When the magnetic field of the EM wave in free space is specified, can we determine the electric field precisely with maxwell's equations?

$$\mathbf{E} = c^2 \int ( \nabla \times \mathbf{B}) \mathrm d t$$

I mean, how should one deal with the integration constants in the case of free space?

@MoreAnonymous I agree with what By Symmetry wrote in their answer

but it might be helpful if you could expand on "I see no problem in $⟨\bar H⟩_t$ but am worried in $⟨\bar H^2⟩_t$"

TIL Jim Simons (of Chern-Simons fame) is worth over $25 billion

@NiharKarve The claim seems to be I have $2$ equivalent ways of perturbing the Hamiltonian. Let one be $H'$ and the other be $H''$. Is $\langle \bar H'^2 \rangle = \langle \bar H'' \rangle $ the same? Because ultimately I have the same system and how I model it should not give me a different uncertainty principle

Sorry it should be $\langle \bar H'^2 \rangle = \langle \bar H''^2 \rangle$

Tired: Only 5% of the energy content in the universe is ordinary matter, the rest is dark matter/energy. Wired: Only 7% of the fish content in the oceans is known upper-layer fish, the rest are dark fish.

Is there a minimum of reputation you need to start a bounty?

@AstroFedale 75

:58432485 yes, the minimum bounty is 50 (but why are you now another user?)

@ACuriousMind I recovered my mail and my old profile now. I did a new one to ask that question

I couldn't find the old mail I used to get this old profile which has enough reputation to ask a bounty

@RenatoRenatoRenato Ah, okay. If you want to merge your accounts, you can use the contact form to ask SE to merge the accounts so all posts and rep are under a single account

I will wait to reach 75 in the new profile before asking the bounty anyway

ah ok I didn't know that, thanks i check it

(they have to do that manually so it can take a bit)

Done the request, thank you

I'll wait for the mail and the procedure to go on

I received the mail to confirm that I'm the owner of both only in the other account, is it normal?

yeah, they have to make sure that you really are the same person behind both accounts

merging two accounts that actually belonged to different people would be rather unfortunate because it's not reversible

Thank you

ah...hm, I guess since you requested it while logged into the other account they count that as confirmation?

I'm just a mod, not an SE employee, I don't know what they really do when you use the Contact form

or maybe your spam filter ate the mail to the other account?

@ACuriousMind Yea I guess the same, it should count. Even though it said I'd be receiving one e-mail for each account, but it's probably redundant

@ACuriousMind nope spam is empty, but it's probably like you said

so hot.

There have been some hot debates on meta the past couple of days. How exciting; something else to use for procrastination :P

there is no cooler nor electric fan in office or dorm and it's 31 degrees Celsius. I wonder how people here work is such hot weather.

it's thundering outside but it's so hot inside.