Language models
through physics
WF-AI
Wave Field Labs
Vol. 1
Live · 125M field-attention preview

Wave Field
Attention

Long-context attention for coding agents that remember entire repositories: issues, traces, tests, and tool calls held in one continuous field, without quadratic cost.

↓ Move your cursor through the field
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O(n log n)  ·  FFT wave convolution  ·  128K context  ·  2.2M tok/s  ·  sub-quadratic  ·  full-repo reasoning  ·  causal oscillator kernel  ·  
01 / Capability

The first LLM that understands your entire codebase.

A sub-quadratic breakthrough for full-repo reasoning. Code, issues, tests, diffs, traces, and tool-call history live in one working field, not a window you keep paying quadratically to widen.

wavefield · agent session125M · 128K ctx
wavefield@repo~/auth Find the auth regression across these three traces, update the failing tests, and explain the patch.
→ traced 3 sessions · 41 tool calls held in context
→ regression: token refresh races logout in auth/session.ts:142
→ patched the guard, updated 6 failing tests in auth.test.ts
→ root cause + diff summary ready
02 / Throughput

Long context gets faster, not slower.

Wave Field uses FFT-based propagation, so the expensive setup is amortized as context grows. Throughput stays high deep into the window.

0.0M
tok/s throughput
at 128K context
faster than standard
attention at length
0K+
tool calls held in
working memory
0K
context window
in the preview
Tokens
Standard attn
Wave Field
Result
4K
1.0× cost
1.0× cost
near-equal
32K
~16× cost
3.1× cost
5× faster
128K
~256× cost
12× cost
21× faster
03 / Model

A repository is not a prompt.
It is a field of signals.

Coding agents juggle symbols, commits, tickets, traces, and failed attempts. Wave Field writes all of it into a shared causal medium instead of stacking a pile of retrieved snippets.

tree.map
Repo
Keep code structure in working memory

Symbols, files, tests, and docs can contribute to one field state instead of competing for a narrow prompt window.

loop.state
Tasks
Carry state through long agent loops

Debug traces, failed attempts, and reviewer constraints can remain active while the agent searches, edits, and verifies.

signal.emit
Tools
Feed agent actions with grounded context

Expose repo memory to planners, code editors, test runners, and review agents through practical runtime interfaces.

04 / Mechanism · scroll to step through

Tokens scatter in. Waves do the work.

Tokens write into a shared medium, waves propagate through the field, heads couple, and token positions read the result back out.

Scatter
token values enter field space
Propagate
FFT wave convolution
Couple
heads interact during attention
Gather
field returns to tokens
scatter.module
O(n log n)
05 / Economics

150×+ lower long-context compute at scale.

Quadratic attention pressure dominates spend as context grows. Wave Field replaces it with O(n log n) propagation, so training and inference economics improve as the window widens.

0×+
lower compute on long-context workloads vs. standard attention
O(n log n)
attention complexity replaces the O(n2) wall on context
Workload
Standard
Wave Field
Attention compute
O(n2)
O(n log n)
128K forward pass
256× cost
12× cost
Long-context training
quadratic blow-up
scales near-linear
06 / For builders

What agents can do with a real memory.

01
Query a repo with citations

Ask across the whole tree and get answers grounded in exact files and lines.

wf query --cite
02
Debug across traces & diffs

Correlate failing runs against recent changes without re-feeding context.

wf debug --trace
03
Prepare PRs and tests

Draft changes and the tests that cover them in one continuous pass.

wf pr --with-tests
04
Migrate APIs in bulk

Apply a coherent change across hundreds of call sites in a single session.

wf migrate --api
05
Explain architecture drift

Surface how a system diverged from intent across its commit history.

wf explain --drift
06
Keep long-running state

Hold an agent's working memory across thousands of steps in one field.

wf session --persist
07 / Open

Open primitives for people building agents.

The important objects (a damped wave kernel, a field state, coupling across heads, and efficiency accounting) are things agent builders can reason about directly.

Reference implementation

+

A compact, readable kernel you can drop into an existing transformer stack. Scatter, propagate, couple, and gather are exposed as discrete, inspectable ops, with no hidden attention matrix to debug.

Schematics & kernel

+

Each head is a causal oscillator with three learnable scalars: omega controls pattern scale, alpha controls range, phi gives heads distinct responses. The same compact equation expresses local syntax and long document structure.

Agent-memory tracing

+

Inspect what an agent retained across a long run. Because every tool call deposits a signal in the field, you can trace which past events shaped a given decision instead of guessing at a context window.

Preview access

Request a preview.

We're onboarding teams building serious coding agents. Tell us what you're building and we'll get you into the field.

WF