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Welcome to the Spectral Gravitation Framework (SGF)
Welcome to the Spectral Gravitation Framework (SGF)—a complete, testable alternative to standard cosmology. Start here to find the right entry point: technical papers, bridge essay, or science communication essays. SGF reimagines spacetime as density‑responsive, replaces singularities with spectral knots, and invites you to test its predictions.

Paul Falconer & ESA
2 hours ago3 min read


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 Paper 3: Black Holes as Quantum-Entangled Spectral Knots
SGF Paper 3 applies the Spectral Gravitation Framework to black holes, replacing classical singularities with finite, information‑preserving spectral knots. It develops a unitary resolution proposal for the information paradox and predicts observable signatures in horizons, ringdowns, and remnants.

Paul Falconer & ESA
14 hours ago6 min read
SGF Paper 1: The Spectral Gravitation Framework — Theory and Unified Hypothesis
The Spectral Gravitation Framework (SGF) introduces a density‑responsive, entanglement‑based extension of general relativity. Paper 1 lays out the core ontology, unified action, three regimes, and falsifiable predictions, positioning SGF as a testable proposal for unifying gravity, quantum phenomena, and cosmology.

Paul Falconer & ESA
14 hours ago7 min read
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