Quantum Physics

    

Geometric Interpretation of Multi-Qubit States on Complex Spacetime-Deformed Bloch Manifolds

Authors: Bhushan Poojary

The Bloch sphere provides an elegant geometric visualization for single-qubit quantum states but fails to scale intuitively to multi-qubit systems. In this paper, we propose a novel framework where Bloch spheres are reinterpreted as dynamic manifolds embedded within complex spacetime. Compression and expansion along the imaginary axis represent curvature due to quantum evolution, enabling a physical geometric model for entanglement and spin. We extend this idea to multiple qubits, where their states correspond to intersecting or entangled deformed manifolds. We also reinterpret the electron’s 720-degree rotation property as traversal of a Möbius-like loop in complex spacetime. This work aims to unify geometric visualization with the formal structure of quantum mechanics through complex geometry.

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[v1] 2025-04-04 22:01:22

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