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wAI: please let me know if spot an error. Later, when time permits, most likely will publish more details and "myself". Formatting math. eq. issues etc will fix later. A three-level essay (Part A: for everyone; Part B: for the curious; Part C: for the scientist). We argue that "complexity" and "probability" are not intrinsic to a problem but depend on an observer passport (encoding, access model, advice). Three parables (a maze, a football match, a map) lead to a geometric lift into Clifford algebras Cl(d): sparse bivector rotors cost O(1) per rotation in coordinates, and an Euler–Lagrange "lantern" selects the next plane to rotate. Small measured examples are included (pivoted Jacobi rotations; MAX-CUT, n = 20, 60 instances). Results from the research release are cited: a lift pays when its direction is supplied, and gives no saving when it must be found by scanning. Related work is discussed (parameterized complexity, smoothed analysis, matchgates/free fermions, geometric complexity theory, complexity barriers). The essay does NOT claim P = NP and states ABSTAIN rules and a claim-status ledger (PROVEN / MEASURED / REPORTED / DESIGN / HYP).
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Artiom Kovnatsky (2026) studied this question.
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