dst
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Eidos said:How does the above logically lead to:
?
By definition, loss in energy of type X = gain in energy of type Y. Hence loss + gain = 0.
Eidos said:How does the above logically lead to:
?
dst said:By definition, loss in energy of type X = gain in energy of type Y. Hence loss + gain = 0.
but it is reality that will win out.Eidos said:So the analogy of energy conservation was to that of a simple algebraic equation?*
I disagree with your reasoning here. You've shown that x=-1 in that example, that's it.
Also: I can write down an equation where conservation of energy is broken, it doesn't mean it is so. You cannot use mathematics to show the conservation of energy. Although from Noether's theorem, if you have physical 'laws' with invariance under time translation then you have conservation of energy.
Even this strong result means nothing if someday we measure the physical constants to have changed slightly and there is nothing logically stopping this from happening. Reality is the feedback for all of our models, what we do on paper is wonderful (and funbut it is reality that will win out.
*{sounds like the opening line to some rap song :P}
You can prove things inductively in maths, not in measurement. For as long as we have measured properly, the conservation of energy principle has not been broken. We are assuming that it will continue to do so. We are in fact saying a similar thing here though, I'm just weary of using the word proof outside of mathematics.dst said:Not at all. Energy conservation is something that can only be proven inductively in reality. Saying otherwise is religion (and really is, a core concept in Abrahamic faiths), not science.
How do you mean?dst said:Breaking conservation of energy leads to breaking conservation of mass and that is where things get out of hand. Outside of that, I can't see why not.
This is the process which drives nuclear reactors in power stations, submarines etc.Gamerex said:hence possible a mass>energy conversion.
Eidos said:Thats what E=m_0c^2 means, the rest mass of an object multiplied by the speed of light squared is the the energy that the mass has intrinsically.![]()
For a conservative system the mechanical energy of that system can be proved to be conserved, i.e. it is a theorem. However the general law of the conservation of energy cannot be proven. It is a Law of Physics (aka axiom, postulate). Laws of Physics are used in physics as basic principles. All derivations of physical theorems are based on theorems and laws. Eventually one gets to a point where something has to be postulated and used as a basic starting point.dst said:Not at all. Energy conservation is something that can only be proven inductively in reality. Saying otherwise is religion (and really is, a core concept in Abrahamic faiths), not science.
Science is the systematic enterprise of gathering knowledge about the world and organizing and condensing that knowledge into testable laws and theories. The success and credibility of science is anchored in the willingness of scientists to:
(1) expose their ideas and results to independent testing and replication by other scientists; this requires the complete and open exchange of data, procedures and materials;
(2) abandon or modify accepted conclusions when confronted with more complete or reliable experimental evidence.
Therefore Laws (aka postulates aka axioms etc.) are part of science in the most strictest sense of the term.
Incorrect. Conservation of mass is a theorem which can be derived from the principle of relativity and the law of conservation of 3-momentum (which is postulated to hold in all inertial frames of reference). That's not too hard to prove either. Would you like to see the derivation?Breaking conservation of energy leads to breaking conservation of mass and that is where things get out of hand. Outside of that, I can't see why not.
Pete
The topic of mass-energy conversion is currently being discussed in another thread. If you'd like to review it then you can find it atEidos said:You can prove things inductively in maths, not in measurement. For as long as we have measured properly, the conservation of energy principle has not been broken. We are assuming that it will continue to do so. We are in fact saying a similar thing here though, I'm just weary of using the word proof outside of mathematics.
How do you mean?
Mass is energy.
What you and I can both agree on though, is that it is reality (i.e. What we can measure), that beats paper and pencil.![]()