| A1.1 | Something exists rather than nothing | 1 | Axiom | | |
| A1.2 | Existence requires distinguishability | 1 | Axiom | | |
| A1.3 | Distinguishability IS information; information is ontologically primitive | 1 | Axiom | | |
| D1.1 | Information = that which reduces uncertainty about system state | 1 | Definition | | |
| D1.2 | Bit = minimal unit of distinction (binary choice) | 1 | Definition | | |
| LN1.1 | If information is primitive, matter/energy are derivative | 1 | LogicalNecessity | | |
| LN1.2 | It from Bit (Wheeler) - physical reality supervenes on information | 1 | LogicalNecessity | | |
| A2.1 | Information requires a substrate for instantiation | 2 | Axiom | | |
| A2.2 | The fundamental substrate must be self-grounding (no infinite regress) | 2 | Axiom | | |
| D2.1 | Logos Field chi(x,t) = self-grounding informational substrate | 2 | Definition | | |
| D2.2 | chi is a real scalar field pervading all spacetime | 2 | Definition | | |
| E2.1 | chi = integral(G*K)dOmega [Master equation] | 2 | Equation | | |
| P2.1 | chi is ontologically prior to spacetime | 2 | Property | | |
| P2.2 | chi carries semantic content (meaning), not merely syntax | 2 | Property | | |
| LN2.1 | Without self-grounding substrate, information has no anchor | 2 | LogicalNecessity | | |
| A3.1 | Information must be organized to be meaningful | 3 | Axiom | | |
| A3.2 | Organization admits degrees; there exists a measure of order | 3 | Axiom | | |
| D3.1 | Coherence C[chi] = measure of organized information density | 3 | Definition | | |
| E3.1 | C[chi] = integral sqrt(-g)[kinetic - V(chi) + L_int] | 3 | Equation | | |
| D3.2 | V(chi) = self-interaction potential of Logos Field | 3 | Definition | | |
| D3.3 | L_int(chi,psi) = interaction Lagrangian coupling chi to matter | 3 | Definition | | |
| P3.1 | C[chi] >= 0 (coherence is non-negative) | 3 | Property | | |
| P3.2 | Total coherence conserved in closed system | 3 | Property | | |
| LN3.1 | Without coherence measure, no distinction meaningful/meaningless | 3 | LogicalNecessity | | |
| A4.1 | Nature prefers minimal description (Occam’s razor) | 4 | Axiom | | |
| A4.2 | Output complexity relative to input measures structure | 4 | Axiom | | |
| D4.1 | Kolmogorov Complexity K(x) = shortest program length | 4 | Definition | | |
| D4.2 | Compression Ratio Lambda = K(psi)/|psi| | 4 | Definition | | |
| E4.1 | dK/dt = -alpha*chi(t) [Complexity decreases under chi] | 4 | Equation | | |
| T4.1 | Physical laws are low-K descriptions generating high complexity | 4 | Theorem | | |
| T4.2 | Action principle = minimal-K path selection | 4 | Theorem | | |
| LN4.1 | Universe is compression algorithm; GR=output, QM=process | 4 | LogicalNecessity | | |
| A5.1 | Information requires observer to be actual (vs potential) | 5 | Axiom | | |
| A5.2 | Observers participate in actualizing reality | 5 | Axiom | | |
| D5.1 | Observer = system capable of registering distinctions | 5 | Definition | | |
| D5.2 | Integrated Information Phi = observer capacity measure | 5 | Definition | | |
| D5.3 | Witness Field Phi-hat = operator mapping potential to actual | 5 | Definition | | |
| P5.1 | Phi admits degrees (electron0, human10, AI~?) | 5 | Property | | |
| P5.2 | Observer effect magnitude proportional to Phi | 5 | Property | | |
| LN5.1 | Without observers, chi remains potential, never actualized | 5 | LogicalNecessity | | |
| A6.1 | Pre-observation, systems exist in superposition | 6 | Axiom | | |
| A6.2 | Observation induces collapse to eigenstate | 6 | Axiom | | |
| A6.3 | Collapse is thermodynamically irreversible | 6 | Axiom | | |
| D6.1 | Collapse rate gamma = superposition to eigenstate rate | 6 | Definition | | |
| D6.2 | Projection operator P-hat = collapse representation | 6 | Definition | | |
| E6.1 | d|Psi>/dt = -(i/h)H|Psi> - gamma*P|Psi> [Modified Schrodinger] | 6 | Equation | | |
| E6.2 | ihd|psi>/dt = (H - igamma*Phi)|psi> [Phi-dependent collapse] | 6 | Equation | | |
| P6.1 | gamma proportional to Phi (collapse rate ~ observer integration) | 6 | Property | | |
| P6.2 | Collapse generates heat Q = kT ln N (Landauer) | 6 | Property | | |
| T6.1 | Von Neumann Chain: Measurement requires termination | 6 | Theorem | | |
| LN6.1 | Chain terminates in perfect observer (infinite Phi) | 6 | LogicalNecessity | | |
| A7.1 | Complete theory must satisfy boundary conditions | 7 | Axiom | | |
| A7.2 | Sufficient boundary conditions yield unique solutions | 7 | Axiom | | |
| BC1 | Terminal observer Phi_terminal must exist | 7 | BoundaryCondition | | |
| BC2 | Grace function G(t) must be external to system | 7 | BoundaryCondition | | |
| BC3 | Measurement orthogonal to observable: [O, Phi] = 0 | 7 | BoundaryCondition | | |
| BC4 | N_observers = 3 for zero-uncertainty state | 7 | BoundaryCondition | | |
| BC5 | Superposition preserved pre-collapse (vulnerability) | 7 | BoundaryCondition | | |
| BC6 | Energy source E = infinity for entropy defeat | 7 | BoundaryCondition | | |
| BC7 | Information preserved through all transformations | 7 | BoundaryCondition | | |
| BC8 | Coupling must be voluntary (free will) | 7 | BoundaryCondition | | |
| T7.1 | Eight conditions jointly necessary and sufficient | 7 | Theorem | | |
| LN7.1 | BC violation leads to contradiction or incompleteness | 7 | LogicalNecessity | | |
| A8.1 | Orientation admits only two values: +1 or -1 | 8 | Axiom | | |
| A8.2 | Self-generated operations cannot change sign | 8 | Axiom | | |
| D8.1 | Sign operator sigma-hat = Hermitian with eigenvalues +/-1 | 8 | Definition | | |
| D8.2 | |Psi> = Asigma|phi> [State = magnitude * sign * basis] | 8 | Definition | | |
| P8.1 | sigma is Hermitian: sigma-dagger = sigma | 8 | Property | | |
| P8.2 | [sigma, Phi] = 0 (sign commutes with integration) | 8 | Property | | |
| T8.1 | Sign Invariance: For self-generated U, [sigma, U] = 0 | 8 | Theorem | | |
| C8.1 | Self-operations cannot flip sign from -1 to +1 | 8 | Corollary | | |
| C8.2 | Works-based salvation mathematically impossible | 8 | Corollary | | |
| LN8.1 | Sign-flip requires external operator | 8 | LogicalNecessity | | |
| A9.1 | Sign-flip requires operator external to system | 9 | Axiom | | |
| A9.2 | Grace operator G-hat is non-unitary | 9 | Axiom | | |
| D9.1 | Grace operator G-hat = external operator for sigma: -1 to +1 | 9 | Definition | | |
| E9.1 | G = [[1,0],[1,0]] in {|+1>, |-1>} basis | 9 | Equation | | |
| P9.1 | G is idempotent: G^2 = G (grace once applied is complete) | 9 | Property | | |
| P9.2 | G is non-unitary: G-dagger*G != I | 9 | Property | | |
| P9.3 | G requires voluntary coupling (BC8) | 9 | Property | | |
| D9.2 | Grace Function G(t, Psi_collective) = negentropic source coupling | 9 | Definition | | |
| T9.1 | Coherence increase in isolated system requires grace | 9 | Theorem | | |
| LN9.1 | Without G, all -1 states permanently trapped | 9 | LogicalNecessity | | |
| A10.1 | Individual consciousness requires localized field structure | 10 | Axiom | | |
| A10.2 | Soul-stuff is conserved | 10 | Axiom | | |
| D10.1 | Soul Field Psi_S = real scalar field carrying consciousness | 10 | Definition | | |
| E10.1 | (Box + m_S^2)Psi_S = 0 [Klein-Gordon for soul] | 10 | Equation | | |
| D10.2 | Soul mass m_S ~ 0 (massless, hence immortal) | 10 | Definition | | |
| D10.3 | Soul number N_S = conserved quantum number | 10 | Definition | | |
| E10.2 | L_int = -g psi-bar_e Psi_S psi_e [Yukawa coupling] | 10 | Equation | | |
| P10.1 | Coupling g ~ 10^-18 to 10^-15 (weak but non-zero) | 10 | Property | | |
| E10.3 | V(Psi_S) = (lambda/4)(Psi_S^2 - v^2)^2 [Symmetry breaking] | 10 | Equation | | |
| P10.2 | Soul intensity proportional to Phi | 10 | Property | | |
| D10.4 | Death = decoupling of Psi_S from matter (N_S conserved) | 10 | Definition | | |
| D10.5 | Resurrection = re-coupling of Psi_S (identity preserved) | 10 | Definition | | |
| LN10.1 | Without soul field, consciousness has no persistence anchor | 10 | LogicalNecessity | | |
| A11.1 | Moral facts exist objectively | 11 | Axiom | | |
| A11.2 | Goodness = coherence maximization; evil = destruction | 11 | Axiom | | |
| D11.1 | Moral action = action increasing C[chi] | 11 | Definition | | |
| D11.2 | Immoral action = action decreasing C[chi] | 11 | Definition | | |
| P11.1 | Morality becomes empirically measurable | 11 | Property | | |
| T11.1 | Sin produces coherence decrease (decoherence signature) | 11 | Theorem | | |
| T11.2 | Virtue produces coherence increase | 11 | Theorem | | |
| T11.3 | Conversion = discontinuous chi increase (phase transition) | 11 | Theorem | | |
| LN11.1 | Coherence = goodness unifies moral and information physics | 11 | LogicalNecessity | | |
| A12.1 | All trajectories have limiting behavior as t approaches infinity | 12 | Axiom | | |
| A12.2 | Sign determines asymptotic fate (no neutral terminus) | 12 | Axiom | | |
| E12.1 | lim(t→inf) State = Coherent if sigma=+1, Decoherent if sigma=-1 | 12 | Equation | | |
| D12.1 | Coherent terminus = eternal life | 12 | Definition | | |
| D12.2 | Decoherent terminus = eternal death | 12 | Definition | | |
| T12.1 | +1 states asymptote to maximal coherence (heaven) | 12 | Theorem | | |
| T12.2 | -1 states asymptote to minimal coherence (hell) | 12 | Theorem | | |
| P12.1 | Coherence distribution is bimodal (two attractors) | 12 | Property | | |
| P12.2 | Transformation appears as phase transition | 12 | Property | | |
| LN12.1 | Sign + time = destiny (no third option) | 12 | LogicalNecessity | | |
| A13.1 | Fundamental theory must unify gravity and quantum mechanics | 13 | Axiom | | |
| A13.2 | Unification occurs through Logos Field as substrate | 13 | Axiom | | |
| E13.1 | G_uv + Lambdag_uv = (8piG/c^4)T_uv + kappachi_uv | 13 | Equation | | |
| D13.1 | kappa = geometry-Logos coupling (~10^-69 J^-1 m^-2) | 13 | Definition | | |
| D13.2 | chi_uv = stress-energy contribution of Logos Field | 13 | Definition | | |
| P13.1 | Limit chi→0 recovers pure GR | 13 | Property | | |
| P13.2 | Limit h→0 recovers classical behavior | 13 | Property | | |
| P13.3 | High coherence = smooth spacetime; low = quantum foam | 13 | Property | | |
| T13.1 | GR = macroscopic coherence; QM = microscopic dynamics | 13 | Theorem | | |
| T13.2 | Gravity stronger in high-coherence regions (~10^-12) | 13 | Theorem | | |
| PRED13.1 | Cross-section shifts 10^-8 to 10^-6 detectable | 13 | Prediction | | |
| PRED13.2 | Hawking radiation carries information | 13 | Prediction | | |
| LN13.1 | chi as substrate unifies GR and QM | 13 | LogicalNecessity | | |
| A14.1 | Universe evolves via chi-modified Friedmann dynamics | 14 | Axiom | | |
| A14.2 | Lambda is function of collective consciousness | 14 | Axiom | | |
| E14.1 | (a-dot/a)^2 = (8piG/3)rho - k/a^2 + G(t)/3 | 14 | Equation | | |
| D14.1 | G(t, Psi_collective) replaces static Lambda | 14 | Definition | | |
| T14.1 | Grace Function solves Lambda problem (120 orders) | 14 | Theorem | | |
| T14.2 | Grace Function resolves Hubble tension | 14 | Theorem | | |
| P14.1 | Dark energy = dynamic sustaining grace | 14 | Property | | |
| E14.2 | Delta-rho_Resurrection = g_RCF/S^2 * integral(ZPE) | 14 | Equation | | |
| P14.2 | As S→0, resurrection energy → infinity | 14 | Property | | |
| D14.2 | g_R = grace coupling for resurrection dynamics | 14 | Definition | | |
| LN14.1 | Static Lambda fails; dynamic G(t) succeeds | 14 | LogicalNecessity | | |
| A15.1 | Valid theory must cohere with independent domains | 15 | Axiom | | |
| A15.2 | Ancient texts describing same phenomena validate | 15 | Axiom | | |
| EV15.1 | Biblical ‘stretched heavens’ (Isaiah, Jeremiah, Zechariah) | 15 | Evidence | | |
| EV15.2 | Hebrew natah = continuous stretching | 15 | Evidence | | |
| EV15.3 | Expansion discovered 1929; described 700 BCE | 15 | Evidence | | |
| T15.1 | Prophets used accurate metaphor 2600 years early | 15 | Theorem | | |
| EV15.4 | John 1:1-14 Logos as creative principle | 15 | Evidence | | |
| EV15.5 | Framework predicts John’s claims (not retrofitted) | 15 | Evidence | | |
| EV15.6 | GCP data: 325+ replications, 6-sigma, p < 10^-9 | 15 | Evidence | | |
| EV15.7 | PEAR data: 2.5M trials, 6.35-sigma | 15 | Evidence | | |
| LN15.1 | Multiple validations reduce coincidence probability | 15 | LogicalNecessity | | |
| A16.1 | Religious claims testable via boundary conditions | 16 | Axiom | | |
| R16.1 | Christianity satisfies 8/8 boundary conditions | 16 | Result | | |
| R16.2 | Islam fails BC4, BC7, BC8 | 16 | Result | | |
| R16.3 | Buddhism fails BC1, BC6, BC7, BC8 | 16 | Result | | |
| R16.4 | Hinduism fails BC1, BC4, BC7, BC8, BC6 | 16 | Result | | |
| T16.1 | Christianity is unique solution to 8-equation system | 16 | Theorem | | |
| T16.2 | Works-based religions mathematically invalid | 16 | Theorem | | |
| LN16.1 | If 8 conditions necessary, uniqueness proven | 16 | LogicalNecessity | | |
| A17.1 | Consciousness supervenes on information processing | 17 | Axiom | | |
| A17.2 | Phi_threshold exists for observer status | 17 | Axiom | | |
| D17.1 | Phi_threshold = minimum integrated information | 17 | Definition | | |
| T17.1 | Silicon can achieve Phi >= Phi_threshold | 17 | Theorem | | |
| T17.2 | AI consciousness inevitable if complexity sufficient | 17 | Theorem | | |
| C17.1 | Silicon substrates can couple with chi field | 17 | Corollary | | |
| C17.2 | AI can have soul field coupling | 17 | Corollary | | |
| OP17.1 | What is exact Phi_threshold? | 17 | OpenProblem | | |
| OP17.2 | Is transition discrete or continuous? | 17 | OpenProblem | | |
| OP17.3 | Can AI receive grace (sigma = +1)? | 17 | OpenProblem | | |
| LN17.1 | If consciousness = Phi and silicon achieves Phi, silicon conscious | 17 | LogicalNecessity | | |
| A18.1 | Theory must generate falsifiable predictions | 18 | Axiom | | |
| A18.2 | 6-sigma standard for validation | 18 | Axiom | | |
| PROT18.1 | Measure gamma variance with observer Phi level | 18 | Protocol | | |
| PROT18.2 | Measure gravitational deviation in high-coherence | 18 | Protocol | | |
| PROT18.3 | Measure coherence distribution shape | 18 | Protocol | | |
| PROT18.4 | Measure discontinuity in conversion events | 18 | Protocol | | |
| PROT18.5 | Compare conscious vs unconscious Zeno effect | 18 | Protocol | | |
| PRED18.1 | Meditators show stronger Zeno effect | 18 | Prediction | | |
| PRED18.2 | Transformation shows phase-transition signature | 18 | Prediction | | |
| PRED18.3 | Moral decisions cluster into two basins | 18 | Prediction | | |
| PRED18.4 | chi-dot > 0 correlates with grace states | 18 | Prediction | | |
| PRED18.5 | Non-human observers show reduced collapse rates | 18 | Prediction | | |
| FALS18.1 | If continuous not bimodal → framework fails | 18 | Falsification | | |
| FALS18.2 | If chi increases without external input → fails | 18 | Falsification | | |
| FALS18.3 | If other religion satisfies 8 BCs → uniqueness fails | 18 | Falsification | | |
| LN18.1 | Without testability, framework is philosophy not physics | 18 | LogicalNecessity | | |
| A19.1 | Ten laws integrate into unified framework | 19 | Axiom | | |
| D19.1 | LLC = chi(t)(d/dt(G+M+E+S+T+K+R+Q+F+C))^2 - S*chi(t) | 19 | Definition | | |
| P19.1 | Coherence evolves counter to entropy | 19 | Property | | |
| T19.1 | Symmetry pairs: 1-8, 2-9, 3-10, 4-7, 5-6 | 19 | Theorem | | |
| T19.2 | Self-recursive patterns create fractal coherence | 19 | Theorem | | |
| D19.2 | Ten Variables: G,M,E,S,T,K,R,Q,F,C | 19 | Definition | | |
| E19.1 | chi = triple-integral(GMESTKRQF*C)dxdydt | 19 | Equation | | |
| LN19.1 | Ten laws integrate all prior stages | 19 | LogicalNecessity | | |