Newton’s third law of motion violates the law of **Cause and Effect**, dominant principle of **Classical Physics**.

No, it doesn’t. Why would you make such a claim? What are you basing it on? I should point out that it doesn’t always hold. For instance, in some instances where two charged particles are moving relative to each other the force exerted on one charged particle is not equal and opposite to the force it exerts on the other charge. If the field itself didn’t have momentum then this would violate the principle of conservation of momentum.

If Newton’s third law is correct, **then how did momentum begin** ?

What do you mean “how did momentum begin”? Are you asking how it was originally defined? If so then the first hint of it appeared in Newton’s

*Principia* where it was related to something called the

*quantity of motion* which was mass times speed. In modern Newtonian mechanics we defined momentum as the product of mass times velocity. See

http://en.wikipedia.org/wiki/MomentumAn acquaintance of mine wrote an article on this. I have it and will upload it onto my website if you’d like to read it. It’s called

**Did Newton forget his own laws of motion?** by A.P. French,

*Am. J. Phys.*, 52(1), Jan. (1984). The abstract is online at

http://link.aip.org/link/ajpias/v52/i1/p13/s1Newton’s third law states:

**For every action, there is an equal and opposite reaction.**

That’s how Newton phrased it. It’s not how physicists phrase it in modern classical mechanics textbooks. For example; in

**Classical Mechanics – Third Edition** by Goldstein, Safko and Poole (2001) they define it on page 5 as follows

…the forces two particles exert on each other are equal and opposite.

To make the paradox clear.

There’s no paradox here. Even from what you wrote, there’s no paradox. All you did was state Newton’s Third Law of Motion which when stated correctly is always correct. The correct statement which is always correct in classical mechanics, even in special relativity, is that when two particles interact by contact forces the force on particle one by particle two is equal and opposite to the force on particle two by particle one.