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Law of Conservation of Energy and Symmetries of nature

Conservation laws are among the most fundamental concepts of physics. They enable us to solve mathematical and physics equations which are otherwise painfully difficult or even impossible to solve.   yet, they are wrong. Atleast they're only true upto certian extent. These laws are the consequences of the basic symmetries of the nature or more fundamental principle, Noether Theorem. (Read as NOT-ER) Conservation laws are cheat codes of physics for solving complex and impossible math equations. They emerge from the simple and basic tools of reality. The connection between conservation laws and basic natural symmetries are encapsulated under noether's theorem. The seeming paradox that led to the discovery of this noether's theorem is Einstein's general relativity in 1915. This paper had opened as many questions as it answered.  Courtesy: Wikipedia Einstein's General Relativity Paper published in 1915 Among them was the energy conservation. The ...

REAL MEANING OF E=MC2 (PART- 2)

From the previous discussion, we had a clear cut ideology on mass and its measurement. We had a good agreement on the aspect that even if two objects are made of identical constituents, they does not weigh the same in general. Mass of something made out of smaller parts is not simply the sum of the mass of the parts. Instead, it depends on several factors. Also, we’ve learned that the extra energies (E extra = M extra C 2 ) which are present within the object contribute to the mass of the object as M extra = E extra /C 2             Since, C 2 is soo huge, this extra mass is billionth of billionth percent of total mass. This might be small but measurable. Therefore, m ~= Amount of matter You can see the full discussion here . Okay.   Now, here comes the fun part. In all the examples we’ve discussed earlier the total mass of the object is always greater than the combined mass of its parts. But, at t...