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Path: ...!Xl.tags.giganews.com!local-1.nntp.ord.giganews.com!news.giganews.com.POSTED!not-for-mail NNTP-Posting-Date: Thu, 26 Dec 2024 18:54:57 +0000 Newsgroups: sci.physics.relativity X-Mozilla-News-Host: snews://giganews.com:443 From: Ross Finlayson <ross.a.finlayson@gmail.com> Subject: Duhamel principle and Lorentzians Date: Thu, 26 Dec 2024 10:54:48 -0800 User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.6.0 MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 7bit Message-ID: <XJ2cnX22BdAeO_D6nZ2dnZfqnPadnZ2d@giganews.com> Lines: 14 X-Usenet-Provider: http://www.giganews.com X-Trace: sv3-h9Ajv8ZXWMMQwoIuol/vgQGo6r/1HPwqQUVi3UFxGMrxRdCxmUaIrj2zuBiutlq8KnMdHkZ6UHjQS2d!QuI3Fnf70UL+saCIp7jDRIuZFuCBVUu5uK5bR2JU9CQdrQkQek+9xLtt2Dm2XDXZ+FkKq8qQEGAx X-Complaints-To: abuse@giganews.com X-DMCA-Notifications: http://www.giganews.com/info/dmca.html X-Abuse-and-DMCA-Info: Please be sure to forward a copy of ALL headers X-Abuse-and-DMCA-Info: Otherwise we will be unable to process your complaint properly X-Postfilter: 1.3.40 Bytes: 1723 Looking into Duhamel principle, with the idea that it's like a heat equation where heat's generated at time t position x, notice that it makes for the Laplacian and that its extra term t - tau is just like the Lorentzian's -t when d^2. So, Duhamel's principle sort of advises that it's a usual kind of concern, then to model the least-action/least-gradient of time-irreversibility and entropy, you'll notice, having the same sort of idea, and the ability to re-write what's about the statistical ensemble the thermo second law, in terms of extracting out what's Duhamel principle, to Lorentzians.