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What Is “Fundamental”
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How can mindless mathematical laws give rise to aims and intention?
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Which of Our Basic Physical Assumptions Are Wrong?
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Is Reality Digital or Analog?
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RECENT POSTS IN THIS TOPIC

Abhijnan Rej: on 10/4/12 at 6:18am UTC, wrote Frankly I really do not care about the ratings and/or the problems that may...

Sergey Fedosin: on 10/4/12 at 4:17am UTC, wrote If you do not understand why your rating dropped down. As I found ratings...

Hoang Hai: on 9/28/12 at 3:18am UTC, wrote Dear Abhijnan Rej Would be more convincing, if you add a specific...

Benjamin Dribus: on 9/6/12 at 20:45pm UTC, wrote Dear Abhijnan, It's tremendous to see an essay here involving algebraic...

Abhijnan Rej: on 9/5/12 at 15:22pm UTC, wrote Essay Abstract I argue that consistent geometrical descriptions of...

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FQXi FORUM
August 14, 2022

CATEGORY: Questioning the Foundations Essay Contest (2012) [back]
TOPIC: Dimension, Divergence and Desingularization by Abhijnan Rej [refresh]

Author Abhijnan Rej wrote on Sep. 5, 2012 @ 15:22 GMT
Essay Abstract

I argue that consistent geometrical descriptions of the universe are far from unique even as low-energy limits and that an abstract "atomic" description of spacetime and gauge-theoretic geometry in terms of K-theories of algebraic and analytic cycles has the promise to restore uniqueness to our description.

Author Bio

Trained as a mathematical physicist at Connecticut, Boston and Bonn. Research experience in geometrical aspects of high-energy physics and arithmetic geometry includes a position at the Fields Institute, Toronto. Currently working as a research quant with a major IT company, specializing in systemic risks.

Member Benjamin F. Dribus wrote on Sep. 6, 2012 @ 20:45 GMT
Dear Abhijnan,

It's tremendous to see an essay here involving algebraic geometry and K-theory. You present a lot of interesting ideas, of which other physicists should take note. A couple of questions/remarks.

1. I know that the string theorists are already trying to apply K-theory to things like D-brane classification. I think it's mainly the Milnor part that's involved, and...

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Hoang cao Hai wrote on Sep. 28, 2012 @ 03:18 GMT
Dear Abhijnan Rej

Would be more convincing, if you add a specific conclusion for us.

Kind Regards !

Hải.Caohoàng of THE INCORRECT ASSUMPTIONS AND A CORRECT THEORY

August 23, 2012 - 11:51 GMT on this essay contest.

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Sergey G Fedosin wrote on Oct. 4, 2012 @ 04:17 GMT
If you do not understand why your rating dropped down. As I found ratings in the contest are calculated in the next way. Suppose your rating is
$R_1$
and
$N_1$
was the quantity of people which gave you ratings. Then you have
$S_1=R_1 N_1$
of points. After it anyone give you
$dS$
of points so you have
$S_2=S_1+ dS$
of points and
$N_2=N_1+1$
is the common quantity of the people which gave you ratings. At the same time you will have
$S_2=R_2 N_2$
of points. From here, if you want to be R2 > R1 there must be:
$S_2/ N_2>S_1/ N_1$
or
$(S_1+ dS) / (N_1+1) >S_1/ N_1$
or
$dS >S_1/ N_1 =R_1$
In other words if you want to increase rating of anyone you must give him more points
$dS$
then the participant`s rating
$R_1$
was at the moment you rated him. From here it is seen that in the contest are special rules for ratings. And from here there are misunderstanding of some participants what is happened with their ratings. Moreover since community ratings are hided some participants do not sure how increase ratings of others and gives them maximum 10 points. But in the case the scale from 1 to 10 of points do not work, and some essays are overestimated and some essays are drop down. In my opinion it is a bad problem with this Contest rating process.

Sergey Fedosin

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Abhijnan Rej replied on Oct. 4, 2012 @ 06:18 GMT
Frankly I really do not care about the ratings and/or the problems that may be associated to it. FQXI contests are a nice way of raising some core issues and for me the main benefit lies in thinking about them and "packaging" my thoughts in a single essay rather than (potentially) winning a prize.

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