>[!warning] >This content has not been peer reviewed. # Knowledge index These notes state **established scientific results** (peer-reviewed, well-tested) that RRT/RST uses as anchors. Each has a **speaking title** — a short, readable statement of the fact — and explains how the theory ties to it. They are not part of the theory itself; they are the “hard knowledge” the theory builds on or must match. **We don't make knowledge up:** every fact here is cited to the literature; RST applications (our mappings and models) and their scripts live under **expanded theory applied** (foundation or further applications). **Total ontology (Great Map):** (1) **Thermodynamics** (Landauer/Jacobson) — the cost of existence. (2) **Information theory** (Shannon/Solomonoff) — the logic of selection. (3) **Fractal geometry** (percolation/Bejan) — the shape of the wires. (4) **Dynamics** (MOND/Navier–Stokes) — the flow of the render. (5) **Intelligence** (Friston) — the optimisation of the signal. A **Complexity Scale** plot (Planck → biological) is an RST application (our synthesis); script and Code note live in **further applications**: **[[Grand Map (RST)]]**, **[[Grand Map - Code]]**. --- ## Information and thermodynamics | Title | Note | |:---|:---| | The minimum cost to erase a bit | **[[The minimum cost to erase a bit]]** (Landauer) | | Information in a region cannot exceed its boundary | **[[Information in a region cannot exceed its boundary]]** (Bekenstein bound) | | The capacity of a noisy channel | **[[The capacity of a noisy channel]]** (Shannon) | | The limit on precision from finite data | **[[The limit on precision from finite data]]** (Fisher, Cramér–Rao) | | Free energy and typical states in statistical mechanics | **[[Free energy and typical states in statistical mechanics]]** (canonical ensemble, free energy) | | Matter has a maximum computation rate | **[[Matter has a maximum computation rate]]** (Bremermann-like limits; hardware governor) | --- ## Time and resolution | Title | Note | |:---|:---| | The fastest rate at which a system can update | **[[The fastest rate at which a system can update]]** (temporal Nyquist, refresh) | | The minimum time for a quantum state to change | **[[The minimum time for a quantum state to change]]** (Margolus–Levitin) | | The fine-structure constant as a resolution scale | **[[The fine-structure constant as a resolution scale]]** (α⁻¹ ≈ 137) | | The Planck scale and the substrate's minimal resolution | **[[The Planck scale and the substrate's minimal resolution]]** (quantum gravity regime; ℓ_P, t_P, S = A/(4ℓ_P²)) | --- ## Structure and scaling | Title | Note | |:---|:---| | The backbone dimension at the percolation threshold | **[[The backbone dimension at the percolation threshold]]** (d_B ≈ 1.22) | | Berry phase and quantum geometry | **[[Berry phase and quantum geometry]]** (Berry curvature, quantum metric, topology in solids) | | Critical systems share universal exponents | **[[Critical systems share universal exponents]]** (universality, RG) | | How energy cascades in turbulence | **[[How energy cascades in turbulence]]** (Kolmogorov K41) | | Networks, graphs, and connectivity in complex systems | **[[Networks, graphs, and connectivity in complex systems]]** (graphs, percolation, giant components) | | Laws change when you change scale | **[[Laws change when you change scale]]** (Wilsonian RG; effective laws) | | The Semi-Empirical Mass Formula from pure graph topology | **[[Relational Liquid Drop Model]]** (RST derives BET from A2/A3/A5; zero fitted parameters; thermodynamic tension Strong/Pauli) | --- ## Gravity and cosmology | Title | Note | |:---|:---| | Einstein's equations from thermodynamics | **[[Einstein's equations from thermodynamics]]** (Jacobson) | | From AQUAL to TeVeS — Bekenstein's relativistic MOND | **[[From AQUAL to TeVeS — Bekenstein's relativistic MOND]]** | | Galaxy mass scales with the fourth power of rotation | **[[Galaxy mass scales with the fourth power of rotation]]** (BTFR) | --- ## Selection, agency, and emergence | Title | Note | |:---|:---| | The shortest description is the most probable reality | **[[The shortest description is the most probable reality]]** (Solomonoff, Kolmogorov, Occam) | | Agents minimize the difference between model and sensation | **[[Agents minimize the difference between model and sensation]]** (Free Energy Principle, Friston) | | Persisting systems evolve to ease the flow of currents | **[[Persisting systems evolve to ease the flow of currents]]** (Constructal law, Bejan) | | Entanglement protects information from noise | **[[Entanglement protects information from noise]]** (Quantum error correction, surface code) | | Feedback control and stability in dynamical systems | **[[Feedback control and stability in dynamical systems]]** (feedback, sensitivity, robustness) | | Variational principles and least-action dynamics | **[[Variational principles and least-action dynamics]]** (least action, extremal principles) | | Classical motion emerges from a sum over paths | **[[Classical motion emerges from a sum over paths]]** (Feynman path integral; semiclassical limit) | | Geometry can be computed from entanglement | **[[Geometry can be computed from entanglement]]** (Ryu–Takayanagi; holographic entanglement) | --- ## Related - **[[Saturation limit of the format]]** (in E8 Compatibility) — ceiling of the format; same style of knowledge note, lives under E8. - **[[Relational Substrate Theory (RST)]]** — main theory that uses these results. - **[[Relational Resolution Theory (RRT)]]** — axiom set; Landauer and format underpin it. - **[[Concrete properties of the substrate]]** — synthesis: all concrete substrate properties (cost, capacity, resolution, geometry, saturation, dynamics, protection) in one place, linked to Format and to each knowledge note. - **[[Grand Map (RST)]]** / **[[Grand Map - Code]]** — RST application (further applications): complexity scale plot; script in that folder. - **[[../parts/Parts index]]** — physical parts (quark, hadron, atom, molecule) and scale registry; used by the Material layer and unified chain.