theory

lambda cdm

The standard model of cosmology, including a cosmological constant (Lambda) and cold dark matter.
64 related articles

Description

The Lambda-CDM model is the standard cosmological paradigm, describing a universe composed of about 5% ordinary matter, 27% cold dark matter (CDM), and 68% dark energy, represented by the cosmological constant Lambda. It successfully explains the observed accelerating expansion of the universe, the cosmic microwave background radiation, the large-scale structure of galaxies, and the abundances of light elements. Despite its success, the model leaves the fundamental nature of both dark matter and dark energy unresolved, making it a working hypothesis rather than a complete theory.

History

The model emerged in the late 1990s after two teams discovered the accelerating expansion of the universe via Type Ia supernovae, leading to the 2011 Nobel Prize in Physics. The 'Lambda' term was originally introduced by Einstein in 1917 as a fudge factor to keep the universe static, then abandoned, and later revived to explain acceleration.

How it works

The model is built on Einstein's general relativity, with the universe's evolution governed by the Friedmann equations. Cold dark matter is assumed to be a non-relativistic, weakly interacting particle that clumps gravitationally, providing the scaffolding for galaxy formation. Dark energy, modeled as a cosmological constant, exerts negative pressure, causing the universe's expansion to accelerate. The model's parameters are constrained by observations: the cosmic microwave background (from Planck satellite), supernova distances, baryon acoustic oscillations, and weak gravitational lensing.

In practice

Lambda-CDM is the basis for all modern cosmological simulations, such as the Millennium and Illustris simulations, which model galaxy formation and evolution, and it guides the design of surveys like Euclid and the Dark Energy Survey.

Fun fact

The cosmological constant Lambda is so small that its value, if interpreted as vacuum energy, is off by about 120 orders of magnitude from quantum field theory predictions — one of the biggest unsolved problems in physics.

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Related articles · 64

Cosmology2026-08-051 minarXiv:2608.04694express
The Cosmic Web: Fractals in the Architecture of the Universe
The night sky looks like a random scattering of stars. But zoom out to enormous distances, and the chaos disappears. Galaxies gather into long filaments and flat walls, with colossal voids gaping between them — cosmic voids. This structure is called the cosmic web.
Cosmology2026-07-292 minarXiv:2607.27515
Dark-Sector Seesaw: How a Scalar Spring Solves Cosmological Puzzles
In 1929, Edwin Hubble pointed his telescope at distant galaxies and discovered they were receding. Ninety years later, two measurements of this recession rate, from ancient light and from nearby stars, stubbornly disagree. A 9% discrepancy cannot be chalked up to error. It is as if the Universe in its youth and in its maturity runs on different clocks.
Cosmology2026-07-282 minarXiv:2607.26174express
The Dark Side of the Pendulum
The universe is a vast, dark ocean. We see only the glowing foam on its surface — stars and galaxies. But hidden in the depths are two invisible forces: dark matter, which with its gravity keeps galaxies from flying apart, and dark energy, which, on the contrary, pushes space itself apart, making the universe expand faster and faster.
Cosmology2026-07-272 minarXiv:2607.24742express
Weighing Neutrinos: How Much Does a Ghost Particle Weigh?
In 1998, physicists caught neutrinos doing something astonishing: the particle changes its type on the fly. That is only possible if it has mass. This became the only laboratory proof of physics beyond the Standard Model. But exactly how much a neutrino weighs remains a mystery.
General Relativity2026-07-242 minarXiv:2607.22802express
The Universe Disagrees with Itself
Cosmology has landed in an interesting pickle. The two main ways to look back into the universe's past, via the early glow (the cosmic microwave background) and via later objects like supernovae, yield different numbers for the expansion rate (the Hubble constant) and for how clumpy matter is distributed.
Cosmology2026-07-223 minarXiv:2607.19648
An Echo Born of Dark Energy
380 thousand years after the Big Bang, the universe cooled enough for light to decouple from plasma. That cosmic microwave background still pervades space, like the first chord of a symphony, the echo of a fiery beginning.
Cosmology2026-07-083 minarXiv:2607.06959
Cosmic Tuning Fork: KLT-Net Neural Network Rewrites the Distance Ladder
Modern cosmology has hit a dissonant chord. Local measurements of the Hubble constant from supernovae and Cepheids give around 73 km/s/Mpc, while global constraints from the cosmic microwave background within the standard ΛCDM model point to 67 km/s/Mpc.
HEP Theory2026-07-081 minarXiv:2607.07684express
Cosmic Dimmer: From a Sharp Drop to Smooth Light
The early universe expanded at a breakneck pace: this phase is called inflation. But how exactly did it do it? Some models describe the expansion as a steep exponential surge, others as a more gentle power-law motion.
Cosmology2026-07-072 minarXiv:2607.06735
Behind the Dark Matter Curtain: How Dark Energy Flipped Its Sign
The universe is a grand orchestra, with dark energy conducting the expansion. Ten billion years ago, the conductor changed its gesture: the negative pressure that had been holding back galaxy assembly gave way to accelerating expansion — the very phenomenon discovered by [scientist:Saul…
Cosmology2026-07-065 minarXiv:2607.05044
Symphony of Dark Energy: From Heavy Adagio to Explosive Allegro
A drama is brewing in cosmology: two principal musical instruments, the orchestra of the early Universe and the chamber ensemble of the modern cosmos, play the same symphony of expansion at different tempos.
General Relativity2026-07-051 minarXiv:2607.04291express
A Star with Negative Mass
In the ordinary world without dark energy, the mass of any object is always positive. That seems obvious: positive mass attracts, creating gravity. But the real universe has dark energy — a mysterious force making the cosmos expand faster and faster.
Cosmology2026-07-012 minarXiv:2607.01226
Dark Energy: When the Constant Stops Being Constant
The Universe is an orchestra playing the symphony of the Big Bang. For a long time, the conductor was thought to be dark energy — an unwavering metronome setting the pace of expansion.
General Relativity2026-06-291 minarXiv:2606.30818express
Black Holes Survived the Universe's Contraction
The universe hasn't always been expanding. In some models, it first contracted, nearly empty and flat, and then, upon reaching a limit, bounced back and started growing, like the world we know. This scenario is called bouncing cosmology.
Cosmology2026-06-291 minarXiv:2606.30903express
A Cosmic Compromise: One Number Settles Three Disputes
Cosmology is like an orchestra where different sections suddenly start playing out of sync. Measurements of the universe's expansion rate (the Hubble constant) from the early and late universe give different numbers.
math.GM2026-06-292 minarXiv:2607.01265
λ∞: The Tuning Fork for Prime Numbers
Strike a tuning fork. The frequency is 440 Hz. That's the note A — the standard of sound. In the world of numbers, there's a standard too. It's tuned not to sound, but to prime numbers. Though their distribution seems random, it obeys strict laws. All primes resonate together. There's just one value: λ∞ ≈ 0,674036.
Dark Energy Symphony: LHC Catches the Unheard Sound
In the late 1990s, the night sky delivered a surprise: Saul Perlmutter and Adam Riess found that the expansion of the Universe is accelerating. Ever since, the greatest riddle has been dark energy — a substance making up nearly 70% of the cosmos, yet evading laboratory study.
Cosmology2026-06-202 minarXiv:2606.22023express
Dark Secrets: When Energy Changes Sign
The cosmological kitchen is full of invisible ingredients. Dark matter, like an invisible scaffold, keeps galaxies from flying apart, while dark energy, like yeast in dough, makes space expand ever faster.
General Relativity2026-06-101 minarXiv:2606.12297express
Quantum Trick Accelerates the Universe Without Dark Energy
Since the end of the 20th century, we've known: the expansion of the Universe is accelerating — galaxies are flying apart faster and faster. The discovery brought a Nobel Prize to Adam Riess, Saul Perlmutter, and Brian Schmidt.
General Relativity2026-06-091 minarXiv:2606.11062express
Dark Energy: From Brake to Engine
The universe is expanding faster and faster thanks to dark energy. But measurements of the rate give contradictory results. A new explanation: in the past, dark energy acted as a brake, slowing the galaxies' recession, and then switched to acceleration. Like a car that first rolls backward and then lunges forward.
Cosmology2026-06-081 minarXiv:2606.09427express
Axions reconcile two measurements of the Universe
The late-stage Universe can be thought of as a crowd dispersing after a concert. In the standard cosmological model ΛCDM, people shuffle away quietly, not bothering each other. But what if thousands of concertgoers suddenly start gently nudging their neighbors?
Cosmology2026-06-051 minarXiv:2606.07854express
The Universe as a Distant Forest: Testing Homogeneity
The Universe resembles a dense forest: up close, individual galaxy-trees are visible, gathered into groves, but from a distance everything merges into a solid green canopy. The boundary beyond which the cosmos becomes homogeneous is called the angular scale of homogeneity: it's the size of a patch of sky from which galaxies are distributed evenly.
Vacuum Tide: How Cosmic Emptiness Conducts the Universe
The cosmic vacuum is not emptiness but a living ocean: its energy swells and subsides, echoing the expansion. Like a lunar tide, vacuum density sensitively responds to Hubble’s tempo — the conductor’s baton of the universe.
Cosmology2026-06-013 minarXiv:2606.02097
Light Leaks into Darkness: How Photons Become Dark Matter
Cosmology is experiencing a tectonic rift. Cepheid-calibrated supernovae, measured by Adam Riess’s team, point to a rate of about 73 km/s per megaparsec.
Cosmology2026-05-282 minarXiv:2605.30259express
The Universe May Have Switched to a New Energy State
A compressed spring can sit for years without moving. It seems frozen forever, but inside the metal, atoms slowly rearrange, and one day the spring clicks, settling into a new, more relaxed position.
Cosmology2026-05-273 minarXiv:2605.28797express
Cosmic Friction: How Disorder Fixes the Universe
A blacksmith forges a sword. With each hammer blow, the red-hot metal flattens, but the hammer, the anvil, and the surrounding air all warm up slightly. Part of the impact energy is irreversibly lost as heat — a trade-off familiar to anyone who has ever driven a nail, and it turns out to be the key to the biggest mysteries of the cosmos.
Cosmology2026-05-271 minarXiv:2605.28903express
Cosmology2026-05-252 minarXiv:2605.26050express
Dark Matter Decays, the Universe Smooths Out
On the kitchen counter, there's a flour scale and a measuring cup for water. Individually, they're precise, but when you bake bread, the recipe calls for the perfect ratio. Astronomers have a similar dispute about the universe's expansion rate.
Cosmology2026-05-192 minarXiv:2605.19841express
The Universe as a Layered Cake
Imagine a huge layered cake, where the layers of dough are space and the filling is a special region resembling an invisible wall. This wall is not made of bricks but of energy, and it could be as thick as the entire universe. If such a wall exists, it should stretch the dough layers differently: those lying along it spread apart faster, while those across it spread slower.
General Relativity2026-05-191 minarXiv:2605.20076express
How the Universe Became Smooth: Unraveling the First Moments
The birth of the universe resembles not an explosion, but a traffic jam. At first, a tiny fraction of a second after the Big Bang, space expanded sluggishly, like cars stuck in gridlock. Then came a sharp surge — accelerated expansion, which cosmologists call inflation.
Cosmology2026-05-182 minarXiv:2605.18716express
The Invisible Glue of the Universe
An architect checks the blueprint when building a house. For cosmologists, the blueprint is the Standard Model, and the measuring tape is the light from distant galaxies. Recently, a new 'tape measure,' the DESI instrument, measured distances to millions of galaxies with unprecedented precision. And the numbers didn't match the blueprint.
Cosmology2026-05-151 minarXiv:2605.16155express
Dark Dialogue: Gravitational Lenses Reveal an Exchange of Matter and Energy
The Universe is a vast city. In it, dark matter is the invisible framework of buildings, and dark energy is the force stretching the streets. For a long time they were considered independent, but new research has caught them in secret communication.
Cosmology2026-05-111 minarXiv:2605.10476express
Dark Energy Isn't Constant?
For a long time, dark energy, the mysterious force prodding the expansion of the Universe, was considered eternal and unchanging, like yeast that never loses its activity. But explaining such constancy through the laws of the microcosm proved impossible, and scientists began to suspect that the “leaven” might be going flat.
Cosmology2026-05-102 minarXiv:2605.09560express
Dark Energy Is Acting Up
Imagine inflating a balloon. It expands quickly at first, then slows down, and then suddenly speeds up again, as if someone gave the pump another squeeze. That's what seems to be happening to our universe.
Cosmology2026-05-062 minarXiv:2605.05454
Curved Cosmos: The Secret Life of the Local Universe
The universe abhors monotony. A century ago, Edwin Hubble and Georges Lemaître gave us an elegant picture: an expanding cosmos, smooth as the surface of an inflated balloon.
Cosmology2026-05-033 minarXiv:2605.01904express
A Dark Deal: How the Universe Reconciles Its Clocks
Two clocks tell different times. One sits on our desk, the other lies far in the past, in the glow left over from the Big Bang. The first, looking at nearby galaxies, ticks off the expansion rate of the universe — about 73 kilometers per second per megaparsec of distance. The second, peering into ancient light, gives a noticeably lower value — roughly 67.
Cosmology2026-04-301 minarXiv:2604.27771express
The Universe's Size and Expansion Are Uncertain
The Universe is like an inflating balloon. Quantum mechanics forbids measuring exactly how big it is and how fast it's inflating at the same time. This principle permeates the cosmos: a new equation states that the Universe's expansion and its size are linked by a fundamental uncertainty.
Cosmology2026-04-261 minarXiv:2604.23492express
The Universe Turned Out to Be Flat, But Not at First
You are pacing a huge hall in complete darkness. You walk from wall to wall, counting your steps, and suddenly realize that the distances don't add up as they should. It seems as if the floor is not flat but bulging like a hump or hollowed like a bowl. That's roughly what astronomers found when studying distant galaxies and sound waves frozen in the early Universe.
High Energy2026-04-262 minarXiv:2604.23726express
Glue for Cosmic Rays
A translator gets distracted by every rustle in the hall, and a one-hour meeting stretches into two. Gluons, the particles that carry the strong force inside protons, behave much the same way. Usually, they dart back and forth, holding quarks together.
Cosmology2026-04-192 minarXiv:2604.17660express
How Star Birth Measures the Universe
The universe keeps a tally of every newborn star. Over 13.8 billion years, galaxies have ignited so many stars that their 'census' can reveal the nature of the cosmos itself, just as tree rings reveal past climates.
General Relativity2026-04-181 minarXiv:2604.17017express
The Universe Was Speeding Up — Now It's Slowing Down
Imagine inflating a balloon. At first, it expands slowly; then someone gives a sharp blast of air, and it swells faster. But as the airflow weakens, the balloon's growth slows again. According to a new study, the Universe has behaved much the same way: after the Big Bang, it expanded, then suddenly accelerated, and now that acceleration is fading.