MQBP V6.10: The Symmetry-to-Projective Compiler and Multiplication-Free Positional Framework

The MQBP V6.10 architecture introduces a machine-checked, symmetry-to-projective compiler that formalizes positional multiplicity and non-associative boundaries for discrete mathematical modeling. By translating integral Lie presentations and continuous symmetries into discrete projective incidence coordinates, the framework maps complex physical topologies directly into a multiplication-free positional expression language. The suite successfully integrates verified compiler entry points for four foundational physical models: the Schrödinger equation, the Dirac equation, the Einstein field equation, and the Bekenstein-Hawking equation. To transition these formal models into verifiable physical execution, V6.10 deploys the synthesizable Discrete Lattice Processing Unit (DLPU). This hardware-native RTL computes positional multiplicity strictly through repeated addition and shift operations, entirely eliminating the need for hardware multipliers in the datapath. Furthermore, non-associative behaviors and zero-divisor boundaries within these physical systems are rigorously quarantined, with the proofs establishing that structural closure is exactly equivalent to a zero multiplicative defect.

As the front-end geometric translation layer, V6.10 is fundamentally architected to pair with the MQBP V6.14 Direct Scalar Framework. The normalized, canonical positional sequences generated by the V6.10 compiler serve as the exact inputs required by V6.14's 1D scalar collapse theorems. This hands-off transition from projective geometry to scalar multiplicity allows V6.14 to apply its certified maximum-gain formulas and deterministic pruning limits, driving physical hardware execution with absolute algebraic command rather than probabilistic sampling.