On the Missed Structures Beyond the Real Line

Version 3: This version clarifies the distinction between sectorial collapse and the continuous auxiliary orientation index, while preserving the original preprint’s central thesis and role within the MGQC research program. It also refines the treatment of quasi-oriented states, quasi-zero, quasi-positive and quasi-negative tendencies, and the structural interpretation of absolute value. Abstract The real line provides a complete and internally consistent representation of magnitude under linear order; however, this completeness may be achieved through a strong structural restriction. Under the interpretive framework adopted here, the real line may be read as preserving only two extreme orientational outcomes,…