open-standards/wai/extensions/volumetric.md
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wai: reader limits for the extension formats' durations
A score, haptic signal, audio scene, splat4d clip or film declares its length in its
contract, and rendering allocates in proportion: a score's mixdown allocated `duration`
samples outright, a haptic channel `duration` × 2 bytes, a scene's stereo mix 20 bytes a
sample, and the splat4d and film receipts a hash a frame. Nothing bounded the
declaration, so a few bytes could ask a renderer for more memory than any machine has.
SECURITY.md recorded it as a gap when the fuzzing PR found the reader-side reservations.

Each extension's contract section (score, haptics, spatial-audio, volumetric,
linear-film and its reel) now has a reader limit shared with SPEC §2, through a new
always-on module `wai::limits`:
- score and haptics: `duration × channels` at most 2^27 samples;
- audio scene: `duration` at most 2^26, so the stereo floor is at most 2^27 samples;
- splat4d `n_frames`, film `frames`, a reel's shots together: at most 2^20 frames.
A reader may refuse past them (`duration_too_long`) when it reads the contract, before
anything is rendered; a conforming encoder writes none.

The film schedule's tick, `start_tick + f × ticks_per_frame`, wrapped in release builds
and panicked in debug ones. A reader must now refuse a schedule whose last tick passes
2^64 - 1 (a film's, and each shot's of a reel); `Film::frame_tick` saturates and
`Reel::frame_tick` uses checked arithmetic.

tests/extension_duration_limits.rs rewrites a committed vector of each format to declare
exactly its limit (it reads) and one past it (refused by name), and checks the film
schedule ending at 2^64 - 1 (reads) and past it (refused). Falsified: with the readers
as they were, all three tests fail. The world, audio, haptic, splat4d, score and film
corpora verify unchanged; the 275 lib tests with the container features pass. CI runs
the test beside container_reservations on every leg.

SECURITY.md drops the gap and keeps the one this exposes: replaying a world to a far
tick costs time in proportion (memory is bounded, time is not).

Co-Authored-By: Claude Opus 5.5 <[email protected]>
2026-10-14 11:07:16 -04:00

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WAI Extension: Volumetric / 4D Splats

Status: Draft. Phase 5 of the cargo roadmap (the frontier). A scene that is volumetric and moves: ship a Gaussian cloud as per-Gaussian keyframed tracks, the sink interpolates the cloud at any frame and renders it with the EWA pipeline. Conformance is frame-state-equivalence. Reference impl: the splat4d feature of wai-rs; corpus: volumetric-conformance/; live sink: wai.transaction.science/volumetric. Keywords MUST, MUST NOT, SHOULD, MAY are RFC 2119/8174.

1. Scope and model

A wai.splat.4d object is a temporal Gaussian splat: the static splat (wai.splat.spz) is a single anisotropic-Gaussian cloud; this extension gives each Gaussian a keyframed track — position, scale, rotation, color, opacity over time — and the sink reconstructs the cloud at any frame by interpolating the tracks in the wai.det.fixed64 floor. It is lever 3 (instructions-at-the-sink) for volumetric capture: the wire carries the trajectories, the sink reconstructs the frame.

In scope: the container, the per-Gaussian keyframe model, the deterministic reconstruct contract, the frame-state-equivalence conformance criterion, and the receipt profile.

Out of scope: a transport; the render (EWA splatting, depth sort, alpha blend — the sink's, exactly as the static splat's rasterization is); a codec for the cloud bytes (a real capture is authored by an upstream 3DGS/4DGS pipeline; this extension carries and verifies its trajectories, it does not fit Gaussians to video).

Relationship to the core spec: mirrors haptics / spatial audio. The reconstruct runs in the wai.det.fixed64 floor; media takes the informational value "volumetric"; wai.splat.4d is authoritative.

2. Container (W4DS)

"W4DS" | u16 n_sections | section table (u8 kind, u32 off, u32 len) | sections
kind section required
0x01 contract (canonical JSON) REQUIRED
0x02 Gaussian tracks REQUIRED

2.1 Contract

{ "frame_rate": 30, "n_frames": 13, "n_gaussians": 2,
  "numeric": "wai.det.fixed64" }

Reader limit. A reader MUST NOT refuse a clip for its length while n_frames is at most 1 048 576 (2²⁰, the video limit of SPEC §2), and MAY refuse one past it (duration_too_long), when it reads the contract, before it reconstructs anything. A conforming encoder writes no clip past it.

2.2 Gaussian tracks

n_gaussians u32, then per Gaussian: n_keys u16, then n × ( frame u64 | pos[3] | scale[3] | rot[4] | color[3] | opacity ), the 14 attributes as i64 Fx in that field order. Each track MUST be ascending by frame. color and opacity are in [0, 1]; rot is a quaternion (x, y, z, w).

3. Reconstruct contract

For each Gaussian, at frame f: each of the 14 attributes is the Fx linear interpolation of the track's keyframes at f; before the first / after the last key the endpoint holds. The canonical reconstruction of a frame is n_gaussians u32 | per-Gaussian 14×i64 in the field order above. The floor stays trig-free — rotations interpolate component-wise (nlerp without renormalization, deterministic); the sink normalizes the quaternion for rendering, which is presentation.

4. Conformance — frame-state-equivalence

Given the same wai.splat.4d, a conforming sink MUST reconstruct the identical Gaussian set at every frame, hence the identical BLAKE3 — on every machine, no tolerance parameter.

frame_hash = BLAKE3("wai:splat4d-frame\x01" || frame_le || canonical frame bytes)
clip_hash  = BLAKE3("wai:splat4d-clip\x01"  || contract_bytes || tracks)

frame_hash is the temporal counterpart of the static splat's content hash; clip_hash is the frame-independent identity.

5. Fidelity and size (honest)

A splat approximates a captured scene, so wai.splat.4d is tiered Lossy like wai.splat.spz — even though the per-frame reconstruction from the tracks is frame-state-exact. Volumetric is heavy: a real cloud is megabytes per frame. The win here is the same as the static splat — content-addressing, dedup, one signed envelope, and a verifiable per-frame state — not payload reduction. We state that plainly rather than imply a compression claim the format does not make.

6. Receipt (JWP profile)

clip_hash is the identity; the group's objects are per-frame reconstruction blocks (frame_hash per frame), Merkle-bound; one Ed25519 signature (verified as SPEC §7 Signatures requires) over clip_hash + root + work (= n_frames × n_gaussians) + carried joules_micro; parent_receipt_hash chains — the worlds / audio / haptics receipt shape reused. The figure's acquisition class rides beside it as an optional signed label (energy-measurement §2.8): absent, the receipt keeps its legacy bytes and the figure is unlabelled; present, it is inside the signature. The reference meter labels every figure it measures OnChipCounter, with its declared uncertainty.

Appendix

Frame-state-equivalence is sample-equivalence with the haptic sample replaced by a whole Gaussian cloud, and the static splat extended to time. The same fixed-point floor that makes a world replay, a mix sum, an actuator buzz, a feed converge, and a body pose now makes a volumetric frame reconstruct — one floor, six cargo classes, one verification. The representation is heavy and approximate; the reconstruction of it is exact and auditable, and that is the honest thing the standard adds.