Can Matter Really Have Negative Energy?

Click For Summary
SUMMARY

The discussion centers on the concept of negative energy in physics, particularly in relation to gravitational potential energy (GPE) and mass. It is established that GPE is defined as negative when measured from a reference point of zero energy at an infinite distance. The Positive Energy Theorem asserts that any particle with positive mass must possess positive energy, a principle that holds true in both classical mechanics and relativity. The conversation emphasizes the arbitrary nature of energy reference points in Newtonian physics compared to the absolute nature in relativity.

PREREQUISITES
  • Understanding of gravitational potential energy (GPE)
  • Familiarity with classical mechanics concepts
  • Knowledge of the Schrödinger equation in quantum mechanics
  • Awareness of the Positive Energy Theorem
NEXT STEPS
  • Research the implications of the Positive Energy Theorem in modern physics
  • Study gravitational potential energy calculations in various contexts
  • Explore the differences between classical mechanics and relativity regarding energy reference points
  • Examine the role of potential energy in quantum mechanics, particularly in atomic models
USEFUL FOR

Students of physics, educators in classical mechanics and relativity, and researchers exploring the foundations of energy concepts in theoretical physics.

nouveau_riche
Messages
253
Reaction score
0
can a matter have negative energy?
or more appropriately what makes some energy as negative?
 
Physics news on Phys.org
It just depends on what your reference point is. For example, as it is convention to have gravitational potential energy at an infinite distance away to be 0 joules, our calculations show GPE to be negative.
 
Bloodthunder said:
It just depends on what your reference point is. For example, as it is convention to have gravitational potential energy at an infinite distance away to be 0 joules, our calculations show GPE to be negative.

isn't that anything that has positive mass have positive energy?
i am not certain on that
 
nouveau_riche said:
isn't that anything that has positive mass have positive energy?
i am not certain on that

I think you need to step back and learn a bit more on classical mechanics.

One can easily see that, for example, in attractive energies (example: gravitational potential), it is DEFINED that zero is at infinity, and that the gravitational potential well is defined as being negative!

The same can be said about the potential that an electron has in an atom (look at the potential energy term in the Schrödinger equation).

So you need to learn a bit more of what we mean by negative energy, and why it is rather arbitrary in some sense.

Zz.
 
isn't that anything that has positive mass have positive energy?
i am not certain on that
nouveau_riche, You are absolutely correct, and this is not a trivial issue, as several responses have implied. It's true that in Newtonian physics the zero point of energy is arbitrary. You can define it to be the energy that a particle has as infinity, or you can define it to be the energy it has at the Earth's surface, as you like. But in relativity this is not the case. In relativity the zero point of energy is absolute. A particle's gravitational potential energy is negative but can never exceed its rest mass, and so the sum is always positive.

The statement you made, "anything that has positive mass must have positive energy" is known as the Positive Energy Theorem or Positive Mass Conjecture, and has been proved under rather general assumptions. See the Wikipedia article http://en.wikipedia.org/wiki/Positive_energy_theorem, or google Positive Energy Theorem and you will find many references to it.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
Replies
15
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
39K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K