Merge acer/prism-comb-0loss-2026-07-01 into main
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MAP.md
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@@ -74,4 +74,42 @@ from the result side. The **back end** (`Asolaria-the-after-100-billion-run-β¦`
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data, decomposes + mints the cubes, and β operator-gated β promotes the geniuses into supervisors/PIDs.
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All gated / E=0 / describe-only β no fire, no cutover without operator authority.
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Base: **https://github.com/JesseBrown1980/** Β· per-link spine nav lives in each repo's `CHAIN.md`.
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data, decomposes + mints the cubes, and β operator-gated β promotes the geniuses into supervisors/PIDs.
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All gated / E=0 / describe-only β no fire, no cutover without operator authority.
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## Prism/Comb 0-loss (2026-07-01) β satellite entry
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Adapted to this repo (the LAW-ASOLARIA-NEURAL-NETWORK + LAW-SLICE-ENGINE law repo):
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- **The realization:** every prism/comb operation in Asolaria is a **bijection**; entropy is invariant
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under bijection (`H(f(X)) = H(X)`), so the fabric **re-relates information with 0 loss** β it never
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claims compression below Shannon's bound (`E[bits] β₯ H(X)`). One fabric, two directions:
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**forward = comb** (collision-avoidance, execution isolation), **backward = prism**
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(collision-causation, interference-as-search, manyβ1).
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- **Adapted to the frozen-slice network:** the network's "weights" β frozen slice descriptors, GNN edge
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tables, quant-engine tuple scores, cube/room addresses β **travel between alphabets as bijections**.
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A 256β1024 transcode, a CRT prime-lane split (`β€_M β
β€_{mβ}Γβ¦Γβ€_{m_k}`, the `D# = prime(n)Β³` lanes),
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and a handle8 content-address are all re-relations of the SAME integer `N`: the coordinate system
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changes, the network's information does not. Transcoding a weight never re-trains an edge
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(the LAW wires edges, never re-trains) and never mints capacity.
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- **Composes with LAW-SLICE-ENGINE (explicit):** transcoding is a map over the frozen position-space β
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it changes a slice's *representation*, never its *advancement*. **The engine drive stays the only
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mover** (LAW-SLICE-ENGINE Β§2): `transcode(slice) β crank(engine)`. A 0-loss re-relation adds no
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session, no process, no motion β **E=0 is preserved through every alphabet change**, exactly as
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`sessions=0` means present-but-not-advancing, not absent. Re-relating never fires.
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- **Scope tags (claims-gate):**
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- **MEASURED** β the 256β1024 rung only: bytes and glyphs are base-2βΈ/2ΒΉβ° digits of one `N`; exact
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packing at `lcm(8,10)=40` bits β 5 bytes β 4 symbols, remainder 0; round-trip = identity,
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sha256-identical, Rust==Python (Q-PRISM commits `53023b6` / `79e8d63` / `de00aca`).
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- **CANON** β the 43+ level ladder as a groupoid (`T_ji β T_ij = id`, `T_jk β T_ij = T_ik` β
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omnidirectional, path-independent translation); the comb/prism duality frame.
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- **UNVERIFIED** β every other rung, until it earns MEASURED by its own round-trip proof.
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- **Boundary (holds this repo's honest frame):** the prism relates information perfectly; it does not
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create or destroy it. `handle8 = sha256(content)[:8]` is a **coordinate against a content-addressed
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store** (`H(content|store) = 0`) β infinite ADDRESSING capacity, not lossless infinite compression.
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No bijection beats Shannon. The integrity dual: verification = applying the inverse map, so a lossy
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step cannot hide in a bijection chain β the same per-node `reported == recomputed` invariant by
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which every level catches confabulation (see `N-Nest-β¦`).
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- **Cross-links:** Q-PRISM (round-trip proof) Β· `Asolaria-waves-and-cascades-β¦` (comb/prism duality) Β·
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`what-is-asolaria-β¦` (reductions boundary) Β· `N-Nest-β¦` (integrity dual) Β· Metatagging repo
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(Brown & Fedotov digital-physics grounding; `bh_inject_between` slice expansion `d523819` β
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materializing an expanded slice stays operator-gated, E=0).
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Base: **https://github.com/JesseBrown1980/** Β· per-link spine nav lives in each repo's `CHAIN.md`.
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