Theater in the Fog: The Quantum Landscape that Gives Birth to Thought ✛ ✦

Original: "A Non-Hermitian Potential Well Formalism for Conscious--Preconscious--Subliminal Processing"
arXiv:2607.08302 · 2026-07-09 · CC BY 4.0 · 4 min
Non-Hermitian quantum mechanics reveals how the brain carves consciousness from stimuli, juggling the spotlight of attention and the fog of dissipation.

Imagine an old theater in the damp fog. On the stage, a scattering of actors, but only one is caught by the spotlight beam, made to freeze in the bright patch. The rest billow in the dim light, ready to dissolve at any moment. This image is the key to one of the most ambitious models of consciousness, built in the language of quantum mechanics. Instead of neurons, scientists operate with a quantum-like field. It permeates the 'global workspace' of the brain — the very space where disparate sensations fuse into a single image. A stimulus from the external world creates a depression in this field, a potential well, and the mental response takes the form of a cloud function. Just as the shape of a cloud reveals the hidden relief of a mountain, so the profile of this function tells the fate of perception: whether it will enter consciousness or get stuck on the outskirts.

The key tool is the non-Hermitian evolution operator, which, like a theater director, orchestrates the play of light and shadow. The Hermitian part, proportional to the strength of attention, pulls the cloud function toward the center of the well. It forces the superposition of possible interpretations to collapse into a single localized state — the 'aha!' moment. The anti-Hermitian part, however, works like an omnipresent fog of dissipation: it blurs the cloud, trying to spread information across the whole stage. This antagonism gives rise to three regimes. If the well is too shallow, the cloud cannot get a grip — the stimulus remains subthreshold, a purely physiological response. When the well is deep but the spotlight of attention is dim, the cloud function exists for a while but quickly melts — the familiar preconscious buffering, when we haven't yet become aware but have already 'sensed' it. And only when attention exceeds a critical threshold does the decisive collapse into a stable bound state occur — conscious access. Thus the quantum formalism melts philosophical categories into calculable dynamics.

The characteristic time of conscious processing, about 200 milliseconds, coincides with the duration of the neurobiological 'now,' the minimal interval in which the brain binds disparate sensations into a coherent frame of perception.

This transition is threshold-like. Numerical experiments showed: if attention falls just 1.25% below the critical value, the cloud vanishes like a theater ghost at dawn. Just 1.25% above, and the function profile almost perfectly matches the analytical solution for a stable soliton of thought. An intriguing detail: with excessive focusing, the cloud doesn't just collapse but begins to pulsate, generating a flickering awareness — perhaps this gives the neurobiological mechanism of intrusive thoughts its first quantum-like description. Curiously, the landscape's maxima—'bumps' from competing stimuli — act as repellers: computer simulations confirm that the cloud function avoids them, bouncing off emptiness. We don't perceive 'nothing' as a stimulus, and the model elegantly incorporates this into the phase diagram. This approach weaves together the uncertainty of perception, the decoherence of dissipation, and even a distant semblance of entanglement — the global interaction of cloud functions resembles a nonlinear Lotka–Volterra term, where images compete for a place on the stage.

The formalism, proposed by John von Neumann and reinterpreted in a quantum field key, elevates the hard problem of consciousness to the level of rigorous dynamics. Consciousness is no longer a miracle but the emergence of a stable bound state given sufficient 'depth' of the sensory landscape and spotlight strength. This explains not only laboratory data but also everyday experience: why we cannot be aware of two complex stimuli at once, why a thought slips away when we're tired, how attention sculpts a sharp scene from the fog. In perspective, the model will become a bridge to artificial systems with limited conscious access — to those very 'attentive' architectures that are already reshaping the world of large language models.

The equation for the cloud function contains a nonlinear term that may be the key to the reverberation effect — when an image continues to resonate in consciousness after the stimulus disappears. Adding this detail would turn the model into an analogue of the complex Ginzburg–Landau equation from the physics of superconductors.

Further play with non-Hermiticity promises to include reverberation and 'echo' of thought, bringing the model closer to a full description of working memory. If we add a nonlinearity dependent on the cloud function's modulus, we get a spatiotemporal picture where consciousness doesn't just flash on and off but lives, pulsates, and intertwines — a true theater where the actor, having left the stage, still echoes long in the hall's acoustics. Such quantum-informational aesthetics is already changing the view of neuroscience: perhaps quantum analogies are not just a metaphor but a reflection of fundamental processes in the brain, where information obeys laws universal to the cosmos.

The characteristic time of conscious processing, about 200 milliseconds, coincides with the duration of the neurobiological 'now': the minimal interval during which the brain binds disparate sensations into a whole perception frame, like splicing film frames together.

Cloud functions and mental landscape bring to mind the consensual hallucinations and cyberspace of William Gibson's 'Neuromancer': there, access to collective cognitive projections also required overcoming thresholds of attention.

\Psi_0(\eta)=\frac{Z_0}{\cosh^\mu\eta}
The localized cloud function exists only with sufficient landscape depth and attention; its shape resembles a soliton
\mu(\mu+1)=\frac{A-ic}{A+ic}U
Criterion for the existence of a stable bound state: the real part of µ must be positive, otherwise the cloud dissipates
Scientists
Emmy NoetherDavid DeutschErwin SchrödingerJohn Stewart BellLouis de BroglieLov Grover
Concepts
hamiltonian neural activity Hilbert space neural networks in spatial mapping brain computer interface gaussian process frame Natural Language Processing parietal region hippocampus Jin-Timmermann model neural network working memory