Jérôme Beau

The Cosmochrony Research Programme: A Structural Roadmap and Paper Inventory

The Cosmochrony programme develops a pre-geometric framework in which physical structure — spacetime, quantum mechanics, gauge symmetry, and Standard Model observables — arises from a single primitive: the local structure of admissible non-injective transitions between observable...

The Cosmochrony Research Programme: A Structural Roadmap and Paper Inventory

The Cosmochrony programme develops a pre-geometric framework in which physical structure — spacetime, quantum mechanics, gauge symmetry, and Standard Model observables — arises from a single primitive: the local structure of admissible non-injective transitions between observable...

Toward Projected Yukawa Couplings: A Conditional Weak Determinant Line and Generation-Level Ordering

This note opens the mass-sector frontier of the fermionic-matter sub-programme of Cosmochrony. It derives no mass, Yukawa coupling, or mixing. It records two statements, each with the hypothesis it needs. First, algebra proved on supplied model data: on a rank-two bundle with str...

The Fermionic Matter Sub-Programme

The fermionic matter sub-programme of the Cosmochrony corpus asks where fermions, chirality, hypercharge, and three generations could come from in the admissible Weil fibre. The answer is layered, and each layer names what it needs. On a supplied Heisenberg carrier, given a real...

Projected Yukawa Operator and Chiral Polar Factor

The companion line note types the Yukawa line as L_Y = ∧²(E_weak) under [H-Weak] of Q14 ([H-Spin] for the fermion sectors) and reads levels on the model operator of ℂ³_gen. Four premises, supplied by no source: [H-Res], the model operator is E_Π² restricted to ℂ³_gen; [H-Sq], H_Π...

Toward Projected Yukawa Couplings: A Conditional Weak Determinant Line and Generation-Level Ordering

This note opens the mass-sector frontier of the fermionic-matter sub-programme of Cosmochrony. It derives no mass, Yukawa coupling, or mixing. It records two statements, each with the hypothesis it needs. First, algebra proved on supplied model data: on a rank-two bundle with str...

Projected Yukawa Operator and Chiral Polar Factor

The companion line note types the Yukawa line as L_Y = ∧²(E_weak) under [H-Weak] of Q14 ([H-Spin] for the fermion sectors) and reads levels on the model operator of ℂ³_gen. Four premises, supplied by no source: [H-Res], the model operator is E_Π² restricted to ℂ³_gen; [H-Sq], H_Π...

Toward Fermionic Matter from Projective Dirac Admissibility: Chirality and Electroweak Structure Rest on a Lorentzian Spin Solder and a Distinct Weak Factor

The gauge–gravity synthesis of the Cosmochrony programme reads gravity and Yang–Mills dynamics, conditionally, as the $a_2$ and $a_4$ Seeley–DeWitt responses of one admissible spectral functional. This paper asks what the fermionic sector requires when fermions are sought in the...

Toward Coefficient Isotropy from Character Uniformity: A Stability Lemma and Its Missing Geometric Inputs

An isotropic spatial geometry reconstructed from the admissible fibre of the Cosmochrony programme would need the horizontal and central coefficients of a positive three-dimensional spatial form to agree, and would need their common value. This paper isolates what uniformity of t...

Toward a Full-Rank Effective Metric: No Central Coefficient from the Heisenberg Commutator, and Scale-Free Casimir Rigidity

The effective operator of Q5b, conditional on its spatial limit and lifting hypotheses, has a spatial principal symbol of rank two with an empty central slot; completing it to a four-dimensional Lorentzian co-metric requires a positive coefficient $A_Z$ of $k_Z^2$ (open problem Q...

Toward a Full-Rank Effective Metric: No Central Coefficient from the Heisenberg Commutator, and Scale-Free Casimir Rigidity

The effective operator of Q5b, conditional on its spatial limit and lifting hypotheses, has a spatial principal symbol of rank two with an empty central slot; completing it to a four-dimensional Lorentzian co-metric requires a positive coefficient $A_Z$ of $k_Z^2$ (open problem Q...

The Cosmochrony Research Programme: A Structural Roadmap and Paper Inventory

The Cosmochrony programme develops a pre-geometric framework in which physical structure — spacetime, quantum mechanics, gauge symmetry, and Standard Model observables — arises from a single primitive: the local structure of admissible non-injective transitions between observable...

Toward Three Spatial Directions from a Supplied Spinor Carrier: Requirements for an Equivariant Bridge

Two sub-programmes of the Cosmochrony framework produce the integer three as a structural output, and this paper states what an equivariant bridge between them would require. On the geometric side, paper Q5b derives an effective Lorentzian co-metric on $\mathbb{R}_\tau \times {\m...

The Constrained Jet of the Lorentzian Eliminated Block and the Chiral Defect-Rate Identity: A Moving-Schur Existence Theorem for the Generation Split

This note isolates an operator-level lemma in the fermionic-matter sub-programme of Cosmochrony, logically between the Schur reduction of the projective residue and the physical identification of the chiral generator. The Schur reduction writes the projective endomorphism as ${E_...

The Constrained Jet of the Lorentzian Eliminated Block and the Chiral Defect-Rate Identity: A Moving-Schur Existence Theorem for the Generation Split

This note isolates an operator-level lemma in the fermionic-matter sub-programme of Cosmochrony, logically between the Schur reduction of the projective residue and the physical identification of the chiral generator. The Schur reduction writes the projective endomorphism as ${E_...

The Spectral Admissibility Sub-Programme

The spectral admissibility sub-programme of the Cosmochrony corpus addresses a single central question: which sectors of a supplied finite Heisenberg carrier and its associated Weil action survive the Born–Infeld bounded-flux constraint? The investigation organises the entire O-s...

BFS Shell Stratification and the Emergence of Four-Dimensional Lorentzian Geometry

Earlier versions of the companion paper Q5a claimed, conditionally, that the admissibility forms ${\mathcal{E}_q}$ on the Heisenberg carrier of ${\mathrm{Heis}_3(\mathbb{Z}/q\mathbb{Z})}$ converge in the Mosco sense to a second-order operator ${L_\Pi} = -A\partial_x^2$ on $L^2(\m...

Yang–Mills Dynamics from Projective Spectral Entropy: Vertical Heat-Kernel Variation on the Admissible Fibre

The companion Gravity paper showed that the horizontal variation of the projective spectral entropy functional $S_\Pi[g] = \tfrac{1}{2}\log\det' A_g$ with respect to the base metric produces the Einstein tensor as the infrared-dominant response, through the Seeley–DeWitt coeffici...

The Fermionic Matter Sub-Programme

The fermionic matter sub-programme of the Cosmochrony corpus addresses a single central question: where do fermions, chirality, hypercharge, and three generations come from? The answer is stratified and conditional. They need not be postulated as external fields: they arise as th...

The Cosmochrony Research Programme: A Structural Roadmap and Paper Inventory

The Cosmochrony programme develops a pre-geometric framework in which physical structure — spacetime, quantum mechanics, gauge symmetry, and Standard Model observables — arises from a single primitive: the local structure of admissible non-injective transitions between observable...