Golden Physics Project · Research Log
Ideas Under Pressure.
Notes on the Shadow Framework, formal verification, celestial holography, spectral theory, quantum gravity, number theory and the parts of the program that still refuse to yield.
August 2026 · Formalization Updates
Current state of GPPVerify2
Updated
Machine-Checked: The Shadow Framework in Lean 4
The canonical verification page, rewritten to distinguish proved theorems, conditional reductions and deliberately parked open mathematics.
Open status page → NewShadow Under the Kernel: What Lean Has Actually Proved
The strongest certified results, the false routes formalization killed, and the exact analytic boundary that still separates the RH program from a proof.
Read update → NewBeyond RH: Formalizing Shadow from Gr(2,4) Up
The next phase: build the Grassmannian, atlas, bundles, group actions, measures and representation theory deeply enough to retire downstream stubs honestly.
Read strategy →Follow the proof tree live
GPPVerify2 is public. The blueprint, source, CI history and formalization plan can all be inspected directly.
Apps & Interactive Tools
Software from Golden Physics Project
AurorumLocal music. Free forever, no tracking.
API VaultOne encrypted keyring for every app.
AigorumMany minds. One conversation.
Aigorum ForgeThe seat that can check: code, proofs and sources.
Explore the App HubCurrent releases, downloads, privacy pages and product details.
Celestial Holography in Plain LanguageA local introduction to the research behind the project.
Research Archive
Earlier technical notes · preserved as a development record
The Wightman Axioms Are Theorems, Not Postulates
CPT Symmetry from the T-Boundary
Penrose’s Googly Problem
The BSD Conjecture Through the Shadow Framework
The Yang–Mills Mass Gap
The Riemann Hypothesis as a Quantum Mechanics Problem
Why Three? Fermion Generations
The Fixed-Point Paradox
The Cosmic Dipole Anomaly
Haar Spectral Duality
Resolving the Googly Problem
Zitterbewegung and the Shadow Sector
Loop Amplitudes Without Feynman Diagrams
Dark Energy and Conformal Self-Lensing
The Wightman Axioms and Haar Measure
Why String Theory Works
Three Spectral Routes to RH
The Critical Line in the Sky
Decoding Reality
357 Independent Numerical Tests
The Division Algebra Tower
Quantum Gravity: Celestial Construction
Birch–Swinnerton-Dyer and s = 1
Holding the Line: Haar Measure and Re(s)=1/2
w-Infinity Algebra and Loop-Level Holography
From Scattering Amplitudes to Celestial Correlators
Shadow Transforms and Celestial CFT
The Infrared Structure of Quantum Gravity
Gravitational Memory and BMS Symmetry
BMS Symmetry of Flat Spacetime
Unitarity, Spectral Theory and the Critical Line
Adelic Number Theory and the Zeta Function
How Physics Might Solve RH
Celestial Holography and the Riemann Hypothesis