N
Neuroscience
Cerebellar prediction error as the biological instantiation of gradient descent
Research Framework
A Pattern Language for
Complex Systems.
Quantum Oscillator Theory of Everything
A theoretical framework proposing that stable systems — biological, computational, economic, and physical — share a single common feedback topology.
Dr. Michael A. Kayser, DO, FACMG · Kayser Medical PLLC
01 — Core Proposition
The Same Loop Everywhere.
Prediction→Error→Correction→Repeat
| System | Mechanism | Loop |
|---|---|---|
| Cerebellum | Predictive motor control | Prediction error correction |
| Machine learning | Gradient descent | Loss minimization |
| Ecosystems | Population dynamics | Carrying capacity feedback |
| Economies | Supply and demand | Price oscillation |
| AI training | Backpropagation | Error signal correction |
| Cardiac rhythm | Autonomic regulation | HRV oscillation |
These are not analogies. They are instances of the same attractor topology expressed in different substrates.
02 — The Mathematics
Oscillatory Attractors and Toroidal Topology
Stable feedback systems conserve flow. When a loop is stable, energy does not dissipate — it circulates. The geometric object that describes conserved circular flow in two coupled dimensions is a torus.
φ⁻¹ ≈ 0.618
lower coherence threshold
2/3 ≈ 0.667
upper coherence threshold
"The Golden Corridor"
optimal coherence range
Systems operating within this corridor demonstrate stable oscillatory behavior. Systems outside it drift toward either rigid attractor lock or incoherent noise.
Provisional patents filed. Academic submissions in progress.
03 — Domain Applications
One Topology. Every Domain.
AI
AI Systems
Loss minimization as oscillatory coherence seeking
Rx
Clinical Medicine
HRV biofeedback as coherence restoration in dysregulated nervous systems
Ec
Economics
Supply/demand oscillations as coupled attractor dynamics
Ph
Physics
Toroidal field conservation as the geometric substrate of stable systems
As
AI Safety
Coherence gating as the regulatory mechanism between human physiology and AI output
04 — Applied Framework
QOTE Applied: Resona OS
Resona OS is the clinical and computational implementation of QOTE mathematics. It uses coherence thresholds derived from the golden corridor to gate AI output based on real-time human physiological state.
Signal Flow
QOTE Mathematics
Coherence Threshold Definition (φ⁻¹ → 2/3)
Resona OS Middleware
Real-Time Human Physiological State
Regulated AI Output
05 — Research Status
Current Status
Filed
Provisional Patents
CUST gating architecture and coherence mechanisms.
In Progress
Academic Submissions
Oscillatory coherence across biological and computational systems.
Active
n=1 Self-Study
Resona OS physiological protocol. Expanded cohort in development.
06 — Collaborate
Collaborate
Seeking physicists, mathematicians, neuroscientists, AI researchers, and clinicians interested in unified feedback topology.