General Relativity gr-qc

Two vessels of water at different temperatures are separated by a thin partition. As long as the partition is intact, each vessel lives its own life: in one, the water is hot; in the other, it's icy. But once the partition is removed, the temperatures begin to equalize, and eventually both vessels reach the same state.

Imagine a city drawn on a sheet of paper. The streets are the same, the intersections are in place, but the distances between blocks have suddenly changed.

In the first moments after the Big Bang, space expanded at an incredible rate. A tiny quantum ripple, embedded in the uncertainty principle itself, pushed matter apart more strongly than any known force. This ripple is the generalized uncertainty principle, or GUP.

In 2008, a group of physicists spent months of supercomputer time to compute a single quantity in quantum gravity theory. This is the vertex amplitude of spinfoam, a number that sets the probability of a local quantum transition of spacetime.

The shadow of a black hole is not just a dark silhouette. It is an imprint of the entire spacetime geometry, including the subtlest quantum effects.

In the first moments after the Big Bang, the Universe underwent rapid expansion: inflation. But perhaps it was contracting before that, and then bounced. Both scenarios leave nearly identical imprints on the cosmic microwave background, and cosmologists have debated for decades which one is correct.

A century ago, quantum mechanics gave the world a neat picture: a particle rotating around a point can only have certain discrete amounts of angular momentum, integer multiples of Planck's constant. This rule seemed as solid as the law of gravity, and it followed from simple algebraic arguments.

Two particles begin their dance in complete independence. Neither knows of the other's existence. But under the invisible music of deformed spacetime, their motions gradually synchronize: entanglement is born in the system—that very quantum connection Einstein called 'spooky action at a distance.' In the ordinary world, energies add up simply: take the energy of…

Quantum mechanics is a linear theory. This property is so fundamental that violating it would mean losing the superposition principle and, consequently, the possibility of superluminal information transfer. But physicists have long suspected that at a deep level, where gravity meets quanta, linearity might not survive.

At the edge of spacetime, where all light rays end, live symmetries that physicists have debated for half a century. They are called superrotations, transformations of the celestial sphere that diverge at isolated points, like vortices in superfluid helium.

A black hole in anti-de Sitter space is not a void but rather a pot of boiling liquid. This liquid has two phases: small and large black holes, like steam and water. At a certain pressure, they merge at a critical point, just as water at 374 °C and 218 atmospheres loses the distinction between liquid and gas.

The clock on the kitchen wall ticks, and each tick relentlessly carries us from breakfast to lunch. This is so familiar that it seems like a law of nature, but physics says otherwise. In Einstein's equations, time is reversible: you can rewind the film, and no frame will give the trick away.

In 2022, physicists observed gravity shifting the phase of a single atom's wave, the gravitational analog of the Aharonov–Bohm effect. This experiment became part of a long-standing debate: whether gravity must be quantized or remains a classical background in the quantum world.

In 2017, the LIGO and Virgo detectors caught gravitational waves from the merger of two neutron stars. A kilonova flared: a brilliant cosmic explosion thought to forge the heaviest elements in the periodic table. Gold in jewelry, platinum in catalysts, europium in smartphone screens: all of it, according to a beautiful legend, came to us from such catastrophes.

On October 9, 2022, the cosmos put on a show unlike anything astronomers had seen in the history of observations. Gamma-ray burst GRB 221009A, the most powerful cosmic explosion that produces a flash of gamma radiation, blinded detectors in orbit and on Earth.

In April 2023, the LIGO, Virgo, and KAGRA detectors caught a gravitational wave from the merger of two black holes. With masses of 137 and 103 solar masses, GW231123 became the most massive event ever observed.

The universe is expanding, and the pace of that expansion is set by dark energy, the mysterious force accelerating the recession of galaxies. In the standard cosmological model, its density is constant: a cosmological constant, an unwavering metronome since the birth of the cosmos.

Two qubits, quantum bits, two-level systems, glide through hot and cold thermal baths. One moves at 0.8 times the speed of light. At that moment, familiar thermodynamics cracks: a moving qubit senses temperature differently than a stationary one. For it, the cold bath can feel hotter, and the hot bath colder.

An ordinary black hole is the perfect devourer: everything that crosses its horizon disappears forever. But in recent decades, this picture has been cracking at the seams. The information paradox, singularities, firewalls: theorists are looking for a way out, and one candidate replacement is the black mirror.

When entropy reaches its maximum, the play is over. The curtain falls, the actors leave, the scenery freezes. But the stage remains. So it is with time: the heat death of the universe erases the direction 'past—future', but not time itself.

In laboratories on Earth, Bose-Einstein condensates are created by cooling a cloud of atoms to billionths of a kelvin. The atoms lose their individuality and merge into a single quantum wave that behaves as one entity. But in space, such conditions are not needed: gravity itself creates deep wells where matter compresses and cools into a state of quantum fog.

Deep inside a molecular cloud, where temperatures drop to 10–20 kelvin and gas densities reach a million particles per cubic centimeter, a frozen shadow prevails. There, far from starlight, water, carbon dioxide, and other molecules freeze onto dust grains.

In 1989, John Wheeler proposed a bold idea: "it from bit," meaning everything that exists arises from information. For a long time, this remained a beautiful metaphor, but now physicists have found a concrete mechanism that turns bits into particles.

The Event Horizon Telescope looks at M87* and sees more than just a ring of light around a dark void. That light is twisted, like a corkscrew. The wavefront carries a helical structure that physicists call orbital angular momentum.

In 2019, the Event Horizon Telescope gave humanity the first image of a black hole's shadow. Since then, astrophysicists have dreamed of more: seeing how matter moves in the very funnel of spacetime. One of the mysteries is chaos.

The Moon is not just a satellite; it is a potential gravitational bell. When massive bodies collide, spacetime shudders, and that shudder, gravitational waves, makes everything in their path vibrate.

In general relativity, a black hole has long been regarded as a perfect mirror: no matter what fields fall onto it, it does not deform. The tidal Love numbers, which measure how a body deforms under an external tidal field, turned out to be zero for scalar, electromagnetic, and gravitational perturbations.

Gravitational waves from a neutron star merging with a black hole carry the imprint of the intricate dynamics of spacetime. To decode that imprint, physicists compute scattering amplitudes, the quantum probabilities that two bodies fly apart at a given angle.

A century ago, Einstein's equations predicted black holes, but inside them physics broke down: particle trajectories ended at the singularity, a point of infinite curvature. It was a dead end, the end of spacetime. Now physicist Itzhak Bars proposes a radical twist: the singularity is not a wall but a door.

In 1976, Canadian physicist Bill Unruh asked a simple question: what does an observer see when accelerating through empty space? The answer turned out to be strange: emptiness ceases to be empty. An accelerating observer bathes in thermal radiation with a temperature proportional to the acceleration.

In the lab, time usually ticks on the wall: hands, digits, a frequency standard. But for the Universe, there are no external clocks. The Wheeler–DeWitt equation, the main law of quantum gravity, contains no time at all, and all fundamental theories lack an inbuilt arrow of time.

In a courtroom, there isn't always a video recording of the crime. Sometimes the verdict is based on witness testimony: what happened before, what happened after. That's exactly how physicists treated the signal GW250114, detected on January 14, 2025.

Two black holes circle in a tight dance, and around them something remarkable is born: a gravitational molecule. A cloud of ultralight bosons, particles with masses below an electronvolt, envelops the pair like the electron cloud in an H2+ ion.

A gravitational-wave detector catches not only the roar of mergers but also the quiet splash when a star or gas cloud dives into a supermassive black hole. Such a dive, like a stone falling into a well, generates waves at all frequencies at once—and in that spectrum lies encoded the nature of the well itself.

A homogeneous dust sphere begins to contract under its own gravity. Inside it, like a rescue bubble, a region of negative pressure inflates: the de Sitter bubble. It expands, slows down near the very edge of the fall, and freezes at the Schwarzschild radius.

The universe is putting on a show, and the lead role goes to dark energy. For a long time, the actor seemed unchanging: the cosmological constant (the vacuum energy that accelerates cosmic expansion) set the same tone throughout.

The collision of two neutron stars is a strike heard across the universe. Gravitational wave detectors pick up the ripples in spacetime, but the most interesting sound begins after the impact: the merger remnant, a rapidly spinning hypermassive neutron star, continues to vibrate, emitting waves for a few more…

A waterfall doesn't ask if you're ready to jump. Its flow accelerates, and at some point even light can't escape back. A McVittie black hole is such a waterfall, but not in an ordinary river; it's in an expanding universe: the water here is space itself, which continuously stretches, carrying galaxies apart from each other.

A black hole is not just the universe's trash can; it is more like a safe with a secret code. For decades, it was thought that any signal sent toward the event horizon would be partially reflected back: curved spacetime acts like a funhouse mirror, and some energy always escapes.

On an ordinary optical table, amid lasers and mirrors, a cloud of a hundred strontium-87 atoms begins to live by the laws of curved spacetime. Half a second later, its quantum interference fades: gravitational time dilation destroys the superposition.