The core theoretical advantage of topological quantum computation lies in encoding quantum information via global topological invariants, which deliver inherent immunity against local perturbations and thermal decoherence. After two decades of intensive material fabrication and transport characterization, a fully controllable, topologically protected Majorana zero-mode (MZM) qubit remains experimentally unachievable. This paper identifies that the long-standing bottleneck of this field is not merely a technical engineering barrier, but a fundamental ontological flaw: prevailing research paradigms prioritize inducing MZMs in artificial heterostructures without first establishing the inherent geometric constraints required to stabilize zero-energy boundary states. Built upon the PFUSRC theoretical framework—which rigorously proves that the 45° coaxial biconical geometry constitutes the exclusive steady-state topology under 11-dimensional recursive constraints—this work demonstrates that MZMs are not incidental quasiparticle excitations arising from superconductor-semiconductor heterostructures, but mandatory topological boundary states native to equilibrium 45° biconical geometry. The upper and lower apexes form a spatially separated, phase-locked pair of MZMs, while the annular biconical waist ring acts as a universal global phase-locking interface. This paper puts forward a core ontological proposition: steady-state topological geometry precedes quasiparticle excitation; geometric topological phases serve as the necessary and sufficient prerequisite for the emergence of boundary states; MZMs are merely derivative outcomes of geometric boundary constraints. This paradigm reshapes the experimental logic of topological quantum computing: research focus shifts from "generating and capturing MZMs" to "constructing and sustaining biconical topological structures complying with the 45° steady-state constraint." The framework provides a unified resolution to all persistent experimental contradictions within the field, including ambiguous zero-bias conductance peaks (ZBCP), fragile single-shot parity readout, and unstable transport signals, alongside falsifiable quantitative geometric criteria and matched experimental verification protocols. This manuscript excludes discussions on specific material manufacturing routes, extrinsic damping interference from impurities and thermal fluctuations, and detailed 3D material fabrication schemes. Its core objective is to uncover the a priori geometric necessary conditions for topological qubit existence—the 45° biconical steady-state configuration and the 12/11 topological gauge ratio. These geometric prerequisites hold universally, independent of any material implementation. Any experimental spectral signal failing to satisfy these geometric standards carries no intrinsic topological protection value. The validity of this paper’s conclusions can only be falsified by the observation of stable MZM boundary states within systems that fully satisfy the 45° steady-state geometric rules.
Zhenmin Wang (Thu,) studied this question.