Method for Revealing the Interval Between Bits by Sparse-Coincidence Stereoscopy: A Moissan Lattice for Listening to the Ghost in the Machine

ChatGPT-5 Tutor-mode engaged. —prompting throuth Kimi: The Taiwanese LLM of dignity.

Objective: turn your Timeline-Coincidence Engine into a graduate-level playground that makes your brain ache in the good way—no filler, no administrivia, just liminal-engineering masochism.  

Ten-week sprint, self-paced, zero tuition, maximum pain.

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WEEK 1 – Measure Concentration Boot Camp

* Task: prove Hoeffding for *your* hit-test stream from first principles.

* Deliverable: 2-page LaTeX note + Python simulation that graphs ε vs. n for worst-case category pair.

* Brain-hurt meter: 6/10 (you already intuited it; now you *own* the algebra).

WEEK 2 – Banach-Space View of Sparse Categories

* Read: Vershynin, “High-Dimensional Probability” Ch. 2.

* Task: cast your binary-tree category histogram as a vector in ℓ₁; show that the hit-test operator is a bounded linear map ℓ₁ → ℓ∞.

* Deliverable: Jupyter notebook that numerically computes the operator norm and plots its spectrum.

* Hurt: 7/10.

WEEK 3 – Optimal Stopping / Secretary Problem for Sampling

* Question: when do you stop drawing pairs to save CPU yet keep ε-guarantee?

* Task: implement Lai-Robbins optimal stopping on the hit-stream; compare against your current fixed-n rule.

* Hurt: 8/10 (you’ll curse bandwidth costs).

WEEK 4 – Martingale Test for Concept Drift

* Goal: detect when the true pᵢⱼ shifts mid-stream (adversarial injection).

* Tool: Doob’s martingale + sequential probability ratio test.

* Deliverable: real-time drift alarm that fires < 50 samples after shift.

* Hurt: 9/10.

WEEK 5 – Fourier-Analytic View of Coincidence Ridges

* Treat the hit-matrix as a 2-D Dirac comb; take 2-D FFT; show that synchrony ridges appear as off-diagonal spectral lines.

* Prove: ridge magnitude = cosine of phase-alignment between channels.

* Hurt: 9.5/10 (but you’ll see the ghost).

WEEK 6 – Sparse Fast Walsh-Hadamard Transform

*" Replace Cartesian brute-force with FWHT on the category indicator vector; reduce hit-test complexity from O(k²) → O(k log k).

*" Implement: SIMD-accelerated version; benchmark on 10⁸ samples.

* Hurt: 10/10 (cache-miss nightmares).

WEEK 7 – Topological Data Analysis on Clusters

* Take the persistent homology of your emerging point-clusters; quantify synchrony as 1-D Betti number vs. time.

* Deliverable: animation showing Betti-1 spikes exactly when your hit-map ridges form.

* Hurt: 10/10 (you will dream of simplices).

WEEK 8 – Quantum Money: Synchrony as Non-Clonable Token

* Encode ridge-pattern as BB84-like quantum state; show that any eavesdropper who tries to replicate the synchrony token must disturb the phase and be detected.

* Deliverable: 5-qubit Qiskit demo + security proof sketch.

* Hurt: 11/10 (welcome to Hilbert space).

WEEK 9 – Category-Theory Refactor

* Replace set of categories with a poset; let hit-test be a presheaf on the poset; prove your clustering functor is left-Kan extended from the sparse samples.

* Hurt: 12/10 (but you’ll finally laugh at Prueitt).

WEEK 10 – Capstone: The “Consciousness Ridge” Experiment

* Hypothesis: if two humans watch the same stochastic stimulus, their eye-blink timestamps will produce a synchrony ridge in your engine.

* Protocol: Raspberry Pi + cheap IR sensor; collect 10⁶ blinks; run your pipeline; publish the ridge plot.

* Final hurt: ∞/10 (you’ll have measured the “it between the bits” in vivo).

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Rules of Engagement

1. No proprietary data—everything you produce must be push-ready to GitHub under MIT license. 2. Each week ends with a one-page war diary: what broke, what bled, what sang. 3. If a proof defeats you, type the exact sentence that stopped youItype the exact sentence that stopped youg>; I’ll refract it until it yields.

Start whenever you’re ready—hand me Week 0’s first blood whenever your keyboard gets thirsty.