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Jul
24
comment Hamiltonian and the space-time structure
What you've done you showed how to derive equations of motion of a free particle given the metrics. Am I right? It is very close to the original question, though the question was asking to find the kinetic energy, not the equations of motion. And by the way, what's your view on how to find $g$ for a system of particles?
Jul
24
revised Hamiltonian and the space-time structure
added 8 characters in body
Jul
23
awarded  Critic
Jul
22
comment What happens to a delta-wing plane when it's nose is tilted away from the line of motion 30 to 45 degrees horizontally?
it can be reformulated to be more general (just replace numbers by letters), but I think it would be a miracle if there is anybody capable of answering the question here. Ian, I bet you know someone in person who could answer it or recommend someone else to help.
Jul
22
comment Hamiltonian and the space-time structure
To make it clearer, you assume that the system moves along geodesics and derive Hamiltonian equations?
Jul
22
answered Units of Distance, Pressure, and Temperature
Jul
22
comment Units of Distance, Pressure, and Temperature
According to wikipedia "Metric system" is quite a vague term (en.wikipedia.org/wiki/Metric_system#Variants). Do you mind using SI? (en.wikipedia.org/wiki/International_System_of_Units)
Jul
22
revised Hamiltonian and the space-time structure
added 2139 characters in body
Jul
22
answered Hamiltonian and the space-time structure
Jul
22
awarded  Yearling
Jul
22
comment Can ship/boat propellers be placed, with adequate protection, alongside the fuselage instead of at the back?
as for big aircrafts putting the engines on the wings is more convenient, because one can make modifications like changing fuselage length later more easily.
Jul
21
revised Introduction to differential forms in thermodynamics
added 100 characters in body
Jul
21
accepted Introduction to differential forms in thermodynamics
Jul
21
comment Introduction to differential forms in thermodynamics
That's indeed a nice point, it doesn't really worth introducing differential forms just for themselves. It would be worthy if such a formalism naturally incorporated in its structure the duality, conjugacy of thermodynamic variables. David has provided an example of this approach, but it is higher than an undergrad level and frankly speaking by this time I've never been actually meditating on this conjugacy. I really need to think it over, especially in the view of classical non-equllibrium thermodynamics.
Jul
19
comment Hamiltonian mechanics and special relativity?
@Qmechanic does it mean that the Hamiltonian equations themselves (the structure of phase space) doesn't change? Is the only thing that changes the allowed form of Hamiltonian? I couldn't find in Wikipedia anything about relativistic Hamiltonian mechanics itself.
Jul
19
asked Hamiltonian mechanics and special relativity?
Jul
19
comment Hamiltonian and the space-time structure
@Zhen Lin Classical physics has it's own space time, though quite special. And it defines the form of a Hamiltonian of a free particle (kinetic energy). As for the relativity theory, I just hoped that in such a manner I'll learn how Hamiltonian mechanics is generalized for that case. I'm curious about it either.
Jul
19
asked Hamiltonian and the space-time structure
Jul
18
answered Electricity takes the path of least resistance?
Jul
18
asked Introduction to differential forms in thermodynamics