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Independent AI Research

A Neural Architecture
Grounded in Physics

PGAN combines proven mathematical theory, hippocampal neuroscience, and phase oscillator dynamics into a single architecture that learns after deployment.

Scroll
8
Human Patients Matched
7.2x
Hopfield Density
3
Papers with DOI
245M
Parameters

The Problem

Every AI today is
frozen after training

GPT, Claude, Gemini, Llama — they all share the same fundamental limitation. Knowledge is distributed across billions of weight parameters with no address, no structure, no way to update a single fact without retraining the entire model.

The industry workaround is RAG: copy-pasting retrieved text into the prompt. It is expensive, it scales poorly, and it forgets everything when you close the session.

Our Approach

Build AI the way
the brain works

The hippocampus does not use matrix multiplications. It uses phase-coupled oscillators — theta rhythms that gate gamma-frequency information in real time. We implement this mechanism directly.

The result is PGAN: an architecture where knowledge lives as explicit phase patterns. One Hebbian update — a single multiplication — writes a new fact. No backpropagation, no GPU, microseconds on a $3 chip.

Architecture

Three streams,
one equation

Each component is derived from mathematical theory and validated experimentally. The CNOT gate equation is identical to hippocampal theta-gamma coupling — not an analogy, the same differential equation.

S1 Memory
Slow Stream

Dense Associative Memory on the unit circle S¹. Patterns stored as explicit phase vectors — addressable, readable, writable in-place.

Capacityα* = 1.0 (proven)
vs Hopfield7.2x denser
UpdateHebbian (online)
S2 Attention
Fast Stream

Dense Associative Memory on the sphere S². Mathematically equivalent to Transformer attention, but derived from capacity theory.

Capacityα ≥ 1.56 (proven)
Retrieval1-step closed-form
Equalssoftmax attention
CNOT Gate
Phase Gating

Injection-locking dynamics that couple S1 and S2. Validated against hippocampal theta-gamma recordings from human patients.

Validation8 patients matched
Patients8 (hippocampal)
LogicTuring complete
CNOT Phase Gate — Injection-Locking Dynamics
dφ/dt = ω + K · cos(φslow) · sin(φfastφout)
Identical to the hippocampal theta-gamma coupling equation

What No Other AI Can Do

An AI that remembers
after you close the chat

Every language model today — GPT, Claude, Gemini, Llama — is frozen after training. Close the session and everything is forgotten. PGAN is fundamentally different. It learns new facts on the device, in microseconds, without cloud, without GPU, without retraining.

Day — Fast Learning
Microseconds per fact

You talk to the model. It instantly encodes new associations into its phase memory — a dedicated, addressable memory layer inspired by the hippocampus. No training loop, no optimizer, no gradient computation. A single mathematical operation.

Pattern association strength increases 4.4x in seconds
Works on CPU — tested on $80 NVIDIA Jetson
No catastrophic forgetting — new facts don't overwrite old ones
Night — Consolidation
Like sleep in the brain

While idle, the model consolidates daily memories into permanent weights — exactly like the hippocampus replays experiences during sleep. The temporary memory resets, ready for the next day. Knowledge becomes permanent without cloud computing.

Consolidation runs locally on device — no data leaves
Automatic rollback if quality degrades — built-in safety
Inspired by hippocampal replay in neuroscience
Privacy by Architecture

Your personal knowledge lives in one separable layer. Remove it — and the model is clean, shareable, with zero private data. No differential privacy algorithms, no federated learning infrastructure, no "machine unlearning" research needed. The architecture enforces privacy by design.

One file
Your private knowledge
is one separable file.
Size scales with model
capacity — from MBs
to a single photo.
Why This Is Impossible in Transformers
Post-deployment learning Requires full retraining Single operation, microseconds
Memory between sessions Everything forgotten Persistent, save/load
Adding a single fact GPU + hours + $$$ CPU + microseconds + free
Catastrophic forgetting New overwrites old Phase isolation prevents it
Removing personal data Impossible (distributed) Delete one file
Hardware requirement Cloud GPU $3 microcontroller

Publications

Peer-reviewable
research

Three papers deposited on Zenodo with DOI. Covering capacity theory, spherical attention, and neuroscience validation.

Labs · Live Demo

Phase oscillators,
applied to proteins

The same coupled-oscillator physics that powers PGAN's S1 memory generalises to molecular dynamics. DynamicsFold runs two complementary propagators: a zero-shot v3 head (129 K trainable params + frozen ESM-2) that predicts trajectories directly from sequence, and a per-system v2 model (349 K params per domain) trained on a short MD seed. Both evolve the torus manifold without the κ-rescaling heuristic that plagues first-generation methods.

DynamicsFold
Watch proteins move · in your browser

Upload a PDB structure, pick a mode. Zero-shot — ESM-2 reads the sequence and the v3 head generates a trajectory in ~2 minutes, no training. Per-system — a phase-flow ODE trains on a short MD seed, then rolls out thousands of frames 14× faster than classical MD. The trajectory streams to an NGL Viewer canvas so you can watch the protein breathe.

v3 Trainable
129K
v2 /domain
349K
v3 beats v2
4/5 hold-out
Zero-shot
~2 min

Result · zero-shot generalisation

4/5 hold-out · v3 beats v2

On five mdCATH domains the model never saw during training, zero-shot v3 beats per-system v2 on 4/5 in NLL and 4/5 in KL. Sequence generalises the phase-flow dynamics — the head does not need to retrain.

Stack

SequenceESM-2 t12_35M (frozen)
EncoderPhase-flow ODE (T₀ = 4, RK4 adjoint)
MemoryS¹ Dense AM, 24 basins (v2)
CouplingCNOT, cos(φ) sin(φ−φ′)
HeadMixture von Mises ∈ T2N
HostingJetson Orin · Cloudflare Tunnel
Step 1
Drop a PDB
Any single-chain protein structure. Waters & heterogens auto-stripped; hydrogens added.
Step 2
Choose mode
Zero-shot (v3 + ESM-2, no training) for speed. Per-system (v2, seed MD + 4000 steps) for sharper fidelity.
Step 3
Model propagates
Per-residue torus dynamics on T2N. Basin-memory layer absorbs αₓ, β, αₗ, P₂ inductively.
Step 4
Rollout & watch
Predicted trajectory rendered live in NGL Viewer. Scrub, play, switch representations.

Roadmap

From software
to silicon

Now
Software PGAN
245M parameters training on Polish Wikipedia. Knowledge distillation from Bielik 11B.
Next
Edge Deployment
Instruction-tuned model on NVIDIA Jetson and Raspberry Pi. Offline voice assistant.
Medium
Live Learning
Persistent S1 memory between sessions. AI that remembers without retraining or cloud.
Vision
Analog Hardware
FPGA prototype with real oscillators. Path to ASIC. LLM without GPU, on $1 hardware.

Contact

Let's talk

Research collaboration, investment, or technical questions.

Founder
Krzysztof Gwóźdź
krzysztof.gwozdz@myreson.ai
General
MyReson AI
office@myreson.ai