Re: [math-fun] Cohl Furey & the Octonians
1. I don't see how "division" relates to "time-reversal/unitarity" at all. I seem to recall that time-reversal is more like complex conjugation than division, so that when a wave travelling in the forward direction hits a wave travelling in the reverse direction, the result is abs()^2 -- i.e., (X)(X*) = |X|^2. See https://en.wikipedia.org/wiki/Transactional_interpretation 2. This still leaves us with the problem of division. So what *is* the physical interpretation of the map x -> 1/x ? At 10:15 PM 7/28/2018, Dan Asimov wrote:
Now I'm even completely loster.
Does "x Â> 1/x" have anything to do with a) "Time reversal / unitarity" or with b) "
Henry Baker wrote: ----- "Time reversal / unitarity."
????
Ok, I'm completely lost.
What is the physical meaning of x -> 1/x (assuming that it's unique in a non-associative algebra. If not, choose a left or right inverse or.)
At 12:31 PM 7/28/2018, Mike Stay wrote:
"Where does she use *division*?" Time reversal / unitarity.
When everything is unitary, the notions of 'multiplicative inverse' and 'conjugate transpose' coincide.
Sent: Sunday, July 29, 2018 at 2:36 PM From: "Henry Baker" <hbaker1@pipeline.com> To: "Dan Asimov" <dasimov@earthlink.net>, math-fun <math-fun@mailman.xmission.com> Subject: Re: [math-fun] Cohl Furey & the Octonians
1. I don't see how "division" relates to "time-reversal/unitarity" at all.
I seem to recall that time-reversal is more like complex conjugation than division, so that when a wave travelling in the forward direction hits a wave travelling in the reverse direction, the result is abs()^2 -- i.e., (X)(X*) = |X|^2.
See https://en.wikipedia.org/wiki/Transactional_interpretation
2. This still leaves us with the problem of division. So what *is* the physical interpretation of the map x -> 1/x ?
At 10:15 PM 7/28/2018, Dan Asimov wrote:
Now I'm even completely loster.
Does "x > 1/x" have anything to do with a) "Time reversal / unitarity" or with b) "
Henry Baker wrote: ----- "Time reversal / unitarity."
????
Ok, I'm completely lost.
What is the physical meaning of x -> 1/x (assuming that it's unique in a non-associative algebra. If not, choose a left or right inverse or.)
At 12:31 PM 7/28/2018, Mike Stay wrote:
"Where does she use *division*?" Time reversal / unitarity.
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (2)
-
Adam P. Goucher -
Henry Baker