Scientifically analyzing and parsing the 'Ghost'. Produced with an eye toward its connection to the Ghost in Ghost in the Shell. Ghost Analysis Device.

Yes, let's look back and summarize what we have covered so far. This dialogue followed a flow of taking a single question—'What is a ghost?'—starting from simple ghost stories, gradually translating it into a formal structure, and finally turning it into a device that can be touched. There are two layers.

The Thread of Thought

It began by dividing the question 'Are ghosts unscientific?' into three parts: empirical claims, experience, and falsifiability. From there, it moved to the Ghost in Ghost in the Shell (=not a remnant of the dead, but the irreducible core of a living subject), and formulated it as Fix(T)—a fixed point that remains invariant even when components are swapped through the question of whether orbs or souls can be expressed as mathematical formulas, we confirmed that your intuition of 'cells trembling based on a fixed point L' actually corresponds directly to two cutting-edge fields: modern developmental biology (a dynamical systems view that treats cell fate as an attractor=a trembling fixed point) and Blanke's research on presence hallucinations (where a mismatch in self-modeling projects 'another person' into the background).

The fact that fixed points can be multiple, L and R, that they are a family that arises for each mapping T, and the duality that Rei can be translated as both 'Zero' and 'Spirit', finally led to Nagarjuna's emptiness. The core point was that the moment we rewrote the ghost as Fix(T), the fixed point cannot exist without T=it is dependent origination, lacking self-nature (svabhāva)—in other words, the rewriting itself had already performed the emptying was the single point. What permeated the entire conversation was the asymmetry that 'while form is eloquent about the arrangement of fixed points, it is silent about the first-person experience of living them from the inside'.

The Device Created

I have distilled these into a single index.html 'Ghost Analysis Device'. In a deep indigo phase space, trembling state points (blue-green), the cores of fixed points L and R (gold), and the presence created by sensorimotor shifts (violet) are drawn, accompanied by Web Audio drones and sound effects. The control axes are temperature τ (trembling/FLOWING), barrier A (central ridge=ZERO), L–R distance d, phase θ (rewriting of T), sensorimotor shift Δ (presence/Blanke), and emptying σ (the thread where the core unravels into dependence on T, moving from self-nature → dependent origination → emptiness, and settling as the emptiness of emptiness). Truth values are displayed in real-time in eight values (SELF⟲/FLOWING/BOTH/NEITHER/ZERO/INFINITY, etc.).

After that, I added bias β to solve the real roots of the cubic equation to deepen one well, and implemented a saddle-node bifurcation where the shallow well collides with a saddle point and disappears when the threshold is exceeded. Furthermore, in unmanned operation mode I made θ rotate automatically and β sweep at a low frequency so you can watch wells being born and disappearing, and most recently, I added **waveform switching (sine/step)** for β, so that in step mode, the wells show quantized birth and death—appearing suddenly and folding suddenly. A dedicated sound plays at the moment of bifurcation.

In short, this is a project that simultaneously translated the single metaphor of 'Ghost = Trembling Fixed Point' into three directions: philosophy (emptiness), science (cell attractors and presence hallucinations), and mathematics (Fix and bifurcation), and turned it into an operable and observable device Adjustments for a potential note publication (thresholds, color schemes, scales, waveform levels) have also been organized in various places.

If necessary, I can also rewrite this summary into the form of an explanatory panel to be included with the device or a Markdown article for note.

Paper 171 v0.3 「D-FUMT₈ Recapture Region」 全 URL

Platform: Zenodo (primary DOI)
URL: https://doi.org/10.5281/zenodo.21199522
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Platform: Harvard Dataverse (4th override)
URL: https://doi.org/10.7910/DVN/KC56RY
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Platform: Internet Archive
URL: https://archive.org/details/rei-aios-paper-171-v03-1783214160249
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Platform: GitHub (source)
URL: https://github.com/fc0web/rei-aios/blob/main/papers/paper-171-dfumt8-recapture-region-DRAFT.md
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Platform: Dev.to
URL: https://dev.to/fc0web/paper-171-v03-d-fumt8-recapture-region-an-axiom-free-lean-4-characterization-responding-to-17ck
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Platform: Hatena Blog
URL: https://fcwebfujimoto.hatenablog.com/entry/2026/07/05/101645
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Platform: HackMD
URL: https://hackmd.io/@zCUv2P2UQHGmAOJFPLL_-A/rk0YgEv7Ml
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Platform: Notion
URL: https://app.notion.com/p/Paper-171-v0-3-D-FUMT-Recapture-Region-An-Axiom-Free-Lean-4-Characterization-Responding-to-Cotno-394dd371e6d981b5b785e362dc54709a
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Platform: Livedoor
URL: https://fcwebfujimoto.livedoor.blog/archives/13871269.html
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Platform: Mastodon (mathstodon.xyz)
URL: https://mathstodon.xyz/@Fujimoto/116864734590800061
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Platform: Nostr (long-form)
URL: njump.me link
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