Symonic Research

Symonic is an independent quantitative research platform that studies what binary measurement discards—and how to instrument it as measurable signal.

Mission statement

What we study

Symonic Research produces rigorous, data-driven analysis of ternary signal structure: when binary observation is accurate, where it fails, and what conjugate-domain information is systematically dropped.

We focus on S₃—the term binary pipelines treat as noise or absence—and on frameworks that make that structure measurable across physics, biology, social systems, and model internals.

We collaborate with researchers and institutions working on formal measurement, epistemic propagation, and AI interpretability.

Capabilities

Core programs

  • MCORE Ternary measurement framework with state space T = {−1, 0, +1}. Targets geometry in model weights and physical systems that accuracy-only metrics do not resolve. MCORE-1 algebra: 63/63 unit tests passing.
  • Signal Series Public field notes on S₃, conjugate domains, and instrumentation—written for researchers who need durable language before the full paper stack. Series 001 includes an interactive measurement-gap explorer.
  • Contagion Index SIR epidemiological modeling on 47M Reddit comments across 54 finance subreddits. 25/1,144 Granger causality pairs survive Benjamini–Hochberg FDR correction at p < 10⁻⁶.
  • Sound and Uncertainty Uses the Gabor bound (σ_t × σ_f ≥ 1/(4π)) as a concrete proof that conjugate structure is traded away—not optional noise—in every time–frequency measurement.

Publications

Recent work

Signal Series · 2026

The Measurement Gap

Why binary observation keeps producing useful answers while still discarding structure that matters. Includes an interactive ternary measurement lab.

Symonic Research · Field Notes
Working Paper · 2026

Sound and Uncertainty: Why Perfect Knowledge of Audio Is Physically Impossible

σ_t × σ_f ≥ 1/(4π) shows you cannot localize an event in time and resolve its spectrum simultaneously—the same traded-away term across acoustics and quantum phonons.

Acoustic Signal Theory · Symonic LLC
Live on SSRN · 2026

Memetic Volatility Propagation: Cross-Subreddit Sentiment Contagion as a Leading Indicator of Market Volatility

47M comments, 54 subreddits, 25 surviving Granger tests at p < 10⁻⁶ after Benjamini–Hochberg correction—social S₃ as a leading volatility signal.

Contagion Index · Jacob Walker / Symonic LLC
In Development · 2026

MCORE-1: A Ternary Weight Algebra for Narrative Structure in Language Model Representations

TME-6 encoding, GF(3) arithmetic backbone, provably convergent attractor—formal engine for the discarded term in weight geometry.

MCORE-1 · mcore-py
Signal Series · forthcoming

Conjugate Domains

How time/frequency tradeoffs, model residuals, and latent states point to the same missing term.

S₃ Framework · Explainers
Coming soon

Research themes

Where we focus

Acoustic signal structure

Examines conjugate limits on time–frequency resolution. The Gabor bound governs hearing, codecs, and physical phonon measurement alike.

Epistemic propagation

Models how narrative and sentiment spread across networked communities—and which cross-community links survive strict multiple-testing control.

Cosmological structure

Compares binary and ternary rotation-curve fits on 143 SPARC galaxies. 21 systems show large ternary wins (ΔBIC as low as −667).

AI interpretability

Instruments internal weight geometry for the term standard accuracy metrics collapse. The gap between representation and label is structured, not random.

Collaboration

Work with us

Symonic LLC is an independent research platform pursuing SBIR- and DARPA-track work. We welcome concise, evidence-led collaboration requests from research labs, data teams, and institutions in interpretability and formal signal theory.

Share drafts, ideas, or partnership notes by email. No intake forms or third-party trackers on this site.

jacob@symonic.com