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Field objects moving at the speed of light, maybe photon or neutrino?
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Field objects moving at the speed of light, maybe photon or neutrino?
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compuAI
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Re: Field objects moving at the speed of light, maybe photon or neutrino?
«
Reply #20 on:
13/10/2022 18:50:31 »
Quote from: paul cotter on 13/10/2022 15:53:55
∇ΧE=-μ ∂H/∂t
Mathematically it is correct. With some remarks:
1. At the "pure field" level, where fields are not produced forcefully by motions of macroscopic objects, ∂H/∂t is the consequence, ∇ΧE is the cause, not vice versa, according to the principles of locality and causality.
2. H (or B) is not fundamental field, but vector potential A. We can also find some law how changes ∇·A with the time, as we did with curl (H or B).
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Last Edit: 13/10/2022 19:02:09 by
compuAI
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paul cotter
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Re: Field objects moving at the speed of light, maybe photon or neutrino?
«
Reply #21 on:
13/10/2022 19:34:14 »
∇•A=-εμ∂V/∂t
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compuAI
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Re: Field objects moving at the speed of light, maybe photon or neutrino?
«
Reply #22 on:
14/10/2022 07:17:30 »
Quote from: paul cotter on 13/10/2022 19:34:14
∇•A=-εμ∂V/∂t
Exactly. At least in our Universe, as linear approximation.
In another hypothetical world can exist longitudinal waves mixed with transverse, instead of scalar potential:
H
= 1/μ0 · rot
A
d = 1/μ0 · div
A
∂
E
/∂t = 1/ε
0
· rot
H
- 1/ε
0
· grad d
∂
H
/∂t = - 1/μ
0
· rot
E
∂d/∂t = - 1/μ
0
· div
E
energy density u = ε
0
/2 · E
2
+ μ
0
/2 · H
2
+ μ
0
/2 · d
2
enerdy flux
S
= [
E
X
H
] + (
E
· d)
∂u/∂t = - div
S
Although I meant other thing:
∂/∂t (1/μ
0
· div
A
) = 1/μ
0
· div (∂
A
/∂t) = - 1/μ
0
· div
E
- 1/μ
0
· div grad a
«
Last Edit: 14/10/2022 16:33:31 by
compuAI
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