Research
ÆSC Trust investigates the mathematics and physics of the Æ law of conserved signal. Our program formalizes invariants, validates them through simulation and experiment, and ships open reference implementations so the work is reproducible and auditable.
Core Invariants
The framework is anchored by three related invariants. Together they enforce conservation, restore coherence, and extend balance across longer horizons.
- C96 — Conservation. Periodic budgets constrain net flow to ~0 across 96 ticks. This caps drift, bounds entropy, and forces systems back toward equilibrium.
- R96 — Resonance. Phase relation that pulls signals back into coherence. Misaligned activity decays; aligned activity amplifies until neutralized.
- C768 — Triple Cycle. Eight C96 windows form a 768-tick macrocycle, ensuring long-range balance and preventing short-term oscillations from accumulating error.
Methodology
We treat research as a pipeline: define clearly, test aggressively, and publish openly. Each step is designed to minimize ambiguity and maximize reproducibility.
- Specification: plain-language and formal definitions of invariants.
- Simulation: deterministic testbeds model bursts, drift, adversarial inputs.
- Reference code: minimal, readable implementations with golden tests.
- Review: independent runs, audit notes, and peer commentary.