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math.RA2026
Generating pairs in related by an involution
Santiago Pineda Montoya, Johan H. Rúa Muñoz, Borut Jurčič Zlobec
Let be the real octonion division algebra, let , and fix a quaternionic subalgebra . We ask when an elem…
math.QA2026
Operational Foundations for Quaternionic and Octonionic Quantum Models: Exact Quaternionic Channels and Error Correction, Para-Linear Operators, and Categorical Closure Boundaries Beyond Associativity
Santiago Pineda Montoya, Johan H. Rua Munoz
A scalar field alone does not determine a quantum theory: states, effects, processes, symmetries, composition, and discard are equally structural. Realification illustrates this po…