Recent content by sergiokapone

Well, look, if I don't use generalized functions, how can I find a solution to a differential equation? I have to involve boundary conditions, which are derived from the integral theorem. Here's what I don't understand.

So then it goes like this: the differential form makes sense only when charge is distributed in space with finite density $\rho$. If $\rho$ goes to infinity at individual points, on lines or surfaces, the differential form becomes inapplicable, whereas the integral form is applicable in such...

Well, what if we solve the equation for the ball right away: $$\nabla \cdot \vec E = \frac{Q}{4\varepsilon_0\pi R^2} \theta(R- r).$$ I can't get solution without condition of continuity of E_r on the boundary of r=R.

How?

Yes, but boundary conditions are derived from integral theorems, and are needed to solve differential equations. If we have symmetry and integral equations we will solve the problem, but if we have symmetry and differential equations we will not solve the problem, we need to know what will be on...

I have a question, is there some other fundamental difference in the integral and differential form of the field equations that is missed here and should have been mentioned?

I'll summarize. Thank you to everyone who responded and helped me.

According to Earth. That's where my gap is, relative to the ship, would that be a different distance?

Yes, I understand that by the ship's clock it will not be ##6## months, but what about the distance, it will be ##3## light months from the ship's point of view (or not?). What will the diagram look like?

The ship left Earth at a speed of 0.5c . When the distance between the ship and Earth was 0.25 light year, a terrorist was caught on Earth who said that he had planted a bomb at the time of departure and activated it for 10 months. At that moment, a warning signal was sent from Earth. The...

Is any physical explanation of this effect?

Well, if there were always Lissajous curves, then everything is fine. But sometimes closed curves are obtained, which are far from similar to such figures.

Is there a math that describes these shapes at least one frequency?

We get the following picture of the formation of inhomogeneities: Initially, all eternally existing fields (possibly fermionic-lepton-quark-DM-field and GUT-field) lived in a vacuum state --- no real particles (only virtual ones), just fluctuated (##\left\langle\Delta E\right\rangle = 0##...