Thank you for your information. What I want to know is about thermodynamics if we hyperkomplexify the temperature, not just imaginarize it as prof Baez did....
1091
Armahedi Mahzar
armahedi
Dec 29, 2011 5:07 pm
Sorry, it is not finished yet. I am still learning my new android tablet. What I am curious is the other side of prof Baez' idea. what you try to understand is...
1092
Jens Koeplinger
jens_koeplinger
Dec 29, 2011 6:25 pm
Hi all - I recently bought Geoffrey Dixon's new book: "Division Algebras, Lattices, Physics, Windmill Tilting" http://www.amazon.com/gp/product/1463730802 ...
1093
Jens Koeplinger
jens_koeplinger
Jan 3, 2012 10:47 pm
Hello all who continue to be interested in my posts towards a redefined exponentiation using Burgin hypernumbers. In the last post I finished defining the...
1094
Jens Koeplinger
jens_koeplinger
Jan 4, 2012 11:08 pm
I need to be more careful when saying things like: "The definitions now work." I should learn to always anticipate the inevitable mistake and rather say e.g.:...
1095
John A
johnashuster
Jan 6, 2012 3:56 am
Reply to Burgin-7 "Milestone Post" Jens -- Forgive my late reply, but my brain has not wanted to do mathematics over the holidays : ). I did have problems...
1096
John A
johnashuster
Jan 6, 2012 11:19 pm
CORRECTED REPLY to Burgin-7 "Milestone Post" (This posting corrects the major misunderstanding in my last post. Please ignore that post, and Jens, please...
1097
Jens Koeplinger
jens_koeplinger
Jan 8, 2012 9:12 pm
Hi John (and all) - thanks so much, as always, for your review and corrections! I am a bit embarrassed on how many symbols are needed to describe such a simple...
1098
John A
johnashuster
Jan 9, 2012 6:08 pm
You wrote: "In academia a typical response is anywhere between a month to never, which averages out to "never" unless you use an averaging algorithm that...
1099
Jens Koeplinger
jens_koeplinger
Feb 12, 2012 7:26 pm
Hello all who are following the "generalized exponentiation"; trail of posts. Sorry for the irregular updates, In the "Burgin (7)" thread I had arrived at a set...
1100
Jens Koeplinger
jens_koeplinger
Feb 16, 2012 10:44 pm
Hello - in this post I was planning to show arithmetic of generalized exponentiation a^b where both a and b are rational. As it turns out, I have to change...
1101
Jens Koeplinger
jens_koeplinger
Feb 17, 2012 11:02 pm
Hello - here's the post where I'll discuss arithmetic of generalized exponentiation. The configuration space for now are the rationals, but the argument here...
1102
John A
johnashuster
Feb 18, 2012 2:02 am
Jens, you seem to have offered an interesting way of how to * slide * your generalized exponentiation problem for octonions into the framework of the E8...
1103
Jens Koeplinger
jens_koeplinger
Feb 19, 2012 4:27 am
Hi John - thank you so much for the encouraging words! There is a whole new world of unknowns out there now, the world of lattices, and I'm trying not to think...
1104
John A
johnashuster
Feb 21, 2012 1:07 am
Jens, here are my comments on Burgin-10. I believe you successfully define general hypernumber multiplication and addition, but "sketchily, as you admit. 1) I...
1105
Jens Koeplinger
jens_koeplinger
Feb 21, 2012 10:55 pm
Hi John - thanks for saving a poor physicist soul from mathematical free-fall :) You helped me realize that I never thought about telling anyone here where...
1106
John A
johnashuster
Feb 22, 2012 7:42 pm
Jens, please go ahead a update your Hn_Glossary, as a flat text file if you wish. I suggest each "term" to be defined (ideally bolded or underlined) be on a...
1107
Jens Koeplinger
jens_koeplinger
Feb 24, 2012 1:52 pm
... I think this is (too) simple: A sequence over the rationals could e.g. be 0, 1, 0, 1, 0, 1, ... etc whereas an eumeration is a bijective map from a whole...
1108
John A
johnashuster
Feb 24, 2012 8:58 pm
Jens and HCers: As I frequently tell my friends, "STUPID is on the increase, worldwide." My last post offered my own brand of this affliction:) ... JS2: DA! ...
1109
Jens Koeplinger
jens_koeplinger
Feb 25, 2012 3:19 pm
... b^omega ... The set of sequences made from 0s or 1s: b^omega := { (b_k)_alpha in {0. 1}, k in omega, alpha in N } ... G^omega(phi) ... The set of sequences...
1110
Jens Koeplinger
jens_koeplinger
Feb 26, 2012 4:36 am
John, as it turns out, your feeling that Seq{P} was unneeded was also correct (although of course not exactly the way you wrote). So, in your last post,...
1111
John A
johnashuster
Feb 27, 2012 6:26 pm
Ok, glad I could "alert" us! [I try not to take myself too seriously. This site is not where I should express my polical opinion about the Stpd(t), worldwide:)...
1112
Jens Koeplinger
jens_koeplinger
Mar 3, 2012 10:28 pm
Hi John - thanks for your support! Just quickly re definitions: You wrote ... Right - my bad. I wrongly use the "element in" symbol, whereas I should have used...
1113
Jens Koeplinger
jens_koeplinger
Mar 11, 2012 1:16 am
Hello - just quickly: Minor typos fixed in the attached glossary files. Nothing not already written here, no need to go through it, for your reference only....
1114
Jens Koeplinger
jens_koeplinger
Mar 13, 2012 9:48 pm
Hello hello - this post quickly presents Burgin extrafunctions. I know I told you that I'll write about extraderivatives next, but really I shouldn't skip...
1115
Jens Koeplinger
jens_koeplinger
Mar 14, 2012 9:55 pm
Oopsie - I forgot part of the second example that started with "Let f and g ..." - here's the part that deals with the "... and g". I also realize that chosing...
1116
Jens Koeplinger
jens_koeplinger
Mar 17, 2012 7:43 pm
Hyperdifferentiation and extraderivatives - here's where I think it gets exciting. Up until now I've shown how Burgin hypernumbers are represented by an...
1117
John A
johnashuster
Mar 29, 2012 4:04 pm
It is rare when one can witness a fresh look at Quantum Theory in the making, especially that bugaboo about the "observer"; influencing the result. Jens, thanks...
1118
Jens Koeplinger
jens_koeplinger
Mar 30, 2012 12:39 pm
You're too kind, John. And you know that no matter how many people complained about the way we do quantum mechanics today in physics, there's always the chance...
1119
Jens Koeplinger
jens_koeplinger
May 25, 2012 11:55 am
Now that's an exciting motto for an essay contest, and the timing is great as well: http://fqxi.org/community/forum/topic/1263 They say submissions due by...
