Vacuum in Quantum Field theory is not empty

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Discussion Overview

The discussion revolves around the nature of the vacuum in Quantum Field Theory (QFT) and whether it can be considered "empty" or "nothing." Participants explore concepts such as pair production, fluctuations due to the Heisenberg Uncertainty Principle, and the implications of the vacuum state in QFT, touching on both physical and philosophical aspects.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Philosophical

Main Points Raised

  • Some participants argue that the vacuum in QFT is not "nothing" but a dynamic system where particle-antiparticle pairs can be created, referencing phenomena like the Casimir Effect.
  • Others clarify that particles are created from energy during pair production, not from "nothing," emphasizing that the vacuum state is defined as the lowest energy state in QFT.
  • A participant notes that the vacuum state |0⟩ is a no-particle state, while the physical vacuum |vac⟩ and one-particle states |one⟩ are considered true eigenvectors of the Hamiltonian, complicating the understanding of vacuum and particles.
  • There is mention of the historical development of the concept of "dressed" particles, which suggests that the vacuum does not contain physical particles, challenging the common notion that it is filled with virtual particles.
  • Some participants express uncertainty about the philosophical implications of calling the QFT vacuum "nothing," suggesting it may lead to deeper questions beyond physics.
  • Questions are raised about the relationship between the vacuum and concepts like electroweak symmetry breaking, indicating a need for clarification on the definitions used in different contexts.
  • One participant proposes the idea that the fabric of space-time could be transforming into virtual particles, but this is met with skepticism regarding the physical relevance of such a notion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the QFT vacuum can be considered "nothing." There are multiple competing views regarding the nature of the vacuum, the existence of virtual particles, and the implications of these concepts in both physical and philosophical contexts.

Contextual Notes

Participants highlight the complexity of defining the vacuum in QFT, noting that it is often described using mathematical constructs that may not correspond directly to observable phenomena. The discussion reflects the challenges in reconciling theoretical frameworks with physical intuition.

  • #31
Nick666 said:
Is space similar to an empty set in math ?

No. Space is like R^3 the set of all ordered triples of real numbers.
 
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  • #32
And the real numbers corespond to what?
 
  • #33
points in space.
 
  • #34
And the points corespond to ?
 
  • #35
Nick666 said:
And the points corespond to ?


In my opinion, we need to distinguish two things: "vacuum" and "position space".

Vacuum (or "empty space") is an example of a physical system from which all particles has been removed. It is simply a no-particle physical system. So, vacuum is somewhat analogous to the "empty set"

Position space is a linear 3-dimensional space R^3 which is a common set of eigenvalues of three commuting components of the position operator. Points in this space enumerate possible values that can be obtained by measuring the observable called "position". Position-space wavefunctions are defined on this space. This is an abstract space, similar to the momentum space or any other common set of eigenvalues of commuting operators in quantum mechanics.

Eugene.
 
Last edited:
  • #36
Nick666 said:
And the points corespond to ?

The ordered triples of real numbers.
 

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