Duhamel principle and Lorentzians

[Ross Finlayson]

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.

[Ross Finlayson]

Post by Ross Finlayson
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.

[Ross Finlayson]

Post by Ross Finlayson

Post by Ross Finlayson
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

[Ross Finlayson]

Post by Ross Finlayson

Post by Ross Finlayson

Post by Ross Finlayson
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.