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feat: XState integration for Global Subspace auditing #39

Description

@liovic

Currently, react-state-basis excels at auditing the relationship between local hooks and React Context. However, in complex applications, the "Source of Truth" often lives in an XState machine.

A common architectural failure is State Shadowing: developers manually syncing parts of a machine's context or value into a local useState hook, creating redundant dimensions and 1-frame sync leaks.

Proposed Solution
We need a way to treat an XState machine as a Global Subspace Anchor ($\Omega$). By instrumenting the machine's transition lifecycle, we can pulse the Basis engine whenever the machine moves.

This would allow Basis to identify:

  1. Subspace Overlap: A local hook that is just a redundant copy of a machine's current state.
  2. Causal Cascades: An XState transition triggering a local state update, forcing an unnecessary double render.

Heuristic Logic (v0.5.0+)
Using the Direct Sum model ($V \approx U \oplus W$), the XState machine would occupy the $W$ (Global) subspace. Basis will then audit local hooks ($U$) to ensure the intersection is zero: $U \cap W$ = {0}.

Implementation Ideas

  • A high-level observer/middleware that hooks into @xstate/react.
  • Pulsing the engine on every .subscribe() or transition event.
  • Mapping the machine's id to the Basis label for clear forensics in the HUD Matrix.

The "Graph" Connection (v0.6.0)
In the upcoming Graph Era, this integration will allow Basis to calculate the Spectral Influence of a state machine. It will mathematically identify if a specific XState machine is the "Prime Mover" of your application's render volume.

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