Quantum Functional–Computational Unification: Reconstructing the Universe from Minimal Transformation Laws

Quantum Functional–Computational Unification (QFC) is presented as a research programme for investigating whether physical laws can be reconstructed from a compact, explicitly specified set of state spaces and transformation rules, together with clearly identified reconstruction conditions, initial data, boundary conditions, and parameters. The manuscript proposes a coverage-first methodology: define target laws and their domains of validity before comparing candidate foundational sets; distinguish axioms from auxiliary assumptions, representation choices, established theorems, calibrated parameters, and open obligations; and test minimality by attempting to remove or weaken assumptions while preserving declared predictions.

The manuscript develops a formal model specification and dependency-audit protocol, and discusses conditional reconstruction routes involving quantum probability and evolution, relativistic propagation, gauge fields, and gravity. It explicitly distinguishes conditional results from demonstrated derivations and open targets. In particular, it does not claim to derive the complete Standard Model and its parameters, the observed cosmological constant, or the laws of chemistry and biology from a completed minimal core. The proposed N=2, D=3 construction depends on additional representation and closure conditions and is not presented as an unconditional derivation of the universe's dimensionality. QFC is therefore presented as a methodological research programme, not as a completed Theory of Everything.