The Non-Dual Substrate (NDS)
SHIVYA completely abandons classical consensus models in distributed state networks. Instead of forcing replicas to agree on a global sequential sequence of events, SHIVYA models history as a continuous causal manifold and transactions as geometric flows.
By applying the Hodge Decomposition Theorem on graph simplicial complexes, we isolate local transaction updates (gradient flow) from circular double spends and race conditions (curl flow). Replicas sync and merge states homeostatically without a central coordinator.
To run the live distributed ledger conflict simulation locally:
PYTHONPATH=. python3 -u examples/01_mesh_simulation.py
Then open the dashboard locally at http://localhost:8000 or http://localhost:8001 to view real-time state reconciliation.