What does this research mean for the field?

Locality, geometry, and a universal causal structure can emerge from a pregeometric system without an assumed manifold or causal order, provided the kinetic-normalised spatial form becomes scalar on the massless subspace. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

To determine how locality, geometry, and a universal causal structure can emerge as effective continuum properties from an underlying relational system devoid of a pre-existing manifold, metric, or causal order.

September 8, 2026Open Access

Pregeometric Relational Dynamics and Universal Causal Structure: Spectral Constraints, Response Limits, Universal Null Calibration and Functional Consistency of Light

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To determine how locality, geometry, and a universal causal structure can emerge as effective continuum properties from an underlying relational system devoid of a pre-existing manifold, metric, or causal order.
Formulated a basis-independent spectral framework to evaluate conditions under which distinct massless collective modes share identical propagation cones across network operators.
Derived controlled response limits to assess how finite microscopic unitary systems with nonvanishing response tails converge toward continuum field theories with exact microcausality.
Analyzed functional closure and stress-energy constraints within an effective Maxwell sector linking phase, energy flux, momentum transport, and radiation pressure.
Demonstrated that multiple massless branches share a universal leading causal cone if and only if the kinetic-normalized spatial form becomes scalar on the massless subspace (D₀₀ = v²Iᵣ).
Showed that microscopic unitary systems with analytic nonvanishing response tails outside the cone recover exact microcausality and causal commutator support in the continuum limit.
Derived operational radiation-pressure closure relations matching optical propagation to mechanical momentum transfer without postulating a fixed numerical value for the speed of light.

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Implication

Theoretical analysis demonstrates emergent universal causal cones in pregeometric relational systems, indicating that invariant light propagation reflects spectral constraints.

Cite This Study

Preece et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd7e758e84d0ff5b46f60 https://doi.org/10.5281/zenodo.22644565

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Implication

Theoretical analysis demonstrates emergent universal causal cones in pregeometric relational systems, indicating that invariant light propagation reflects spectral constraints.

Pregeometric Relational Dynamics and Universal Causal Structure: Spectral Constraints, Response Limits, Universal Null Calibration and Functional Consistency of Light

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Discussion

Implication

Cite This Study

Pregeometric Relational Dynamics and Universal Causal Structure: Spectral Constraints, Response Limits, Universal Null Calibration and Functional Consistency of Light

Key Points

Discussion

Implication

Cite This Study

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