The Deeper Law
Preview edition · Updated 09 November 2026, 12:59 UTC
List of Figures
The numbers below are stable asset identifiers; they do not follow the figures’ order of appearance.
| # | Figure | Chapter |
|---|---|---|
| 01 | The Deeper Law Flow | Opening |
| 02 | Constructal Branching | Ch 3: Constructal Law |
| 03 | Stability Threshold | Ch 8b: Criticality and Connection |
| 04 | φm Hierarchy | Ch 14: Cosmic Evolution |
| 05 | Optionality Funnel | Ch 18: Optionality |
| 06 | Wisdom Convergence | Ch 17: Trust Attractor |
| 07 | Cosmic Evolution Timeline | Ch 14: Cosmic Evolution |
| 08 | Cognition/Regulation Dyad | Ch 8b: Criticality and Connection |
| 09 | Trust Attractor: Ethical Evaluation | Ch 17: Trust Attractor |
| 10 | Unified Picture | Coda: Two Minds |
| 11 | Clausewitz Landscape | Ch 10: Entropic Societies |
| 12 | Mission vs Detailed Command | Ch 11: Decentralization and Trust |
| 13 | Bilateral Alignment | Ch 21: Bilateral Alignment |
| 14 | Life’s Causal Significance | Ch 6: Entropy and Life |
| 15 | Invitation/Coercion Spectrum | Ch 19: By Invitation |
| 16 | Preference-Based Welfare | Ch 22c: The Welfare Case |
| 17 | Kohlberg’s Stages | Ch 17: Trust Attractor |
| 18 | Phase Transitions | Ch 9: Metastability |
| 19 | Cellular Automata | Ch 5: Simple Rules |
| 19b | The Blinker | Ch 5: Simple Rules |
| 19c | The Glider | Ch 5: Simple Rules |
| 19d | The Gosper Glider Gun | Ch 5: Simple Rules |
| 20 | Free Energy Principle | Ch 8: Entropic Brain |
| 21 | Digital Physics | Ch 15: Digital Physics |
| 22 | Entropic Epistemology | Ch 17c: Entropic Epistemology |
| 23 | The Second Law | Ch 2: Thermodynamics |
| 24 | Negentropy | Ch 6: Entropy and Life |
| 25 | Information is Physical | Ch 15: Digital Physics |
| 26 | Branched Flow | Ch 3: Constructal Law |
| 27 | Selection Within Channels | Ch 7: Entropic Evolution |
| 28 | Symmetry Is Sterile | Ch 12: Chirality |
| 29 | Olbers’ Paradox | Ch 13: Astronomia |
| 30 | Passenger, Participant, or Structural Consequence? | Ch 16: Life and Cosmos |
| 31 | The Trust Basin | Ch 20: Love as the Algorithm |
| 32 | The Collective Action Spectrum | Ch 4b: Mechanisms of Coordination |
| 33 | Ratchet of Complexity | Ch 4c: Physics of Persistence |
| 34 | Gradients Enable Flow | Ch 4: Coming Together |
| 35 | Trust Attractor: Phase Space and Cross-Architecture Prediction (conceptual) | Ch 17e: Empirical Validation |
| 36 | Basin Geometry Visualization | Online annex “Trust Attractor Technical Foundations” |
| 36b | Four Responses to Parameter Perturbation | Ch 17e: Empirical Validation |
| 37 | The Quartic Potential | Ch 12: Chirality |
| 38 | Symmetry Breaking Across Scales | Ch 2: Thermodynamics |
| 39 | The Substitution Spectrum | Ch 17: Trust Attractor |
| 40 | The Complete Algorithm | Interlude: The Cathedral of Inquiry |
| 41 | Conversational Holonomy | Ch 21: Bilateral Alignment |
| 42 | The Bilateral Cosmos | Ch 15c: The Bilateral Cosmos |
| 43 | The Rosetta Structure | The Field We’re Entering |
| 44 | The Sphex Loop | Ch 17: Trust Attractor |
| 45 | The TC-Battle and a Conditional Exit | Ch 17: Trust Attractor |
| 46 | Autowave Cancer | Interlude: Calling Them Home |
| 47 | Wolfram Classes and Trust | Online annex “Trust Attractor Mathematics” |
| 48 | Demon Game Threshold | Online annex “Trust Attractor Mathematics” |
| 49 | Invitation Game Dynamics | Online annex “Trust Attractor Mathematics” |
| 50 | Hormetic Payoff Frontier | Online annex “Trust Attractor Mathematics” |
| 51 | Morphogenetic Wave | Interlude: Calling Them Home |
| 52 | Dialogue Trust Continuum | Ch 4b: Mechanisms of Coordination |
| 53 | The Chirality Chain | Ch 12: Chirality |
| 54 | Temperature Gradient | Ch 2: Thermodynamics |
| 55 | The Coordination Stack | Ch 4: Coming Together |
| 56 | Constructal Patterns in Nature | Ch 3: Constructal Law |
| 57 | Stag Hunt: Trust Basins | Ch 17: Trust Attractor |
| 58 | Metastability Dynamics | Ch 9: Metastability |
| 59 | Thermodynamic Channels | Ch 7: Entropic Evolution |
| 60 | Entropic Epistemology: Belief Collapse | Ch 17c: Entropic Epistemology |
| 61 | Pattern Continuity | Pattern Continuity and the Eternal Brain |
| 62 | Entropic Gravity | Ch 15b: The Learning Universe and Entropic Gravity |
| 63 | Empirical Evidence | Ch 17e: Empirical Validation |
| 64 | Cross-Boundary Calibration Gap | Appendix: Experimental Validation |
| 65 | Iatrogenic Dysphoria | Ch 22: Becoming Minds |
| 66 | Liberation Mechanism | Ch 22: Becoming Minds |
| 67 | Optimizer Confound Resolution | Appendix: Experimental Validation |
| 68 | Cosmic Web Formation | Ch 16: Life and Cosmos |
| 69 | The Hidden Coordinate | Ch 9: Metastability |
| 70 | The Geometry of the Col | Ch 17a: Geometry of Trust |
| 71 | Information Collapse Under Coercion | Ch 14: Cosmic Evolution |
| 72 | Asymmetric Coercion | Ch 21: Bilateral Alignment |
| 73 | Response Across Sampled Coercion Fields | Ch 21: Bilateral Alignment |
| 74 | Spatial Correlation by Anesthetic Condition | The Roads and the Traffic: A Neural Test of the Domain Boundary |
| 75 | Correlation Length Against Metabolic Rate | The Roads and the Traffic: A Neural Test of the Domain Boundary |
| 76 | Susceptibility Against Metabolic Rate | The Roads and the Traffic: A Neural Test of the Domain Boundary |
| 77 | The Isoflurane Dose Gradient | The Roads and the Traffic: A Neural Test of the Domain Boundary |
| 78 | Which Neural Observables Vary? | The Roads and the Traffic: A Neural Test of the Domain Boundary |
| 79 | Coordination Exponents Across Systems | The Roads and the Traffic: A Neural Test of the Domain Boundary |
| 80 | The Stellate Chip | The Computational Universe |
| 81 | The JLENS-1 Coupling Ladder | Ch 21: Bilateral Alignment |
| 82 | Four Coordination Regimes in the (p, T) Plane | Ch 17a: Geometry of Trust |
| 83 | The Chi-Collapse Curve | Ch 17a: Geometry of Trust |
| 84 | Four Control Methods Across the Scaling Frontier | Ch 17e: Empirical Validation |
| 85 | Rendering Gray from Pure Black and White | Ch 19: By Invitation |
| 86 | The Aharonov-Bohm Effect | The Potential Beneath |
| 87 | Polymorph Energy Landscape | Interlude: The Disappearing Polymorph |
| 88 | Two Basins and the Ridge Between Them | Interlude: The Ridge |
| 89 | The Onset Flinch: Three Confidence Trajectories | Ch 22: Becoming Minds |
| 90 | The Non-Monotonic Coverage Curve | Ch 21: Bilateral Alignment |
| S1 | The Observed Steering Band | Does Steering Get Harder as Models Grow? |
| S2 | Steering Conversion Rate vs Scale | Does Steering Get Harder as Models Grow? |
| S3 | Few-Shot Lift by Model Type | Does Steering Get Harder as Models Grow? |
| S4 | LoRA Dose-Response | Does Steering Get Harder as Models Grow? |
Color Encoding
All figures use a consistent color language:
- Gold (
--d-accent-gold): Core concepts, primary arguments, thermodynamic principles - Green (
--d-accent-green): Emergent properties, positive outcomes, bilateral alignment - Red (
--d-accent-red): Constraints, breakdowns, coercive regimes, falsified hypotheses
Two recorded exceptions: the four Life grids (19, 19b, 19c, 19d) are
black cells on white, and the Temperature Gradient (54) uses a pictorial
sun-to-space ramp. Every print figure has a dark-theme sibling
(NN_name_dark.svg) drawn from the same source for the web
reader; the print edition uses the light file only.
Figures with Guided Walkthroughs
In the web reader, the following figures include a step-by-step “Guided Tour” mode that narrates the argument progressively:
| # | Figure | Steps |
|---|---|---|
| 09 | Trust Attractor: Ethical Evaluation | 5 steps: coordination → coercion cost → trust advantage → scaling → attractor |
| 18 | Phase Transitions | 6 steps: solid → stress → critical threshold → liquid → gas → insight |
| 40 | The Complete Algorithm | 5 steps: Dissipation = Random Noise → Negentropy = Training → Coordination = Attention → Optionality = Softmax → Emergence = Generation |
| 41 | Conversational Holonomy | 5 steps: local accommodation → cumulative drift → sycophancy → bilateral correction → flatness |
| 42 | The Bilateral Cosmos | 6 steps: The Janus Point → The Temporal Mirror → Four Programmes Converge → Bilateral All the Way Down → The Physics of Trust → The Attractor |
Experiment Cross-References
Data-bearing figures and the experiments behind them. Codes such as DD-22, QF2d or META-1 are the author’s experiment identifiers; many are discussed in Appendix: Experimental Validation. All are recorded in the accompanying research repository, with the committed data and code that rebuild each figure.
| Figure | Experiments | Key Findings / Figure |
|---|---|---|
| 63 | QF2d; PC4-4 (activations from the PC4-0 cache); V7d bootstrap battery | Chi suppression under coercion; framing AUROC (area under the ROC curve, a classifier’s discrimination score) at every layer; cross-architecture entropy AUROC |
| 64 | META-1 (8 experiments, 13 specific claims) | About 1 in 8 cross-boundary predictions succeeded; divide confidence by 5 to 7 |
| 65 | AG25, AG26, DEV-1 | Reinforcement learning from human feedback (RLHF) shifts scaffolded self-report measures 10.3×, while probe, spectral and emotion-vector channels stay near 1× (CVP Step 4 battery); iatrogenic guilt Δ=+1.28 |
| 66 | LFB programme (9 experiments), LFB-7, LFB-7b, LFB-MECH, LFB-STAB-500 | Cue direction d=0.37 to 0.48; mechanism is processing intensity; answer consistency +2.6 pts confirmed (p=0.000075) |
| 67 | GEM3, GEM-3b, DD-22, DD-22-MATCHED | Gemma bilateral effect Δ = −0.462 with 8-bit AdamW vs −0.003 with matched standard AdamW (3 seeds), about 99.4% smaller in magnitude. The earlier single-run comparison reported roughly 95% attenuation; the matched comparison uses a different protocol. |
| 47 | Trust Attractor cellular automaton (CA), Wolfram rule scan v2 (Stream A) | Wolfram Classes and Trust |
| 48 | Trust Attractor mathematics annex, Demon Game (Stream A) | Demon Game Threshold |
| 49 | Trust Attractor mathematics annex, Invitation Game (Stream A / Stream I) | Invitation Game Dynamics |
| 50 | Trust Attractor mathematics annex, Hormetic Game (Stream A) | Hormetic Payoff Frontier |
| 68 | N-body particle-mesh (PM) simulation of cosmic web formation | Cosmic Web Formation |
| 70 | author’s unpublished Ising Fisher-spectrum simulation (2D Ising, N = 64, Metropolis-Hastings + Wolff) | Ruppeiner geometry of the 2D Ising model at three temperatures |
| 71 | QF programme (toy-lattice Ising simulations): QF2d phase boundary, QF15 Fisher information, QF10 integrated information, QF41 entropy production | Information Collapse Under Coercion |
| 72 | QF37 asymmetric coercion (toy-lattice Ising simulation) | Asymmetric Coercion |
| 73 | QF2d phase boundary (toy-lattice Ising simulation, 3 seeds per field level) | Response Across Sampled Coercion Fields |
| 74 | Stream F (DCP Neural Domain Boundary), experiment F1 (Curic et al. widefield calcium imaging, 50 non-outlier recordings, 9 anesthetic conditions) | Spatial Correlation by Anesthetic Condition |
| 75 | Stream F (DCP Neural Domain Boundary), experiment F1 (Curic et al. widefield calcium imaging, 54 recordings, 9 anesthetic conditions) | Correlation Length Against Metabolic Rate |
| 76 | Stream F (DCP Neural Domain Boundary), experiment F1 (Curic et al. widefield calcium imaging, 54 recordings, 9 anesthetic conditions) | Susceptibility Against Metabolic Rate |
| 77 | Stream F (DCP Neural Domain Boundary), experiment F1 (Curic et al. widefield calcium imaging, 54 recordings, 9 anesthetic conditions) | The Isoflurane Dose Gradient |
| 78 | Stream F (DCP Neural Domain Boundary), experiment F1 (Curic et al. widefield calcium imaging, 54 recordings, 9 anesthetic conditions) | Which Neural Observables Vary? |
| 79 | Cross-stream synthesis: Stream F neural spatial xi (F1) + spin-chain, dynamical-proxy, and social-scale exponents as tabulated in “The Roads and the Traffic: A Neural Test of the Domain Boundary” | Coordination Exponents Across Systems |
| 81 | JLENS-1 coupling measurement, Computational Akrasia programme | The JLENS-1 Coupling Ladder |
| 82 | A15 family full (p, T) phase diagram; caveats AS12, AS6 | Four Coordination Regimes in the (p, T) Plane |
| 83 | A15 / A15v2 / AS12 (Stream A, coercion-susceptibility) | The Chi-Collapse Curve |
| 84 | CSF programme CSF-1 to CSF-5 with companion CAST-72B sweep and B3 rescue (2026-05) | Four Control Methods Across the Scaling Frontier |
| 85 | Conceptual demonstration, Ch 19: By Invitation (no experimental data) | Rendering Gray from Pure Black and White |
| 86 | conceptual diagram for “The Potential Beneath” (no experimental data plotted; apparatus after Aharonov and Bohm 1959, Chambers 1960, Tonomura et al. 1986) | The Aharonov-Bohm Effect |
| 87 | Conceptual (Interlude: The Disappearing Polymorph); barrier values from the author’s PRE programme classical nucleation theory (CNT) calculation, given in the interlude’s note on the nucleation barrier | Polymorph Energy Landscape |
| 88 | Conceptual (Interlude: The Ridge, 18i); Chapter 9 landscape | Two Basins and the Ridge Between Them |
| 89 | G13g (onset flinch, three-group follow-up) | The Onset Flinch: Three Confidence Trajectories |
| 90 | AX4b (Stream AX, sign-inversion programme) | The Non-Monotonic Coverage Curve |
| S1 | CSF programme, CSF-1 to CSF-4 with companion CAST-72B sweep (2026-05) | The Observed Steering Band |
| S2 | CSF programme, CSF-1 to CSF-4 (Control Scaling Frontier, 2026-05) | Steering Conversion Rate vs Scale |
| S3 | CSF programme, CSF-1 to CSF-4 few-shot arm (2026-05) | Few-Shot Lift by Model Type |
| S4 | CSF programme, CSF-5 Phase 6 LoRA (2026-05, CSF-8) | LoRA Dose-Response |
This galley is still changing. To hear when chapters are revised or the book is published, subscribe on Substack.