What does this research mean for the field?

The quantum-classical boundary emerges as a discrete, combinatorial classification indexed to information rather than physical scale, derivable from three consistency postulates on observer-indexed information states. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To derive the quantum–classical boundary and core quantum phenomenology from consistency constraints on observer-indexed information states rather than physical scale or operational devices.

August 23, 2026Open Access

The Quantum–Classical Boundary as an Informational Classification: A Derivation from Three Consistency Postulates on Observer-Indexed Information States

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Authors

ABAjax Benander

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Implication

Theoretical derivation demonstrates that the quantum–classical boundary arises from observer-indexed information consistency, suggesting quantum behavior stems from information constraints.

Key Points

To derive the quantum–classical boundary and core quantum phenomenology from consistency constraints on observer-indexed information states rather than physical scale or operational devices.
Formulated three foundational consistency postulates concerning determinacy indexing, informational blanks as superpositions, and a two-generation consistency-pruning rule.
Applied a discrete combinatorial classification and a least-fixed-point characterization without assuming Hilbert space representations or dynamics.
Introduced a path-pair weighting kernel over powersets to evaluate the emergence of standard quantum optical laws and algebraic no-signalling.
Sorted candidate superpositions across arbitrary detector setups into three discrete bins (valid, over-specified, and consistency-pruned), deriving a preferred basis and the linear complementarity relation V + D = 1.
Derived the Malus-law chain for sequential polarizers, the quadratic complementarity circle V² + D² ≤ 1, and full two-tag interferometry statistics containing algebraic no-signalling.

Cite This Study

Ajax Benander (2026) studied this question.

synapsesocial.com/papers/6a8aad417677a3411444562e https://doi.org/10.5281/zenodo.21561151

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Implication

Theoretical derivation demonstrates that the quantum–classical boundary arises from observer-indexed information consistency, suggesting quantum behavior stems from information constraints.

The Quantum–Classical Boundary as an Informational Classification: A Derivation from Three Consistency Postulates on Observer-Indexed Information States

Discussion

Member takes

Implication

Key Points

Cite This Study

The Quantum–Classical Boundary as an Informational Classification: A Derivation from Three Consistency Postulates on Observer-Indexed Information States

Discussion

Member takes

Implication

Key Points

Cite This Study

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