From 61ef0ff1603c3813f42996607f41ed79bc936601 Mon Sep 17 00:00:00 2001 From: Allaun Silverfox <28494262+allaunthefox@users.noreply.github.com> Date: Sat, 16 May 2026 16:30:15 -0500 Subject: [PATCH] Add logogram chirality route gate documentation --- .../famm/LOGOGRAM_CHIRALITY_ROUTE_GATE.md | 165 ++++++++++++++++++ 1 file changed, 165 insertions(+) create mode 100644 6-Documentation/famm/LOGOGRAM_CHIRALITY_ROUTE_GATE.md diff --git a/6-Documentation/famm/LOGOGRAM_CHIRALITY_ROUTE_GATE.md b/6-Documentation/famm/LOGOGRAM_CHIRALITY_ROUTE_GATE.md new file mode 100644 index 00000000..140c8e25 --- /dev/null +++ b/6-Documentation/famm/LOGOGRAM_CHIRALITY_ROUTE_GATE.md @@ -0,0 +1,165 @@ +# Logogram Chirality Route Gate + +## Purpose + +Promote logogram chirality into the active FAMM equation stack **only where it is beneficial**. + +The existing logogram/symbology design already requires direction, chirality, phase, placement, residual policy, and receipt hash for lawful atomization. This document adds the missing operational layer: chirality can become a route coordinate when orientation changes admissibility, transition legality, replay, or DAG identity. + +## Canonical rule + +```text +chirality is display metadata by default; +chirality becomes a route coordinate only when it changes admissibility. +``` + +## Chirality witness + +```math +\chi_{\mathrm{logo}} += +(d,\;h,\;\phi,\;p,\;m) +``` + +Where: + +| Term | Meaning | +|---|---| +| `d` | direction | +| `h` | handedness / chirality | +| `phi` | phase | +| `p` | placement | +| `m` | mode / modifier family | + +## Logogram atom + +```math +L_i += +( +\mathrm{id}_i, +\mathrm{payloadHash}_i, +\chi_{\mathrm{logo},i}, +\mathrm{residualPolicy}_i, +\mathrm{receiptHash}_i +) +``` + +## Packet primitive upgrade + +Current broad packet form: + +```math +\Gamma_i += +\gamma_i +\otimes +\chi_i +\otimes +\kappa_i +\otimes +\tau_i +\otimes +U_i\Lambda_i a_i +\otimes +\theta_i +\otimes +\epsilon_i +``` + +Upgrade: + +```math +\boldsymbol{\chi}_i += +[ +\chi^{\mathrm{geom}}, +\chi^{\mathrm{logo}}, +\chi^{\mathrm{braid}}, +\chi^{\mathrm{op}} +]_i +``` + +Then: + +```math +\Gamma_i += +\gamma_i +\otimes +\boldsymbol{\chi}_i +\otimes +\kappa_i +\otimes +\tau_i +\otimes +U_i\Lambda_i a_i +\otimes +\theta_i +\otimes +\epsilon_i +``` + +## Route probability upgrade + +```math +P(\sigma_t=i\mid X_t) +\propto +\exp[ +-\alpha d_i +-\beta\Omega_i ++\gamma I_i +-\eta C_i ++\lambda\mu_i ++\rho R_i ++\chi H_i +] +``` + +where: + +```math +H_i += +\operatorname{compat} +( +\chi_{\mathrm{state}}, +\chi_{\mathrm{op}}, +\chi_{\mathrm{logo}}, +\chi_{\mathrm{surface}} +) +``` + +## Where it plugs in + +| Layer | Use | +|---|---| +| FAMM | route score / scar class / invariant overlap | +| PIST | wrong-handed transition prevention | +| PIST-Chaos | operator sampling bias | +| NUVMAP DAG | projected node identity when chirality changes future legal moves | +| Delta stream | replayable orientation-changing event | +| GCCL-Rep | packet witness | +| AVM | deterministic replay input | + +## Add-only-if-beneficial gate + +Promote `chi_logo` to active routing only if at least one condition holds: + +```text +1. It disambiguates two same-payload atoms. +2. It prevents a wrong-handed PIST transition. +3. It reduces NUVMAP false merges. +4. It improves replay determinism. +5. It yields a measurable route-shortening or residual reduction. +``` + +Otherwise keep it as metadata/receipt only. + +## No-drift boundary + +This is not a claim that glyph orientation has universal semantic meaning. The payload remains the canonical object. Chirality only participates when its receipt changes route legality, replay, admissibility, or compression outcome. + +## Project sentence + +Logogram chirality becomes beneficial when orientation changes admissibility: the same payload with different handedness can produce a different PIST transition, NUVMAP address, scar class, or replay receipt, so chirality must be promoted from glyph metadata into a first-class route witness.