Topology

Babylon uses graph topology to represent relationships between classes, territories, and other entities.

The Graph Model

The simulation maintains a NetworkX directed graph where:

Nodes represent entities:

  • SocialClass - Classes with economic and ideological attributes

  • Territory - Spatial locations with heat and profile attributes

Edges represent relationships:

  • EXPLOITATION - Economic extraction relationships

  • SOLIDARITY - Class consciousness connections

  • WAGES - Labor-wage relationships

  • TRIBUTE - Imperial tribute flows

  • TENANCY - Class-territory occupation

  • ADJACENCY - Territorial proximity

State Transformation

The system uses a pattern of transforming between representations:

# Convert Pydantic state to graph
graph = world_state.to_graph()

# Run simulation systems on graph
engine.run_tick(graph, services, context)

# Convert back to Pydantic state
new_state = WorldState.from_graph(graph)

This allows the simulation engine to work with fluid graph operations while maintaining strict data validation through Pydantic models.

Solidarity Networks

Solidarity edges are critical for consciousness transmission:

  • Agitation spreads along SOLIDARITY edges

  • Without SOLIDARITY, wage falls produce national identity (fascism)

  • With SOLIDARITY, wage falls produce class consciousness

This implements the George Jackson model of ideological routing.

Territory Heat

Territories have a heat attribute representing state attention:

  • HIGH_PROFILE activities increase heat

  • LOW_PROFILE activities decrease heat

  • Heat >= 0.8 triggers eviction pipeline

  • Evicted classes spill over to adjacent territories

Phase States & Percolation

The solidarity network undergoes phase transitions analogous to physical matter. Babylon implements a 4-phase model that distinguishes between broad mass movements and disciplined vanguard parties:

Gaseous State (percolation ratio < 0.1)

Atomized leftism. Individual cells operate in isolation. No giant component exists. The state can eliminate nodes without cascade effects. Consciousness transmission is blocked.

Transitional State (0.1 <= ratio < 0.5)

Emerging structure. Some clusters are forming but no vanguard yet. The network is vulnerable to targeted disruption. Consciousness can propagate within clusters but not across the full network.

Liquid State (ratio >= 0.5 AND cadre_density < 0.5)

Giant component formed but with weak ties. A mass movement has emerged but lacks disciplined cadre. Many sympathizers (edges > 0.1) but few committed activists (edges > 0.5). Vulnerable to ideological drift and internal division. Historical example: Occupy Wall Street.

Solid State (ratio >= 0.5 AND cadre_density >= 0.5)

Giant component with strong ties throughout. The vanguard party has crystallized with iron discipline. Committed cadre dominate the network. Can survive repression and maintain ideological coherence. Historical example: The Bolshevik Party (1917).

The percolation ratio is calculated as L_max / N, where L_max is the size of the largest connected component and N is the total number of social class nodes.

The cadre density is calculated as actual_liquidity / potential_liquidity, measuring the ratio of committed activists (strong ties) to sympathizers (weak ties) in the network.

Phase Transition Events:

When the percolation ratio or cadre density crosses a threshold boundary, the TopologyMonitor emits a PhaseTransitionEvent. This enables the AI narrative layer to generate prose about organizational crystallization or fragmentation.

# Phase transition from mass movement to vanguard party
event = PhaseTransitionEvent(
    tick=15,
    previous_state="liquid",
    new_state="solid",
    percolation_ratio=0.55,
    cadre_density=0.65,  # Strong cadre discipline
    largest_component_size=11,
)

Key Insight: The distinction between Liquid and Solid phases captures the tragedy of revolutions that had the numbers but lacked the discipline. A mass movement (Liquid) can be dispersed by ideological confusion; a vanguard party (Solid) maintains coherence through repression.

Resilience Testing

The TopologyMonitor can simulate state repression via purge tests:

  1. Remove 20% of high-centrality nodes (targeted repression)

  2. Check if giant component survives at 40% of original size

  3. If test fails: “Sword of Damocles” - movement is fragile

Movements with star topology (charismatic leader) are fragile. Movements with mesh topology (distributed leadership) are resilient.

Implementation

See babylon.models.world_state.WorldState for the core state model and graph transformation methods.

See Topology System Reference for the TopologyMonitor API reference.

See Percolation Theory & Phase Transitions for the mathematical foundations.