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docs: fix a claim the clock correction superseded - #28

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brianmmaina merged 1 commit into
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docs-reading-fix
Aug 26, 2026
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docs: fix a claim the clock correction superseded#28
brianmmaina merged 1 commit into
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docs-reading-fix

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You asked me to check again, and there was one.

The leftover

docs/FARMER_2005.md's Reading section still said the laws fail "by up to four orders of magnitude on diffusion." That is the raw §A4 clock number, and the correction two sections above already showed most of it is a unit mismatch rather than model failure.

It survived my earlier sweep because the phrase wraps across a line break — grepping for the whole string missed it. Caught this time by joining lines before searching.

Also sharpened what that section claims

It led with the error being "monotonic in dp/p_c", which oversells:

  • the rank correlation is significant for diffusion (ρ = 1.000, p = 0.0167) but not for spread (ρ = 0.900, p = 0.0833)
  • at n = 5 the smallest attainable p-value is 0.0167, so that number is a floor, not a strength
  • the ordering within the small-tick group isn't real — GOOG and AAPL swap, persistently, in every one of the 13 blocks

The robust claim is the two-group separation, with 65 non-overlapping block measurements behind it. The section now says that, and says explicitly that the defensible statement is "tick-constrained stocks behave categorically differently" rather than "the error is monotonic in dp/p_c."

Swept the rest

Every other appearance of four orders of magnitude, 9,386, 20,629 and 1,777 is inside a correction section, quoted deliberately in order to correct it. Checked line-wrap-tolerant this time. Nothing else stale.

The Reading section still said the laws fail by up to four orders of magnitude
on diffusion. That was the raw A4 clock number and the correction two sections
above already showed most of it is a unit mismatch. It survived the earlier
sweep because the phrase wraps across a line break, so grep for the whole
string missed it.

Also sharpened what that section claims. It led with the error being monotonic
in dp/p_c, which oversells: the rank correlation is significant for diffusion
but not for spread, at n=5 the smallest attainable p is the one we got, and the
ordering inside the small tick group is not real since GOOG and AAPL swap in
every block. The robust claim is the two group separation, which has 65 non
overlapping block measurements behind it. Says that instead.
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brianmmaina merged commit 8471f24 into main Aug 26, 2026
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