Little 10 Toes
Master Poster
Thank you for only selecting a portion of the entry. Here's the section that you did not reference. Same entry, but listed under the "Varieties of zero-point energy":
The idea of zero-point energy occurs in a number of situations, and it is important to distinguish these, and note that there are many closely related concepts. In ordinary quantum mechanics, the zero-point energy is the energy associated with the ground state of the system. The most famous such example is the energy E=hw/2 associated with the ground state of the quantum harmonic oscillator. More precisely, the zero-point energy is the expectation value of the Hamiltonian of the system.
In quantum field theory, the fabric of space is visualized as consisting of fields, with the field at every point in space and time being a quantized simple harmonic oscillator, with neighboring oscillators interacting. In this case, one has a contribution of E=hw/2 from every point in space, resulting in a technically infinite zero-point energy. The zero-point energy is again the expectation value of the Hamiltonian; here, however, the phrase vacuum expectation value is more commonly used, and the energy is called the vacuum energy. In quantum perturbation theory, it is sometimes said that the contribution of one-loop and multi-loop Feynman diagrams to elementary particle propagators are the contribution of vacuum fluctuations or the zero-point energy to the particle masses."
To help prove that you know what you're talking about (I personally don't believe that) please explain that small paragraph to the Average Joe. And why haven't you shown your math?
The idea of zero-point energy occurs in a number of situations, and it is important to distinguish these, and note that there are many closely related concepts. In ordinary quantum mechanics, the zero-point energy is the energy associated with the ground state of the system. The most famous such example is the energy E=hw/2 associated with the ground state of the quantum harmonic oscillator. More precisely, the zero-point energy is the expectation value of the Hamiltonian of the system.
In quantum field theory, the fabric of space is visualized as consisting of fields, with the field at every point in space and time being a quantized simple harmonic oscillator, with neighboring oscillators interacting. In this case, one has a contribution of E=hw/2 from every point in space, resulting in a technically infinite zero-point energy. The zero-point energy is again the expectation value of the Hamiltonian; here, however, the phrase vacuum expectation value is more commonly used, and the energy is called the vacuum energy. In quantum perturbation theory, it is sometimes said that the contribution of one-loop and multi-loop Feynman diagrams to elementary particle propagators are the contribution of vacuum fluctuations or the zero-point energy to the particle masses."
To help prove that you know what you're talking about (I personally don't believe that) please explain that small paragraph to the Average Joe. And why haven't you shown your math?