Scale-Time Theory

Scale-Time Theory: The Geometry of Scale-Space presents a pre-physical framework in which physical-looking behavior is treated as the projected readout of deeper phase-closure dynamics. The framework begins not with spacetime, matter, fields, or forces, but with a two-dimensional scale-plane carrying four symmetric oriented coordinates, a central phasor, and a radial scale-radius coordinate. Stable systems are modeled as scale-modes: antipodally closed circular phase structures whose diameters span integer numbers of phasor cycles. The theory distinguishes three layers: phase closure, coordinate-level read/write dynamics, and observer-relative projection. Phase closure may occur anywhere on a scale-mode. A read/write event occurs only when phase closure locks to one of the four readout-coordinate rays. Observation enters later through an observer-relative aperture coordinate and a read-only projection window. Within this architecture, spin-like behavior is modeled as read/write-layer aliasing, charge-like behavior as resolvable signed early or late phase closure, photon-like behavior as synchronized multi-mode closure along an aperture ray, gravity-like behavior as readout displacement toward aperture-readable scale-position alignment, and free-fall-like behavior as passive descent along the readout-displacement gradient. The framework also introduces scale-position alignment, kinematic phase-gap, cycle-load, and cycle-weighted phase stress as structural tools for connecting scale-plane geometry with physical-looking regimes. These correspondences are presented as framework-internal analogues and structural bridges, not as completed derivations of physical spin, charge, photons, gravity, mass, or energy. Scale-Time Theory does not claim to replace quantum mechanics, general relativity, electromagnetism, or gravity in its present form. Its narrower aim is to define an internally coherent substrate architecture in which scale, phase, read/write locking, delayed projection, observer-relative time-phase, and physical-looking behavior can be described from a common pre-spacetime structure.