
Conventional wisdom has been telling us for a while that: Nothing travels faster than the speed of light. True? No, actually. False. Although it does depend on your definition of “nothing”…
When Darkness Outruns Light
In 1905, Einstein’s Special Relativity declared that nothing carrying information can outrun light in a vacuum. And so, for over a century, Physics has lived under a strict cosmic speed limit – a boundary as fundamental to our understanding of the Universe as space and time themselves.
Since then, that rule survived every challenge thrown at it, all but the kitchen sink, from particle accelerators and pulsars to quantum entanglement.
Yet in March 2026, a team of researchers from the Technion, MIT, Stanford, and several other institutions published a paper in Nature that seems, at first glance, to break this sacred rule.
They reported superluminal velocities (i.e. speeds faster than light) occurring inside a sheet of hexagonal boron nitride only a few atoms thick.
But the story is far stranger, far subtler and far more beautiful than a simple violation of relativity.

What researchers observed was a kind of optical choreography: the ultrafast motion of phase singularities – tiny topological defects in a light field – that appear to accelerate to infinite speed just before they annihilate each other.
These “points of darkness” behave like particles…
Until suddenly, they don’t!
In the final instant of their existence, they seem to outrun the Universe’s ultimate speed limit.
The Strangest Particles of Them All, Are Not Even Particles at All
I often say on this website that what we are dealing with here is not science fiction. Well, allow me to be extra clear again…
This is NOT science fiction!!
It is a new frontier in ultrafast microscopy, topological physics and the study of structured light. And it forces us to rethink what “speed” even means.
To understand the discovery, we need to meet the very protagonists: optical phase singularities. These are points in a light field where the intensity drops to zero and the phase becomes undefined.
Optical Phase Singularities
Optical phase singularities arise where the optical phase winds by an integer multiple of around a point.
The simplest example is the screw wavefront dislocation, also known as an optical vortex (OV). These vortices carry orbital angular momentum (OAM) and exhibit transverse energy circulation.
The topological nature of optical phase singularities makes them stable under perturbations. They organize the surrounding field and determine much of the field’s structure. They appear in linear optics, nonlinear optics, quantum optics, and speckle fields.

B: Laguerre–Gaussian Mode Intensity Patterns Source: Angelsky et al. 2022
Physical Manifestations:
- Helical wavefronts and spiral energy flow (OAM).
- Edge diffraction reveals the internal energy circulation and vortex migration.
- Nonlinear optics: vortices can break up, form solitons, or generate higher‑charge vortices in second‑harmonic generation.
- Quantum optics: spontaneous parametric scattering produces entangled vortex photons, enabling high‑dimensional quantum states.
Singularities in speckle fields:
- Speckle patterns are essentially dense networks of singularities.
- The “singular skeleton” encodes information about scattering objects.
- This enables diagnostic techniques for rough surfaces and random media.

In the broader context, singular optics connects classical wave physics, nonlinear dynamics, and quantum information.
Applications include optical communication, metrology, quantum cryptography, and structured‑light engineering.
In everyday terms, they are the cores of optical vortices, like tiny whirlpools in an electromagnetic field.
They are not made of matter.
They are not even made of photons.
They are features of a wave, like the eye of a hurricane is a feature of the storm.
Yet they behave like particles.
They move, collide, orbit, and annihilate in pairs. Their positions can be tracked. Their velocities can be measured.
And their interactions follow rules that resemble the physics of liquids, plasmas, and even superfluids.
For decades, physicists have studied these singularities in static or slowly varying systems. But their full phase‑space dynamics that is to say their positions and velocities evolving together, were experimentally inaccessible.
Quite simply, you could not take a fast enough picture.

That changed with the rise of ultrafast electron microscopy, a technique that uses femtosecond electron pulses to image electromagnetic fields with unprecedented resolution.
The team behind the new study pushed this technology to its limits, achieving spatial and temporal resolutions each an order of magnitude smaller than the wavelength and cycle period of the polaritons they were studying .
This allowed them to watch singularities move in real time.
And what they saw was astonishing.
The Moment Before Oblivion
Singularities often come in pairs.

Like a tiny cosmic yin and yang. A vortex and an antivortex.
When they meet, they annihilate.
The new experiment captured these annihilation events in exquisite detail. As the two singularities approached each other, their velocities did not just increase. They accelerated toward formally divergent values.
In the final instants before annihilation, the measured velocities exceeded the speed of light.
Not by a little. By a LOT!
This is the optical equivalent of watching two whirlpools in a pond rush together so quickly that the point where the water is calm between them moves faster than any wave in the pond could possibly travel.
But here is the key:
Nothing physical is moving faster than light.
No photon, no electron. No energy, no information.
The singularity is a point of zero intensity. It is a mathematical feature of the wave, not a physical object.
Its motion is like the motion of a shadow.

Like the spot of a laser pointer sweeping across the Moon. The spot can move faster than light, but no single photon does.
The researchers’ measurements reveal the same kind of phenomenon, but in a far more exotic setting: the near‑field world of hyperbolic phonon polaritons.
A Brief Detour: What on Earth Is a Polariton?
Polaritons are hybrid quasiparticles – part light, part matter.
Polaritons
Polaritons arise when photons strongly couple to collective oscillations in a material, such as lattice vibrations (phonons) or electron oscillations (plasmons).
In hexagonal boron nitride (hBN), the material used in the experiment, the relevant quasiparticles are hyperbolic phonon polaritons. These have two remarkable properties:
- Polaritons travel extremely slowly and their group velocity can be orders of magnitude below the speed of light.
- They confine light to subwavelength scales, squeezing electromagnetic energy into regions much smaller than the free‑space wavelength.
This combination creates a kind of optical “slow‑motion universe” in which the geometry of the wavefront becomes dramatically distorted. And in this distorted landscape, the apparent velocities of phase singularities can be amplified to superluminal values.
Remember: The singularities are not riding on the polaritons. They are features of the polaritonic field itself.

And because the field evolves slowly, the relative motion of its features can appear extremely fast.
This is why the paper describes the superluminal velocities as being “paradoxically amplified by the slow group velocity” of the polaritons.
And the truth of the matter is:
Slow waves make fast shadows.
The Short History of a Long‑Standing Puzzle
The idea that “darkness” or “nothingness” can move faster than light is older than you might think.
Nodes and Zeros

In the 1800s, mathematicians studying wave equations noticed that zeros of a wave could move arbitrarily fast.
Long before anyone spoke of “optical vortices” or “phase singularities,” mathematicians studying the wave equation stumbled upon a curious and slightly unsettling fact.
The zeros of a wave – that is to say the points where the amplitude vanishes – can move arbitrarily fast.
When analysts such as George Stokes, Bernhard Riemann, and later on the early mathematical physicists examined solutions to the classical wave equation, they noticed that nothing in Mathematics constrained the motion of a node (a point where the wave happens to be zero) to the wave’s own propagation speed.
Nodes
A node is not a physical object.
Nodes are stationary points in a standing wave. Simply put, they are the places where two contributions to the wave cancel out.

- At a node, the displacement of the medium is always zero because the two counter‑propagating waves interfere destructively there.
- The particles at those positions do not move up or down.
- They remain fixed while energy oscillates between kinetic and potential forms elsewhere.
So if you were to watch a standing wave in slow motion, the nodes would look like motionless anchors, while the antinodes would swing through their full amplitude range.
The opposite of a node is an antinode, a point where the amplitude of the standing wave is at maximum. These occur midway between the nodes. In contrast, antinodes are points of maximum oscillation, where constructive interference makes the amplitude reach .
If you slightly change the phase or geometry of the wave, that cancellation point, that zero can jump, slide, or sweep across space at any speed the geometry will allow.
For example, in a guitar string, the ends of the string are nodes. By changing the position of the end node through frets, the guitarist changes the effective length of the vibrating string, and thereby the note being played.
By adjusting the interference pattern of two or more waves, the zero can be made to move faster than the wavefront itself – faster, even, than light would later be understood to travel.
This realization was conceptually shocking because it hinted at a subtle distinction between features of a wave and the wave’s physical content.
Nineteenth‑century mathematicians did not have the language of topology or singular optics, but they understood the core idea:
A zero is not a particle, not a signal, and not a carrier of energy.
A zero is a geometric consequence of how waves superpose. As a result, its motion is not bound by the physical constraints that apply to the wave’s energy or information.
This early insight – born purely from mathematical analysis – quietly foreshadowed the modern understanding of phase singularities: that they can behave like particles, trace out trajectories, and even move superluminally, all without violating any physical law.
Wavefront Dislocations
In the 1970s and 1980s, Michael Berry and colleagues developed the modern theory of wavefront dislocations – the mathematical foundation of optical singularities.
Nye & Berry’s 1974 paper explains that waves – whether light, sound, or water – can contain tiny “defects” where the wave amplitude drops to zero and the phase becomes undefined. At these points, the wavefronts twist or break in a way that resembles dislocations in crystals.

When you move in a loop around one of these defects, the phase winds by an exact multiple of giving each defect a topological charge.
The insight here is that these singularities are not rare accidents: singularities arise naturally whenever waves interfere, diffract, or form complex patterns. The authors show that these dislocations behave like physical entities. They can move, merge, or annihilate, but only in ways that conserve their topological charge.
In simple interference patterns, they appear as points where fringes begin or end. In three‑dimensional fields they form lines that thread through space.
This work laid the foundation for what is now called singular optics, influencing everything from optical vortices and the orbital angular momentum of light to the study of defects in quantum and acoustic wavefields.
Optics and Acoustics
In the 1990s and 2000s, experiments in optics and acoustics confirmed that singularities behave like particles.
Optical dislocation lines – also called phase singularities, zeros, or optical vortices – are places in a light field where the intensity drops to zero and the phase becomes undefined.
In Berry’s 1997 paper, the central message is that these “nothings” in a wavefield are not rare accidents but structurally inevitable features of any sufficiently complex wave. Whenever waves interfere, the phase must twist and wrap in certain ways, and these twists force the field to pass through zero at specific lines or points.
Around each dislocation, the phase circulates like a tiny whirlpool, giving the structure a topological charge. This makes optical vortices stable: you can distort the wavefield, but the singularity persists unless it annihilates with another of opposite charge.

Berry then shows that these singularities form intricate, spaghetti‑like networks in three‑dimensional optical fields, and their geometry obeys universal rules independent of the light source or experimental details.
Singularities behave like the skeleton of a wavefield – invisible in intensity alone but revealed through interference, diffraction, or holography.
The article emphasizes that these zeros are not defects but fundamental organizing features of wave physics, appearing in optics, acoustics, Quantum Mechanics, and even ocean waves. In other words, that “nothing” at the centre of a vortex turns out to be one of the most important somethings in wave theory.
Superluminal Wavefront Propagation
In 2007, researchers observed superluminal wavefront propagation in the shadow behind an opaque disk, again without violating relativity.
Vasnetsov et al. (2008) report their experimental observation of asuperluminal phase‑front propagation in the shadow region behind an opaque disk. Essentially, the region where you would expect darkness.
When a coherent laser beam hits a small circular obstacle, then the diffraction produces a bright spot on the axis behind the disk – the classical Poisson spot.
The Arago Spot
When a point source of light illuminates a small, smooth, circular object (like a ball bearing or a disc), you would expect the centre of the shadow it creates to be completely dark. Instead, a bright dot appears exactly at the geometric centre.
This bright dot is known as the Arago spot, and also as Poisson’s spot or Fresnel spot. It happens because light waves diffract around the object and interfere constructively on-axis, producing a luminous point.

In this case, “on-axis” refers to the central optical axis – the straight line that passes through the light source, the centre of the circular obstacle, and the centre of the screen. It is the symmetry line of the setup.
Every point on that axis is equidistant from the edges of the obstacle, so the diffracted waves arriving there have identical path lengths. Because their phases align perfectly, they interfere constructively, producing the bright Arago spot right at the centre of the shadow.
Poisson’s spot is historically important because it was predicted against the wave theory of light. Siméon-Denis Poisson argued that Fresnel’s wave model must be wrong because it implied this absurd bright spot.
But François Arago performed the experiment in 1818 – and the spot was real. The “absurd prediction” became one of the strongest proofs that light behaves as a wave.

The reason you do not notice it under everyday lighting, is that the source is not point-like, the obstacles are not perfectly round, and the geometry rarely satisfies Fresnel conditions.
The spot washes out unless the setup is precise.
The authors measured how the phase of the light wave evolves in this region and found that the phase fronts advance slightly faster than the speed of light in vacuum. Importantly, this does not mean that energy, information, or any physical signal travels faster than light.

What exceeds c is the phase velocity, which is not constrained by Special Relativity.
The key insight is that the geometry of diffraction creates a situation where the wavefront curvature changes rapidly as the beam reconstructs itself behind the disk.
This geometric reshaping causes the phase fronts to “pile up” in such a way that makes their apparent forward motion exceed the speed of light, c.
The experiment confirms this by interfering the diffracted field with a tilted reference beam, allowing the researchers to directly track the motion of the phase fronts. The result is a clean, experimentally verified example of superluminal phase behaviour arising from wave geometry, not exotic physics.

In the 2010s and 2020s, advances in nanophotonics and ultrafast microscopy set the stage for the present work.
Phase‑Space Dynamics of Singularities
And 2026, the new Nature paper is the first to directly measure the full phase‑space dynamics of singularities and to observe their superluminal velocities in a real material system.
Building on advances in ultrafast microscopy and topological field analysis, the study shows that ensembles of optical phase singularities do not move randomly but exhibit highly correlated trajectories governed by the local structure of the electromagnetic field.
By reconstructing their positions, velocities, and pairwise interactions with femtosecond resolution, the authors reveal that these singularities form transient, self‑organizing networks whose collective dynamics can exceed the speed of light without transmitting information.
The work demonstrates that superluminal motion emerges statistically from the geometry of the underlying wavefield, with singularities accelerating, merging and annihilating in patterns that match long‑standing theoretical predictions about their topological charge conservation and correlation functions.
It is the culmination of decades of theoretical predictions and technological progress.
Einstein’s Cosmic Speed Limit Still Stands
At this point, you might be wondering:
“Does this violate Einstein’s rule that information cannot travel faster than light?”
The answer is: Not at all.
Einstein’s prohibition applies to signals, causal influences and energy transfer.
None of these are happening here.

A phase singularity is not a physical entity. It carries no energy.
You cannot use its motion to send a message.
You cannot encode information in its trajectory.
You cannot push on it or pull on it.
Its motion is a geometric effect – a rearrangement of the wavefront.
This is exactly the same reason why:
- The intersection point of two scissors blades can move faster than light.
- A laser spot sweeping across a distant surface like the Moon can exceed the speed of light.
- The shadow of a moving object can outrun light.
In all these cases, no physical object is breaking the speed limit.
Only a pattern is.
The new research does not challenge relativity. It enriches it by revealing the extraordinary complexity of wave phenomena in structured materials.
Connecting The Dots…
So you might ask:
Why should we care at all about the speed of a point of darkness in a sheet of boron nitride?
Because what appears to be a tiny, fast‑moving “hole” in an optical field is actually the visible trace of a topological defect – a singular point where the phase of a wave becomes undefined. These defects behave like quasiparticles, carrying quantized topological charge and interacting through well‑defined dynamical rules.
By measuring their trajectories, accelerations, and annihilation events with femtosecond precision, the 2026 experiment provides the first direct access to the full phase‑space dynamics of these objects in a real material system.
This elevates singularities from mere abstract mathematical curiosities to experimentally trackable entities whose behaviour encodes deep information about wave physics, material response, and energy flow at the nanoscale.
Here are some of the implications:
A new tool for Studying Topological Physics
Topological defects are universal structures that appear across physics – in superfluids, superconductors, liquid crystals, plasmas, and even in models of early‑universe cosmology. Despite their ubiquity, their dynamics are notoriously difficult to measure because they often evolve on ultrafast timescales or at nanometre length scales.
The ability to reconstruct their full phase‑space trajectories (position, velocity, acceleration, and local field topology) in a solid‑state system provides a new experimental platform for testing long‑standing theoretical predictions.
Indeed it may reveal universal scaling laws, defect‑defect interaction rules, and non‑equilibrium behaviours that were previously accessible only through simulations.
Advances in Ultrafast Electron Microscopy
Achieving this measurement required pushing ultrafast electron microscopy into a regime where both the spatial resolution (nanometre‑scale) and the temporal resolution (sub‑cycle, tens of femtoseconds) exceed the characteristic scales of the polaritonic field in hBN.
This represents a major technical milestone: imaging a propagating singularity whose structure is smaller than the wavelength of the underlying mode and whose dynamics unfold faster than a single oscillation of the driving field.
Such capabilities will have broad impact, enabling direct visualization of near‑field optical modes, plasmonic hotspots, phonon‑polaritons, and ultrafast material responses that were previously invisible.
Insights into Light–Matter Interactions

Hexagonal boron nitride (hBN) is a prototypical hyperbolic material, where light propagates in highly anisotropic, cone‑like trajectories that support deeply subwavelength confinement.
By tracking singularities within these modes, the experiment reveals how energy, momentum, and phase flow through hyperbolic media at ultrafast speeds. This could inform new strategies for controlling light at the nanoscale, including:
- steering polaritonic beams through engineered singularity landscapes
- designing ultrafast optical switches based on defect creation/annihilation
- manipulating quantum emitters via local phase topology
Understanding singularity dynamics thus becomes a pathway to active control of nanophotonic fields.
A Deeper Understanding of Wave Physics
The experiment also exposes the limits of the traditional analogy between singularities and classical particles.
Near creation or annihilation events, the local field topology becomes highly distorted, causing the apparent singularity velocity to diverge, sometimes exceeding the group velocity, phase velocity, or even the speed of light.
These superluminal velocities do not violate relativity because no information or energy is transported faster than light. Instead, they reflect the geometric motion of a topological feature in a rapidly evolving wavefield.
This breakdown of the particle-singularity analogy highlights how wave‑based entities can exhibit behaviours with no classical counterpart, especially in strongly confined or strongly driven regimes.
The Inspiration for New Theoretical Frameworks
The observation of divergent singularity velocities and non‑classical trajectories demands new mathematical tools. Existing models—based on paraxial optics, hydrodynamic analogies, or simple topological charge conservation—cannot fully capture the ultrafast, non‑linear, and anisotropic environment of hyperbolic materials. The results motivate the development of:
- generalized topological hydrodynamics for wavefields
- non‑Hermitian and dispersive topology frameworks
- phase‑space formalisms that treat singularities as dynamical entities
- new invariants describing near‑field optical topology
In this sense, the experiment does not merely confirm theory. It expands the theoretical landscape, revealing behaviours that require new physics to describe them.
The Beauty of the Invisible
Perhaps the most poetic aspect of this research is that it reveals the secret life of darkness. Not darkness as absence, but darkness as architecture: tiny knots, twists, and vortices in the electromagnetic field, dancing, colliding, and dissolving in instants far too brief for any eye to witness unaided.

These singularities are the punctuation marks of light: the commas that pause a wave, the periods that anchor it, the exclamation points that erupt when geometry snaps. They are the grammar of illumination.
And now, for the first time, we can watch them move.
The discovery that they can appear to outrun light is not a rebellion against physics. It is a celebration of Physics at its most exuberant. A reminder that the Universe is richer, stranger, and more intricately choreographed than intuition alone could ever predict.
Einstein gave us a speed limit for information. He did not set one for our sense of wonder.