10_STACK_I/TENET_I_DoctrinalInvariants.md
Bytes: 26007 | SHA-256: 64455905b49a91153cf73f6321f9f92693030f3573a64a1a6f338ce1008c98a4 | Source: 10_STACK_I/TENET_I_DoctrinalInvariants.md
============================================================
TENET I — MIXTURA (CARRIER LAYER)
Ars Generalis Applied — Unified Carrier System for Principia and Regimen_RQ
Version: 0.1.0-TENET-I-MIXTURA
Status: PROPOSED / CONTROL-PLANE DRAFT
Scope: CARRIER ORDER / MIXTURE DISCIPLINE / NUMERIC STRUCTURE
Authority: AGLA / TENET (LOCAL CONTROL PLANE — STACK I)
Mutation Policy: VERSION-CONTROLLED ONLY
Class: TENET
============================================================
<!-- LOCAL_SECTION_INDEX_START -->
## LOCAL SECTION INDEX
Scope: local anchors within this artifact only. No cross-artifact links are introduced here.
- [I. PURPOSE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-i-purpose)
- [CORE ASSERTION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-core-assertion)
- [II. DOCTRINAL POSITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-ii-doctrinal-position)
- [INTERPRETATION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-interpretation)
- [DISTINCTION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-distinction)
- [III. CARRIER ORDER (ABJAD-BASED)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-iii-carrier-order-abjad-based)
- [STRUCTURE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-structure)
- [PRIMARY SEQUENCE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-primary-sequence)
- [ABSOLUTE PRINCIPLES (A)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-absolute-principles-a)
- [RELATIVE PRINCIPLES (T)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-relative-principles-t)
- [INTERROGATIVE / RULE REGIME ROOT (E)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-interrogative-rule-regime-root-e)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule)
- [IV. REGIMEN INDEXING (A / T / E)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-iv-regimen-indexing-a-t-e)
- [A REGIMEN](#local-section-10-stack-i-tenet-i-doctrinalinvariants-a-regimen)
- [T REGIMEN](#local-section-10-stack-i-tenet-i-doctrinalinvariants-t-regimen)
- [E REGIMEN](#local-section-10-stack-i-tenet-i-doctrinalinvariants-e-regimen)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-2)
- [V. E REGIMEN STRUCTURE (Q / R)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-v-e-regimen-structure-q-r)
- [FORM](#local-section-10-stack-i-tenet-i-doctrinalinvariants-form)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-3)
- [CONSTRAINT](#local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint)
- [VI. TOKEN IDENTITY LAW](#local-section-10-stack-i-tenet-i-doctrinalinvariants-vi-token-identity-law)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-4)
- [CONSTRAINT](#local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint-2)
- [VII. K-SPLIT LAW (EMBEDDED)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-vii-k-split-law-embedded)
- [NUMERIC STRUCTURE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-numeric-structure)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-5)
- [PROHIBITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition)
- [VIII. MIXTURE LAW](#local-section-10-stack-i-tenet-i-doctrinalinvariants-viii-mixture-law)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-6)
- [PROHIBITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition-2)
- [INTERPRETATION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-interpretation-2)
- [NOT:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-not)
- [IX. NUMERIC DISCIPLINE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-ix-numeric-discipline)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-7)
- [CONSTRAINT](#local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint-3)
- [X. DERIVED NUMERIC PROJECTION (APPENDIX — NON-ΣΑΤΟΡ)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-x-derived-numeric-projection-appendix-non)
- [FUNCTION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-function)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-8)
- [PROHIBITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition-3)
- [XI. RELATION TO OTHER LAYERS](#local-section-10-stack-i-tenet-i-doctrinalinvariants-xi-relation-to-other-layers)
- [TENET A:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-a)
- [TENET T:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-t)
- [TENET E:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-e)
- [TENET I:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-i)
- [ROTAS:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rotas)
- [AREPO:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-arepo)
- [OPERA:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-opera)
- [SATOR:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-sator)
- [XII. FAILURE CONDITIONS](#local-section-10-stack-i-tenet-i-doctrinalinvariants-xii-failure-conditions)
- [CARRIER FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-carrier-failures)
- [REGIME FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-regime-failures)
- [TOKEN FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-token-failures)
- [NUMERIC FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-numeric-failures)
- [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-9)
- [XIII. CLOSURE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-xiii-closure)
- [FINAL STATE:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-final-state)
<!-- LOCAL_SECTION_INDEX_END -->
END SECTION 0 — HEADER
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-i-purpose"></a>
I. PURPOSE
============================================================
Define the carrier system governing:
STACK I — MIXTURA
------------------------------------------------------------
TENET_I establishes:
• unified carrier order for A, T, and E regimens
• explicit ordinal-slot mapping
• gematric and cardinal correspondence
• Phoenician carrier stabilization
• mixture-safe indexing discipline
• token-based identity for combinatorics
------------------------------------------------------------
TENET_I does NOT:
• define execution (OPERA)
• define admissibility (AREPO)
• define topology (ROTAS)
• define mediation (SATOR)
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-core-assertion"></a>
CORE ASSERTION
------------------------------------------------------------
Identity in MIXTURA is determined by:
FULL TOKEN PRESENCE
------------------------------------------------------------
NOT by:
• single symbol
• numeric value alone
• partial encoding
============================================================
END SECTION I
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-ii-doctrinal-position"></a>
II. DOCTRINAL POSITION
============================================================
MIXTURA is:
the carrier-level integration layer
for:
• principia absoluta (A)
• principia relativa (T)
• interrogative and rule system (E)
------------------------------------------------------------
Function:
provide a unified indexing system
such that:
all three regimens may coexist
without ambiguity or collision
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-interpretation"></a>
INTERPRETATION
------------------------------------------------------------
TENET_I operates at:
carrier level
------------------------------------------------------------
It does NOT:
redefine doctrinal content
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-distinction"></a>
DISTINCTION
------------------------------------------------------------
TENET A → defines absolute principles
TENET T → defines relative principles
TENET E → defines interrogative doctrine
TENET I → defines how they coexist structurally
============================================================
END SECTION II
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-iii-carrier-order-abjad-based"></a>
III. CARRIER ORDER (ABJAD-BASED)
============================================================
MIXTURA adopts:
ABJAD ORDER (PHOENICIAN-ALIGNED)
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-structure"></a>
STRUCTURE
------------------------------------------------------------
Each carrier defines:
• ORDINAL_SLOT
• SYMBOL (Latin)
• PHOENICIAN CHARACTER
• GEMATRIC VALUE
• CARDINAL VALUE
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-primary-sequence"></a>
PRIMARY SEQUENCE
------------------------------------------------------------
PRE/A
ORDINAL_SLOT = PRE
SYMBOL = A
PHOENICIAN = 𐤀
GEMATRIC = 1
CARDINAL = 1
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-absolute-principles-a"></a>
ABSOLUTE PRINCIPLES (A)
------------------------------------------------------------
Ⅰ B 𐤁 2 2
Ⅱ C 𐤂 3 3
Ⅲ D 𐤃 4 4
Ⅳ E 𐤄 5 5
Ⅴ F 𐤅 6 6
Ⅵ G 𐤆 7 7
Ⅶ H 𐤇 8 8
Ⅷ I 𐤈 9 9
Ⅸ K 𐤉 10 10
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-relative-principles-t"></a>
RELATIVE PRINCIPLES (T)
------------------------------------------------------------
Ⅹ L 𐤊 20 11
Ⅺ M 𐤋 30 12
Ⅻ N 𐤌 40 13
ⅩⅢ O 𐤍 50 14
ⅩⅣ P 𐤎 60 15
ⅩⅤ Q 𐤏 70 16
ⅩⅥ R 𐤐 80 17
ⅩⅦ S 𐤑 90 18
ⅩⅧ T 𐤒 100 19
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-interrogative-rule-regime-root-e"></a>
INTERROGATIVE / RULE REGIME ROOT (E)
------------------------------------------------------------
Uses extended range:
200 → 1000
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule"></a>
RULE
------------------------------------------------------------
No carrier may change:
• ordinal position
• gematric value
• Phoenician mapping
============================================================
END SECTION III
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-iv-regimen-indexing-a-t-e"></a>
IV. REGIMEN INDEXING (A / T / E)
============================================================
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-a-regimen"></a>
A REGIMEN
------------------------------------------------------------
Uses:
slots Ⅰ–Ⅸ
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-t-regimen"></a>
T REGIMEN
------------------------------------------------------------
Uses:
slots Ⅹ–ⅩⅧ
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-e-regimen"></a>
E REGIMEN
------------------------------------------------------------
Uses:
extended numeric carriers
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-2"></a>
RULE
------------------------------------------------------------
Regimen identity is determined by:
carrier range
------------------------------------------------------------
NOT by:
symbol reuse alone
============================================================
END SECTION IV
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-v-e-regimen-structure-q-r"></a>
V. E REGIMEN STRUCTURE (Q / R)
============================================================
E is a ROOT CARRIER DOMAIN
------------------------------------------------------------
E splits into:
Q → interrogatives
R → rules
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-form"></a>
FORM
------------------------------------------------------------
E
├── Q
└── R
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-3"></a>
RULE
------------------------------------------------------------
Q and R are:
sub-regimens
within:
E
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint"></a>
CONSTRAINT
------------------------------------------------------------
TENET E defines:
doctrinal structure
TENET I defines:
carrier indexing
============================================================
END SECTION V
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-vi-token-identity-law"></a>
VI. TOKEN IDENTITY LAW
============================================================
Identity is defined as:
FULL TOKEN CHAIN
------------------------------------------------------------
Example:
ERB ≠ EQB
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-4"></a>
RULE
------------------------------------------------------------
No identity may be inferred from:
• partial token
• numeric subset
• symbolic coincidence
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint-2"></a>
CONSTRAINT
------------------------------------------------------------
All tokens must be:
• explicit
• ordered
• complete
============================================================
END SECTION VI
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-vii-k-split-law-embedded"></a>
VII. K-SPLIT LAW (EMBEDDED)
============================================================
K is:
a unified interrogative carrier
------------------------------------------------------------
K contains:
• modality (K1)
• instrumentality (K2)
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-numeric-structure"></a>
NUMERIC STRUCTURE
------------------------------------------------------------
1000 → K (general)
1200 → K1 (modality)
1300 → K2 (instrumentality)
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-5"></a>
RULE
------------------------------------------------------------
K must be used in:
• combinatorics
• TABULA
• multiplication
• evacuation
------------------------------------------------------------
K1 / K2 may be used in:
• analytical decomposition
• explanatory expansion
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition"></a>
PROHIBITION
------------------------------------------------------------
K must not be replaced by K1 or K2
in combinatorial operations
============================================================
END SECTION VII
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-viii-mixture-law"></a>
VIII. MIXTURE LAW
============================================================
MIXTURA allows:
coexistence of A, T, and E carriers
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-6"></a>
RULE
------------------------------------------------------------
All mixture operations must preserve:
• carrier identity
• ordinal integrity
• regime distinction
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition-2"></a>
PROHIBITION
------------------------------------------------------------
No collapse between:
• A and T
• T and E
• Q and R
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-interpretation-2"></a>
INTERPRETATION
------------------------------------------------------------
Mixture is:
structural coexistence
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-not"></a>
NOT:
doctrinal fusion
============================================================
END SECTION VIII
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-ix-numeric-discipline"></a>
IX. NUMERIC DISCIPLINE
============================================================
Three numeric layers exist:
------------------------------------------------------------
1. ORDINAL
position in sequence
------------------------------------------------------------
2. GEMATRIC
native abjad value
------------------------------------------------------------
3. CARDINAL
normalized sequence
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-7"></a>
RULE
------------------------------------------------------------
These layers must NOT be:
• collapsed
• substituted
• inferred
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint-3"></a>
CONSTRAINT
------------------------------------------------------------
Numeric value does NOT define identity
============================================================
END SECTION IX
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-x-derived-numeric-projection-appendix-non"></a>
X. DERIVED NUMERIC PROJECTION (APPENDIX — NON-ΣΑΤΟΡ)
============================================================
Derived projection may be defined as:
f := gematric + cardinal
g := f × ordinal
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-function"></a>
FUNCTION
------------------------------------------------------------
Supports:
• external preprocessing
• combinatorial indexing
• mapping to external systems
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-8"></a>
RULE
------------------------------------------------------------
This projection:
• is OPTIONAL
• is NON-CANONICAL
• must be IGNORED in ΣΑΤΟΡ I
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition-3"></a>
PROHIBITION
------------------------------------------------------------
Derived values must NOT:
• replace canonical carriers
• influence identity
• affect mixture logic
============================================================
END SECTION X
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-xi-relation-to-other-layers"></a>
XI. RELATION TO OTHER LAYERS
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-a"></a>
TENET A:
defines absolute principles
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-t"></a>
TENET T:
defines relative principles
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-e"></a>
TENET E:
defines interrogative doctrine
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-i"></a>
TENET I:
defines unified carrier system
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rotas"></a>
ROTAS:
structures carriers spatially
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-arepo"></a>
AREPO:
gates admissibility
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-opera"></a>
OPERA:
executes combinations
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-sator"></a>
SATOR:
exposes structure
============================================================
END SECTION XI
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-xii-failure-conditions"></a>
XII. FAILURE CONDITIONS
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-carrier-failures"></a>
CARRIER FAILURES
------------------------------------------------------------
• ordinal drift
• symbol collision
• Phoenician mismatch
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-regime-failures"></a>
REGIME FAILURES
------------------------------------------------------------
• A/T collapse
• E ambiguity
• Q/R confusion
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-token-failures"></a>
TOKEN FAILURES
------------------------------------------------------------
• partial identity
• missing token
• implicit inference
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-numeric-failures"></a>
NUMERIC FAILURES
------------------------------------------------------------
• gematric/cardinal collapse
• derived substitution
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-9"></a>
RULE
------------------------------------------------------------
Any failure:
→ invalidates mixture
============================================================
END SECTION XII
============================================================
============================================================
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-xiii-closure"></a>
XIII. CLOSURE
============================================================
TENET I establishes:
• unified carrier order
• regime coexistence
• token-based identity
• numeric discipline
------------------------------------------------------------
With this artifact:
✓ A, T, E may coexist without ambiguity
✓ combinatorics becomes stable
✓ carrier identity becomes explicit
✓ expansion and compression coexist lawfully
------------------------------------------------------------
<a id="local-section-10-stack-i-tenet-i-doctrinalinvariants-final-state"></a>
FINAL STATE:
READY FOR INTEGRATION
============================================================
END TENET I — MIXTURA
============================================================