Properties of a Voxel

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 The fundamental behavior and nature of voxels in Voxel Theory are characterized by the following properties: 

 • Discrete:  Voxels are distinct, finite units. They possess a fixed minimum and maximum size and cannot be divided into smaller components. 

 • Elastic:  Voxels are capable of deformation under causal tension. They return to an equilibrium state when local stresses dissipate, preserving structural coherence.  

• Tessellating:  Voxels tile space seamlessly in all directions without gaps or overlaps, forming the continuous substrate of physical reality.  

• Geodesic Surface Topology:  Each voxel’s surface minimizes internal tension through geodesic curvature, optimizing causal transmission across boundaries and maintaining field stability.  

• Three-Dimensional Persistence:  Voxels always retain three spatial dimensions, regardless of deformation or local field conditions. They cannot collapse into dimensionless points or lower-dimensional structures.  

• Causally Local:  A voxel’s transitions and deformations are determined solely by its internal saturation and the cumulative tension from adjacent voxels. No action at a distance is permitted. 

• Indivisible and Non-compressible:  Voxels cannot be split into smaller units nor compressed beyond their maximum density limit. Singularities are physically forbidden.  

• Relational Behavior:  A voxel’s state is not isolated; it is shaped by causal pressures, deformations, and boundary interactions with its immediate neighbors.  

• Energy Manifestation:  Energy arises naturally from the resistance, deformation, and recovery processes within and between voxels, requiring no external fields or abstract definitions.  

• Structural Continuity at Scale:  While voxels are discrete at the fundamental level, macroscopic observations of space appear continuous due to statistical averaging across vast numbers of voxels.