Library of documents

The entrance to the ARC corpus (Architecture of Relational Coherence). This volume proves almost nothing by itself: it states where the work comes from, how it was done and under which rules. It opens with two texts by the author, then sets out the discipline of the corpus: five statuses (Theorem, Reading, Prediction, Fact, Open problem), the engraved rules R1 to R11 and the contradiction protocol. It continues with the Lexicon, which gives a single meaning to twenty words that science uses with several meanings, the map of the twelve volumes, the objections raised by external audits with the place where each is answered, the author's stated positions, and Les Phrases de la Nuit. A reader holding only this volume knows what the corpus claims, with what degree of certainty, and where to check.

The essential volume of the ARC corpus. From a single operation, 1 ⊕ 1 = 3 (two terms that meet make three, because the relation counts), it shows how the cadastre of nine positions unfolds without any choice up to the closure 9, shown to be the only balanced closure by a sweep of all possible closures. It reads this cadastre in the multiplication table: four pairs summing to 9, an empty centre 4.5, two rails {1, 4, 7} and {2, 5, 8} carrying every prime, and an axis {3, 6, 9}. It covers the building blocks 2 and 3, the two zeros, the 7, the 19, the two-faced object, restored logic and the reply to the charge of numerology. Every statement carries its status; calculations are shown and rechecked.

Everything the ARC corpus says about its root figure: two concentric circles with a square between them. The area of the small circle is exactly half that of the large one, the diagonal of the square is the diameter of the large circle, and the three constants √2, π and φ find their place in it. The volume covers the seven regular polygons from triangle to nonagon and the geometric origin of units of measure, the historical confusion of double and square, the other triangle, the notified square, the operations the author calls forgotten, the beat, trinitarian subtraction, the octet rule, the end of integral calculus and the seven convergences of one half, and the fractal law. It also establishes the uniqueness of base ten through the square closure 9 = 3², and studies the family of bases that only share its form.

Three parts. The Code: two pages anyone can redo with the 1 to 9 multiplication table, the arithmetic core by pencil, the corpus auditing itself, and twelve worked exercises; each proof is given in four steps (the receipt, the pencil, what the pencil establishes, what it does not). The Register of Errors: one hundred and sixty entries (R.1 to R.160), each with its cost line and its address, and fifty-eight engravings (G.1 to G.58) in which the corpus keeps on record its own claims made too early, with their correction. Manufactured chaos: the formula of chaos and its three forms, chaos produced by the tool, the end of approximation, the completeness principle, twelve dated cases of data contaminated by the instrument, and the price of speed.

The whole number theory of the ARC corpus in one book. The position of primes on the self-generating 6k ± 1 grid, and the delfine: the corpus's name for a composite of the grid, a descendant rather than a reject, exactly enumerated by four families k = 6ab ± a ± b, so that the grid is exactly the union of primes and delfines. Then the rhythm of squares and the number 24, twin primes and the two lattices. The Collatz and Goldbach conjectures followed through the cadastre, with the exact boundary of what the cadastre can and cannot say about them. The more-than-perfect number, the cascade and the bell, numbers that remember, the 196 puzzle, 1729 and the fifth pair. Theorems keep their original numbers (Theorems 1 to 41 of Tomes I and II), predictions keep their failure criterion. Proofs are short: one thesis of the volume is that once the closure of the cycle is restored, many mysteries are proved in two lines.

What the ARC corpus has written on four Millennium Prize problems: the Riemann hypothesis, P versus NP, Navier-Stokes regularity and the Yang-Mills mass gap. One thesis: in these problems the obstacle is not in the object but is produced by the language in which they are stated, which changes the object along the way without changing its name. For Riemann the volume starts from π, shows that the zeros of ζ are neither those of the sum of integers nor those of the product over primes, gives the corpus's own reading (finite and infinite mixed, the non-constructible zero, the Euler product) and dates the same mark in twenty-one moves of the history of science. The author's theses are Readings, declared as such; everything withdrawn along the way is kept with its reason.

What the ARC corpus says about proof: what it is, what it forgot, how it was received, who showed their proofs and who kept them in a drawer, and why the question of why never receives an answer. The volume follows the line of ten moves, from Hippasus to Copenhagen, through Aristotle, Stevin, Viète, Descartes, Newton and Leibniz, Gauss, Napoleon, Fourier and Boltzmann. Its main piece, The Trial of Proof, is given in full: indictment, investigation, judgement, numbered exhibits and falsifiable predictions. It continues with the undecidable why, the lineage of zero, the two Eulers, Gauss's drawer and the problem that created the problem. The author's rule governs every page: the corpus dates moves, it does not judge people.

What the ARC corpus says about physics, in one sentence: measurement is projection. A complete state is read by an instrument that keeps only part of it, and what is called randomness, indeterminacy or collapse is the price of that reading, not a property of what is read. The first chapter decomposes the Tsirelson bound 2√2 into three exact factors. The following chapters apply the same grammar to the quantum of action, Heisenberg, the tunnel effect, the proton as axis, the Standard Model, the nested atom, strings and E = Dc². Two rules hold throughout: Bell's theorem is not contested, and a Reading remains a Reading; a reading that reproduces the numbers of received physics earns its place only through its predictions.

What the ARC corpus says about matter, the cosmos and their thermodynamics, from the smallest to the largest. The digits of the atomic number read as the plan of electron shells, the 4-6 trinity and the uniqueness of 24, the circuit of light and life, the two mirrors of quantum rotation, the nucleus as a pair of potentials, the atom folded into a pyramid, and two pre-registered predictions, including P-NA-1 on cobalt. Then the cosmos: the sedimentation of light up to iron, the cosmic dipole and its seven registers. Finally thermodynamics reread: entropy, nothing dissipates, fire does not destroy, compressed time, and molecular biology. Every statement carries its status; a figure that did not check out is not copied.

What the ARC corpus says about life, from a thesis set out in May 2026: identity, life and consciousness are not three phenomena to be linked by a theory of emergence, but three names of a single operation seen from three disciplines. A living being is an active closure that reads and rewrites itself; a stone carries the same code but does not read it. The volume covers the combination of partial consciousnesses by subtraction, love and saudade, the star of life and the three rotors of the body, medicine as an open field, evolution reread, death as a linguistic fiction, the navel and the scar. It gives no medical advice: readings of the body and of illness are Readings of a declared open field, and any health question belongs to a physician.

Six pieces of the ARC corpus devoted to the mind, gathered into one book. A single operation, differentiation, yields three regimes: completed, it is consciousness; carried forward without being redone, it is automatism; suspended, it is the unconscious. From this the volume draws a reading of panic attacks ("a grief whose address has been erased") and of shame, then of grief as loss of hope, and of native consciousness, walking and empathy. It also rereads EMDR: pain accumulated through similar wounds grows while the memory does not, and the mind enlarges the memory to the height of the suffering; the therapy does not shrink the memory, it restores its size. The propositions are structural and come with predictions that could refute them. The corpus contests no diagnosis and recommends no treatment: these readings replace no care, and organic causes of panic attacks are first a matter for medical examination.

What the ARC corpus says about common life and meaning. One thesis runs through the volume: what identifies a being is not a substance it would contain but the position it holds in a fabric of relations; cutting the relation in the name of identity does not protect identity, it erases the address. The volume tests this on a seven-century historical record (Jacobin France, the Anglo-Portuguese alliance, colonisation and decolonisation, Quebec historiography, secularism), then draws a political philosophy from it: the two politics and La Boétie's knot, democracy, left and right, the stone and the bomb, heritage and culture. It closes with confession, the inversion of the gaze, indifference and empathy, saudade, the law of the trunk and the right signal.