Scientists Discuss Mysteries of Vacuums

  • Thread starter Thread starter darkchild
  • Start date Start date
AI Thread Summary
Scientists discuss vacuums as theoretical constructs to simplify complex physical problems, similar to concepts like frictionless planes and massless pulleys. While no perfect vacuum exists, these simplifications allow for meaningful problem-solving in physics. The speed of light is a prime example, as its fixed value is only applicable in a vacuum, necessitating adjustments in real-world measurements. The absence of a true vacuum means that experimental data must be extrapolated to approximate ideal conditions. This highlights the importance of understanding theoretical frameworks in scientific discussions.
darkchild
Messages
153
Reaction score
0
Why do scientists say that certain conditions hold in a vacuum despite the fact that no vacuums exist or are known to have ever existed?
 
Physics news on Phys.org
The same reason we talk about frictionless planes, stretchless ropes, massless pulleys...
 
Vanadium 50 said:
The same reason we talk about frictionless planes, stretchless ropes, massless pulleys...

Interesting. I'd never thought about it that way before. I remember working on those introductory physics problems in which we were supposed to ignore things like rope mass and surface friction and thinking, 'oh, they're just leaving things out to make the problem easier for beginning physics students.'
When it came to statements about x or y being true in a vacuum, I thought, 'oh, this is just some random assumption.' Now I see that both reflections are true in both situations: both the ideas about phenomena in vacuums and the massless ropes etc. are simplifications, and the act of solving problems with those simplifications is based on the assumption that we can meaningfully and accurately solve problems involving physical conditions that we do not and cannot have experience with.
 
It's easier to create a hard (although not perfect) vacuum than it is to create a nearly massless rope or nearly frictionless mechanism.
 
There is something more.

Take for instance the speed of light.
By now we know it has a fixed value, but only in vacuum!

Whenever we do a measurement, we will find another value, since real vacuum does not exist.
To compensate, a number of measurements have to be made.
Then the lack of real vacuum has to be taken into consideration, meaning the measurements need to be extrapolated to the point where we would have a perfect vacuum.
 
Thread 'Gauss' law seems to imply instantaneous electric field propagation'
Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire. We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges. By using the Lorenz gauge condition: $$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$ we find the following retarded solutions to the Maxwell equations If we assume that...
Maxwell’s equations imply the following wave equation for the electric field $$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2} = \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$ I wonder if eqn.##(1)## can be split into the following transverse part $$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2} = \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$ and longitudinal part...
Thread 'Recovering Hamilton's Equations from Poisson brackets'
The issue : Let me start by copying and pasting the relevant passage from the text, thanks to modern day methods of computing. The trouble is, in equation (4.79), it completely ignores the partial derivative of ##q_i## with respect to time, i.e. it puts ##\partial q_i/\partial t=0##. But ##q_i## is a dynamical variable of ##t##, or ##q_i(t)##. In the derivation of Hamilton's equations from the Hamiltonian, viz. ##H = p_i \dot q_i-L##, nowhere did we assume that ##\partial q_i/\partial...
Back
Top