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Newsgroups: fr.sci.physique
Date: Mon, 5 Feb 2024 10:32:36 -0800 (PST)
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Subject: =?UTF-8?Q?Re=3A_Le_probl=C3=A8me_de_l=27anisochronie_relativiste=2E?=
From: Richard Verret <rverret97@gmail.com>
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Le 05/02/2024 =C3=A0 16:58, Julien Arlandis a =C3=A9crit :
> C'est pour =C3=A7a que j'ai =C3=A9voqu=C3=A9 UN espace des phases.
Merci de cette pr=C3=A9cision! Dans mes premi=C3=A8res tentatives de public=
ation je m=E2=80=99=C3=A9tais adress=C3=A9 =C3=A0 l=E2=80=99Institut Lois d=
e Broglie, j=E2=80=99avais =C3=A9voqu=C3=A9 l=E2=80=99espace des phases, ma=
is =C3=A7a ne leur a pas plu. Mais mon espace g=C3=A9n=C3=A9ral est bien mi=
eux que l=E2=80=99espace des phases. Comme je le disais, il repr=C3=A9sente=
 l=E2=80=99univers entier, "o=C3=B9 les corps viennent prendre place", il e=
st homog=C3=A8ne, et on peut travailler dessus.
On d=C3=A9finit la fonction f(z) =3D m z =3D mx + my et on pose que l=E2=80=
=99impulsion p est =C3=A9gale =C3=A0 p=3D my. En d=C3=A9rivant f on obtient=
: df/dt =3D mv + mu, avec v =3D dx/dt et u =3D dy/dt, mv est la quantit=C3=
=A9 de mouvement q =3D mv. La somme des forces ext=C3=A9rieures F est =C3=
=A9gale, par d=C3=A9finition, =C3=A0 F =3D dp/dt, on obtient donc F =3D mu,=
 et df/dt =3D q + i F.
Et voili et voilou!