From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6803 Path: news.gmane.org!not-for-mail From: "Ellis D. Cooper" Newsgroups: gmane.science.mathematics.categories Subject: IMPACT Date: Tue, 19 Jul 2011 14:04:19 -0400 Message-ID: Reply-To: "Ellis D. Cooper" NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii"; format=flowed X-Trace: dough.gmane.org 1311177766 9606 80.91.229.12 (20 Jul 2011 16:02:46 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Wed, 20 Jul 2011 16:02:46 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Wed Jul 20 18:02:41 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.128]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1QjZEP-0004nV-52 for gsmc-categories@m.gmane.org; Wed, 20 Jul 2011 18:02:41 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:33134) by smtpy.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1QjZCK-0006ur-S3; Wed, 20 Jul 2011 13:00:32 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1QjZCK-0003Gq-78 for categories-list@mlist.mta.ca; Wed, 20 Jul 2011 13:00:32 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6803 Archived-At: Understanding and maybe even solving problems in energy conservation, energy transduction and global warming depend in part on advances in chemical thermodynamics. But chemical thermodynamics is an old and difficult branch of mathematical science. My book on mathematical mechanics tries to take baby steps towards a categorical chemical thermodynamics. For example, there exists a monoidal functor ("Hess's Law") which assigns enthalpy of formation to mixtures and enthalpy of transformation to reactions. One-, two-, or three-dimensional bodies are connected by bodies that conduct certain substances, and which may themselves be connected by bodies conducting other substances. Substances include chemicals, charge, volume, momentum, and entropy, and any flowing substance carries energy. The theory of substances is an axiomatic theory including an Energy Axiom ("First Law of Thermodynamics") and an Entropy Axiom ("Second Law of Thermodynamics"). In my dreams a grown up categorical chemical thermodynamics may invoke higher-dimensional categories and other areas of current seemingly abstract research. Ellis D. Cooper [For admin and other information see: http://www.mta.ca/~cat-dist/ ]