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3 changes: 3 additions & 0 deletions _config.yml
Original file line number Diff line number Diff line change
Expand Up @@ -56,6 +56,9 @@ collections:
output: true
permalink: /corpus/changelog/:name/
sort_by: date
corpus_v3_items:
output: true
permalink: /id/:name/
predictions:
output: true
permalink: /predictions/:name/
Expand Down
100 changes: 100 additions & 0 deletions _corpus_v3_items/cid000001.md
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---
layout: corpus-v3-item
permalink: /id/cid000001/
title: Book II — The τ-Kernel
cid: cid000001
primary_alias: BOK0001
type: monograph
lane: corpus
status: active
visibility: public
current_version: v1
release_lines:
- corpus_v3_working
summary: 'Book II of the Panta Rhei monograph series. Presents the five generators, the primitive progression operator, K0-K6,
multiplicative and exponential address structure, boundary algebra, τ-holomorphy, and internal truth machinery. The τ-Kernel
that all later books build on.

'
aliases:
- BOK0001
- book-ii
layers: []
domains:
- math.foundation
- geometry.calibration
relations: []
depends_on: []
appears_in: []
formalized_by: []
sources: []
contains:
- cid000002
- cid000007
- cid000008
- cid000010
part_of: []
history:
- version: v1
date: '2026-05-10'
event: initial_corpus_item_seed
external_identifiers:
doi: null
wikidata: null
github: null
osf: null
isbn: null
arxiv: null
payload:
kind: external_artifact
canonical_artifact:
type: book_pdf
url: https://panta-rhei.site/publications/books/book-ii/
doi: null
isbn: null
hash: null
version: '1.0'
abstract:
markdown: 'Book II establishes the τ-Kernel: the minimal machinery from which all

subsequent constructions derive. We introduce the five generators, the

progression operator, the K0-K6 axioms, multiplicative and exponential

address structures, boundary algebra, the τ-holomorphy condition, and

the internal truth machinery (τ-topos + four-valued logic).

'
short_summary: 'The τ-Kernel construction — generators, progression operator, K-axioms, boundary algebra, τ-holomorphy,
internal truth machinery.

'
citation_markdown: 'Fuchs, Thorsten, and Anna-Sophie Fuchs. *Book II — The τ-Kernel*.

Panta Rhei Research Program, 2026.

'
citation_metadata:
authors:
- Fuchs, Thorsten
- Fuchs, Anna-Sophie
year: 2026
publisher: Panta Rhei Research Program
edition: First Edition
formalization: {}
proof: {}
result: {}
commentary: {}
tombstone: false
superseded_by: ''
retired_at: ''
retirement_reason: ''
refuted_at: ''
refutation_reason: ''
description: Book II of the Panta Rhei monograph series. Presents the five generators, the primitive progression operator,
K0-K6, multiplicative and exponential address structure, boundary algebra, τ-holomorphy, and internal truth machinery. The
τ-Kerne
noindex: false
---

75 changes: 75 additions & 0 deletions _corpus_v3_items/cid000002.md
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@@ -0,0 +1,75 @@
---
layout: corpus-v3-item
permalink: /id/cid000002/
title: Book II Chapter 5 — Master Constant Calibration
cid: cid000002
primary_alias: CHP0001
type: chapter
lane: corpus
status: active
visibility: public
current_version: v1
release_lines:
- corpus_v3_working
summary: 'Chapter 5 of Book II derives the master constant ι_τ = 2_τ / (π_τ + e_τ) as the calibration crossing fixed by earned
boundary constants and lobe-swap invariance.

'
aliases:
- CHP0001
- book-ii-chapter-5
layers: []
domains:
- math.foundation
- geometry.calibration
relations: []
depends_on: []
appears_in: []
formalized_by: []
sources: []
contains:
- cid000007
- cid000008
- cid000010
part_of:
- cid000001
history:
- version: v1
date: '2026-05-10'
event: initial_corpus_item_seed
external_identifiers: {}
payload:
kind: external_artifact
canonical_artifact:
type: html
url: https://panta-rhei.site/publications/books/book-ii/chapter-5/
abstract:
markdown: 'We define the earned boundary constants (DEF0001), establish their

lobe-swap invariance (LEM0001), and derive the master constant

calibration ι_τ = 2_τ / (π_τ + e_τ) as the unique crossing fixed

by the construction (THM0001).

'
short_summary: 'Derives ι_τ as the calibration crossing fixed by earned boundary constants and lobe-swap invariance.

'
formalization: {}
proof: {}
result: {}
commentary: {}
tombstone: false
superseded_by: ''
retired_at: ''
retirement_reason: ''
refuted_at: ''
refutation_reason: ''
description: 'Chapter 5 of Book II derives the master constant ι_τ = 2_τ / (π_τ + e_τ) as the calibration crossing fixed by
earned boundary constants and lobe-swap invariance.

'
noindex: false
---

81 changes: 81 additions & 0 deletions _corpus_v3_items/cid000003.md
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@@ -0,0 +1,81 @@
---
layout: corpus-v3-item
permalink: /id/cid000003/
title: The Panta Rhei Construction Spine
cid: cid000003
primary_alias: DOS0001
type: research_dossier
lane: corpus
status: active
visibility: public
current_version: v1
release_lines:
- corpus_v2
- corpus_v3_working
summary: 'The Construction Spine dossier traces the program''s construction from the E0 substrate through E1 (physics), E2
(life), and E3 (reflection) layers. Each Construction Spine step (S001-S121) is itself a Corpus Item (construction_step
type) and is referenced from this dossier.

'
aliases:
- DOS0001
- WP-RC-CS-E0-E3
- construction-spine
layers:
- cross_layer
domains:
- math.foundation
- physics.micro
- physics.cosmology
- life.code
- reflection.language
relations: []
depends_on: []
appears_in: []
formalized_by: []
sources: []
contains: []
part_of: []
history:
- version: v1
date: '2026-05-10'
event: initial_corpus_item_seed
external_identifiers:
doi: null
github: null
payload:
kind: external_artifact
canonical_artifact:
type: html
url: https://panta-rhei.site/corpus/construction-spine/
abstract:
markdown: 'The Construction Spine is the program''s backbone construction —

a 121-step sequence from the E0 substrate (the τ-Kernel) through

E1 (physical readout), E2 (life closure), and E3 (reflection

machinery). Each step is a stand-alone Corpus Item carrying its

construction obligations and dependencies.

'
short_summary: 'The 121-step construction sequence from E0 substrate to E3 reflection.

'
formalization: {}
proof: {}
result: {}
commentary: {}
tombstone: false
superseded_by: ''
retired_at: ''
retirement_reason: ''
refuted_at: ''
refutation_reason: ''
description: The Construction Spine dossier traces the program's construction from the E0 substrate through E1 (physics),
E2 (life), and E3 (reflection) layers. Each Construction Spine step (S001-S121) is itself a Corpus Item (construction_step
type) an
noindex: false
---

101 changes: 101 additions & 0 deletions _corpus_v3_items/cid000004.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,101 @@
---
layout: corpus-v3-item
permalink: /id/cid000004/
title: Categorical AI
cid: cid000004
primary_alias: PAP0001
type: research_paper
lane: corpus
status: active
visibility: public
current_version: v1
release_lines:
- corpus_v3_working
summary: 'Presents a substrate-aligned framework for reading modern AI architectures through the τ-Kernel construction. Includes
falsifiable predictions about hallucination, in-context generalization, and architectural reliability.

'
aliases:
- PAP0001
- categorical-ai
layers:
- E1
- E2
domains:
- ai.alignment
- ai.interpretability
- ai.reliability
relations: []
depends_on: []
appears_in: []
formalized_by: []
sources: []
contains:
- cid000015
- cid000016
part_of: []
history:
- version: v1
date: '2026-05-10'
event: initial_corpus_item_seed
external_identifiers:
doi: null
arxiv: null
payload:
kind: external_artifact
canonical_artifact:
type: pdf
url: https://panta-rhei.site/publications/papers/categorical-ai/
doi: null
osf: null
hash: null
abstract:
markdown: 'This paper presents a substrate-aligned framework for reading modern

AI architectures (transformer, mixture-of-experts, recurrent, hybrid)

through the τ-Kernel construction. We articulate prediction families

around hallucination as patch failure, in-context generalization as

finite-budget coherence extension, and architectural reliability as

a function of substrate-alignment depth.

'
latex: 'This paper presents a substrate-aligned framework for reading modern

AI architectures through the τ-Kernel construction...

'
short_summary: 'Presents a substrate-aligned architecture map and prediction catalog for modern AI systems.

'
citation_markdown: 'Fuchs, Thorsten, and Anna-Sophie Fuchs. *Categorical AI: A Substrate-Aligned

Framework and Falsifiable Predictions*. Panta Rhei Research Program, 2026.

'
citation_metadata:
authors:
- Fuchs, Thorsten
- Fuchs, Anna-Sophie
year: 2026
publisher: Panta Rhei Research Program
formalization: {}
proof: {}
result: {}
commentary: {}
tombstone: false
superseded_by: ''
retired_at: ''
retirement_reason: ''
refuted_at: ''
refutation_reason: ''
description: 'Presents a substrate-aligned framework for reading modern AI architectures through the τ-Kernel construction.
Includes falsifiable predictions about hallucination, in-context generalization, and architectural reliability.

'
noindex: false
---

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