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1 files changed, 69 insertions, 7 deletions

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@@ -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>
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+<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.
+
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