HomeScience GlossaryDark Energy Theoretical Models: How Physicists Explain the Accelerating Universe

Dark Energy Theoretical Models: How Physicists Explain the Accelerating Universe

Dark energy theoretical models are the mathematical frameworks cosmologists use to explain why the expansion of the universe is accelerating, driven by a form of energy composing roughly 68% of the cosmos.

Share
Science Glossary · Explore this series
March 21, 2026
Key Takeaways
  • Dark energy drives the accelerating expansion of the universe.
  • The cosmological constant is the simplest model, but DESI data suggests dark energy evolves.
  • Quintessence, phantom energy, and modified gravity offer competing explanations.

Dark energy theoretical models are the mathematical frameworks cosmologists use to explain why the expansion of the universe is accelerating, a phenomenon driven by a form of energy that makes up roughly 68% of the total energy content of the cosmos.

Why It Matters

The discovery that the universe is expanding faster over time, not slower, ranks among the most unexpected findings in modern physics. In 1998, two independent teams studying Type Ia supernovae (the Supernova Cosmology Project and the High-Z Supernova Search Team) found that distant supernovae were fainter than expected, meaning the expansion of the universe was speeding up rather than decelerating under gravity. Saul Perlmutter, Brian Schmidt, and Adam Riess shared the 2011 Nobel Prize in Physics for this discovery.

Key figure

68%

Share of the universe's total energy content attributed to dark energy (Planck 2018)

The theoretical models built to explain this acceleration shape how physicists understand the past, present, and future of the cosmos. They also connect to some of the deepest open questions in physics, from the nature of vacuum energy to whether general relativity needs modification at the largest scales. Science Reader has covered several of these developments, including evidence that dark energy may be weakening based on DESI, DES, and South Pole Telescope data, and the debate over whether cosmic acceleration is even real.

How It Works

All dark energy models center on the equation of state parameter, written as w, which describes the ratio of dark energy's pressure to its energy density. The value of w determines how dark energy behaves over cosmic time.

The cosmological constant is the simplest model. Albert Einstein originally introduced it in 1917 to keep his equations consistent with a static universe, then abandoned it after Edwin Hubble showed the universe was expanding. The cosmological constant returned when the 1998 supernova data demanded an explanation. In this model, w equals exactly -1 at all times: dark energy is a fixed property of space itself, unchanging as the universe expands. The Lambda-CDM model, built on this assumption, has served as the standard model of cosmology for over two decades.

Quintessence models propose that dark energy is not constant but dynamic, carried by a scalar field that evolves over time. In these models, w is greater than -1 and can change as the universe ages. The name borrows from the classical "fifth element," reflecting the idea of a substance distinct from ordinary matter, dark matter, radiation, and curvature.

Key figure

4.2σ

Statistical significance of DESI evidence for evolving dark energy (2025)

Phantom energy models take the opposite approach: w falls below -1, meaning dark energy grows denser as space expands. If sustained, this leads to a "Big Rip" scenario in which the expansion eventually tears apart galaxies, stars, and even atoms.

Modified gravity theories sidestep dark energy entirely. Instead of adding a new energy component, these models adjust the equations of general relativity at cosmological scales, proposing that gravity itself behaves differently across vast distances.

Key Context

In March 2025, the Dark Energy Spectroscopic Instrument (DESI) collaboration reported evidence at 2.8 to 4.2 sigma confidence (depending on the supernova dataset used) that dark energy is evolving over time, with its density slowly decreasing. This result, drawn from baryon acoustic oscillation measurements combined with CMB and supernova data, disfavors a pure cosmological constant. If confirmed at 5 sigma (the standard discovery threshold in physics), it would overturn the Lambda-CDM model's core assumption and point toward quintessence or a related dynamical model.

The Planck satellite's 2018 measurements of the cosmic microwave background established that dark energy accounts for 68.3% of the universe's total energy budget, dark matter for 26.8%, and ordinary matter for just 4.9%. These proportions remain the benchmark against which all dark energy models are tested.

FAQ

What is the difference between dark energy and dark matter?

Dark matter is a form of matter that interacts gravitationally but does not emit or absorb light. It clumps around galaxies and galaxy clusters, providing extra gravitational pull needed to explain their rotation curves. Dark energy operates on a completely different scale: it acts uniformly across all of space and drives the universe apart rather than pulling it together. The two share the word "dark" because neither has been directly detected, but they are fundamentally different phenomena.

Is the cosmological constant the same as vacuum energy?

The cosmological constant and quantum vacuum energy are conceptually related but numerically incompatible. Quantum field theory predicts that empty space should have enormous energy density from virtual particle fluctuations. The observed value of the cosmological constant is roughly 10^120 times smaller than this prediction, a discrepancy sometimes called the worst prediction in physics and one of the biggest unsolved problems in theoretical physics.

Could dark energy cause the universe to end?

It depends on the model. If dark energy follows the cosmological constant (w = -1), the universe expands forever at an accelerating rate, growing colder and emptier. If w drops below -1 (phantom energy), the expansion accelerates without limit, eventually ripping apart all structure in a Big Rip. Recent DESI data suggesting w may be changing over time has revived interest in a third possibility: a Big Crunch in which dark energy eventually reverses and the universe recollapses.

Why can't we detect dark energy directly?

Dark energy's density is extraordinarily low, roughly 6 x 10^-10 joules per cubic meter. Its effects only become apparent at distances of hundreds of millions of light-years, where the cumulative expansion of space is measurable. At laboratory or even solar system scales, dark energy is completely overwhelmed by gravity and other forces.

Related Reading

The Cosmology Crisis Just Got Even Worse
Dark Energy Is Weakening. Three Experiments Now Agree.
How does the expansion rate of the Universe change with time? | DESI 1 year results
Baryon Acoustic Oscillations: DESI's Evidence for Changing Dark Energy
Image showing galaxies and supernovae.
Dark Energy Survey: Dark Energy may be a Constant of Nature
Dark Matter Detection Techniques
Dark Matter Detection: How Physicists Hunt the Invisible

Sources

Fact Check: Claim-by-Claim Verification Verified

All core claims verified against primary sources. The 1998 supernova discovery, 2011 Nobel Prize details, Planck 2018 composition figures, DESI 2025 significance levels, and the cosmological constant problem (10^120 discrepancy) are all well-supported.

1 Supported
Dark energy makes up ~68% of the universe's energy content
Planck 2018 results give 68.3%. Confirmed by NASA and ESA Planck data.
2 Supported
Perlmutter, Schmidt, and Riess shared the 2011 Nobel Prize in Physics
Confirmed by NobelPrize.org. Half to Perlmutter, half jointly to Schmidt and Riess.
3 Supported
DESI reported 2.8-4.2 sigma evidence for evolving dark energy in March 2025
DESI DR2 results confirm significance of 2.8-4.2 sigma depending on supernova dataset. Confirmed by DESI collaboration.
4 Supported
Vacuum energy prediction is ~10^120 times larger than observed cosmological constant
Known as the cosmological constant problem or vacuum catastrophe. Confirmed by multiple sources including Scientific American.
5 Supported
Einstein introduced the cosmological constant in 1917
Standard physics history, confirmed by multiple sources.
6 Supported
Dark energy density is ~6 x 10^-10 joules per cubic meter
Consistent with standard estimates from Planck data and the PDG review.

Sources used for verification

Share
Related Articles
AI In Science Connects the Dots, But Only In Fields That Are Fragmented

An analysis of 80 million papers shows AI boosts originality where knowledge is scattered and connections are weak, but contributes little novelty in structured science.

"Keep Humanity Safe From AI," Urges Pope Leo XIV

Pope Leo XIV's first encyclical reaches the same verdict on AI as the labs building it, then parts ways over the meaning of human limits.

AI Solves Erdős Math Problem: What's Next for AI in Mathematics?

An AI solved an 80-year-old Erdős math problem by walking a path mathematicians had collectively avoided.

Is AI Making You Dumber? Not If You Challenge It

Cognitive debt is the cost of letting AI think for you. New research shows the difference between healthy and harmful AI use comes down to one habit.