I get it, generalized coordinates, symmetries, etc , but it only works with conservative systems which don’t really exist lol
anon, it's non-conservative systems that don't exist
>>16801200name an example of a conservative system, go awn
>>16801201The US govt
>>16801188the entirety of physics relies on conserved quantities
>>16802159there is literally no proof anything is conserved
>>16801188Conservative systems don’t exist because our systems don’t use conservative principles. For example economic theory is debt based and the number space and boundary conditions are presumed infinite. In chemistry molecules reach a thermodynamic equilibrium witch for all intents and purposes is a friction less system.Conservative dynamic systems exist in space. The solar system is one.Bitcoin uses the law of conservation of energy to mine so if bitcoin becomes the world reserve. The economy will be a conservative system
>>16802335>Conservative dynamic systems exist in space. The solar system is one.But nothing exists in isolation.. it moves and could eventually be influenced by other systems..Also, as the sun radiates heat in every direction (where does it go?), its mass is reduced every second (not significant in any way), but given enough time it will be enough to expand the orbits of every planet.
>>16802296>there is literally no proof anything is conservedYou dont need proofs in physics.
>>16802480there is evidence to the contrary
[eqn]\frac{d}{dt} \frac{\partial T}{\partial \dot q_j} - \frac{\partial T}{\partial q_j} = Q_j[/eqn]The generalized force [math]Q_j[/math] can be dissipative.
>>16802296If the force [math]\mathbf{F}[/math] is the gradient of a potential [math]V[/math], then the energy [math]E = T + V[/math] is conserved. This has a mathematical proof, for which only Newton's second law is necessary.
>>16802405That’s an assumption. could or should with your language implies speculation. There is no evidence to support this statement. It’s just a deceptive form of communication. It’s used to discredit conservatism in systems. This goes pretty deep If you read some political philosophy in Marx and Karl poppers war on religion and promoting of atheism. You can see that they could give two fucks about god or religion being right or wrong. The real issue here they had a problem with is the restrictive nature Christian nationalism and its political stranglehold on western society. It makes technological progress prohibitive.It’s in the language bro. Pay attention to the words!!! Liberal meaning loose, unrestrained, unregulated. Conservative meaning, savings cautious or modesty.