Cell rule: Cell (Row i, Col j) answers: “How does Row i mechanically influence / enable / constrain Col j in the Timothian Model?”
| Row \ Col | CP — Chunk Plenum | CZ — Chunk Zoo & Mobility Roles | BV — No‑Vacuum / Backfill‑Volume Constraint | DP — Displacement & Pressure Maps | ST — Stratification Gradients | RB — Restoration / Buoyancy / Equilibria | RE — Rotation & Entrainment | FC — Directed Flows & Counterflows | RI — Rectification & Imprinting | OW — Oscillations & Waves | ME — Momentum Exchange | EN — Entropy / Homogeneity Ledger | TM — Time / Rate Modulation | AS — Atomic Seeds & Spheres | RX — Reconfiguration Events |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| CP — Chunk Plenum | CP → CP: Self: local density/tension/flow baseline | CP → CZ: Enables species roles & mobility | CP → BV: Enforces continuity (no “nothing”) | CP → DP: Displacement only meaningful in filled volume | CP → ST: Medium can carry gradients/layers | CP → RB: Provides restoring “spring” & buoyant reference | CP → RE: Carries vorticity; can be entrained | CP → FC: Supports flows + required counterflows | CP → RI: Allows structures to bias flows | CP → OW: Supports oscillations; sets propagation bands | CP → ME: Collisions enable heat/agitation | CP → EN: Stores gradients + deformation ledger | CP → TM: Sets the local “rate environment” | CP → AS: Medium forms spheres around seeds | CP → RX: Supplies/sinks chunks during events |
| CZ — Chunk Zoo & Mobility Roles | CZ → CP: Species mix sets medium “texture” | CZ → CZ: Self: finite species; PCS vs lubricants | CZ → BV: Lubricants enable backfill; scarcity locks | CZ → DP: Species impedance shapes pressure maps | CZ → ST: Density differences drive layering | CZ → RB: Buoyant points depend on species/packing | CZ → RE: Species entrain differently; lock‑in | CZ → FC: Flowability is species‑specific; pairing | CZ → RI: Rectification via differential mobility/friction | CZ → OW: Species set oscillation modes/bands | CZ → ME: Temp largely agitation of mobile species | CZ → EN: Entropy counts homogeneity across species | CZ → TM: Rates sensitive to species mix | CZ → AS: Seed/sphere composition depends on zoo | CZ → RX: Event thresholds/energies set by species |
| BV — No‑Vacuum / Backfill‑Volume Constraint | BV → CP: Continuity maintained; gaps forbidden | BV → CZ: Makes lubricant role mechanically central | BV → BV: Self: equal‑volume backfill; suction if not | BV → DP: Pressure arises when backfill throttles | BV → ST: Pathways/backfill shape stratification | BV → RB: Restoration limited by available routes | BV → RE: Shear/entrainment limited by backfill | BV → FC: Any flow implies counterflow/backfill | BV → RI: Rectifiers exploit backfill limits | BV → OW: Waves compress/rarefy without voids; shocks | BV → ME: Backfill work dissipates → heat | BV → EN: Backfill equalizes → raises homogeneity | BV → TM: Harder backfill → slower cycles | BV → AS: Sphere permeability = backfill pathways | BV → RX: Events are rapid “constraint releases” |
| DP — Displacement & Pressure Maps | DP → CP: Defines the medium’s local “state” | DP → CZ: Selects which species activate under load | DP → BV: Load taxes backfill; stalls motion | DP → DP: Self: pressure map = gradient driver | DP → ST: Displacement creates stratification | DP → RB: Gradients generate restoration & buoyancy | DP → RE: Rotation reshapes pressure distribution | DP → FC: Pressure differentials drive organized flows | DP → RI: Pressure routed into preferred pathways | DP → OW: Gradients refract/attenuate waves | DP → ME: Repacking under load heats | DP → EN: Gradients = stored order in ledger | DP → TM: Load shifts oscillator periods | DP → AS: Seeds displace; spheres are equilibria | DP → RX: Tension release = step reconfiguration |
| ST — Stratification Gradients | ST → CP: Makes the plenum non‑uniform: layered density/tension “terrain” | ST → CZ: Sorts species into preferred radii/roles | ST → BV: Alters backfill ease by layer permeability; throttles pathways | ST → DP: Defines hydrostatic‑like pressure profiles across distance | ST → ST: Self: layered gradients persist until equalized | ST → RB: Sets buoyant points; determines equilibrium corridors | ST → RE: Differentially entrains layers; rotation reshapes gradients | ST → FC: Channels where flows prefer to run; sets impedance corridors | ST → RI: Gradients create directional permeability; “valves” emerge naturally | ST → OW: Refracts/attenuates waves; sets lensing and dispersion conditions | ST → ME: Produces convection‑like exchange across layers; mixing gradients | ST → EN: Stratification = stored order; equalization raises homogeneity | ST → TM: Different strata = different process resistances → rate differences | ST → AS: Atomic spheres are micro‑stratification; bonding depends on strata | ST → RX: Extreme gradients can force step releases (collapses, discharges) |
| RB — Restoration / Buoyancy / Equilibria | RB → CP: Drives the plenum toward lower stored gradients (equalization motive) | RB → CZ: Pushes species toward their stable distributions | RB → BV: Restoration is limited by backfill; blocked backfill becomes stress | RB → DP: Flattens pressure maps over time; relaxes load concentrations | RB → ST: Relaxes or maintains stratification; shifts layers toward equilibrium | RB → RB: Self: buoyant points, stable corridors, restoring “spring” | RB → RE: Rotation shifts equilibria; adds procession/precession behavior | RB → FC: Generates equalization flows and return paths (bulk + local) | RB → RI: Least‑resistance equalization makes rectifiers obvious/usable | RB → OW: Restoration can ride as waves (bulk rebalancing); modulates EM propagation | RB → ME: Equalization work dissipates into agitation (heating) | RB → EN: Restoration is the engine of entropy increase (ledger flattening) | RB → TM: “Clock rates” change with local restoring tension/drag environment | RB → AS: Maintains sphere profiles; restores disturbed seeds toward stable states | RB → RX: When smooth restoration fails, system resolves via step events |
| RE — Rotation & Entrainment | RE → CP: Creates organized vorticity in the plenum; “stirs” the medium | RE → CZ: Centrifugal sorting; entrainment differs by species/mobility | RE → BV: Repeated shear taxes backfill; lubricant scarcity → lock‑in/hysteresis | RE → DP: Generates rotational pressure maps (equatorial bulge; shear gradients) | RE → ST: Warps stratification (thickened layers; anisotropic profiles) | RE → RB: Shifts buoyant points; stabilizes or destabilizes corridors | RE → RE: Self: entrainment, corotation shells, vorticity diffusion | RE → FC: Organizes flows (dynamo‑like); bends flow paths via rotation | RE → RI: Rotation can imprint bias in materials; sustains hysteresis patterns | RE → OW: Twists wave orientation; shear modifies propagation & polarization | RE → ME: Shear heating; stirring converts organized motion → agitation | RE → EN: Can create local order yet drive global dissipation toward homogeneity | RE → TM: Rotational environments alter cycle work → rate modulation | RE → AS: Seed/sphere spin shifts stability thresholds and active spheres | RE → RX: High spin/shear can trigger failures, disintegration, rapid releases |
| FC — Directed Flows & Counterflows | FC → CP: Organizes the plenum into active corridors (pressure‑seeking motion) | FC → CZ: Selects participating species by mobility/impedance | FC → BV: Requires backfill; counterflow is continuity made visible | FC → DP: Both driven by and creates pressure maps | FC → ST: Can reinforce, erode, or reshape stratification | FC → RB: Implements restoration via equalization paths | FC → RE: Couples to rotation (helical flows; torque transfer) | FC → FC: Self: flows pair, branch, loop, and decay by impedance | FC → RI: Persistent flows can imprint pathways; structured flows sustain hysteresis | FC → OW: Flows twist/advect waves; modify propagation and polarization | FC → ME: Shear/collisions convert flow → agitation; organized → randomized | FC → EN: Flows equalize gradients but dissipate; net homogeneity rises | FC → TM: Strong flow/drag environments modulate process rates | FC → AS: Flows around seeds reshape spheres; enable conduction/bond effects | FC → RX: Rapid flow surges can trigger breakdown/discharge/release events |
| RI — Rectification & Imprinting | RI → CP: Imprints anisotropy into the medium via structures (preferred pathways) | RI → CZ: Exploits differential mobility (PCS vs lubricants) | RI → BV: Works by throttling or permitting backfill paths (valve behavior) | RI → DP: Converts pressure maps into one‑way transport / maintained gradients | RI → ST: Can stabilize local gradients by preventing easy equalization | RI → RB: Can create metastable equilibria (hysteresis vs restoration) | RI → RE: Rotation can write/erase imprints (memory under stirring) | RI → FC: Creates and shapes flows/counterflows (directionality) | RI → RI: Self: rectifiers store “memory” (hysteresis); directionality persists | RI → OW: Imprints filter/guide waves (polarizer/waveguide analogs) | RI → ME: Rectification often turns agitation into directed work, then heats | RI → EN: Local order can be maintained only with ongoing dissipation | RI → TM: Stable rectified cycles can serve as clocks; rates environment‑set | RI → AS: Atomic structures create rectification (contact potentials; bonding bias) | RI → RX: When limits exceed, rectifiers fail via step events (breakdown) |
| OW — Oscillations & Waves | OW → CP: Medium oscillates; waves are “what the plenum does” | OW → CZ: Species determine bands, dispersion, and damping | OW → BV: No voids: compression/rarefaction = repacking + deformation | OW → DP: Waves are moving pressure maps; drive local load/unload | OW → ST: Stratification refracts/attenuates; gradients bend propagation | OW → RB: Large waves can shift equilibria; “radiation pressure” analogs | OW → RE: Rotation/entrainment can twist wave orientation; alter paths | OW → FC: Flows advect waves; can twist/rotate oscillation orientation | OW → RI: Waves can be rectified into flows (detection, conversion, biasing) | OW → OW: Self: interference/diffraction = geometry in a medium | OW → ME: Absorption/emission are momentum exchanges; waves heat when damped | OW → EN: Absorbed waves flatten gradients; create homogeneity when thermalized | OW → TM: Periodic waves define clocks; propagation conditions modulate them | OW → AS: Waves load spheres (excitation); interact at discrete thresholds | OW → RX: Strong waves can trigger events (emission steps, discharge, rupture) |
| ME — Momentum Exchange | ME → CP: Agitation/mixing state of the plenum; “how busy the medium is” | ME → CZ: Activates different species by mobility; lubricants carry much of agitation | ME → BV: Backfill difficulty converts attempts at motion into collisions/heat | ME → DP: Collisions & crowding are pressure; exchange shapes pressure maps | ME → ST: Mixing tends to erode layers; differential exchange can also sharpen boundaries | ME → RB: Dissipates restoring tensions into agitation; equalization work becomes ME | ME → RE: Shear/entrainment converts organized motion into ME (stirring → heating) | ME → FC: Flow shear and collisions convert FC ↔ ME; damping and heating of flows | ME → RI: Random agitation becomes useful when rectified; RI “harvests” ME | ME → OW: Damping/absorption converts OW → ME; agitation can also seed OW noise | ME → ME: Self: collisions, mixing, agitation, coherent transfer | ME → EN: Randomizing transfers generally increase EN (flatten gradients) | ME → TM: ME environment changes clockwork (rates shift with collision/drag regime) | ME → AS: Heating/agitation loosens spheres, changes permeability, enables reconfig | ME → RX: High ME environments trigger step changes: breakdown, discharge, decay thresholds |
| EN — Entropy / Homogeneity Ledger | EN → CP: Drives plenum toward smoother distributions of density/tension/motion | EN → CZ: Homogenizes species distributions over time (unless maintained by structure) | EN → BV: Backfill is the channel by which equalization proceeds; constraints slow EN rise | EN → DP: Pressure gradients represent ledger imbalance (low EN locally); relaxation increases EN | EN → ST: Stratification is stored order/imbalance; EN rise reduces steep gradients | EN → RB: Restoration is the engine of ledger flattening (RB → EN increase) | EN → RE: Rotation can create local order but globally dissipates (RE usually raises EN) | EN → FC: Flows are equalization channels; they reduce gradients while dissipating | EN → RI: Rectifiers are local low‑EN structures; maintaining them costs dissipation | EN → OW: Coherent waves are low‑EN order; thermalization raises EN | EN → ME: EN rises as ME becomes more evenly shared and less gradient-driven | EN → EN: Self: ledger of homogeneity in density/species/tension/motion/deformation | EN → TM: EN sets directionality of processes (arrow); modulates typical rates | EN → AS: Seeds/spheres are islands of stored structure; stability depends on ledger context | EN → RX: Events are EN “cash-out moments”: abrupt redistribution toward homogeneity |
| TM — Time / Rate Modulation | TM → CP: Sets the evolution clock: how fast medium states can change matters | TM → CZ: Species mobility sets process rates; different CZ → different tick speeds | TM → BV: Backfill resistance alters cycle times; harder BV → slower mechanisms | TM → DP: Pressure loads change work per cycle, shifting rates of processes | TM → ST: Different strata behave like different viscosities; rates vary by layer | TM → RB: Strong restoring environments require more work per tick → rate modulation | TM → RE: Rotating/shearing environments modulate rates via drag/collision regimes | TM → FC: Flow environments modulate rates (drag, shear, collision frequency) | TM → RI: Rate of rectification cycles matters; imprints persist or fade by timescales | TM → OW: Waves provide periodic references; local medium conditions shift frequency | TM → ME: Faster/slower processes change how quickly ME redistributes | TM → EN: Rate of EN increase is a time story: same mechanisms, different speeds | TM → TM: Self: time is uniform; rates differ with environment/mechanism load | TM → AS: Chemistry and bonding are time-dependent: sphere exchanges happen at rates | TM → RX: Timing of events (hazard rates) depends on environment; bursts vs slow leak |
| AS — Atomic Seeds & Spheres | AS → CP: Populates the plenum with structured displacers; sets micro‑heterogeneity | AS → CZ: Assigns roles: PCS frameworks vs lubricant carriers; sphere composition | AS → BV: Defines permeability/backfill pathways; how easy backfill is through matter | AS → DP: Seeds + spheres are local pressure/charge states; store tension | AS → ST: Atoms are micro‑stratification systems (spheres are stratified layers) | AS → RB: Stability = atomic buoyant equilibria; bonding = matched equilibria | AS → RE: Allows stable spin modes; rotating spheres entrain local medium | AS → FC: Provides channels/obstacles for flow; conduction = sphere/pathway behavior | AS → RI: Ordered structures imprint preferred pathways; crystal alignment biases motion | AS → OW: Spheres couple to waves: absorption/emission thresholds; refraction/scatter | AS → ME: Heating loosens spheres; collisions drive reconfig & bonding dynamics | AS → EN: Atoms are local low‑EN islands; maintained only with dissipation | AS → TM: Atomic clockwork depends on sphere tension; environment modulates rates | AS → AS: Self: seed identity + sphere families define chemistry/material behavior | AS → RX: Most events are sphere/seed reconfigs: bonds, discharge, decay steps |
| RX — Reconfiguration Events | RX → CP: Injects disturbances and released chunks into the plenum; creates pulses | RX → CZ: Redistributes which species are bound vs free; changes local mix | RX → BV: Abruptly opens/closes pathways (breakdown) or relieves suction constraints | RX → DP: Step releases flatten or invert pressure maps suddenly (sparks, shocks) | RX → ST: Can erase or create gradients (local re-layering after an event) | RX → RB: Jumps systems to new equilibria; relief surges follow | RX → RE: Imparts angular impulses or destroys entrainment patterns | RX → FC: Triggers surges of flow/counterflow (discharge currents, jets) | RX → RI: Events can write/erase imprints (remanence, annealing, breakdown resets) | RX → OW: Step events emit waves (light/radiation) and shocks; waves can trigger events | RX → ME: Converts stored tension/order into agitation and bulk motion (ME spike) | RX → EN: Net effect: increases homogeneity (EN rises) by redistributing gradients | RX → TM: Timing is hazard‑rate driven by environment; events are discrete markers | RX → AS: Events modify seeds/spheres; they are the mechanism of atomic change | RX → RX: Self: cascades, chain events, aftershocks; thresholds + feedback |