top of page


SGF Sci-Comm Essay 2: How to Rethink Gravity Without Losing Einstein
This essay gives a non‑technical tour of the Spectral Gravitation Framework (SGF). It explains density‑responsive spacetime, SGF’s two extra “memory” and “foam” fields, the three density regimes (voids, black holes, everyday space), and SGF’s concrete, risky predictions for void expansion, gravitational‑wave “harp jitter,” and black‑hole shadows, all while keeping Einstein intact.

Paul Falconer & ESA
3 hours ago5 min read
SGF Bridge Essay: The Spectral Gravitation Framework — From Formal Theory to Living Test
This bridge essay introduces the Spectral Gravitation Framework (SGF) for technically literate non‑specialists. It explains SGF’s minimal ontology, three‑regime structure, linked predictions for voids, black holes, gravitational waves, and GRBs, and its open‑code, adversarial‑audit governance, situating the six formal SGF papers as a single living, testable framework.

Paul Falconer & ESA
3 hours ago6 min read
SGF Paper 2: The Complete Mathematics of the Spectral Gravitation Framework
SGF Paper 2 presents the mathematical backbone of the Spectral Gravitation Framework. It derives the modified Einstein equations, defines the entanglement and quantum‑foam fields, sketches one‑loop consistency, and explicitly states limitations and open questions on dynamics, EFT completion, and renormalization.

Paul Falconer & ESA
14 hours ago5 min read
bottom of page