Andrei Preece

Acyclic CIVP–Index Locking, Molecular Corner Statistics, Entropy–Flux Structure, and Capacity Selection in Trace-Free de Sitter Gravity

This work develops a type-safe statistical and operator-algebraic framework for sector selection in trace-free de Sitter gravity, built around intersecting null boundaries and the quantum characteristic initial-value problem (CIVP). The construction begins with a positive atomic...

The Fermi Non-paradox: Statistical Experiments, Observational Indistinguishability, and SETI Null Results

Statistical Experiments, Observational Indistinguishability, and SETI Null Results reframes the Fermi question not as a cosmic verdict, but as a problem of statistical inference under limited observational power. The central claim is simple but decisive: a SETI null result constr...

Capacity-Fixed Trace-Free Gravity and Non-Perturbative Edge-Partition Boundary Selection

This work reframes the cosmological-constant problem by separating what gravity determines locally from what must be selected globally. The exact trace-free field equation Rμν − ¼Rgμν = 8πG(Tμν − ¼Tgμν) places every constant vacuum-stress shift in the kernel of the source project...

Finite Dilation Algebra of Round Euclidean B⁴/S³. Valuation Profiles: Exact Invariants, Homogeneous Gravity Closure, and Executed Null Tests

What if the homogeneous dark-sector problem could be reduced from an arbitrary function of cosmic scale to a finite algebra of geometrically admissible profiles, with exact invariants that can be tested directly against numerical cosmology? This work develops such a construction...

Homothetic Valuation Spectrum of a Quasilocal B⁴ Filling and an Effective Residual Sector on Compact S³

This work develops a geometric-variational framework for classifying homogeneous residual sectors in a closed FLRW cosmology with spatial carrier Σ ≃ S³. The four-dimensional ball B⁴_A is used exclusively as an auxiliary quasilocal filling and valuation structure, not as a physic...

Finite Dilation Operator Algebra of Homothetic B⁴/S³ Valuations and Homogeneous Closure Tests for Valuation Dark Energy

What happens when a geometric reconstruction is forced to become a finite, testable algebra rather than an arbitrary background fit? This work develops a finite dilation-operator framework for homothetic B⁴/S³ valuations in closed FLRW cosmology. The physical carrier remains the...

Homothetic Valuation Spectrum of a Quasilocal B⁴ Filling and an Effective Residual Sector on Compact S³

This work develops a geometric-variational framework for classifying homogeneous residual sectors in a closed FLRW cosmology with spatial carrier Σ ≃ S³. The four-dimensional ball B⁴_A is used exclusively as an auxiliary quasilocal filling and valuation structure, not as a physic...

Homothetic Valuation Spectrum of a Quasilocal B⁴ Filling and an Effective Residual Sector on Compact S³

This work develops a geometric-variational framework for describing an effective residual sector in a compact cosmology while keeping the physical arena strictly four-dimensional: M = I × S³_A. The four-ball B⁴. A is introduced only as a quasilocal filling, geometric measure, and...