or you can also consider trajectory of a football when it is played among the teams. The players apply force instantly to change its trajectory.
Photons are complicated things with both particle and wave properties. Reflection is perhaps best described as a wave phenomenon.
As for kicking a football, the force applied by the kick is not instantaneous. The force is applied over a short time. It's what is sometimes called an impulsive force.
Can you explain the change of trajectory of a photon particle with Newton's Laws?
You mean reflection?
Certainly there is a classical description of reflection, which describes light as electromagnetic waves. Reflection occurs at the boundary between two media, for well-understood reasons. There is another, quantum description of reflection, too, but the explanation is broadly similar.
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I'm still not seeing how your theory improves on Newton's.