In General Relativity you have a metric tensor g like the Minkowski or the Schwarzschild metric. Such a metric has coordinates like for example x, y, z and t. From the metric you can for example calculate the local angle between the x and the y direction. Basically you go a step in dx and a step...
I would assume that the expansion of time in General relativity is in some sense similar to the angle between space and time. It is kind of there, but you can't measure it and you can just set it to some fixed value.
Hi all
I finished my PhD in condensed matter physics two years ago. At the end of my PhD I was committed on taking an industry job, and that's what I did. I had two jobs in software engineering, and they both sucked quite a bit. Turns out, I was happier in a science career after all. I would...
I guess it depends on the field. If you're going for something popular like solid state or quantum optics it's not very risky. You should become a good programmer it's even less risky because there's always money and research tasks for people who can simulate nasty stuff. For cosmology, particle...
If anything works for this kind of function at all, then its probably the residue theorem. But you need to turn it into a holomorphic function first (g(x) is not one).
Here's what I would expect is the biggest source of uncertainty:
Earth rotates around its own axis every 23h 56m 4.1s
The day is longer because the Earths move a bit further in its orbit around the Sun, so the Sun is at a slightly different angle on the next day. This adds 235.9 seconds to the...
Thermodynamics becomes really weird when gravitation is involved.
For example, a planet in thermal equilibrium with the universe will be warmer at the center, because of the gravitational energy shift of photons.
Then there are black holes, which have a negative heat capacity. That does not...
As others have said, it is difficult to have an impact on the conductivity from electron-electron scattering. But electron-electron interaction can turn materials which should be metallic into Mott insulators:
https://en.wikipedia.org/wiki/Mott_insulator
In this case, you have an extremely...
What makes and breaks time is the ordering of events into past, present and future. An ordering relation only exists in 1D space. A two-dimensional time would therefore be hardly recognizable as the thing we call "time".
Hard to estimate. This stuff would mostly be neutrons in high momentum quantum states, so it would immediately blow apart. In space, it would just remain neutrons that will later decay into protons and electrons. In air or even water, the interaction of the neutrons with the medium would heat it...
Here's a simple approach:
Approximate the function by a simpler function at the singularity, which you can integrate analytically.
Integrate the singularity. Then integrate all the rest with your favorite numerical method.
Even if a nuclear bomb would expose a few fresh km² of limestone and there's no nuclear winter because we'd only be nuking a few mountains - I think the radionucleides that are created in the process would become a problem long before a significant amount of CO2 is removed from the atmosphere.