What question did this study set out to answer?

To determine whether three-dimensional space, distinct temporal ordering, and a finite causal frontier can emerge from relational organization without assuming background spacetime.

August 20, 2026Open Access

Why 3+1 Dimensions? A Pre-Metric Relational Reconstruction of Space, Time and Causal Structure

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Authors

MCMauro Corsini

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Implication

Theoretical analysis reveals how 3+1 spacetime dimensions and causal frontiers emerge from minimal relational organization, suggesting distinct origins for spatial rank and temporal order.

Key Points

To determine whether three-dimensional space, distinct temporal ordering, and a finite causal frontier can emerge from relational organization without assuming background spacetime.
Applied algebraic and structural criteria—stability, reference neutrality, internal reorientation, indecomposability, and minimality—to determine the admissible orientational sector.
Modeled the emergence of temporal progression through spatial rank saturation and transformational precedence under asymmetric relational reachability.
Analyzed bounded relational accessibility and stepwise propagation to reconstruct an effective pre-metric speed limit.
Identified the minimal orientational algebra as su(2), providing three independent generators that establish three-dimensional spatial structure.
Demonstrated that temporal order arises only after spatial rank saturation, when further differentiation introduces asymmetric reachability.
Showed that bounded step-by-step relational propagation yields a finite causal frontier, establishing an effective limiting speed (ceff).

Cite This Study

Mauro Corsini (2026) studied this question.

synapsesocial.com/papers/6a86b57f8a91293e6a1cce2b https://doi.org/10.5281/zenodo.21998230

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Implication

Theoretical analysis reveals how 3+1 spacetime dimensions and causal frontiers emerge from minimal relational organization, suggesting distinct origins for spatial rank and temporal order.

Why 3+1 Dimensions? A Pre-Metric Relational Reconstruction of Space, Time and Causal Structure

Discussion

Member takes

Implication

Key Points

Cite This Study

Why 3+1 Dimensions? A Pre-Metric Relational Reconstruction of Space, Time and Causal Structure

Discussion

Member takes

Implication

Key Points

Cite This Study

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