| name | non-hermitian-conscious-preconscious-subliminal |
| description | Non-Hermitian Potential Well Formalism for Conscious-Preconscious-Subliminal Processing methodology. Models the Global Neuronal Workspace (GNW) as a complex-valued landscape where sensory encoding and conscious access are unified. Activation: non-Hermitian consciousness, GNW landscape, conscious preconscious subliminal, potential well consciousness, complex-valued GNW, non-Hermitian Hamiltonian consciousness. |
| version | 1.0.0 |
| author | Hermes Agent |
| license | MIT |
| metadata | {"hermes":{"tags":["neuroscience","consciousness","GNW","non-Hermitian","quantum-analogy"],"trigger_words":["non-Hermitian consciousness","GNW landscape","conscious preconscious subliminal","potential well consciousness","complex-valued GNW","non-Hermitian Hamiltonian consciousness"]},"source":"arXiv:2607.08302"} |
Non-Hermitian Conscious-Preconscious-Subliminal Processing
Description
Phenomenological model of the Global Neuronal Workspace (GNW) using a non-Hermitian, non-normal Hamiltonian framework with complex-valued potential landscape dynamics. Provides a unified dynamical description linking sensory processing, attention, and conscious access.
Source: arXiv:2607.08302 (Lubashevskiy & Lubashevsky, 2026-07-09)
Activation Keywords
- non-Hermitian consciousness
- GNW landscape
- conscious preconscious subliminal
- potential well consciousness
- complex-valued GNW
- non-Hermitian Hamiltonian consciousness
- 非厄米特意识模型
- 全局神经元工作空间势阱
Core Framework
1. Complex-Valued GNW Landscape
The model defines a complex-valued effective potential landscape over a perceptual state space:
- State space: Hilbert space over perceptual states
- Cloud function: Encodes high-level stimulus representations, combining holistic mental image structure with neural implementation
- Landscape: Generated by early sensory processing, governing dynamics of representations
2. Governing Dynamics
The dynamics is governed by a nonlinear Schrödinger-type equation in imaginary time:
iℏ ∂ψ/∂t = H ψ + nonlinear terms
Where the Hamiltonian H is non-Hermitian and non-normal, decomposed into:
- Hermitian part (H† = H): Recognition via dissipative localization at landscape minima
- Anti-Hermitian part (H† = -H): Information broadcasting via spatial spreading across state space
The nonlinear Lotka-Volterra-type term preserves norm and enables spatially nonlocal interactions.
3. Subliminal → Preconscious → Conscious Hierarchy
The model naturally reproduces the three-tier processing hierarchy:
| Level | Dynamics | Condition |
|---|
| Subliminal | Weakly localized, dissipative | Below both thresholds |
| Preconscious | Intermediate localization | One threshold exceeded |
| Conscious | Bound state emergence | Both landscape depth AND top-down attention exceed thresholds |
4. Conscious Access as Bound State
Key insight: Conscious access corresponds to the emergence of a bound state in the complex potential well. This requires:
- GNW landscape depth ≥ threshold (bottom-up signal strength)
- Top-down attention ≥ threshold (attentional amplification)
Both must be satisfied simultaneously — explaining why weak stimuli require attention to reach consciousness.
5. Complementary Processes
The Hermitian and anti-Hermitian parts generate complementary processes:
- Recognition (Hermitian): Dissipative localization → pattern identification
- Broadcasting (anti-Hermitian): Spatial spreading → global availability (GNW "ignition")
Mathematical Structure
Hilbert Space Formulation
- Perceptual state space → Hilbert space structure
- Cloud function ψ(x,t) encodes mental representations
- Non-Hermitian Hamiltonian H = H_hermitian + H_antihermitian
Nonlinear Schrödinger Equation
∂ψ/∂t = -(i/ℏ)Hψ + NL(ψ)
Where NL(ψ) is the Lotka-Volterra nonlinear term preserving ||ψ||².
Bound State Criterion
Conscious access occurs when:
- Landscape depth V₀ > V_critical
- Attention parameter A > A_critical
- Both conditions satisfied simultaneously → bound state emerges
Novelty & Contributions
- First unified GNW dynamics: Links sensory encoding and conscious access in single framework
- Complex-valued landscape: Novel effective potential formalism for consciousness
- Non-Hermitian quantum analogy: Uses non-normal Hamiltonian structure for complementary recognition/broadcasting
- Tractable dynamics: Provides mathematically tractable description of consciousness transitions
- Threshold mechanism: Explains conscious access as bound state emergence
Applications
- Modeling conscious access transitions
- Studying attention-consciousness interactions
- Understanding subliminal vs supraliminal processing
- Building computational models of GNW
- Analyzing disorders of consciousness
Related Work
- Global Neuronal Workspace (GNW) theory (Dehaene et al.)
- Non-Hermitian quantum mechanics
- Neural field theories
- Consciousness theories (IIT, HOT, etc.)
- Schrödinger-type neural models
Limitations
- Phenomenological model — not derived from first principles
- Requires empirical validation of landscape parameters
- Complex-valued formalism may be mathematically challenging to simulate
- Bound state criterion needs experimental testing
References
- arXiv:2607.08302 — "A Non-Hermitian Potential Well Formalism for Conscious--Preconscious--Subliminal Processing"
- Authors: Vasily Lubashevskiy, Ihor Lubashevsky
- Categories: q-bio.NC, nlin.AO
- Submitted: 2026-07-09
Last updated: 2026-07-12
