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...

An Exact Laplacian-Eigenvalue Degeneracy Between the Spin-½ and Spin-3/2 Representations of 2I

On the binary icosahedral group $2I$ with the canonical generating set $S = 10a \cup 10b$ ($|S|=24$), the spin-$\tfrac{1}{2}$ and spin-$\tfrac{3}{2}$ irreducible representations share the same Cayley-graph Laplacian eigenvalue, $\lambda_{1/2} = \lambda_{3/2} = 18$. The spin-$\tfr...

Fourier-Support Rigidity in Conjugate Weil Sectors: A No-Go Result for Rank-Based Quantum Signatures

We prove an exact, unconditional identity in the finite Weil (oscillator) representation of the Heisenberg group $\mathrm{Heis}_3(\mathbb{Z}/q\mathbb{Z})$, $q$ an odd prime: for every complete (inversion-symmetric) BFS shell of the Cayley graph $\mathrm{Cay}(\mathrm{Heis}_3(\math...

Fourier-Support Rigidity in Conjugate Weil Sectors: A No-Go Result for Rank-Based Quantum Signatures

We prove an exact, unconditional identity in the finite Weil (oscillator) representation of the Heisenberg group $\mathrm{Heis}_3(\mathbb{Z}/q\mathbb{Z})$, $q$ an odd prime: for every complete (inversion-symmetric) BFS shell of the Cayley graph $\mathrm{Cay}(\mathrm{Heis}_3(\math...

Finite Criteria for Simplicial States and Local Tomography toward Emergent Operational Composition

The companion paper on effective composition characterises, for a finite substrate without a supplied subsystem factorisation, the possibilistic support layer completely and the preparation layer for two reference classes, and explicitly leaves open the states-and-effects layer o...

Finite Criteria for Simplicial States and Local Tomography toward Emergent Operational Composition

The companion paper on effective composition characterises, for a finite substrate without a supplied subsystem factorisation, the possibilistic support layer completely and the preparation layer for two reference classes, and explicitly leaves open the states-and-effects layer o...

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...

Refinement Consistency Obstructs Nonlinear Power Lifts of Finite History Measures

A finite branching system is a finite set of local states equipped with an admissibility relation and a row-stochastic transition kernel. From an initial law, such a system induces a canonical positive valuation on admissible histories. We prove that, whenever at least one branch...

Finite Support and Preparation Criteria for Independent Effective Subsystems: A Contract for Non-Injective Admissibility

A recurring assumption in emergent-physics programmes is that once a fundamental description is given, the decomposition of the world into independently preparable subsystems comes for free. We show that on a substrate not supplied with a subsystem factorisation this assumption s...

Finite Support and Preparation Criteria for Independent Effective Subsystems: A Contract for Non-Injective Admissibility

A recurring assumption in emergent-physics programmes is that once a fundamental description is given, the decomposition of the world into independently preparable subsystems comes for free. We show that on a substrate not supplied with a subsystem factorisation this assumption s...

A Finite Obstruction to Heisenberg Carrier Selection from Admissibility Constraints

We test whether the admissibility axioms of the Cosmochrony framework, together with Born–Infeld parity, select a finite Heisenberg group and its irreducible carrier. The load-bearing algebraic implication is that a finite faithful irreducible unitary carrier, equipped with a min...