Appendix — Word Index

Top 81 content words by frequency (≥3 occurrences, stopwords excluded), organized as a depth-4 ternary tree (34 = 81 leaves). Each leaf links to the corpus (34,929 pages).
Method. A corpus of 476 conversations was extracted from HTML chat logs, stripped of platform branding and emoticons, and tokenized. Word frequencies were computed via Mathematica (wordcount.wl); the resulting frequency-sorted list was tested for semantic structure beyond what frequency ranking alone would predict. The primary test (semantic-embed-test.py) builds co-occurrence vectors from the raw corpus (window=5, vocab ≥10 occurrences) and measures mean cosine similarity between frequency-adjacent word pairs vs. 200 shuffled baselines. Result: Z=27.89, p=1.74×10−171, confirming that words adjacent in the frequency list are semantically closer than chance. The effect concentrates in mid-frequency and rare words (Z=10.25 for ranks 5000–10000), not in common words where high co-occurrence is trivially expected.
Page references. For each word, all occurrences are located in the corpus. A sliding-window density score (neighbors within ±1% of corpus span) identifies the most locally concentrated regions. The 81 densest pages are selected with a minimum-gap constraint to ensure coverage across the full corpus.
Reproducibility. All scripts are available in the repository: frequency-coherence/ (statistical tests), scripts/gen-appendix.py (this page).
[0] 27 terms
[00] 9 terms
[000] 3 terms
[001] 3 terms
[002] 3 terms
[01] 9 terms
[010] 3 terms
[011] 3 terms
[012] 3 terms
[02] 9 terms
[020] 3 terms
[021] 3 terms
[022] 3 terms
[1] 27 terms
[10] 9 terms
[100] 3 terms
[101] 3 terms
[102] 3 terms
[11] 9 terms
[110] 3 terms
[111] 3 terms
[112] 3 terms
[12] 9 terms
[120] 3 terms
[121] 3 terms
[122] 3 terms
[2] 27 terms
[20] 9 terms
[200] 3 terms
[201] 3 terms
[202] 3 terms
[21] 9 terms
[210] 3 terms
[211] 3 terms
[212] 3 terms
[22] 9 terms
[220] 3 terms
[221] 3 terms
[222] 3 terms
actually 5,196 (81 pp.)
arithmetic 5,002 (81 pp.)
becomes 4,515 (81 pp.)
boundary 4,099 (81 pp.)
closure 7,894 (81 pp.)
collapse 7,108 (81 pp.)
constant 4,393 (81 pp.)
constants 4,134 (81 pp.)
constraint 5,832 (81 pp.)
constraints 5,376 (81 pp.)
data 5,101 (81 pp.)
define 4,630 (81 pp.)
digit 7,477 (81 pp.)
digits 4,438 (81 pp.)
energy 4,196 (81 pp.)
entropy 5,032 (81 pp.)
exactly 7,131 (81 pp.)
exists 4,126 (81 pp.)
final 6,630 (81 pp.)
finite 8,919 (81 pp.)
fixed 10,413 (81 pp.)
framework 4,275 (81 pp.)
function 4,409 (81 pp.)
geometry 4,679 (81 pp.)
group 4,216 (81 pp.)
high 4,641 (81 pp.)
human 6,889 (81 pp.)
identity 4,477 (81 pp.)
infinite 5,129 (81 pp.)
information 8,315 (81 pp.)
internal 4,592 (81 pp.)
invariant 7,038 (81 pp.)
knot 9,466 (81 pp.)
language 4,723 (81 pp.)
length 4,863 (81 pp.)
level 4,322 (81 pp.)
line 4,488 (81 pp.)
logic 10,207 (81 pp.)
logical 4,137 (81 pp.)
loop 4,545 (81 pp.)
machine 4,106 (81 pp.)
manifold 4,368 (81 pp.)
mass 4,015 (81 pp.)
math 6,405 (81 pp.)
mathematical 5,972 (81 pp.)
meaning 4,400 (81 pp.)
minimal 4,733 (81 pp.)
model 10,229 (81 pp.)
number 10,121 (81 pp.)
numbers 5,845 (81 pp.)
observer 4,613 (81 pp.)
other 4,162 (81 pp.)
phase 5,764 (81 pp.)
physical 5,782 (81 pp.)
physics 7,295 (81 pp.)
pi 7,976 (81 pp.)
point 12,798 (81 pp.)
prime 10,576 (81 pp.)
real 6,209 (81 pp.)
reality 5,015 (81 pp.)
scale 8,879 (81 pp.)
self 13,951 (81 pp.)
something 4,201 (81 pp.)
space 8,191 (81 pp.)
specific 5,469 (81 pp.)
stable 5,174 (81 pp.)
state 10,704 (81 pp.)
step 6,880 (81 pp.)
string 4,821 (81 pp.)
structural 4,479 (81 pp.)
structure 14,997 (81 pp.)
substrate 5,962 (81 pp.)
symmetry 7,165 (81 pp.)
system 13,140 (81 pp.)
text 14,012 (81 pp.)
theory 7,109 (81 pp.)
three 4,806 (81 pp.)
time 7,747 (81 pp.)
true 4,006 (81 pp.)
truth 4,032 (81 pp.)
universe 8,714 (81 pp.)