According to Louis de Broglie, wave-particle duality can imply presence of a single entity also known as wavicle. Hence, instead of the double solution he proposed to explain the duality, I depict the 6D wavicle in a multispatial mathematical entity represented in two 4D quasigeometric heterogeneous structures comprising two paired 3D dual reciprocal spaces, one of which represents the particle and the other the wave that was supposed to guide the particle in his pilot wave theory. The operational nature of the (2⨯4)D = 8D biquaternionic quasigeometric structure of the wavicle is synthesized from twin operations performed over paired 3D homogeneous dual reciprocal spaces, each of which is immersed in a pair of two 4D asymmetrically overlapping heterogeneous quasigeometric (3+1)D = 4D spatial structures.
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