What does this research mean for the field?

Spatial coordinates and effective dimensionality can be computationally reconstructed from relational physical measurements, demonstrating that coordinates may be treated as an emergent representation rather than primitive inputs. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

Evaluate whether spatial coordinates and effective dimensionality can be computationally reconstructed directly from relational field measurements rather than provided as primitive inputs.

August 29, 2026Open Access

From Relational Field Measurements to Emergent Coordinates: A Computational Proof of Principle for Reconstructing Metric Structure and Dimensionality

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Authors

GKGrain Miller Kostadinov

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Implication

Computational simulation reveals accurate recovery of spatial coordinates and dimensionality in synthetic field models, suggesting coordinates can emerge from relational measurements.

Key Points

Evaluate whether spatial coordinates and effective dimensionality can be computationally reconstructed directly from relational field measurements rather than provided as primitive inputs.
Simulated numerical experiments to infer hidden geometric structures using synthetic field-mediated observables, including light time-of-flight, phase relations, and gravity-like interactions.
Tested coordinate recovery across Euclidean and non-Euclidean systems while simultaneously learning unknown monotonic mappings between field strength and distance.
3D and 4D coordinate systems were successfully recovered with low reconstruction error, with effective dimensionality emerging directly from the relational structures.
Light-based ranging provided the most reliable operational route for geometry recovery, while non-Euclidean configurations produced persistent residuals rather than erroneously collapsing into Euclidean coordinates.

Cite This Study

Grain Miller Kostadinov (2026) studied this question.

synapsesocial.com/papers/6a92995f8e5d7d1fc0c113fb https://doi.org/10.5281/zenodo.22134607

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Implication

Computational simulation reveals accurate recovery of spatial coordinates and dimensionality in synthetic field models, suggesting coordinates can emerge from relational measurements.

From Relational Field Measurements to Emergent Coordinates: A Computational Proof of Principle for Reconstructing Metric Structure and Dimensionality

Discussion

Member takes

Implication

Key Points

Cite This Study

From Relational Field Measurements to Emergent Coordinates: A Computational Proof of Principle for Reconstructing Metric Structure and Dimensionality

Discussion

Member takes

Implication

Key Points

Cite This Study

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