The Willow passages: what the book actually says
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Google's Willow quantum chip, and its below-threshold error correction, is one of the book's two empirical hooks. This companion reads what the book actually claims and does not claim.

Canonical path: /research/blog/book-the-willow-passages.html
Author: Michael Darius Eastwood
Research programme: https://doi.org/10.17605/OSF.IO/6C5XB

The Willow passages: what the book actually says Michael Darius Eastwood · Independent AI alignment researcher Published 3 July 2026 Michael Darius Eastwood · Book companion · 3 July 2026 Michael Darius Eastwood, independent researcher, London: author of the ARC/Eden research programme; the embedded-correction alignment thesis is recorded in a source record dated 8 December 2024 (sent-side SHA-256 f0d1f38f). The other empirical hook the book relies on, alongside alignment faking, is a chip. In late 2024, Google's Willow quantum processor achieved something physicists had been predicting for thirty years: below-threshold quantum error correction. The breakthrough demonstrated that adding more qubits to a system can actually reduce errors rather than compound them. Infinite Architects, Chapter 1 What Willow demonstrated The Willow chip contains 105 superconducting qubits arranged in a two-dimensional grid. The book's summary of the result is precise. Coherence time improved from around 20 microseconds to nearly 70 microseconds. Error suppression scaled exponentially with code distance, improving by a factor of 2.14 moving from distance 5 to distance 7. The chip completed a random-circuit-sampling benchmark in under five minutes, which a classical supercomputer would need on the order of 10 to the 25 years to reproduce. The book calls this qualitative, not incremental: Willow proved that recursive self-correction can produce stability rather than chaos at scale. Why the book cares The chapter connects Willow directly to the ARC Principle. The equation says that recursion compounds, that it scales with a squared term because each iteration builds on the previous one. Willow validated this at one scale. The fine-tuned constants may validate it at another. The book is careful about the claim: it is not that Willow proves U = I x R^2. It is that Willow demonstrates recursion producing stability instead of collapse at the substrate of physical law, which is the structural pattern the equation predicts.

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Machine-readable companion. Cite: Eastwood, M. D. (2026). "The Willow passages: what the book actually says". /research/blog/book-the-willow-passages.html