Physical Analysis of Discrete Perceptual Interface Generation on the Envelope Surface

In the envelope surface framework, the envelope surface functions simultaneously as a sensor and a display — it samples the vortex column it inhabits at its own breathing frequency, and then reflects the sampled information outward through the same breathing motion onto the measurement layer. This paper provides a rigorous physical analysis of how this sampling process generates a discrete perceptual interface: the continuous evolution of the vortex column is sliced into discrete perceptual frames by the finite breathing frequency of the envelope surface. We demonstrate that the breathing frequency acts as a Nyquist limit — vortex column dynamics below this frequency are perceived as continuous, localizable, and spatially resolvable; dynamics above this frequency either fall into perceptual blind spots or enter perception as nonlocal entanglement correlations due to undersampling aliasing. We derive the aliasing conditions, spatial resolution limits, and entanglement correlation functions from the sampling physics of the envelope surface. This framework provides a natural explanation for quantum nonlocality — not as a fundamental ontological feature, but as a sampling artifact of the measurement interface. The discrete frame rate of perception, the spatial granularity of the perceived world, and the emergence of quantum entanglement all originate from a single root: the finite breathing frequency of the envelope surface as a sampling sensor.