In
physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which rel ...
, quintessence is a
hypothetical
A hypothesis (plural hypotheses) is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous obser ...
form of
dark energy
In physical cosmology and astronomy, dark energy is an unknown form of energy that affects the universe on the largest scales. The first observational evidence for its existence came from measurements of supernovas, which showed that the unive ...
, more precisely a
scalar field
In mathematics and physics, a scalar field is a function associating a single number to every point in a space – possibly physical space. The scalar may either be a pure mathematical number ( dimensionless) or a scalar physical quantit ...
, postulated as an explanation of the observation of an
accelerating rate of expansion of the universe. The first example of this scenario was proposed by
Ratra and
Peebles
Peebles ( gd, Na Pùballan) is a town in the Scottish Borders, Scotland. It was historically a royal burgh and the county town of Peeblesshire. According to the 2011 census, the population was 8,376 and the estimated population in June 2018 wa ...
(1988)
and
Wetterich (1988). The concept was expanded to more general types of time-varying dark energy, and the term "quintessence" was first introduced in a 1998 paper by
Robert R. Caldwell
Robert R. Caldwell is an American theoretical physicist and professor of physics and astronomy at Dartmouth College. His research interests include cosmology and gravitation. He is known primarily for his work on theories of cosmic acceleration ...
, Rahul Dave and
Paul Steinhardt
Paul Joseph Steinhardt (born December 25, 1952) is an American theoretical physicist whose principal research is in cosmology and condensed matter physics. He is currently the Albert Einstein Professor in Science at Princeton University, where h ...
.
It has been proposed by some physicists to be a
fifth fundamental force. Quintessence differs from the
cosmological constant
In cosmology, the cosmological constant (usually denoted by the Greek capital letter lambda: ), alternatively called Einstein's cosmological constant,
is the constant coefficient of a term that Albert Einstein temporarily added to his field eq ...
explanation of dark energy in that it is dynamic; that is, it changes over time, unlike the cosmological constant which, by definition, does not change. Quintessence can be either attractive or repulsive depending on the ratio of its kinetic and potential energy. Those working with this postulate believe that quintessence became repulsive about ten billion years ago, about 3.5 billion years after the
Big Bang
The Big Bang event is a physical theory that describes how the universe expanded from an initial state of high density and temperature. Various cosmological models of the Big Bang explain the evolution of the observable universe from t ...
.
A group of researchers argued in 2021 that observations of the
Hubble tension may imply that only quintessence models with a nonzero
coupling constant
In physics, a coupling constant or gauge coupling parameter (or, more simply, a coupling), is a number that determines the strength of the force exerted in an interaction. Originally, the coupling constant related the force acting between two ...
are viable.
Terminology
The name comes from ''quinta essentia'' (fifth element). So called in Latin starting from the Middle Ages, this was the (first) element added by
Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical Greece, Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatet ...
to the other four ancient
classical elements
Classical elements typically refer to earth, water, air, fire, and (later) aether which were proposed to explain the nature and complexity of all matter in terms of simpler substances. Ancient cultures in Greece, Tibet, and India had sim ...
because he thought it was the essence of the celestial world. Aristotle posited to be a pure, fine, and primigenial element. Later scholars identified this element with
''aether''. Similarly, modern quintessence would be the fifth known "dynamical, time-dependent, and spatially inhomogeneous" contribution to the overall mass–energy content of the universe.
Of course, the other four components are not the
ancient Greek classical elements, but rather "
baryons,
neutrinos
A neutrino ( ; denoted by the Greek letter ) is a fermion (an elementary particle with spin of ) that interacts only via the weak interaction and gravity. The neutrino is so named because it is electrically neutral and because its rest mass ...
,
dark matter
Dark matter is a hypothetical form of matter thought to account for approximately 85% of the matter in the universe. Dark matter is called "dark" because it does not appear to interact with the electromagnetic field, which means it does not ab ...
,
ndradiation
In physics, radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium. This includes:
* ''electromagnetic radiation'', such as radio waves, microwaves, infrared, vi ...
." Although neutrinos are sometimes considered radiation, the term "radiation" in this context is only used to refer to massless
photons. Spatial curvature of the cosmos (which has not been detected) is excluded because it is non-dynamical and homogeneous; the cosmological constant would not be considered a fifth component in this sense, because it is non-dynamical, homogeneous, and time-independent.
Scalar field
Quintessence (''Q'') is a
scalar field
In mathematics and physics, a scalar field is a function associating a single number to every point in a space – possibly physical space. The scalar may either be a pure mathematical number ( dimensionless) or a scalar physical quantit ...
with an
equation of state
In physics, chemistry, and thermodynamics, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or intern ...
where ''w''
''q'', the ratio of pressure ''p''
''q'' and density
''q'', is given by the potential energy
and a kinetic term:
:
Hence, quintessence is dynamic, and generally has a density and ''w''
''q'' parameter that varies with time. By contrast, a cosmological constant is static, with a fixed
energy density
In physics, energy density is the amount of energy stored in a given system or region of space per unit volume. It is sometimes confused with energy per unit mass which is properly called specific energy or .
Often only the ''useful'' or ex ...
and ''w''
''q'' = −1.
Tracker behavior
Many models of quintessence have a ''tracker'' behavior, which according to Ratra and Peebles (1988) and
Paul Steinhardt
Paul Joseph Steinhardt (born December 25, 1952) is an American theoretical physicist whose principal research is in cosmology and condensed matter physics. He is currently the Albert Einstein Professor in Science at Princeton University, where h ...
''et al.'' (1999) partly solves the
cosmological constant problem
In cosmology, the cosmological constant problem or vacuum catastrophe is the disagreement between the observed values of vacuum energy density (the small value of the cosmological constant) and theoretical large value of zero-point energy sugges ...
.
In these models, the quintessence field has a density which closely tracks (but is less than) the radiation density until
matter-radiation equality, which triggers quintessence to start having characteristics similar to dark energy, eventually dominating the universe. This naturally sets the low
scale
Scale or scales may refer to:
Mathematics
* Scale (descriptive set theory), an object defined on a set of points
* Scale (ratio), the ratio of a linear dimension of a model to the corresponding dimension of the original
* Scale factor, a number ...
of the dark energy.
When comparing the predicted
expansion rate
Thermal expansion is the tendency of matter to change its shape, area, volume, and density in response to a change in temperature, usually not including phase transitions.
Temperature is a monotonic function of the average molecular kinetic ...
of the universe as given by the tracker solutions with cosmological data, a main feature of tracker solutions is that one needs four parameters to properly describe the behavior of their
equation of state
In physics, chemistry, and thermodynamics, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or intern ...
,
whereas it has been shown that at most a two-parameter model can optimally be constrained by mid-term future data (horizon 2015–2020).
Specific models
Some special cases of quintessence are
phantom energy, in which ''w''
''q'' < −1,
and k-essence (short for kinetic quintessence), which has a non-standard form of
kinetic energy
In physics, the kinetic energy of an object is the energy that it possesses due to its motion.
It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its a ...
. If this type of energy were to exist, it would cause a
big rip in the universe due to the growing energy density of dark energy, which would cause the expansion of the universe to increase at a faster-than-exponential rate.
Holographic dark energy
Holographic dark energy models, compared with cosmological constant models, imply a high
degeneracy.
It has been suggested that dark energy might originate from
quantum fluctuations
In quantum physics, a quantum fluctuation (also known as a vacuum state fluctuation or vacuum fluctuation) is the temporary random change in the amount of energy in a point in space, as prescribed by Werner Heisenberg's uncertainty principle. ...
of
spacetime
In physics, spacetime is a mathematical model that combines the three dimensions of space and one dimension of time into a single four-dimensional manifold. Spacetime diagrams can be used to visualize relativistic effects, such as why diffe ...
, and are limited by the event horizon of the universe.
Studies with quintessence dark energy found that it dominates gravitational collapse in a spacetime simulation, based on the holographic thermalization. These results show that the smaller the state parameter of quintessence is, the harder it is for the plasma to thermalize.
Quintom scenario
In 2004, when scientists fitted the evolution of dark energy with the cosmological data, they found that the equation of state had possibly crossed the cosmological constant boundary ( = –1) from above to below. A proven
no-go theorem indicates this situation, called the
Quintom scenario The Quintom scenario (derived from the words '' quintessence'' and ''phantom'', as in phantom energy) is a hypothetical model of dark energy.
Equation of State
In this scenario, the equation of state p = w\rho of the dark energy, relating its pres ...
, requires at least two degrees of freedom for dark energy models involving ideal gases or scalar fields.
See also
*
Aether (classical element)
According to ancient and medieval science, aether (, alternative spellings include ''æther'', ''aither'', and ''ether''), also known as the fifth element or quintessence, is the material that fills the region of the universe beyond the terres ...
References
Further reading
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