Is Dark Energy the Same as Vacuum Energy?

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SUMMARY

The discussion centers on the relationship between dark energy and vacuum energy, specifically whether they are the same phenomenon. Dark energy is identified as the force opposing gravity, leading to the accelerated expansion of the Universe, while vacuum energy, observable through the Casimir effect, represents the energy of "empty space" at its ground state. A significant discrepancy exists between the calculated values of dark energy (10-9 joules per cubic meter) and vacuum energy (at least 10113 joules per cubic meter), indicating a fundamental misunderstanding in their connection. The discussion highlights the role of vacuum energy in understanding the cosmological constant and its implications in general relativity.

PREREQUISITES
  • Understanding of dark energy and its role in cosmology
  • Familiarity with vacuum energy and the Casimir effect
  • Basic knowledge of quantum mechanics and quantum electrodynamics
  • Comprehension of general relativity and its equations
NEXT STEPS
  • Research the implications of the cosmological constant in modern cosmology
  • Study the Casimir effect and its relevance to vacuum energy
  • Examine the discrepancies in vacuum energy calculations in quantum electrodynamics
  • Explore alternative theories explaining dark energy beyond vacuum energy
USEFUL FOR

Astronomers, physicists, and students of cosmology interested in the fundamental forces of the Universe and the ongoing debates surrounding dark energy and vacuum energy.

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Dark energy = Vacuum energy?

I am working on giving a presentation on dark energy and its possible relation to vacuum energy (i.e. one and the same). I have complied information from a couple of books, as well as websites (Scientific American, NASA, Astrophysical Journal). As i understand, dark energy is this force which opposes gravity, causing the Universe to expand at an accelerated rate. I guess my blunder lies in attempting to connect the implications of dark energy to vacuum-energy (zero-point energy). What i gather, vacuum energy can be observed via the Casimir effect. I also understand that this vacuum energy describes "empty space" to have a ground state. How are these two creatures (i.e. dark energy and vacuum energy) related? Any insight is appreciated, and a preemptive thank you to whomever can shed any light on this matter.
 
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It was hoped that calculating vacuum energy in quantum mechanics would give the exact value of dark energy, and that they were the same thing. The cosmological constant (dark energy) has a value of 10-9 joules per cubic meter of free space. However, quantum electrodynamics, because of Planck's constant, requires it to be valued at least a whopping 10113 joules per cubic meter! This is an enormous disagreement, and no one has been able to see why the calculations vary so dramatically.

It does, however, seem that vacuum energy in quantum mechanics should play a role in our understanding of the cosmological constant. In general relativity, the gravitational force is proportional to \rho-3p, where \rho is energy density, and p is pressure. Since \rho must be equal to p for vacuum energy (since density would remain constant), this leads to a negative gravitational field - what is needed to drive acceleration as dark energy does.
 

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