Otaviano Lucas Duarte Santos

Frustration, holonomy and projection constants: the sharp cycle gap for vector-valued sheaf cohomology on graphs

We study the gap between frustration and cycle-holonomy bounds for vector-valued translation sheaves on graphs. For a finite graph G and a finite-dimensional normed stalk X, we identify the cycle gap K(G,X) with the X-valued extension constant of the cycle space Z₁(G) ⊂ ℓ₁(E), eq...

Temporal Assembly Theory: Consciousness as Selected History and the Copernican Distribution of Minds

Two research programmes have recently made "life" and "selection" into physical observables without settling what, if anything, they imply about mind. Assembly theory quantifies selection through the assembly index and copy number of objects; the diverse-intelligence programme tr...

Frustration and holonomy in sheaves of qualia structures: quantitative local-to-global principles for phenomenal unity

A recent proposal in the structural approach to consciousness [Lee-Youngzie, Tsuchiya, Robinson, Dietz & Monti, Entropy 28 (2026) 615] models the phenomenal unity of experience sheaf-theoretically: experiential parts form a finite topological space, empirical measures of their qu...