|ψ⟩ = α|0⟩ + β|1⟩

Phosphorus-31 Assistive technology
for neurodivergent minds

Building the tools that don't exist yet — communication processing, sensory regulation, executive function support. Open source, offline-first, mesh-resilient. Built by the people who need them.

0 core components
0 cloud dependencies
A2.0 Apache licensed
offline uptime

The Stack

Three layers. Each works independently. Together they form a mesh —
no single point of failure. Every node is a peer.

HARDWARE 21 CFR § 890.3710

Node One

Open-source handheld for sensory regulation and off-grid communication. ESP32-S3, haptic feedback engine (DRV2605L), LoRa mesh networking. No internet required. No phone required. No permission required.

ESP32-S3LoRa 915MHzDRV2605LOLEDMeshtastic
SOFTWARE Cures Act § 3060

The Buffer

Communication processing layer. Detects emotional voltage — urgency, coercion, shame, threat patterns — before messages reach a vulnerable person. Holds incoming signal. Gives you time to think. Time you were never given.

FastAPIRedisLocal LLMWebSocketPython
INTERFACE WCAG 2.1 AA

The Scope

Unified dashboard. Medication tracking, cognitive metrics, environmental sensing, mesh network status. Your entire executive function stack in one place. Not a wellness app — a cognitive prosthetic.

ReactTauriViteCapacitorD3.js

Background Independent Security

Traditional encryption assumes computational difficulty. We assume physics.
SIC-POVM measurement geometry detects eavesdropping through system tomography — not error rates.

Cuboctahedron Icosahedron Octahedron
SIC-POVM Condition
|⟨ψᵢ|ψⱼ⟩|² = 1/(d+1) for i ≠ j
Four quantum states forming a regular tetrahedron inscribed in the Bloch sphere. Maximum information extraction with minimum disturbance.
Wye → Delta Transform
Z_Δ = (Z₁Z₂ + Z₂Z₃ + Z₃Z₁) / Zₒₚₚ
Every centralized topology can be replaced with a mesh. Every hierarchy can be dissolved into peers. The same math that rewires circuits rewires systems.
Fuller's Synergetic Constant
V_tet = 1 (not 1/3 · b · h)
Nature doesn't use cubic coordinates. The tetrahedron is the minimum structural system. Unit volume = 1. Everything else is a frequency of it.
Von Neumann Entropy
S(ρ) = −Tr(ρ log₂ ρ)
Uncertainty is not noise — it is signal. The Buffer measures communication entropy to detect coercive patterns before they reach the operator.

The Problem

"We do not have assistive technology for the largest disability demographic on the planet. We have wellness apps."
15–20% of the global population is neurodivergent
55% of commercial AT wearables for autism have undefined FDA status (PMC 2024)
0 open-source cognitive prosthetics existed before this project

Wheelchair ramps exist because someone in a wheelchair demanded them. Screen readers exist because a blind engineer built one. Closed captions exist because Deaf advocates sued for them.

There is no equivalent infrastructure for cognitive disability. No communication prosthetic that processes emotional subtext. No executive function scaffold that works offline. No sensory regulation tool that doesn't require a smartphone and a subscription.

P31 builds them. Open source. Apache 2.0. Mesh-resilient. Because the person who needs it most is often the person least able to navigate the system that would provide it.

Built By Need

Will Johnson

Founder & Principal Engineer

16 years as a federal submarine electrician. Diagnosed AuDHD in 2025 — after decades of building workarounds that turned out to be assistive technology prototypes. Now building them for real.

P31 Labs is a Georgia 501(c)(3) nonprofit in formation, operating under Hack Club HCB fiscal sponsorship.

Submarine Electrical Systems
Quantum Information Theory
Embedded Systems (ESP32)
Network Topology
Fullerian Synergetics
Lived Experience (AuDHD)

Join the Mesh

Every node strengthens the network.