Interactive Demonstration / Resource

QDL Admissibility Calculator

The QDL Calculator is an executable demonstration of the same closure logic used in the research program: candidate structures are tested not only for dimensional balance, but for admissibility under declared closure rules.

In the QDL Lattice interpretation, space is modeled not as absolute emptiness, but as a closure-compatible lattice of recurrence. Particles are persistent localized modes of that same structure, and geometry is investigated as a possible large-scale response of collective closure stress. This tool shows the structural-admissibility layer of that program in a public, editable form.

QDL Lattice Closure-persistent recurrence Structural admissibility 3L + 2F ledger QDC = L³F² Modular diagnostic charge SMEFT example Measurement integrity Executable validation

Use Calculator Watch the Structural Primer QDL in 5 Minutes QDL Lattice Picture Framework Flagship Monograph View Publications

Poster frame for the QDL Structural Admissibility animation

New to ledger vectors?

Watch the five-minute structural-admissibility primer before using the calculator. It begins with a measured orbital construction, declares the basis, target, allowed transforms, and scope, then converts the construction into a ledger vector and tests admissibility.

Watch the Primer Continue to Calculator Complete Visual Guide

1) Canonical 3L + 2F ledger input

The basis is fixed here to the canonical QDL-style form: three length slots and two frequency slots. Enter the integer exponents for the expression or operator you want to test.

Axis 1

Axis 2

Axis 3

Axis 4

Axis 5

L₁ exponent

L₂ exponent

L₃ exponent

F₁ exponent

F₂ exponent

Canonical cell: QDC = L³F², represented here by the closure direction q = (1, 1, 1, 1, 1).

Default interpretation: exact subgroup membership means the declared ledger vector must equal k·q for some integer k.

Charge panel: Δ is kept configurable so the public tool remains useful before final paper-specific charge conventions are frozen.

2) Closure rule and diagnostic charge

The default closure direction is the QDC direction. You can leave these defaults for public demonstration, or edit them when you want to test alternative subgroup or congruence rules.

Closure direction q

Congruence weights w

View mode

SMEFT preset uses the published-style (a,b) grading; other presets remain canonical ledger demonstrations.

Modulus m

Admissibility mode

Worked example

Enter a ledger vector and compute.

No result yet.

Δ not computed yet.

Admissibility explanation will appear here.

Worked-example note will appear here.

Named operator mapping will appear here.

Current display mode will appear here.

Generated report

How this fits the QDL Lattice picture

The calculator does not try to simulate microscopic lattice dynamics. It demonstrates the upstream admissibility check: before a model, operator, or measurement relation is trusted, QDL asks whether its declared structure closes under the chosen ledger rule.

QDL Lattice → Declared vector → Closure rule → Admissibility

Use: pre-dynamical structural filtering before model reliance, fitting, publication, certification, measurement-chain interpretation, or deployment.

Visual orientation: for the outreach explanation behind the QDL Lattice picture, see the QDL Planck Worldview Animation.

Claim-status note: this public calculator demonstrates closure-admissibility logic. It does not claim to simulate microscopic QDL lattice cells or complete the full derivation of spacetime, gravity, spin, or the particle spectrum.

3) Worked examples

These presets are framed as public demonstration cases. They show how the same ledger logic can be used across EFT structure, ordinary dimensional mistakes, and measurement relations.

How to read the output

Ledger vector: the integer 5-slot representation of the expression in the canonical basis.

Exact membership: passes only when v = kq for some integer k.

Transverse remainder: the part of v not captured by q; nonzero remainder means non-closure.

Δ: a modular diagnostic that can be used as a selection-rule style summary.

Export-ready cheat-sheet panel

A compact summary of the current configuration and result. This can be copied and reused for reports, discussions, or documentation.

QDL QUICK SHEET

Basis: (L₁, L₂, L₃, F₁, F₂)

Canonical QDC direction: q = (1,1,1,1,1) ≡ L³F²

Current vector: v = (0,0,0,0,0)

Rule: admissible iff v = kq for integer k

Diagnostic: Δ = w·v mod m

Status: not computed

Example: none selected

View: 3L+2F ledger projection

Use: pre-dynamical structural filter before model reliance or further calculation

How to use this tool

Enter a ledger vector or select a worked example.

Evaluate whether the structure satisfies the declared closure rule.

Compare admissible and inadmissible configurations.

Use the result as a structural check before further modeling or interpretation.

Interpret the result inside the declared audit

The calculator performs the ledger test. The result is meaningful only after the basis, target, allowed transforms, and scope have been fixed. “Excluded” means excluded under that declared rule set; it does not by itself mean empirically false.

Read the Closure Rule Review the Worked Example