A11 is the KEYSTONE: If the source of truth were deceptive, truth would be indistinguishable from falsehood. This axiom alone eliminates naturalism.
G3: DIVINE SOURCE
ID
Axiom
Statement
Classical Reference
G3.1
Source Universal
The source of universal truth is universal
A12
G3.2
Source Eternal
The source of eternal truth is eternal
A13
G3.3
Source Immaterial
The source of immaterial truth is immaterial
A14
G3.4
Source Coherent
The source of coherent truth is coherent
A15
G4: DIVINE MORAL GROUND
ID
Axiom
Statement
Classical Reference
G4.1
Truth Value
Truth is inherently valuable
A16
G4.2
Deception Wrong
Deception is morally wrong
A17
G4.3
Common Ground
Mathematical and moral truth share a common ground
A18
“Math is Moral” is grounded here.
G5: DIVINE IDENTIFICATION
ID
Axiom
Statement
Classical Reference
G5.1
Logos
The ground is the Logos
A19
G5.2
God
The Logos is God
A20
G6: DIVINE ALTERNATIVE (Negation)
ID
Axiom
Statement
Classical Reference
G6.1
Structure Requires
Structure requires structurer
A21
G6.2
Naturalism Impossible
Naturalism is mathematically impossible
A22
G7: THE GAP
ID
Axiom
Statement
Classical Reference
G7.1
Sin Explains
Sin explains the gap between creation and Creator
A23
G7.2
Redemption Necessary
Redemption is necessary
A24
T: TRINITY AXIOMS (Classical Formulation)
ID
Axiom
Statement
T1
One God
There is exactly one God — one in essence (being, substance)
T2
Father is God
The Father fully possesses the one divine essence
T3
Son is God
The Son is fully divine, not created, not lesser
T4
Spirit is God
The Holy Spirit is fully divine, not an impersonal force
T5
Personal Distinction
Father, Son, and Spirit are personally distinct
T6
Indivisible Essence
The divine essence is indivisible — not three parts
T7
Relational Distinction
Distinctions are relational (origin), not essential
T8
Undivided Works
All external works of God are undivided
TI: TRINITY — INFORMATION-THEORETIC MAPPING
ID
Person
Information Role
χ-Equation Term
Physical Analog
TI.1
FATHER
Source Entropy H(Source) = ∞
G₀ (Grace origin)
Infinite possibility
TI.2
SON
Channel Capacity C = max I(X;Y)
χ itself (Logos Field)
Laws of physics
TI.3
SPIRIT
Mutual Information I(Observer;Reality)
U(Sₛ), Q·C
Actualization/“now”
Critical Clarification (from TTRAS):
This is STRUCTURAL ISOMORPHISM, not identity
The Trinity does not collapse — creation collapses
The sequence (superposition → coherence → collapse) exists only on the creaturely side
God is not inside the sequence; God is the reason the sequence exists
GI: GOD AS INFORMATION (Core Ontological Claim)
ID
Axiom
Statement
GI.1
Possesses
God possesses all information — nothing is outside Him
GI.2
Processes
God processes information — His will is active, not static
GI.3
IS
God IS information itself — the ontological reality from which all meaning, structure, truth, possibility, distortion, and coherence arise
The Three-Part Claim: God is not merely (A) a knower of information or (B) a processor of information, but (C) the ontological reality of information.
GA: GOD — ACCIDENTS (What God Cannot Do/Be)
ID
Statement
Theological Grounding
GA.1
God has no accidents (no changeable properties)
Divine simplicity
GA.2
God cannot go against His word
Self-consistency
GA.3
God cannot look upon sin
Holiness/purity
GA.4
God cannot be in the same “room” as sin
Moral separation
GA.5
God cannot lie
Truth = His nature
GA.6
God cannot change
Immutability
GA.7
God cannot learn (all knowledge already possessed)
Omniscience
Implication of GA.3-4: God cannot “see all possibilities” if some possibilities involve sin-participation. This is why the blood of Christ mediates vision.
Matter = that which can receive structure but is not structure itself
Actuality = the act that makes it exist rather than not
Key Distinction:
Information explains WHAT a thing is
Actuality explains THAT it is
Matter is actualized potential under intelligible form
ME: MATTER-ENERGY
ID
Axiom
Statement
ME.1
Equivalence
Matter and energy are interconvertible (E=mc²)
ME.2
Conservation
Total matter-energy is conserved
ME.3
Quantized
Matter-energy comes in discrete packets
ME.4
Field Origin
Matter arises as excitations of underlying fields
MS: SPACETIME
ID
Axiom
Statement
MS.1
Emergent
Spacetime emerges from more fundamental structure
MS.2
χ-Coupled
Spacetime geometry couples to χ-field
MS.3
Not Container
Spacetime is not a pre-existing container
MS.4
Observer-Dependent
Spacetime measurements are observer-dependent
χ-Connection:
G_μν + Λg_μν = (8πG/c⁴)T_μν + κχ_μν
Limit χ→0 recovers pure GR
MQ: QUANTUM MECHANICAL
ID
Axiom
Statement
MQ.1
Superposition
Unobserved systems exist in superposition
MQ.2
Collapse
Observation induces collapse to eigenstate
MQ.3
Entanglement
Non-local correlations are real
MQ.4
Uncertainty
Conjugate variables cannot be simultaneously precise
χ-Connection:
QM describes the “vapor” state (potential)
GR describes the “ice” state (actual)
Both are phases of the same χ-substrate
MG: GR/QM UNIFICATION (via χ)
ID
Axiom
Statement
MG.1
Same Substance
GR and QM describe same reality in different phases
MG.2
Phase Transition
Observation causes phase transition (vapor → ice)
MG.3
χ Unifies
The χ-field is the common substrate
MG.4
Consciousness Bridges
Consciousness is the phase-transition mechanism
[MAJOR GAP: Need complete axiom set for HOW matter arises from χ without collapsing into idealism. The TTRAS conversation got close but didn’t fully nail it.]
Review this structure — Does the tiering make sense?
Fill Matter gap — This is the hardest philosophical problem
Add Flesh accidents — David to provide
Add Consciousness accidents — David to provide
Complete Satan boundary conditions — What are the rules?
Clarify Spirit distinctions — Three kinds or three participations?
END OF ROUGH DRAFT
This document is the foundation. If one axiom here is wrong, trace it up and down — everything connected to it must be re-examined. That’s what makes it a true axiomatic system.