RSIT Geometric Construction Package: Golden Spiral as Ruler and Generator of the Locked Marks (2 November 2026)

Working package, not a journal paper. Not a detection. Not a joint MCMC. Does not revise the locked core. Prior deposits are not replaced. The golden spiral construction (unit square of side 1, successive squares scaled by 1/φ, 1/φ², 1/φ³, …) is presented as the generative ruler of the locked geometric door. The sequence supplies both the measure and the demonstration: • w₀ = −φ/2 = −cos 36° ≈ −0.809 • wₐ = −1/φ = −2 sin 18° ≈ −0.618 • crossing at z = 1/√5 ≈ 0.447 where w = −1 The residual class A ≈ 0.040 (window [0.03, 0.05]) remains the beginning mark of unfinished first-moment coverage. After the start the house grows and stretches; the digit is not hunted later. Interface I recovers general relativity and the Standard Model when the residual gate is closed. Zero extra free parameters. No fourth door. Cover shows four stages of the construction (unit mark, φ-power squares, spiral + complex-plane hint, 36°/45° families with pentagon and golden triangle) plus micro-explainers. Second page is the dense connection statement linking the construction to the locked marks and to the selective-retention operator Retained = Select(Options | Conditions). Selected prior deposits (late September–October 2026) are named and linked; this package is its own deposit. Explainers and links are connections only. Assembly and algebra check: Grok (xAI), editor line only. Not a co-author claim.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23888445
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

RSIT Geometric Construction Package: Golden Spiral as Ruler and Generator of the Locked Marks (2 November 2026)

Daryl Jacobs
5 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

RSIT Geometric Construction Package: Golden Spiral as Ruler and Generator of the Locked Marks (2 November 2026)

Daryl Jacobs
article en

Abstract

Working package, not a journal paper. Not a detection. Not a joint MCMC. Does not revise the locked core. Prior deposits are not replaced. The golden spiral construction (unit square of side 1, successive squares scaled by 1/φ, 1/φ², 1/φ³, …) is presented as the generative ruler of the locked geometric door. The sequence supplies both the measure and the demonstration: • w₀ = −φ/2 = −cos 36° ≈ −0.809 • wₐ = −1/φ = −2 sin 18° ≈ −0.618 • crossing at z = 1/√5 ≈ 0.447 where w = −1 The residual class A ≈ 0.040 (window [0.03, 0.05]) remains the beginning mark of unfinished first-moment coverage. After the start the house grows and stretches; the digit is not hunted later. Interface I recovers general relativity and the Standard Model when the residual gate is closed. Zero extra free parameters. No fourth door. Cover shows four stages of the construction (unit mark, φ-power squares, spiral + complex-plane hint, 36°/45° families with pentagon and golden triangle) plus micro-explainers. Second page is the dense connection statement linking the construction to the locked marks and to the selective-retention operator Retained = Select(Options | Conditions). Selected prior deposits (late September–October 2026) are named and linked; this package is its own deposit. Explainers and links are connections only. Assembly and algebra check: Grok (xAI), editor line only. Not a co-author claim.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 16%
Advanced Mathematical Theories and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon