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For a reader encountering MEG for the first time, three papers provide the essential architecture:
The Vacuum Entanglement Kernel as the Common Origin of Physical Law — The consolidation paper. Synthesises the programme's results from ~55 papers into a single reference with the kernel-first architecture. Five channels, five lock equations, four axioms.
Scalar Modular Coarse-Graining and the Noiseless 8_s Fibre — Derives gauge invariance from the scalar character of the kernel-to-spacetime projection. Establishes the Spin(8) structure group through Schur's lemma and the noiseless-subsystem condition.
The Colour-Sector Mass Gap from the Vacuum Entanglement Kernel — Predicts the colour tunnelling scale (α₃ = 0.324, instanton size ρ_c = 0.10–0.16 fm, factor 2–3 from instanton phenomenology) and derives the topological charge (Q = 1 from the adjoint hedgehog, verified to machine precision). The programme's most recent paper.
Papers by Topic
Foundations and Architecture
The Four Axioms as Four Operations on the Kernel
doi:19728142
Information Geometry: From Vacuum Information Geometry to All SM Parameters
doi:19962937
The Projection Theorem: Interference, Thermality, Screening, and Measurement
doi:20517438
Gauge Fields and the Standard Model
Gauge Fields and the DHR Construction from the Axioms
doi:19635025
The Born Rule from DHR Superselection
doi:19646082
The Dirac Equation from DHR Superselection
doi:19641640
QED from the Four Axioms
doi:19642698
SO(8) Vacuum Selection (Ten-Link Chain)
doi:19732908
EWSB from the SO(8)/G_SM Coset
doi:19953322
Fermion Masses and Mixing
CKM Matrix from the Information-Geometric Structure
doi:19980020
PMNS Matrix: Zero-Parameter Prediction
doi:20561287
Higgs Mass from Fisher Graph Refinement
doi:20569815
Gravity and Cosmology
The Gravity Paper (Acceleration Law and Rotation Curves)
doi:19322945
Black Hole Thermodynamics and Interior Structure
doi:20120233
Deriving the MEG Coherence Scale (de Sitter ℓ₀)
doi:20573964
Newton's Constant from Z₃ Tunnelling
doi:20574572
Structure Formation: Enhanced Poisson Equation
doi:20075895
Mass Gap and Confinement
The Colour-Sector Mass Gap from the Vacuum Entanglement Kernel
doi:21141898
Yang–Mills Existence and Mass Gap (Submitted to Foundations of Physics)
doi:20094429
Quantum Mechanics Foundations
Quantisation from Symplectic Integrality
doi:20038982
Spin as the Representation-Theoretic Shadow of Topological Character
doi:20043631
The Base Coupling α₁ = 1/10 from the Kernel Fixed Point
doi:20038827
Connections to Other Frameworks
MEG–String Theory: UV Completion as Z₃ Heterotic E₈ Orbifold
doi:20598708
Archimedean and Hecke Structure in the MEG Modular Flow
doi:21189431
The Dirichlet Sectors of the MEG Vacuum: the Parity Law, the Cyclotomic Closure Q(ζ₁₂), and the Tate Form of the Vacuum Zeta Integral
doi:21210978
The Bose–Einstein Truncation of the Dirichlet Series
doi:21234478
Threshold Enhancements at the Zeta Zeros in a Dilate-Frame Distance Diagnostic
doi:21257494
Absorption Dips, Rate Dichotomy, and the Principal-Sector Boundary of the Bose–Einstein Truncation across the Level-12 Dirichlet Family
doi:21257742
The Level-3 Transfer Operator and the Weighted Dilate Frame
doi:21250172
The Adelic Architecture of the Vacuum Kernel: How MEG's Physical Content Localises at the Ramified Primes
doi:21255791
The Origin of Prime Arithmetic and a Physical Interpretation of the Riemann Hypothesis in Modular Entropic Gravity
doi:21269667
The Riemann Hypothesis as a Symmetry Requirement of the Physical Vacuum
doi:21285829
Gravity from the Pole, Quantum Mechanics from the Zeros, Gauge Fields from the Euler Bulk: The Spectral Dictionary of the Five-Channel Vacuum Projection
doi:21322310
Zeros as Projection Deficit: Blind Recovery of the Riemann Zero Spectrum in the Fisher Information of a Finite-Resolution Observer of the MEG Vacuum
doi:21321673
The Origin of SO(8) in MEG: from Closure Fixed-Point to the Kernel's Arithmetic
doi:21365638
The Native Origin of SO(8) in MEG: Statistics, Quantisation, and the Two-Bit Charge Centre of the Vacuum
doi:21400967
Essential Properties of a Unified Theory: A Systematic Assessment of Modular Entropic Gravity against the Standard Consistency Requirements
doi:21462652
The Thermodynamic Route to the MEG Field Equation: An Independent Derivation from the Entanglement First Law and the Operational Coupling
doi:21505262
The Distinguishability Kernel as a Common Generator of Physical Structure: The Junction, Calculus, and Simplex of Modular Entropic Gravity
doi:21506307
MEG and Algebraic Quantum Field Theory: A Systematic Account of the Relationship between the MEG Axioms and the Haag–Kastler Framework
doi:21514533
Protected Long-Mode Geometry in Modular Entropic Gravity: Approximate Recoverability, the Environmental Index n = 3, and Operational Normalisation
doi:21529174
The Vacuum as a Code: Geometry and Charge as the Protected Information of the Distinguishability Kernel
doi:21531435
Smooth Memory and Exact Memory: The Two-Sector Ontology of MEG at Work
doi:21552170
A Physical Origin for the Weil Positivity: Independent Recovery of the Riemann Hypothesis Proof Architecture from Vacuum Entanglement (Part I)
doi:21675822
A Physical Origin for the Weil Positivity: A Conditional PLES–Rosati Operator Derivation in Genus One (Part II)
doi:21694244
Full Archive
The complete catalogue of MEG papers is available on Zenodo: