Quantum Tenson Theory: Quantization from Structural Incompleteness

In previous work, the Tenson framework was developed from minimal energy–information units to a continuum field description and its limiting behavior. A central result of this program is the emergence of a non-vanishing residual term in the infinite-resolution limit, indicating structural incompleteness of the classical field description. The present paper demonstrates that this incompleteness provides a natural and neces- sary basis for quantization. Rather than introducing quantization as an external postulate, we show that probabilistic state descriptions, operator structures, and uncertainty relations arise as structural responses to the persistence of residual degrees of freedom. Within this framework, quantization is interpreted as a consistent method for encoding irreducible energy–information fluctuations. We formulate the basic elements of Quantum Tenson Theory, including the definition of a minimal energy–information quantum, an associated uncertainty relation, and a Schr¨odinger- type evolution equation. The analysis remains deliberately structural and does not presuppose specific interaction models or experimental realizations. Implications for information thermo- dynamics and temporal irreversibility are briefly outlined.