Mechanics Research: Discuss Ideas & Anomalies Here!

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The discussion invites participants to share and collaborate on research ideas in the field of Mechanics, specifically focusing on relativistic concepts. Contributors are encouraged to highlight any anomalies or incompleteness they have observed in existing theories. The conversation explicitly excludes Quantum Mechanics due to the original poster's limited mathematical knowledge in that area. Participants are urged to engage and explore these topics collectively. The thread aims to foster a collaborative environment for advancing understanding in Mechanics.
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Is there anyone here who is interested in doing research in Mechanics (preferably relativistic)? Post your ideas here and we can work on them together. For example, som incompleteness or anomaly that you spotted in the current theories. I don't mean Quantum Mechanics, about which I have very little mathematical knowledge.Outside that. Anyone?
 
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Okay. I should probably have taken this somewhere else.
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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