A=1 Discrete Causal Lattice
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News

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News from the A=1 Discrete Causal Lattice series: paper releases, Zenodo deposits, talks, audit-row flips, and framework milestones in discrete-spacetime physics.

Project updates from the A=1 Discrete Causal Lattice series: paper releases, Zenodo deposits, talks, audit-row flips, and framework milestones.

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New essay: Counting Is a Discovery. Seconds Are a Decision.

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essay
methodology
calibration
framing

A new essay on a discipline that runs underneath the whole A=1 program: keeping the counting engine free of imported constants. A number you can count from the lattice is a discovery; a number you must import is a decision — and in a sentence they look identical, which is how a chosen constant ends up restated as a prediction. The fix is structural: we do not hard-code constants.

Jul 4, 2026

New essay: The same-but-different motif

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essay
methodology
abduction
framing

When you cannot see a generator directly, how do you gain confidence you have guessed the right one? A new essay on the “same but different” motif as a subjective, prior-shifting cue for the modeler — with a guard against apophenia, and three illustrations held to it.

Jun 22, 2026

New essay: Expressive power, not ontology

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essay
philosophy of science
falsifiability
framing

Is the A=1 lattice “real”? That’s the wrong question. A new essay on why the realism question isn’t well-posed, why that doesn’t make the lattice unfalsifiable theology, and why conceding “not the truth” costs the program nothing while “no better than any alternative” would cost everything.

Jun 12, 2026

New: a public roadmap for the A=1 program

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site
roadmap
project

A single page tracking the operational status of every subproject, paper, and research investigation in the A=1 Discrete Causal Lattice series — grouped In Progress / Todo / Done, generated from the public project board.

Jun 10, 2026

dcl-core v0.2.1: exact integer A=1, and the hunt for a probability floor

true
release
dcl-core
software
delta-p-min
discrete-probability

dcl-core v0.2.1 (the v0.2.0 release plus a patch) is deposited on Zenodo and tagged on GitHub. Its integer-token engine lets us test discrete A=1 against continuous probability — and ask whether there is a minimum Δp, a floor.

Jun 9, 2026

New essay: answering the retrodiction charge

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essay
methodology
retrodiction
audit

A new essay takes the retrodiction objection head-on — and answers the strong form, not the easy one: the freeze refutes post-hoc tuning, minimality bounds design-time selection, and only the novel predictions clear the rest.

Jun 9, 2026

New: an explorable 3D lattice model

true
release
artifact
visualization
dcl-lattice-viewer
3D

dcl-lattice-viewer v0.1.0 turns A=1 lattice state into browser-explorable 3D models — and the first one is now live on the site, a rotatable lattice you can drag, zoom, and pan in place.

Jun 7, 2026

New essay: is the causal lattice a sparse slice?

true
essay
geometry
dimension
optical-axis

Prompted by the new unit-cell model — the lattice uses six of the eight cube body-diagonals as causal links, and the two it omits are exactly the optical axis. An essay on reading the 3D lattice as a subset of something denser, and what would settle it.

Jun 7, 2026

New essay: effective descriptions and the dynamics they discard

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essay
effective-theory
emergence
atomic-structure

A new essay asks whether some aspects of quantum mechanics are effective descriptions hiding richer behavior — the lattice reaches familiar atomic structure through coupled dynamics more involved than the effective picture it reproduces.

Jun 6, 2026

New: a reviewer-facing claim map for Papers I & II

true
site
papers
audit
claim-map

A one-page map of what the A=1 series proves versus what it conjectures — every claim from Papers I and II labelled Proven / Conjectured / Disconfirmed and tied to its native PASS / PART / STUB / FAIL audit tag.

Jun 5, 2026

New essay: what happens at high energy?

true
essay
dispersion
high-energy
inertia

A new essay answers the standard high-energy objection to discrete spacetime — on the A=1 lattice, inertia and amplitude are one conserved quantity split by the phase-rate, and that same rate caps energy per mode.

Jun 3, 2026

New essay: lattice birefringence

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essay
birefringence
anisotropy

A new essay traces how directional birefringence in the A=1 lattice fell out of the Dirac derivation — an analytic prediction whose two audit rows remain open.

Jun 1, 2026

δp_min investigation: Phase 1+2 progress

true
investigation
progress

Three audit rows flipped from STUB. The δp_min investigation — a Paper III v1.0 prerequisite — is next blocked on dcl_core v0.2.0 exposing a prob_floor parameter.

May 27, 2026

dcl_core v0.1.0 deposited

true
release
software

The simulation engine underlying the A=1 Discrete Causal Lattice series has its first citable release. Two engines under one import: a verbatim port of Paper I’s continuous-amplitude formulation, and a new integer-token reimplementation that enforces A=1 by integer arithmetic — no float renormalisation in the core invariant.

May 22, 2026

Paper II — Geometry Forces Physics

true
release
paper
revision

Paper II at v1.01 — a metadata-only release of the Lie-algebra study characterising the Standard Model gauge group SU(3) × SU(2) × U(1) as a factor-product projection of the A=1 lattice’s symmetry algebra: containment, not equality.

May 19, 2026

Site launched

true
meta
site

The public site for the A=1 Discrete Causal Lattice series is now online — a single entry-point for papers, research artifacts, and program news.

May 19, 2026

Paper I — Geometry First (v1.0)

true
release
paper

Paper I of the A=1 Discrete Causal Lattice series — emergent Lorentz invariance, the Dirac equation, and the Born rule from a single conservation law on a discrete-spacetime causal lattice.

May 7, 2026
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© Jack D. Menendez. Site code: MIT; prose: CC BY 4.0.

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