What does this research mean for the field?

Relational Logic and Axiomatic Context can be formally expanded into continuous, symmetric tensor spaces over the extended real number line, decoupling foundational logic arrays from discrete bivalent lattice restrictions. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

To expand Relational Logic and Axiomatic Context from discrete bivalent lattices into continuous, high-dimensional tensor spaces over the extended real number line.

September 3, 2026Open Access

The Multi-Dimensional Tensor Framework (nD) of Relational Logic (RL) and Axiomatic Context (AC): Breaking the Bivalent Lattice Boundaries

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Authors

SYSermsak Yingsomsuk

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Implication

Theoretical analysis reveals a continuous tensor framework extending relational logic across the real number line, indicating logical operations decouple from discrete bivalent lattice limits.

Key Points

To expand Relational Logic and Axiomatic Context from discrete bivalent lattices into continuous, high-dimensional tensor spaces over the extended real number line.
Formulated a high-dimensional mathematical expansion of Relational Logic and Axiomatic Context spanning the extended real number line.
Analyzed operational matrices across higher dimensions (nD) to model transitions between logical operations and arithmetic operators.
Proved that the transitional gradient connecting conjunction, disjunction, and arithmetic mean constitutes a seamless non-linear continuum.
Demonstrated that logic arrays decouple from algebraic lattice boundaries to form differentiable tensor fields that preserve physical magnitudes without boundary saturation or semantic explosion.

Cite This Study

Sermsak Yingsomsuk (2026) studied this question.

synapsesocial.com/papers/6a993600636c6408cfa7eb30 https://doi.org/10.5281/zenodo.22218569

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Implication

Theoretical analysis reveals a continuous tensor framework extending relational logic across the real number line, indicating logical operations decouple from discrete bivalent lattice limits.

The Multi-Dimensional Tensor Framework (nD) of Relational Logic (RL) and Axiomatic Context (AC): Breaking the Bivalent Lattice Boundaries

Discussion

Member takes

Implication

Key Points

Cite This Study

The Multi-Dimensional Tensor Framework (nD) of Relational Logic (RL) and Axiomatic Context (AC): Breaking the Bivalent Lattice Boundaries

Discussion

Member takes

Implication

Key Points

Cite This Study

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