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49 lines
2.4 KiB
Markdown
49 lines
2.4 KiB
Markdown
# Charged-Mass Braid Sieve (InteractionPhysics)
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> *Charged-Mass Braid Sieve transfers unstable information through a path-sensitive braid field so its charge can be separated into stable signal, useful residue, scar memory, or dischargeable noise.*
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**Domain:** `axis-11-geometry`
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**Secondary Domains:** `axis-07-attestation`, `axis-01-compression`, `axis-06-safety`
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**Settlement:** `FORMING`
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## Core Mechanism
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The **Charged-Mass Braid Sieve** treats unstable information not as a static object to be judged, but as a path-sensitive entity whose identity evolves based on its exchange history within a braid field. It provides a formal mass-transfer pipeline to resolve the charge of incoming signals.
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### Transfer Pipeline
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1. **Injection:** Introduce unstable information packet $x_i$.
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2. **Provisional Weighting:** Assign initial charged mass $M_i$.
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3. **Rotation:** Route $x_i$ through the braid field $B(t)$.
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4. **Instability Exposure:** Allow repeated braid interactions to separate stable phase from charge instability.
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5. **Mass Transfer:** If the signal proves admissible, transfer its mass into the stable center $C(t)$.
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6. **Sieve Charge Resolution:**
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- **Coherent charge:** Promoted to a stable **basin**.
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- **Partial charge:** Held as an edge survivor (**useful residue**).
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- **Unstable charge:** Sent to **FAMM scar** for quarantine.
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- **Incoherent charge:** Discharged as noise.
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## Mathematical Mapping
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The sieve acts as a physicalized execution of the **Mass Number** ratio:
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$$ \text{Mass Number} = \frac{\text{Admissible Reduction}}{\text{Residual Risk}} $$
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Through rotation, the sieve continuously updates the mass of the packet based on its interaction with the field:
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$$ M_i(t+1) = M_i(t) + \Delta_{\text{admissible}}(x_i, B, C) - \Delta_{\text{risk}}(x_i, B, C) $$
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The foundational **Transfer Rule** dictates that:
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*Unstable charge becomes useful only if rotation lowers residual risk.*
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## Topological Equivalence
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This primitive bridges standard metric models and the braid-theoretic information architecture of the Sovereign Stack:
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| Standard Model | Sovereign Stack Model (Charged-Mass Braid Sieve) |
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| :--- | :--- |
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| Static Identity | Path-Sensitive Identity (Anyon Rotation) |
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| Fixed Mass | Interaction-Weighted Charge Mass Field |
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| Binary Validation | Admissibility Sieve Test |
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| Discarded Data | FAMM Scar / Useful Residue Phase Drift |
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| Output Value | Emergent Center (Stable Basin) |
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