Algebra before AI
Why formal structure, admissibility, and claim authority have to exist before learned inference is allowed to act.
Theme archive
9 current works connected to this question.
This page is a cross-corpus projection: technical papers and notebook pieces remain distinct objects, but can be browsed together when they address the same durable research question.
9 works
Reading the living boundary
A relational account of gradients, exchange, laminarity, reconstruction, and what an instrument can learn from a living surface.
Residue and residual
Two different remainders: what a living boundary retains, and what remains after a model has been tested against a law.
A boundary-observable certification algebra
How mathematical freedom is progressively admitted through physical consistency, closure, witness, and evidentiary maturity.
The making of an observable
How calibration, reconstruction, residual analysis, transport preservation, and claim maturity turn a signal into an observable.
How we try to make the signal fail
Why deliberate deletion, failure tests, and longitudinal challenge belong inside the evidence chain before a relationship is allowed to count.
Regulated Palatini BV Quantization of a Self-Consistent Einstein–Scalar Sector
Quantum-master obstructions, finite Gaussian BV pushforwards, and restricted physical cohomology.
Finite BV regulators support genuine quantum complexes, while Gaussian refinement exposes a first-shell Hamiltonian descent obstruction and canonically leaves a greatest compatible restricted physical complex.
Relational Anatomy of Cell Fate Across Lineage-Resolved Perturbation Experiments
A finite relational calculus for state, identity, history, and fate across biological systems.
Across lineage-resolved perturbation experiments, exact state–fate recovery concentrates near lineage identity while future-selective alignment remains measurable below exactness.
Relational Organization and Directional Stability Across Mouse Organogenesis
Relational comparability, developmental direction, and representation stability across the Mouse Organogenesis Spatiotemporal Transcriptomic Atlas.
A stage-blind spatial-relational carrier reveals recurrence and many-to-many organization; local directional resolution depends on comparison context while the aggregate directional sign persists across the tested representation family.