Engineering a Chiral 3+3+3 Resonant Quantum Lattice: Modifying the IBM Heron 156-Qubit Processor for Scale-Invariant MHz-to-THz Resonances Inspired by Orchestrated Objective Reduction.

The Orchestrated Objective Reduction (Orch-OR) theory proposes that consciousness arises from quantum computations within neuronal microtubules, orchestrated by objective reductions of spacetime geometry [1,2]. Central to empirical support for Orch-OR are self-similar 3+3+3 (triplet-of-triplets) resonance patterns- hierarchical groupings of three nested triplet bands that persist fractally across kHz, MHz, GHz, and THz scales in microtubules, tubulin, and neurons [2,3,4]. These scale-invariant, polyatomic time-crystal-like structures suggest a topological organization potentially extendable beyond biological limits. Here we present a concrete hardware-level realization by modifying IBM’s Heron r2/r3 156-qubit superconducting processor. The native heavy-hexagonal lattice (degree-3 connectivity via tunable couplers) is reorganized into explicit fractal supercells: 3-qubit triplet cells, 9-qubit triplet-of-triplets supercells, and 27-qubit meta-clusters, tiled across the 156-qubit chip. Chirality is introduced as a topological protector through helical superconducting couplers and asymmetric split-ring geometries with alternating handedness in C₃-symmetric patterns, breaking time-reversal symmetry and enabling non-reciprocal, backscattering-protected edge modes. Thin-film chiral fractal metamaterial resonators (Cayley-tree and triple-band split-ring designs) are integrated on-chip to up-convert GHz transmon excitations into native THz resonances, reproducing the full 3+3+3 hierarchy from MHz collective vibrational modes to GHz computational frequencies and THz holographic-like projections. The resulting hybrid superconducting-quantum-metamaterial architecture generates topologically protected quantum states whose excitation spectrum exhibits self-similar triplet-of-triplets organization across six orders of magnitude. This design leverages Heron’s existing TLS mitigation, modular l-/m-couplers, and 300 mm fabrication, requiring only one additional lithography step. Beyond advancing fault-tolerant quantum computing, the platform offers the first engineered hardware for direct experimental exploration of microtubule-analogous resonances, providing a testable bridge between quantum information science and the quantum biology of consciousness.