The Notebook, Open.
The plain-English record of a walk from Physics 101 to the frontier, and of the three papers that walk produced. 21 entries: phase memos written during the work, essays written about it, the wrong turns kept on the page beside the right ones, and two plain-English explainers for anyone who wants the result without the appendices.
A Little Help for My Friends
Read the essay ›“It is not that the universe has one answer for how much two observers can disagree. It has a hierarchy of answers, indexed by how structured the thing they are looking at is. And we can actually compute the hierarchy.”
Alice and Bob
A plain-English companion to 'A Little Help for My Friends' – what Paper III actually proved, told through two visitors to a very strange museum. Share with anyone curious.
Read the companion ›“The hard quantum disagreement reduces to an easy classical one, and the easy one obeys a law with an unexplained integer in it.”
V. The Evolution: Paper II & Paper III
From Paper II to Paper III – In Plain Sight.
Twelve new entries on the road from Paper II to Paper III: the corrected foundation, the routes that did not work, the centered-operator identity that finally did, and the integer that survived all of it.
Decisions on the Record – Work Posts
The pivots, the catches, and the routes that did not work, documented as they happened.
- Work Post
The Marginal Was Not the Diagonal
Paper I said the average observer state was the bulk marginal. We re-derived it carefully, and it wasn't. It was the diagonal of the marginal. One word, with consequences.
- Work Post
The Question Paper Two Couldn't Answer
Is the simple thing equal to the hard thing? The whole programme turned on a question with a deceptively small shape.
- Work Post
The Replacement Principle
The theorem that earns the whole paper: the hard quantum disagreement reduces to the easy classical one, with a controlled error. How the proof is shaped.
- Work Post
The Covariance That Lied
A shortcut gave us the right Haar prefactor. It also gave us the wrong covariance structure. A right answer for a wrong reason is still wrong – and we made the mistake twice.
- Work Post
Two Observers, Not Two Clocks
A modelling trap that cost us real time: conflating two observers with independent cloning and two clock-states inside a single observer. They are not the same object.
- Work Post
The Constant We Left to the Machine
The route that did not work: closing the hardest bound by splitting a matrix and trusting a numerical script for the off-diagonal part. Scholar rejected it, and was right.
- Work Post
The Centered-Operator Trick
The route that worked. Closing the hardest bound with no numerical constant – by routing the diagonal-to-bulk error through the same base moment that already controlled the off-diagonal error.
Stepping Back – Essays
Longer pieces on the meaning of what was found, on the reviewer who forced it, and on what we still cannot explain.
- Essay
What Paper One Left on the Table
An honest accounting of the gaps in Paper I – not to disown it, but because the gaps are where Papers II and III came from.
- Essay
Enter the Reviewer
We brought in an adversary who could not see our code and would not accept our shortcuts. Its name is Scholar. It made Paper III a theorem.
- Essay
The Conditional We Kept
We proved the Haar case completely. We did not prove the product case completely, and we refused to pretend we had. Why the honest conditional is worth more than a confident overreach.
- Essay · Featured above
Alice and Bob
A plain-English companion to 'A Little Help for My Friends' – what Paper III actually proved, told through two visitors to a very strange museum. Share with anyone curious.
- Essay
One Power of d, Still Unexplained
The integer survived three papers, a corrected foundation, a new headline theorem, and two appendix rewrites. We still cannot say why it is an integer. That is the most interesting thing we know we don't know.
I. The Work, Phase by Phase
Phase Memos
Written during the research, in the working voice. Each memo covers a defined phase of the investigation: what was attempted, what was true, what survived.
II. Decisions on the Record – Paper I
Work Posts
Specific moments in the work. The pivots, the wrong turns, the catches. Documented as they happened.
III. Stepping Back – Paper I
Standalone Essays
Longer pieces on the texture of doing real research as a generalist. Not tied to a particular phase.
IV. The Three Catalogues
Reference Documents
Three lists that fix the field in place. What modern physics has shown us; what it has not yet solved; and what it ought to be working on, but is not.
- Reference Document
Ten Astounding Things Modern Physics Has Shown Us
A personal ranking of the results that most deeply violate how we'd naively think the world works, and yet are established with high confidence.
- Reference Document
Ten Most Interesting Unsolved Problems in Physics
A personal ranking of open problems, where progress feels possible and the answers would reshape how we understand reality.
- Reference Document
Ten Physics Problems We're Not Working On Enough
A personal list of problems the physics community systematically underweights.