Sci - The Dimensional Plane Error: Why Post-Geometric Frameworks Cannot Derive Pre-Geometric Constants Armstrong Knight — intent-tensor-theory.com — 2026 A two-dimensional mathematical framework is internally consistent, provably correct within its domain, and structurally incapable of deriving three-dimensional invariants. We propose that the most persistent unsolved problems in theoretical physics — the cosmological constant problem, the underivability of dimensionless constants, the Yang-Mills mass gap, the quantum measurement problem — share a common structure: they are pre-geometric quantities being approached with post-geometric tools. This is the Dimensional Plane Error. A post-geometric framework assumes spacetime as a pre-given background. A pre-geometric framework asks what conditions must hold for spacetime-like structure to emerge. The two operate in different mathematical planes. Pre-geometric invariants cannot be derived by post-geometric frameworks for the same reason that no two-dimensional equation returns a three-dimensional invariant. Renormalization is identified as the formal procedure for discarding the pre-geometric contribution (the Planck-density CTS intensity) to post-geometric calculations. The cosmological constant problem, the hierarchy problem, the underiviability of the fine-structure constant, the Yang-Mills mass gap, and the measurement problem are cataloged as specific instances of the Dimensional Plane Error. The resolution requires pre-geometric frameworks — not more sophisticated post-geometric ones.
Armstrong Knight (Sun,) studied this question.