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Subject: Re: Duhamel principle and Lorentzians
Newsgroups: sci.physics.relativity
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From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Fri, 3 Jan 2025 11:05:53 -0800
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On 12/30/2024 01:04 PM, Ross Finlayson wrote:
> On 12/30/2024 12:53 PM, Ross Finlayson wrote:
>> On 12/26/2024 10:54 AM, Ross Finlayson wrote:
>>> 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.
>>>
>>
>>
>> It seems this is a probable case in the differential
>> analysis, and there are at least some linked-looking
>> efforts, about Duhamel principle and implementing
>> gradient in Lorentzians, with a vanishingly small
>> amount of energy.
>>
>>
>> I think that the differential analysis needs more
>> integral analysis and the differintegro and the
>> integrodiffer, yet examples like this about Duhamel
>> are rather un-explored for sitting in the middle
>> of the Lorentzian.
>>
>>
>
>
> "In the Standard Model, this non-zero expectation
> is responsible for the fermion masses despite the
> chiral symmetry of the model apparently excluding them. "
> -- https://en.wikipedia.org/wiki/Yukawa_interaction
>
>

So, nobody else noticed that meson forces into the
various aspects of symmetric and asymmetric Yukawa
potentials make for Duhamel principle in Lorentzians?

It shows up in connections between mathematics and physics,
in many sorts usual developments in differential and
integral analysis and various theories of physics so
often built from inverse square and heat equation.