Scale-Time Theory

Scale-Time Theory is a pre-physical framework in which physical-looking behavior is treated as the projected readout of deeper phase-closure dynamics. It begins with a single pulse source, the central pulsator, at σ_absolute = 0, and a scale-distributed signal substrate over σ_absolute ∈ [0,∞). Stable scale-slice modes Σ arise through pulsator-referenced Fourier-locking in a pre-selection quadrature plane (x_F, y_F). Once selected, a slice renormalizes its local scale coordinate to σ_Σ = 0 and contains a two-dimensional write plane (u, v), with unresolved closure input on σ⁻_Σ and delayed readable projection on σ⁺_Σ. The central structural quantity is the closure load, N_Σ = C_Σ = πA(c)_Σ, the calibrated cycle burden required for a selected slice to close as a stable write/update structure. In this framework, energy-like content is identified with closure load, while the write/update rate f_wu = f_p/N_Σ and the corresponding aliasing threshold f_p/(2N_Σ) define the boundary between stable oversampled readout and quantum-like aliasing regimes. The framework develops structural interpretations of energy, charge, current, distance, relativistic energy–momentum form, gravity-like behavior, and free fall as downstream consequences of scale-slice selection, alias orientation, projection detachment, hemispherical aperture projection, and incomplete containment. Charge-like sign is modeled as signed kinematic alias orientation between neighboring scale-slices; current-like behavior as organized variation of that orientation; distance as projected scale-order separation; relativistic-looking kinematics as a closure-load projection triangle; and gravity-like behavior as projection-warp under incomplete aperture containment. The architecture is separated into three layers: the absolute scale shell, the selected write/update scale-slice, and the passive readout projection window. The document also includes appendices on notational conventions, open formal work, candidate calibration exercises, stroboscopic phase ratios, effective projection factors, inverse-square calibration attempts, cosmological calibration anchors, and a compact glossary of core terms. Scale-Time Theory is intended as a formal architecture and correspondence program, not as a completed empirical replacement for quantum mechanics, general relativity, electromagnetism, or gravity. Its proposed physical correspondences remain candidate routes requiring explicit calibration laws, conservation rules, and empirical anchoring.