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Buffers Follow Bandwidth-Delay — hypothesis

Supplied working report; original verdicts not validated.

Review status: Needs review. This is an archival source note, not a passed proof.

hypothesis.md

# Buffers Follow Bandwidth-Delay — hypothesis

**Source:** Incoprea Theory Volume X, Theory 041 / Networks & Telecommunications.

**Claim (verbatim):** "Network throughput collapses when buffer size falls below a
critical fraction of the bandwidth-delay product, rather than degrading
smoothly."

**Predictions (verbatim):**
- P1 — Throughput should collapse below a buffer fraction.
- P2 — Enlarging the buffer should restore throughput abruptly.

**Refutation (verbatim):** Smooth throughput decline with buffer would remove the
threshold.

**Pre-registered test.** Simulate a windowed sender whose in-flight packet count
is limited by the buffer size, on a link with a fixed bandwidth-delay product.
Measure steady-state throughput and utilisation as the buffer sweeps from far
below to far above the product, and locate the buffer at which utilisation
saturates.

**Fixed before running:** link capacity and round-trip time fixed; the buffer is
the only varying quantity.

Included code and results