1. Introduction

Closing your eyes after spinning in place is enough to feel space continuing to rotate. This familiar yet unsettling sensation reveals the workings of a discreet but fundamental sensory system: the vestibular system of the inner ear. It informs the brain about head accelerations, helps stabilize gaze, and contributes to our sense of spatial orientation.

When this system is disrupted — by infection, displaced crystals, migraine, or a central lesion — vertigo and nystagmus can appear. These symptoms are often described with metaphors of rotation and spiraling. This article examines what physiology actually says about these phenomena, distinguishing established mechanisms, model limitations, and legitimate uses of the spiral metaphor.

2. Anatomy of the Vestibular System

The membranous labyrinth of the inner ear comprises two functionally distinct compartments: the cochlea, dedicated to hearing, and the vestibular labyrinth. The latter consists of five sensory organs: three semicircular canals and two otolith organs, the utricle and saccule. All are filled with endolymph, a fluid whose unusual ionic composition (high potassium, low sodium) is maintained by specialized cells of the stria vascularis.

Vestibular sensory cells are mechanosensitive hair cells. They carry a bundle of stereocilia and a kinocilium. When the stereocilia deflect toward the kinocilium, the cell depolarizes and increases its firing rate; in the opposite direction, it hyperpolarizes and reduces its activity. This directional polarity is the basis for vectorial encoding of movement.

The two ears function in coplanar pairs. The left horizontal canal is coplanar with the right horizontal canal; the left anterior canal is coplanar with the right posterior canal, and vice versa. This organization allows the brain to compare signals from both sides and extract the direction and amplitude of movement with high precision.

3. Semicircular Canals: Angular Acceleration Detectors

Each semicircular canal is an arc-shaped tube whose one end widens into an ampulla. Inside the ampulla lies the crista ampullaris, a ridge of connective tissue bearing the hair cells. The cupula is a gelatinous structure extending from the crista to the opposite wall of the ampulla, forming a seal that blocks endolymph flow.

When the head begins to rotate, the inertia of the endolymph means the fluid momentarily stays in place while the canal moves with the head. From the canal's perspective, the endolymph appears to flow in the direction opposite to the rotation. This flow deflects the cupula, tilting the stereocilia and modifying hair cell activity. The signal transmitted to the vestibular nerve is proportional to angular acceleration, not to velocity.

Damped Pendulum Model The behavior of the cupula is well described by a second-order damped pendulum model. If θ is the deflection angle of the cupula and Ω the angular acceleration of the head, the simplified equation of motion is: τ₁ · d²θ/dt² + τ₂ · dθ/dt + θ = τ₂ · Ω where τ₁ ≈ 0.003 s is the mechanical time constant (cupula inertia) and τ₂ ≈ 6–7 s is the restoration time constant (cupula elasticity). For typical head movement frequencies (0.1–10 Hz), the second-order term is negligible and the cupula behaves as an integrator of angular acceleration, providing a signal approximately proportional to angular velocity. This is why the vestibular system is often described as a "velocity detector" in practice, even though it physically measures accelerations.

During prolonged constant-speed rotation, the cupula gradually returns to its resting position (time constant τ₂ ≈ 6–7 s). The vestibular signal adapts and the sensation of rotation diminishes, even though physical rotation continues. At the stop, the cupula is deflected in the opposite direction by the residual inertia of the endolymph, creating a sensation of rotation in the reverse direction. This phenomenon underlies post-rotatory vertigo.

4. Otolith Organs: Gravity and Linear Acceleration

The utricle and saccule detect linear accelerations and tilt relative to gravity. Their sensory organ, the macula, is a flat surface covered with hair cells topped by an otolith membrane — a gelatinous layer in which calcium carbonate crystals called otoliths (or otoconia) are embedded. These crystals, with a density about 2.7 times that of endolymph, give the membrane greater inertia than the surrounding fluid.

When the head tilts or accelerates linearly, the otolith membrane slides relative to the hair cells, deflecting the stereocilia. The utricular macula is approximately horizontal and responds mainly to accelerations in the horizontal plane; the saccular macula is approximately vertical and responds to vertical accelerations and lateral tilts. Both maculae have a zone of reversed polarity (the striola) that divides the surface into two regions of opposite directional sensitivity, enabling a wide range of directions to be encoded.

A fundamental problem arises: the equivalence principle of general relativity applies here at the biological scale. An accelerometer cannot distinguish gravitational from inertial acceleration. The utricle responds identically to a forward head tilt and a forward acceleration in an upright position. The brain resolves this ambiguity by combining otolith signals with those from the semicircular canals and vision, through a Bayesian inference process that computational models seek to formalize.

5. The Vestibulo-Ocular Reflex

The vestibulo-ocular reflex (VOR) is one of the fastest reflexes in the human body. Its role is to stabilize the image on the retina during head movements by generating compensatory eye movements equal in amplitude and opposite in direction to the head movement. The latency of the VOR is approximately 5–10 ms, well below that of visual reflexes (80–100 ms), allowing it to act before the visual system has had time to detect blur.

The gain of the VOR is defined as the ratio of eye movement amplitude to head movement amplitude. A gain of 1 means perfect compensation. In practice, gain is close to 1 for typical head movement frequencies (1–5 Hz), but decreases at very low frequencies (where vision can compensate) and at very high frequencies (beyond the mechanical capabilities of the system). Gain can be modified by learning: wearing prism glasses or magnifying lenses leads to progressive recalibration of the VOR.

The VOR is mediated by a trisynaptic arc: primary vestibular neurons synapse in the vestibular nuclei of the brainstem, which project to the oculomotor nuclei (III, IV, VI) via the medial longitudinal fasciculus. This short pathway explains the low latency of the reflex. Additional projections to the cerebellum allow adaptive gain modulation.

6. Nystagmus: Mechanics and Classification

Nystagmus is a rhythmic involuntary eye movement characterized by alternating slow and fast phases. The slow phase is the reflex component: the eyes drift in the direction of the perceived endolymph flow, attempting to compensate for a head movement that does not exist (or has ceased). The fast phase is a recentering saccade generated by the brainstem to return the eyes toward a central position. By convention, the direction of nystagmus is defined by the direction of the fast phase.

Nystagmus classification rests on several criteria. Direction: horizontal (most common in peripheral pathologies), vertical (upbeat or downbeat, suggestive of central involvement), or torsional (rotation around the anteroposterior axis). Form: pendular (slow and fast phases of equal duration, often congenital) or jerk (asymmetric slow and fast phases, most common in vestibular pathology). Triggering position: spontaneous, positional (triggered by a change in head position), or gaze-evoked (appearing in certain gaze positions).

The actual eye trajectory during nystagmus is generally not spiral. In pure horizontal nystagmus, the eyes oscillate along a horizontal axis. In pure torsional nystagmus, they rotate around the line of sight. A spiral trajectory can appear when horizontal and torsional components combine in specific pathologies (such as posterior canal benign paroxysmal positional vertigo, where nystagmus is geotropic and torsional), but this is not the general rule. The term "spiral" should therefore be reserved for a precise description of the measured trajectory, not used as a metaphor for disorientation.

7. Vertigo: Causes and Differential Diagnosis

Vertigo is an illusion of movement: the sensation that oneself or the environment is rotating, tilting, or moving when it is not, or a distorted perception of real movement. It is distinct from simple dizziness (a feeling of lightheadedness or floating) and presyncope (a feeling of impending faint). This clinical distinction matters because causes and treatments differ.

  • Benign paroxysmal positional vertigo (BPPV): the most common cause (approximately 20% of vertigo cases). Displaced otoliths in a semicircular canal (most often the posterior canal) create abnormal endolymph currents during position changes. Repositioning maneuvers (Epley, Semont) are effective in more than 90% of cases.
  • Vestibular neuritis: inflammation of the vestibular nerve, often of presumed viral origin. Intense and prolonged vertigo (days to weeks), without hearing loss. Symptomatic treatment and vestibular rehabilitation.
  • Ménière's disease: triad of episodic vertigo, fluctuating hearing loss, and tinnitus, associated with endolymphatic hydrops (distension of the membranous labyrinth). Pathophysiology still debated.
  • Vestibular migraine: a frequent and underdiagnosed cause of recurrent vertigo, with or without headache. Diagnostic criteria defined by the International Headache Society (ICHD-3).
  • Central involvement: lesions of the cerebellum, brainstem, or central vestibular pathways (stroke, multiple sclerosis, tumors). Often associated with other neurological signs. Pure vertical nystagmus or nystagmus that does not attenuate with visual fixation are red flags.

The type of nystagmus is a key element of differential diagnosis. Unidirectional horizontal nystagmus that attenuates with visual fixation, accompanied by tonic gaze deviation toward the affected side (Romberg test, finger deviation), points to peripheral involvement. Vertical, bidirectional, or fixation-independent nystagmus should raise suspicion of central involvement and warrants brain imaging.

8. The Spiral: Trajectory or Metaphor?

Vertigo is often described as a sensation of "spiraling." This image is understandable: the disorientation, loss of control, and sensation of uncontrollable movement naturally evoke a downward spiral. But physiology invites us to distinguish two uses of the word.

As a geometric trajectory, a spiral implies rotation around an axis with a progressive variation in radius or altitude. The eye trajectory in pure nystagmus (horizontal, vertical, or torsional) is not a spiral: it is an oscillation along an axis or a rotation around a fixed axis. A spiral trajectory can appear in particular cases of mixed nystagmus, but it must be measured (by three-dimensional video-oculography) and not assumed.

As a metaphor for disorientation, the spiral is legitimate and useful for communicating the subjective experience of vertigo. It captures the dynamic aspect, the loss of bearings, and the progressive amplification of symptoms in certain pathologies. But science benefits from not confusing the metaphor with the mechanical description. The vestibular system is a biological inertial sensor of remarkable precision; its failures produce well-characterized symptoms whose precise description is both more accurate and more clinically useful than the spiral metaphor.

What the vestibular system illustrates for the "Spirals Everywhere" project is more subtle than the simple presence of a spiral trajectory. It shows how the brain constructs a representation of space from inertial sensors, how this construction can be disrupted by sensory conflicts, and how the perception of movement is an active inference rather than a passive recording. The convergence with other domains of the project lies in this dynamic of integration and disintegration of spatial information.

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