Advancing the unification of probability, curvature, and quantum emergence through Entanglement Compression Theory (ECT).
Committed to open access to knowledge – not centralized ownership.
Compression Theory Institute
Current research state
Entanglement Compression Theory is now organized as a staged reconstruction program linking boundary-derived probability, finite recurrent stability, compression geometry, numerical structure formation, and deterministic quantum-gravity extensions.
The latest work separates two foundation problems that were previously intertwined: how probability can arise inside a deterministic description, and how closed recurrent systems preserve recoverable identity without external clocks, labels, or observers.
Latest updates
New paper
Stability, Boundary Observability, and Emergent Probability
Derives probability as boundary-normalized scalar weight under admissibility, scalar closure, refinement additivity, measure realization, and normalization.
New paper
Finite Recurrent Stability and the Pre-Spacetime Structure of Horizons
Defines recoverable identity, collapse, emergence, external-access failure, and cycle-index indistinguishability as structural boundary conditions in closed recurrent systems.
AIPR
AI Physics Review launched
AIPR provides structured mechanical triage and audit for theoretical physics manuscripts using independent model runs and transparent aggregation.
Simulation
Deterministic structure formation
PWE simulations show compression-supported halo formation and singularity localization without external potentials, stochastic terms, or imposed symmetry.
Research tracks
Probability and boundary observability
Probability is treated as an emergent boundary measure, not as a primitive postulate or unconstrained bulk energy division.
Recurrence, stability, and horizons
Closed systems are analyzed through recoverable identity, finite recurrent stability, collapse, emergence, and boundary-readable structure.
Compression geometry
Compression is modeled through amplitude-derived scalar and tensor structures that induce effective metric response and curvature diagnostics.
Numerical structure formation
Public simulation datasets test whether deterministic compression dynamics can generate stable halos, localization, and galaxy-scale structure.
What is Entanglement Compression Theory?
Entanglement Compression Theory is a deterministic framework for studying how observable structure, probability, curvature, and spacetime-scale organization may arise from compression-governed wave dynamics.
The current ECT program is not presented as one overloaded proof. It is organized into separate layers: probability and boundary observability, recurrence and recoverability, compression geometry, deterministic quantum gravity, and numerical structure formation.
Publication index
This index is organized by role in the ECT reconstruction program. Individual paper pages provide abstracts, technical summaries, DOI links, and downloads.
Foundations
Mathematical and geometric formalism
Bridge papers and technical notes
Numerical simulations and public datasets
Under the Primordial Wave Equation with the ECT compression field, perturbed initial conditions evolve into stable compression-supported structures. The published datasets include scripts, figures, snapshots, and reproduction guides.
Deterministic structure formation under the Primordial Wave Equation. No external potentials, stochastic terms, or symmetry constraints are imposed.
Stage-1: Halo and singularity formation | Stage-2: Singularity to galaxy formation
Open access archive
Zenodo community
Canonical public archive for CTI and ECT papers, datasets, figures, and reproduction materials.
OSF project
Project-level archive and continuity hub for public research materials.
Author profiles
Research profiles and indexing pages for William Andrew Lawrence.