The Question Behind Our Research
Why biology, fluid dynamics, mathematical physics, formal proof, and measurement engineering keep meeting inside one long-running question about a scale-agnostic definition of health.
Theme archive
8 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.
8 works
1 + 1 = 2
A reflection on relational measurement, compression, identity, and what arithmetic hides when relationships carry the information.
The temperament of a bespoke algebra
What repeated behavior under proof reveals about the character of a mathematical object built for measurement.
Master-Action Ownership of a Self-Consistent Einstein–Scalar Quantum Sector
Symmetric-projective BV closure, Palatini descent, and quantum Ward/source exchange.
The completed Einstein–scalar sector is traced upstream to an intrinsic symmetric/projective Palatini BV theory whose classical projection binds back to the same native action, source, and clock.
Relational Quantum Gravity in a Self-Consistent Einstein–Scalar Sector
Independent physical and gravitational quotients, nonlinear Einstein realization, and intrinsic gauge rigidity.
Physical-owner and gravity-visible equivalence relations are globally incomparable, while intrinsic curvature data rigidly recover the source parameter and represented geometry class on the fixed nonlinear family.
Source-Aware Weyl-Reduced Celestial Representation
Joint source-output symmetry and positive-measure obstruction to fixed-source isometry for radiative two-particle Clebsch–Gordan kernels.
Source-aware Weyl reflection admits an exact joint Hilbert reduction, while a positive-measure Gram defect rules out almost-everywhere fixed-source isometric realization of the normalized physical kernel.
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.