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.
The latest work closes the formal ECT route to quantum gravity by showing how Boundary Loss, compression readout, tensor-admissible geometry, and source-to-geometry role structure combine into a deterministic Deterministic Quantum Gravity framework. This establishes the base-layer stability required for the next source-response and Einstein-equation-facing recovery module.
The foundation work also separates two 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
Foundation layer
Boundary Loss, Probability, and Recoverability
The current foundation papers separate pre-numerical probability-status, scalar probability, recoverable identity, recurrence, collapse, emergence, and horizon boundaries.
This layer explains why probability begins with boundary-level loss of guarantee, why numerical probability requires scalarization, and why persistent structure requires recoverable recurrent identity.
Together, these papers define the foundation layer beneath the ECT probability and horizon program.
Mathematical and DQG layer
Mathematical Foundations and Deterministic Quantum Gravity
The mathematical framework establishes the dependency-ordered ECT core through compression dynamics, closed scalar content, boundary erasure, local scalarization, local Born-form recovery, and spacetime-emergence setup.
The DQG page presents the formal ECT route to deterministic quantum gravity through Boundary Loss, compression readout, tensor-admissible geometry, and source-to-geometry role structure.
AIPR
AI Physics Review
AIPR provides structured mechanical triage and audit for theoretical physics manuscripts using independent model runs and transparent aggregation.
Simulation
Deterministic Structure Formation
Public PWE simulations test whether deterministic compression dynamics can generate stable halo, localization, and galaxy-scale structure 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 quantum-gravity framework
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.