16 dimensions are related to particle parts (4x 90 degree-elbow macaroni) and rotation 4x possibilities over the 3x hinges=12 + 4 =16 dimensions.
Quantum geometry is the set of new mathematical concepts generalizing the concepts of geometry whose understanding is necessary to describe the physical phenomena at very short distance scales (comparable to Planck length). At these distances, quantum mechanics has a profound effect on physics. (Wikipedia quotation)
Sub Quantum Spin and atomic spin.
(Sub Quantum Theory, Sub Quantum Mechanics, Sub quantum Spin, Sub Quantum dimensions)