Negative Mass
students.tools
students.tools
There are some things with an negative effective mass, for example some electrons inside a semiconductor. It's easier to think about them as holes with a positive effective mass. More details https://en.wikipedia.org/wiki/Effective_mass_(solid-state_ph...
Anyway, the part in the site about friction is wrong. For example, holes inside semiconductors slow down and follow the conservation of energy law (it's not friction, but it's close enough). They don't get faster and faster like in the simulation. The weird behavior of the simulation is not realistic.
Edit: Now I realized that while the gravitational force will act in the opposite direction, it will cause acceleration in the same direction because… negative mass. So these two things are not wrong.
Like what?
When they were filled with air they exterted an upward force on the spring? Why!? And then when the air was removed, the force was downward? By "air" did the author mean "helium" or something? Or are we underwater or on Venus or something?
Also the meaning of "release" was poorly defined. Like... just draw me a free body diagram so I can tell what you're trying to say.
And what's in the balloon, to explain the forces?
When I was an undergraduate I tried to develop a coordinate system for mass, where the center of mass of the universe was the origin, and the axes where the three fundamental forces. Then I found out from a professor that John Wheeler, who was very much alive at that time, had attempted it and I kinda gave up after that.
Later, in graduate school I learned about Wheelers geometrodynamics ("mass without mass"). Talk about paradoxes. I don't know how you resolve all of those paradoxes. I'm guessing that is why he gave up.
If negative mass were confirmed it would be a seismic shift in physics. I'm getting old, and don't keep up anymore. Let me know if it was confirmed, or what other research has been done to substantiate the idea.
That’s very different than having a negative actual mass.
https://en.wikipedia.org/wiki/Laser
https://en.wikipedia.org/wiki/Population_inversion
https://en.wikipedia.org/wiki/Negative_temperature#Lasers
(Negative thermodynamic temperature has very unintuitive effects in general, so maybe read all of the last article to get an idea)
You can also have a negative temperature even on absolute scales.
I.e. A temperature that is below absolute zero, although it is hotter than positive temperatures.
- make observations of a phenomenon
- derive formulas that allow further observations to be predicted
- all observations are positive numbers
- apply negative numbers to the formulas and the outputs still seem to reconcile with our models
?
I wonder if it’s using some derived equation for the motion of the planets (re: their orbit) that assumes positive mass, so that part of the simulation understands negative mass but part does not?
That rather depends on what you mean. The usual effect of increasing speed in a circular orbit at any given moment is to change it to an elliptical orbit, where the apoapsis is further away from the center of gravity and the object in question moves slower. And if you increase speed again at the apoapsis, you can make the orbit circular again, but the object will be moving much slower than it was to start. Thus two accelerations, both prograde, have the net effect of substantially reducing the prograde speed.
For any given circular orbit, though, lower means faster.
As other people have pointed out, that's inconsistent with other aspects of the simulation, and maybe just means that the author happened to use two equations involving mass in the simulation and the two negative signs cancelled each other out. Whereas using an odd number of equations involving mass would cause a physically noticeable different result.
I actually wonder if one could derive an explicit contradiction in Newtonian dynamics by allowing negative masses. That is, show that there is no trajectory that actually satisfies all of the equations in this case. (But that might also depend on which equations we think are fundamental. E.g., if we break conservation of energy, is that just an interesting consequence that that law doesn't apply anymore, or is that a contradiction?)