Constructive Algorithmics for Emergent Lattice Interaction eXperiments
CAELIX is an open-source simulation suite for discrete lattice field experiments. It explores how large-scale, continuum-like behaviour can emerge from strictly local update rules on a finite substrate, rather than assuming continuum physics from the outset and working backwards.
The framework is built around a balanced ternary local state alphabet, deterministic field updates and explicit diagnostics. In practice, CAELIX treats the lattice as a constructive laboratory: a place to test what survives, what fails and what only appears to work until the scaffold is stripped back and the behaviour is measured properly.
The current suite ranges from microstate growth, baseline propagation and diffusion through to interference, confinement, field interaction, lensing, light-clock behaviour, time reversal, breather stability and field-mediated N-body dynamics. These are not presented as isolated curiosities. They form an experimental ladder, moving from calibration and clean baselines towards more structured behaviours where geometry, coupling and boundary conditions start to matter.
Some sequences exist to establish controlled reference behaviour. Others probe more demanding questions: whether interference survives on the lattice, whether confinement can be produced geometrically, whether lens-like delays can arise without being hard-coded, whether structured field motifs persist, and how multi-body motion changes once interactions are mediated through the field rather than imposed directly.
CAELIX is accompanied by white papers, working notes and open-source code intended to make the framework inspectable, criticisable and reproducible. The point is not to present a sealed theoretical claim floating free of evidence, but to expose a working computational testbed that can be rerun, challenged and extended.
The document system links the public experiment layer to the wider research stack: project overview, historical context, white papers, working documents and technical implementation. The homepage summary is therefore not a detached blurb. It is the front door into a larger body of experiments, arguments and supporting material.
CAELIX is built around the idea that a simulation should read as an experiment rather than merely succeed as an animation. The lattice is not treated as a decorative backdrop but as the primary object of study: a discrete substrate whose local update rules, couplings and geometric constraints can be varied in controlled ways while remaining measurable.
A central part of the current framework is the distinction between substrate and carrier. Balanced-ternary microstates define the local state language of the substrate itself, while derived load or carrier fields provide a provisional bridge to larger-scale observables. That bridge is deliberately not sacred. CAELIX is interested in what survives under ablation, repeated runs and structural simplification. If a behaviour vanishes the moment the scaffold is removed, that is useful information too.
CAELIX is now broader than a browser sequence of visual experiments. It is an expanding public framework for discrete lattice field research, combining a phone-first visual front end with supporting documents, deeper implementation work and an increasing emphasis on native runtime validation where the experiments demand more authority than the browser alone can provide.
The site is intended to preserve a coherent public face while still giving readers and researchers a clear route into the underlying structure, evidence and implementation. In that sense, the homepage explains the project to the world. The document stack then explains it in more detail to anyone who wants to go further.