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@@ -5,3 +5,4 @@ scheme_stuff proposal/bnewbold_8thesis_proposal.skel.pdf *.swp *~ +*.bak @@ -11,23 +11,85 @@ http://web.mit.edu/bnewbold/thesis/</a></i> <br /><br /> <b>Title: </b> A Compuational Elucidation of Curved Spacetime<br /> <b>Advisor: </b> Prof. Gerald Sussman, EECS<br /> -<b>Year: </b>2009 +<b>Year: </b>2009<br /> +<br /> + +The old version of this page is <a href="other/sicm-fall08.html">here</a>, +outlining what kind of projects I was interested in. <h2>Quick Links</h2> <ul> - <li /><a href="http://git.bryannewbold.com/">git repository</a> - <li /><a href="README">README</a> file + <li /><a href="http://git.bryannewbold.com/">git repository</a>: + <a href="README">README file</a>, changelog, browse tree, + <a href="./">browse local</a> <li />MIT/GNU Scheme: project, guide, installation <li />R5RS <li />SICM: textbook, scmutils <li />My knowledge: scheme, math, physics </ul> +<h2>Schedule</h2> +My course schedule etc can be found at <a href="http://bryannewbold.com/cal/"> +bryannewbold.com/cal</a>.<br /><br /> +<table style="border: solid black 1px; margin-left: 100px;" border="1" cellpadding="3" cellspacing="0"> +<tr /><td /><b><u>When</u></b> + <td width="450px"/><b><u>What to do</u></b> +<tr /><td />Jan 16-22 + <td />Self teach some more scheme and differential geometry, documenting + examples. Maybe work through 2 or 3 problems from SICM textbook + or implement some classic physics problems (eg current through + wire cross section, variational principle examples in Feynman + lectures, derivation of magnetism at the 8.022 level). + <br />Understand and document scmutils package and compiler + interactions (at least conceptually). + <br />If I'm going to put mit-scheme in sage, this is the time to + do it, after this point I shouldn't be focusing on the software + tools as much. +<tr /><td />Jan 19-26? + <td />Work through "Functional Differential Geometry", rewriting by hand +<tr /><td />Jan 31 + <td />By this date have a proposed outline with length estimates so + I can sanity check with somebody in the physics department. +<tr /><td />Feb 28? + <td />Have something resembling a draft and be working out details, + getting comments from professors and other students. At least + one interesting application should be demonstrated. +<tr /><td />??? + <td />Spring break week +<tr /><td />??? + <td />Final due to department +</table> + <h2><a href="journal/">Journal Entries</a></h2> <h2><a href="references.html">References</a></h2> -<h2>Summary</h2> -lorem ipsum lorem ipsum lorem ipsum lorem ipsum -lorem ipsum lorem ipsum lorem ipsum lorem ipsum -lorem ipsum lorem ipsum lorem ipsum lorem ipsum +<h2>Summary/Abstract</h2> +<i>from proposal:</i> +<p /> +I propose to implement a geometric formulation of curved space time in a +functional computer programming language, and to explore the space of +simulations +and manipulations made possible by such a formulation. A primary motivation +is to state the foundations of General Relativity in a non-ambiguous manner. +<p /> +This work follows several attempts to formulate curved spacetime on +computers for the purpose of numerical calculations and algebraic manipulation. +Most of these packages are specially designed for the tasks of tensor analysis +and/or efficient numerical calculation, as is appropriate for use in +calculations. +A crucial difference of this proposed work will be to carefully build up the +geometric and analytical tools in a general purpose functional programing +language (mit-scheme). As a learning and reference tool, this will allow users +to explore +the inner workings and structure of the system, which I believe is essential to +understanding the system as a whole. +<p /> + The frame field representation will be used to emphasize the geometric +properties of curved space time, as opposed to the more traditional coordinate +heavy tensor analysis approach. +<p /> + The resulting work will include a full implementation with source code and +documentation, as well as example problems and qualitative comparisons with +existing packages and software systems. + </body> </html> diff --git a/references.html b/references.html index 5481396..7fc87ea 100644 --- a/references.html +++ b/references.html @@ -5,7 +5,7 @@ <i>Bryan Newbold, <a href="mailto:bnewbold@mit.edu">bnewbold@mit.edu</a></i><br /> <i><a href="http://web.mit.edu/bnewbold/thesis/references.html"> http://web.mit.edu/bnewbold/thesis/references.html</a></i> - +<br /><br /> The SICM text book is <a href="http://mitpress.mit.edu/SICM/">free online</a>; so is the <a href="http://mitpress.mit.edu/sicp/">SICP book</a>. </br /> |