concept

non gaussianity

A statistical property of primordial fluctuations indicating non-random, skewed distributions.
28 related articles

Description

Non-Gaussianity refers to any deviation from a perfect Gaussian (normal) distribution in the statistical properties of primordial fluctuations — the tiny density variations in the early universe that seeded the formation of galaxies and large-scale structure. In the simplest inflationary models, these fluctuations are predicted to be nearly perfectly Gaussian, with random phases and a symmetric bell-shaped distribution. Any measurable non-Gaussianity would therefore be a powerful fingerprint of the specific physics that operated during the universe's first moments, potentially revealing interactions or exotic fields that simple models overlook.

History

The concept was introduced in the early 1980s alongside inflationary theory, with key contributions from theorists like Alexei Starobinsky and later developed by others in the 1990s–2000s, but no single definitive originator is universally credited.

How it works

Primordial fluctuations are typically characterized by their power spectrum, which assumes Gaussian statistics. Non-Gaussianity is quantified through higher-order correlation functions, most commonly the bispectrum (three-point correlation). A nonzero bispectrum indicates that fluctuations are not independent but correlated in a way that skews the distribution. In inflationary theory, non-Gaussianity arises when the field driving inflation has self-interactions or when additional light fields contribute to the curvature perturbation, producing characteristic shapes (e.g., local, equilateral, orthogonal) that can be searched for in cosmic microwave background (CMB) maps and large-scale structure surveys.

In practice

Searching for non-Gaussianity in CMB data (e.g., from Planck satellite) and galaxy surveys is a major observational program to test and discriminate between inflationary models.

Fun fact

The Planck satellite's measurements have constrained local non-Gaussianity to f_NL = -0.9 ± 5.1, consistent with zero but still leaving room for subtle effects.

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Related articles · 28

nlin.PS2026-09-032 minarXiv:2609.03259
A Gaussian Packet on Water: Three Fates of One Wave
A wave packet is like a traveler who either loses steam and spreads out along the way, holds a steady pace, or gathers into a fist. In a 50-meter flume with water 5 meters deep, scientists tracked how a bell-shaped group of waves behaves when its height is changed but not its width.
Rare Events in the Quantum World: How Noise Creates Tails
A courtroom interpreter is distracted by every rustle: the creak of a chair, a cough in the back row, the rustle of papers. By the end of the day, they are translating not what the witness said, but what they heard through the noise. Rare translation errors are not the result of a single loud shout, but of the accumulation of many small disturbances.
Cosmology2026-07-291 minarXiv:2607.26612express
The Universe Could Have Been Born with a Left-Handed Twist
The early Universe was not just a hot soup of particles. In the first fractions of a second, mirror symmetry could have been broken: the world and its reflection would not be quite identical. If so, the large-scale cosmic web of galaxies would retain a barely noticeable 'curl'—as if all matter were slightly twisted in one direction.
HEP Theory2026-07-241 minarXiv:2607.22914express
The Whisper of Gravity: Why the Quantum World Doesn't Fade Away
At the dawn of time, the universe experienced a brief moment of frantic expansion — inflation. Tiny quantum jitters of spacetime stretched to cosmic scales. These jitters, primordial fluctuations, became the seeds from which galaxies and stars later grew.
Geophysics2026-07-232 minarXiv:2607.21854express
Seismic Echo Reveals Hidden Flows
A basin of wet sand. You press in one corner, and water starts moving. But how exactly? Instead of an even circle, it might spread in tongues, linger in some spots, and rush through others. Underground, the same thing happens: oil, water, or gas migrate through rocks not by the textbook, but following the chaos of fractures and heterogeneities.
Galaxies2026-07-223 minarXiv:2607.20606
Galactic Exhalation: Neutral Gas Leaves Massive Galaxies in the Early Universe
The JWST spectrograph caught a barely perceptible dip in the spectrum of a distant galaxy — two lines, like shadows cast by cold gas. These are the sodium lines, the very yellow light of streetlamps. Here, at the edge of the visible Universe, they betray the slow exhalation of a galaxy returning matter to space.
General Relativity2026-07-192 minarXiv:2607.17252express
How the newborn cosmos brewed helium
The first three minutes after the birth of the world are a cosmic kitchen where nature cooked the lightest atomic nuclei. The recipe is set by gravity: it controls the cooling rate of the hot 'broth' of particles. If gravity worked differently than we are used to, the dish would have turned out different — with different amounts of helium and deuterium.
Cosmology2026-07-172 minarXiv:2607.16162
Waltz Without a Right Turn: Gravitational Waves and the Birth of the Universe
13.8 billion years ago, the universe swirled in a waltz. The right turn was forbidden. Today, the echoes of that cosmic ball reach us as a barely perceptible ripple in spacetime — gravitational waves. Their existence was predicted by Albert Einstein.
High Energy2026-07-082 minarXiv:2607.07477express
Cosmic Clocks and the Whisper of Gravity
A low rumble coming from underground could be the noise of a distant construction site, or it could be the echo of an ancient earthquake. Astronomers faced a similar puzzle in 2023 when they detected ultra-low-frequency gravitational waves — the trembling of spacetime itself, rippling across the universe.
General Relativity2026-07-072 minarXiv:2607.06441express
How to Ignite the Big Bang
In the first moments after the Big Bang, the universe expanded at a terrifying rate. This process is called inflation, and it smoothed out all the wrinkles, making the cosmos homogeneous. But what started inflation itself?
Cosmology2026-07-073 minarXiv:2607.06692
Three Pillars of Inflationary Archaeology: Lenses, Gas, X-rays
In 1981, Alan Guth proposed a scenario of cosmological inflation — a lightning-fast expansion of space that stretched quantum fluctuations to the scale of entire galaxies. Since then, cosmologists, like archaeologists, have been excavating this event from the structures of the Universe.
Dance of the Pioneers: When Spatial Dimension Preserves Inequality Forever
Imagine a ball in an unfamiliar hall: two guests start from opposite corners. Their movements are not a smooth waltz but chaotic improvisation in search of rare treasures. Contrary to intuition, the outcome hinges not on tempo but on the geometry of the floor.
Cosmology2026-07-024 minarXiv:2607.02651
A Five-Dimensional Trace in the Cosmic Microwave Background
The cosmic microwave background is not just a faint glow with a temperature of 2.7 K. It's a snapshot of the Universe 380,000 years after the Big Bang, when the primordial plasma finally became transparent to light. But for theoretical physicists, what came before is far more interesting.
Quantum Physics2026-06-172 minarXiv:2606.19649express
Quantum Whisper: Squeezed Light Yields to New States
Gravitational-wave observatories are like a keen ear listening for distant rumbles of cosmic catastrophes. To catch the faint whisper of merging black holes, detectors of gravitational waves use specially prepared light — known as squeezed vacuum.
General Relativity2026-06-051 minarXiv:2606.07467express
The Noise That Gave Birth to Galaxies
Quantum noise, like the hiss of an untuned radio, filled the infant Universe. Alan Guth showed that superfast expansion (inflation) caused this ripple to freeze, giving rise to clumps of matter — the seeds of galaxies. A new method extends this picture to any theory of gravity.
Graviton Fog: How Quanta Blur Light Cones
The light cone is a blueprint of causality, laser-cut onto the fabric of the universe. In classical physics, it is as sharp as a scalpel: events inside are linked by invisible threads of influence, while outside lies eternal isolation, sealed by the ultimate speed limit.
General Relativity2026-05-151 minarXiv:2605.16150express
How the Universe is Born from Nothing
Quantum nothingness resembles water in a pot just before boiling. From time to time, a bubble spontaneously swells up — but not of steam, but of an entire universe. Such a bubble doesn't collapse; instead, it inflates into spacetime, triggering its own Big Bang. The only question is how often this happens.
General Relativity2026-05-052 minarXiv:2605.03305express
A Neutron Star as a Musical Instrument
Strike a bell, and it hums at a single pitch. But if you place a second clapper inside, and they ring without touching each other, the sound becomes more complex. That's roughly how the neutron star from the new study is built. It's not just a hot sphere: inside, two immiscible fluids can flow — for instance, superfluid neutrons and ordinary plasma.
Cosmology2026-05-041 minarXiv:2605.02882express
Ancient Spacetime Ripples Reshape the Face of Galaxies
Right after the Big Bang, space rippled with gravitational waves, like those from a thrown stone. These tremors in the very fabric of the cosmos, predicted by Alan Guth, stretched across the entire universe. The ripples slightly compressed primordial matter in some places and thinned it out in others.
Cosmology2026-04-292 minarXiv:2604.27103express
A Universe with No Beginning: A Bounce Instead of a Bang
Usually, the story of the universe goes like this: there was nothing, then a bang, and ever since everything has been flying apart. But what if there was no 'nothing'? A group of physicists has shown that the universe could have existed forever: it just sometimes contracts and then expands again, like a spring.
Cosmology2026-04-061 minarXiv:2604.05213express
How Ripples in a Glass Reveal the Shape of the Universe
If you toss a handful of sand into calm water, the ripples spread out evenly. Likewise, matter after the Big Bang should have flown out equally in all directions. But in reality, the galaxy map shows a slight ripple — here a few more, there a few less. This ripple is the imprint of those first moments, when space had not yet become perfectly smooth.
Materials2026-03-212 minarXiv:2603.20635express
How Gold Nanoparticles Slim Down on a Hot Surface
Drop tiny gold spheres onto a scorching skillet: each smaller than a hundredth of a hair's width. Under an electron microscope, you can watch them slowly evaporate. It seems simple: each sphere should shrink evenly, like an ice cube in warm water. But instead of a steady shrinkage, the particles behave like drunk pedestrians: one step forward, two to the side.
Cosmology2026-03-211 minarXiv:2603.20855express
The Invisible Ripples of Creation: How to Catch Traces of the Universe's First Moments
In the first moments after the Big Bang, the universe expanded faster than light could cross it. This expansion left a subtle ripple in the distribution of matter, like the rings on water from a thrown stone. Traces of that ripple are visible today in how galaxies cluster into groups and filaments.
Cosmology2026-02-172 minarXiv:2602.15448express
Cosmos Without Averaging: How Inhomogeneity Changes the Universe
In one hospital ward it's +40°C, in another +10°C, and on average it's +25°C. If temperature affected something nonlinearly (say, the rate of bacterial growth) the average would give a wrong prediction. The same problem arises when cosmologists describe a universe where galaxies are packed into clusters and voids yawn between them.
HEP Theory2026-02-021 minarXiv:2602.02682express
Universe Without a Beginning: Quantum Cosmology Confirms Hawking's Idea
The birth of the Universe is usually associated with the Big Bang — a point of infinite density. But at that point, the laws of physics break down, which bothers scientists. Stephen Hawking and James Hartle back in the 1980s proposed a different view: time has no boundary, like the surface of a globe.
HEP Phenomenology2026-01-091 minarXiv:2601.05793express
Gravitational Waves from the Boiling Universe: A New Precise Method
In the infant universe, right after the Big Bang, space was expanding rapidly, and the vacuum resembled a superheated liquid. When 'boiling' began, bubbles of true vacuum emerged. Expanding at the speed of light, they triggered gravitational waves — tremors of space itself that have reached us.
Cosmology2026-01-081 minarXiv:2601.04760express
A Tiny Tweak to Inflation Theory Explains a Cosmic Anomaly
According to the Big Bang theory, developed by Georges Lemaître, the Universe began from a hot dense point and then rapidly expanded — an inflation proposed by Alan Guth. Echoes of that time reach us as a faint glow — the ancient light.
Quantum Physics2025-12-091 minarXiv:2512.08429express
Quantum Teleportation: Record Accuracy in Real Time
The idea of quantum teleportation was proposed by Charles Bennett and realized by Anton Zeilinger. It uses entanglement — when two particles are in sync, like two sheets of paper that instantly copy the same drawing. But earlier, the "ink" would blur, ruining the blueprint.