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seen Dec 15 '12 at 1:59

Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
"the future and past don't play symmetric roles in logic." are you refering to the Kripke model of temporal logic? (which is used in formal verification of communication protocols etc)
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
initial and final are no symbols from logic! although you may certainly call them symbols from common sense: we are macroscopic subsystems in a larger system
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
i.e. perhaps an anthropocentric-style (but really macroscopic subsystem-style) argument resolves the Loschmidt paradox?
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
I never questioned the need of axioms of logic! I question the need of axiom that introduces the arrow of time, perhaps it is already present as a COROLLARY of exactly the necessary axioms of logic.
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
i.e. time would follow from memory (a macroscopic state of a subsystem of the system)
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
I.e. if a (subjective towards the macroscopic entity in the system) definition of time would map microstates of the system to times the macroscopic entity in the system measures, perhaps this corrolary would follow?
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
Could it not be that this axiom is not independent from more fundamental axioms (from say logic), i.e. it does not harm to add it as an axiom as it wont conflict, but it may be a corrolary of widely used deeper axioms, of which we dont know the proof yet?
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
"the probability to get from the initial ensemble (at t1) to the final ensemble (at t2) must be averaged over the initial microstates but summed over the final microstates" you are using english "initial" and "final" to introduce a (hidden?) axiom which assumes t1 =< t2, i.e. it should really read "the probability to get from the ensemble A to the ensemble B must be averaged over A's microstates but summed over the B's microstates if and only if timeA <= time B" I believe this is true, as I said the evidence is overwhelming. But my question is: is this extra axiom necessary?
Jan
25
asked How are particle simplices associated into complex particles?
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
has the statistical mechanics relationship between microscopic variables (unknown to an entity within the system) and macroscopic variables (some of which form the "knowledge" of an entity in the system) been combined with Kripke semantics to explain the arrow of time?
Jan
25
comment Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
"It could be that the time asymmetry of the universe is driven by the laws of quantum mechanics through the measurement process which is time-asymmetric." it seems like time and knowledge of an entity embedded in the system (which performs and learns information) is getting towards an answer
Jan
25
asked Does the scientific community consider the Loschmidt paradox resolved? If so what is the resolution?
Jan
25
comment Can energy be extracted from clouds?
or they are not telling us: perhaps lighting could be seen as some native american resource
Jan
24
comment Should linear algebra and vector calculus from traditional courses be replaced with `geometric algebra`?
awesome, thanks!
Jan
24
comment Can energy be extracted from clouds?
just like they are a way of extracting energy from the sun ...
Jan
24
comment Why is it that using cell phone can invite lighting strike?
because your reception in the safe faraday cage of your car was not good enough...
Jan
24
asked Can energy be extracted from clouds?
Jan
24
comment Should linear algebra and vector calculus from traditional courses be replaced with `geometric algebra`?
So up till now it was only a suspicion that it would also work at universities (perhaps even highschool), but I have never conversed with anyone who witnesses this, confirmation that this can be done is highly nice. Some questions remain: the courses that follow later in the curriculum, they build on these fundaments, are their troubles within the faculty (professors disagreeing with a different notation etc?), are these sidestepped by giving them traditional notation alongside geometric framework? perhaps I'd be pushing it too far if I dare ask if I could get a copy of notes I wont share on?
Jan
24
comment Should linear algebra and vector calculus from traditional courses be replaced with `geometric algebra`?
thanks for this answer, I was suspecting this was done at some universities, sadly not the one Ive been attending... so when I accidentally discovered it (started reading the GA for Computer Science book thinking I picked up a book about algebraic geometry) I was 1 extatic with the geometric reinterpretation of even things I thought I fully understood (like use outer product for solving simultaneous linear equations as you mention, first time I actually saw the parallelogram) but also 2 anger at whatever combination of factors brought me up with traditional "tower of Babel" split framework!
Jan
24
accepted Should linear algebra and vector calculus from traditional courses be replaced with `geometric algebra`?