Some form of missing energy may account for the difference between the observed cosmic matter density and the critical density. Two leading candidates are a cosmological constant and quintessence (a time-varying, inhomogenous component with negative pressure). We show that an ideal, full-sky cosmic background anisotropy experiment may not be able to distinguish the two and, due to this ambiguity, may not determine the matter density or Hubble constant. We further show that degeneracy may remain even after considering classical cosmological tests and measurements of large scale structure.This paper looks ahead a few years to a time when highly precise, full-sky maps of the cosmic microwave background (CMB) anisotropy become available from satellite experiments such as the NASA Microwave Anisotropy Probe (MAP) and the ESA Planck mission. The goal is to determine if measurements of the anisotropy by itself or combined with other cosmological constraints can resolve between competing models for the "missing energy" of the universe. The missing energy problem arises because inflationary cosmology and some current microwave anisotropy measurements suggest that the universe is flat at the same that a growing number of observations indicate that the matter density (baryonic and nonbaryonic) is below the critical density (Ω m < 1). These two trends can be reconciled if there is another contribution to the energy density of the universe besides matter. One candidate for the missing energy is a vacuum density or cosmological constant (Λ).1 A second candidate is quintessence, a time-varying, spatially inhomogeneous component with negative pressure.2 Both models fit all current observations well.
1, 3If current observational trends continue, determining the nature of the missing energy will emerge as one of cosmology's most important challenges. The issue must be decided in order to understand the energy composition of the universe. Also, as shown below, ambiguity concerning the missing energy leads to large uncertainties in two key parameters: Ω m and h (the Hubble constant in units of 100 km sec −1 Mpc −1 ). In this Letter, we show that, despite extraordinary advances in measurements of the CMB anisotropy and large-scale structure anticipated in the near future, the missing energy problem and, consequently Ω m and h, may remain unresolved in some circumstances.The key differences between quintessence and vacuum density are: (1) quintessence has an equation-of-state w (equal to the ratio of pressure to energy density) greater than −1, whereas vacuum density has w precisely equal to −1; (2) the energy density for quintessence varies with time whereas the vacuum density is constant; and (3), quintessence is spatially inhomogeneous and can cluster gravitationally, whereas vacuum density remains spatially uniform. The first two properties result in different predictions for the expansion rate. The third property results in a direct imprint of quintessence fluctuations on the CMB and large scale structure.For the purposes of thi...