Surfing the Quantum Wave Function: A Minimum Theory of Experienced Quantum History

A Mathematics-First Interpretation of Quantum Histories and Experienced Reality — Minimum Theory v1.4 Abstract Quantum mechanics predicts experimental outcomes with extraordinary precision, yet foundational disagreement persists regarding what its mathematical formalisms represent beyond themselves. Surfing the Quantum Wave Functioninvestigates a minimalist, structural-realist formulation: that the complete universal quantum mathematical structure is ontologically sufficient to constitute perceived physical reality without postulating auxiliary physical substances, hidden variables, or dynamical collapse mechanisms. Evolved self-aware observer instances, denoted 𝐻𝑖, are modeled as internal relational sub-structures within this invariant mathematical object. At each experiential coordinate, 𝐻𝑖 occupies a condition 𝑃𝑡, relationally indexed as the present reference point 𝑅𝑖(𝑃𝑡). Within an admissible consistent-histories framework ℱ accommodating the relevant macroscopic records, the histories compatible with that reference point form a framework-conditioned subset Γ𝑖,ℱ𝐶(𝑃𝑡), inducing past and future condition bundles 𝐶𝑖,ℱ−(𝑃𝑡) and 𝐶𝑖,ℱ+(𝑃𝑡). “Surfing” designates the observer-relative succession relation among experienced reference structures connected by admissible quantum histories and record continuity; it does not denote the dynamic motion of a consciousness or spotlight across the state space. This framework reframes state-vector reduction, Wheeler’s delayed choice, and Einstein–Podolsky–Rosen (EPR) correlations as relational geometric features of an invariant universal quantum structure rather than dynamical disruptions or superluminal signaling mechanisms. The minimum theory (Tier 1) claims no new empirical predictions, does not resolve the singular-experience problem of identity selection, and does not derive the Born rule ab initio. Instead, it provides an exact structural reconstruction of no-collapse quantum mechanics by formalizing experiential indexicality and history compatib