Systems & Relational Runtime DOI 10.5281/zenodo.20989937

Fundamental — Relational Field Runtime

A platform-native relational field runtime. Elements bend the field; the field bends them back.

An operative physical field runtime that models interactive pull, resistance, and consequence directly, replacing ad-hoc UI state transitions.

v0.11.0 · License: MIT ·Repository ↗ · Zachary Shallbetter (ORCID)
Program Overview

Theoretical Substrate

Fundamental models interface behavior not as isolated transitions within individual components, but as a continuous relational field connecting elements, attention, and cursor dynamics.

The DOM is the first host, not the boundary; the core engine is decoupled from rendering and runs headlessly, in node environments, or in native spatial ports.

Serves as the empirical runtime verification of the force, tension, and coupling concepts developed within the Foundations of Computational Interaction.

Primary Research Questions

  • How can interactive force and resistance be modeled without degrading frame budgets or creating DOM bottlenecks?
  • Can a continuous relational field provide more coherent wayfinding and attention guidance than discrete animations?
  • How does a renderer-agnostic core adapt between 2D web interfaces, headless simulation, and 3D spatial environments?
Formal Contributions

Primary Claims & Invariants

01

Decoupled mathematical field solver executing relational force calculations.

02

Lightweight DOM adapter binding physical bodies to standard HTML layout flows.

03

Verified zero-dependency core architecture running on modern browsers and node runtimes.

04

Persistent concept DOI registered on Zenodo with continuous release tracking.

Corpus & Publications

Papers & Working Manuscripts

2026 · published

Behavior Lives Between Things: Relational Interface Physics

Examines why component-bound state machines fail to capture interactive tension, and how a continuous relational force field creates coherent physical presence in digital systems.

Open Artifacts

Software, Substrates & Datasets

software

@fundamental-engine/core

Renderer-agnostic core simulation engine and mathematical force solvers.

software

@fundamental-engine/dom

DOM observers, layout synchronizers, and field coordinate projection.