Scale-Time Theory

Scale-Time Theory: The Geometry of Scale-Space (Version 3.5) presents a theoretical framework in which spacetime, quantum indeterminacy, and gravitation emerge from the discrete readout of a pre-geometric spectral substrate. In this model, a rotating dipole source writes structured content into an outward scale flux until a representational threshold is reached, triggering the ignition of the “Master Sampler,” the minimal discrete architecture required to restore readable output. From that point onward, time is defined operationally by sampling ticks, space by a reconstructed lattice, and observables by inverse Fourier synthesis from discretized spectral bins. The manuscript develops several central claims within this architecture: quantum uncertainty is identified with structural aliasing in a filterless sampling system; the quantum-to-classical transition is governed by a scale-dependent oversampling ratio; gravity and time dilation arise from render-cost–induced scale-upshift; and dark-matter phenomenology is modeled as a two-layer effect combining hidden co-burden from the full bipolar reconstruction cycle with scale-dependent enhancement from scale-clock running. Part 1 presents the conceptual framework, while Part 2 formalizes the definitions, derivations, calibrations, and open completion-layer elements needed to operationalize the theory. This release documents the current Version 3.5 research formulation of STT as a mathematically organized proposal for relating quantum mechanics, spacetime, and gravity within a single reconstructive framework.