The Hallucinatory Roots of Modern Instrumentation: An Analysis of Observation Instruments and AI Hallucination Mechanisms via a Century of Canonical Literature

Modern digital observation systems and avionics telemetry instrumentation have long been granted a scientific sanctity of "absolute objectivity." However, their foundational architectures are collectively captive to the mathematical formatting of a classical, continuous worldview. This review systematically curates 40 canonical, cornerstone literatures spanning a century across optical physics, semiconductor signal engineering, computer vision algorithms, and cognitive neuroscience. It profoundly exposes the "original sin of continuity" injected into modern precision instruments at the factory level and the subsequent systematic castration of physical reality. This review primarily elucidates the evolutionary and collapse mechanisms of this "original sin of continuity" within the dual iron cages of hardware and algorithms: Hardware Formatting of Physics and Signal Flows: From the physical spatial low-pass filtering of Abbe's diffraction limit and the Rayleigh criterion, to the high-frequency purging executed by Nyquist sampling constraints and Butterworth hardware circuitry, modern sensors (e.g., the US military's AN/ASQ-228, AN/APG-79, and commercial aviation's Enhanced Flight Vision Systems) are engineered to actively intercept and evaporate the exceedingly weak, discrete microscopic singularities objectively existing in the universe, forcibly averaging a fractured physical reality into smooth waveforms. Ideological Falsification of Silicon-Based Algorithms: From the noise-melting effects of anisotropic heat diffusion partial differential equations to the topological closure of the Canny edge operator, and further to the texture fabrication found in example-based super-resolution and Generative Adversarial Networks (GANs), ISP and CV algorithms naturally reject any discrete, noisy dead-pixels. Operating on a prior codebase that "worships smoothness," these systems sculpt topologically regular, cleanly bounded "segmented cartoon-like entities" entirely out of thin air. Cognitive Defense Deadlocks of Human Vision: Ultimately, under extreme, low-signal-to-noise ratio (SNR) observation environments, the human brain activates "prior overriding" via predictive processing and topological priority recognition theorems. This seamlessly renders the algorithmic statues displayed on screens into the "perfectly streamlined physical entities" that pilots swear they saw with their own eyes. The airtight logical chain forged by these 40 foundational papers demonstrates that modern digital observation instruments, much like the human brain, possess deep-seated, stubborn, and systemic hallucinations. Crucially, because the "hallucinatory nature" of silicon-based instruments is hardcoded into low-level mathematical formulas and physical limitations, its deceptiveness is far more insidious and unyielding than the physiological biases of the biological eye. However, the ultimate objective of exposing the instrument's original sin of continuity is not to descend into nihilistic deconstruction, but to shatter the cognitive ceiling imposed by humanity's self-castration in the pursuit of smoothness.