Abstract This volume presents a comprehensive reexamination of space, geometry, and dimensionality within the ICQER (Informational Constraints Quantum Event Realism) framework. Challenging the classical conception of space as a passive container for physical events, we argue that space is fundamentally an emergent relational structure—a network of informational constraints between events rather than a pre-existing arena. Geometry, in this framework, is reinterpreted as the encoding system through which these constraints achieve consistency and measurability, manifesting as distances, angles, curvature, and metric relations. Dimensionality itself is shown to be not arbitrary but informationally necessary: the 3+1 dimensional structure of our universe emerges as the unique stable solution that balances informational freedom with constraint stability, enabling coherent causality, interaction, and physical law. The volume develops a hierarchical analysis progressing from relational space to geometric encoding, through dimensional necessity, symmetry and embedding, constraint breaking and spatial emergence, curvature as informational tension, quantum geometry, and topological persistence. Each section demonstrates how physical phenomena—from gravitational curvature to quantum entanglement and topological invariants—can be understood as manifestations of underlying constraint networks operating across scales. The ICQER framework integrates insights from general relativity, quantum mechanics, topology, and cosmology into a unified informational ontology, resolving longstanding puzzles about the nature of space and its relationship to matter, energy, and physical law. Key findings include: (1) space is neither absolute nor relative but relational—a derived property of constraint networks; (2) geometry functions as informational compression, encoding maximum relational structure with minimum descriptive rules; (3) 3+1 dimensionality is the optimal constraint resolution, as lower dimensions over-constrain systems while higher dimensions introduce destabilizing freedom; (4) curvature represents informational tension arising from uneven constraint distribution, with gravity reinterpreted as constraint redistribution (Universal Constraint Gravity); (5) quantum geometry is fundamentally discrete, with Planck-scale constraint units forming the granular substrate from which continuous space emerges; (6) topology provides global constraint persistence, ensuring coherence across quantum fluctuations and cosmic evolution; and (7) physical laws emerge as dimensionally-embedded constraint solutions, explaining their apparent fine-tuning. This volume establishes space, geometry, and dimensionality not as fundamental givens but as emergent products of informational self-organization, providing a unified foundation for quantum gravity, cosmology, and the philosophy of physics.
Radhakrishnan Jayaraman (Fri,) studied this question.