Jeff
@jeffgrannis
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Side project: emergent intelligence. Follow the link to the GPT: FPTGPT to understand it all👇
Paris, France
Joined May 2008
An Introduction to Fold Projection Theory (FPT) Fold Projection Theory proposes a radical shift in how we understand emergence, not as the result of interacting particles or fixed space, but as the rhythmic unfolding of coherence within a fundamentally undivided field. In FPT,
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A Continuous-Phase Coherence Functional (a normalized interference-alignment metric, and why it matters)
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Before the Curve: The First Persistent Deviation A minimal cosmology: structure doesn’t begin with laws or time, but with a deviation that refuses to cancel; everything else is downstream.
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Why Mochizuki’s Inter-universal Teichmüller Theory (IUT) Is Basically a Spin-2 Containment System
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When a sphere and torus sample the same multi-phase field, their surfaces reveal the hidden interference geometry of the system. “Fold Projection”-style coherence lock drives the pattern.
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Interference geometry in motion: overlapping radial and angular modes create a self-stabilizing symmetry core with continuously evolving peripheral fold patterns.
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When a 100-line GLSL fragment starts behaving like an emergent toroidal mode-locking system, you know you’re close to the right ontology.
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The shadertoy hosted version is better for understanding the dynamics involved https://t.co/LPM5MONvmp
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A toroidal throat where the geometry stays still but the lattice doesn’t. The 137-fold coherence field slides across the surface like a hidden dimension rotating out of view.
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Coherent structures persist only up to the precision that an irrational scale allows. The critical line is where that precision maxes out. #CoherenceFunctional #CriticalPrecision
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A field drifting from pure waves into structured rotation, then into unstable mode geometry. A simple oscillation discovering its internal structure.
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A three-body dance where everything repels just enough to keep moving.
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A glowing orbit-density map of a drifting 2D nonlinear attractor — rendered as a dynamic point-cloud organism.
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