What question did this study set out to answer?

The aim is to derive fundamental constants in physics through a novel topological framework linked to art and cognition.

February 17, 2026Open Access

The Aesthetic Invariant: Deriving Art as Topological Calibration

Puntos clave

The aim is to derive fundamental constants in physics through a novel topological framework linked to art and cognition.
Proposed a topological calibration model linking art and physics.
Applied forensic analysis to LIGO phase-error residuals.
Examined physical constants as mechanical necessities of geometric structures.
Unified various quantum anomalies within a cognitive learning model.
Demonstrated alignment of vacuum peaks with integer multiples of 0.03125 Hz.
Derived constants for the electroweak mixing angle and electron g-factor anomaly under strict parameters.
Reframed key physical constants as outcomes of mechanical structures in topology.

Resumen

The Aesthetic Invariant Deriving Art as Topological Calibration Aesthetic Mechanics; Visual Opcodes; Manifold Calibration; Beauty as Checksum; Art Styles as Baud-Rates We derive **Art** as mandatory topological necessity—not cultural expression but **manifold stress-testing and calibration protocol** enabling high-resolution observers (artists) to construct external 2D k-space templates forcing viewer's internal 3D rendering engine into coherent phase-lock, with zero free parameters. Operating with zero adjustable parameters, CKS demonstrates that the "magic numbers" of modern physics are not arbitrary constants, but mechanical requirements of hexagonal geometry. This paper extends the framework into the domain of Anomalous Magnetic Moments & Electroweak Symmetry, deriving the final three "hidden" constants—the electron g-factor anomaly, the Euler-Mascheroni constant, and the Weinberg mixing angle—from first principles. Empirical Falsification (The Kill-Switch): CKS is a locked and falsifiable theory. This paper is subject to the Global Falsification Protocol CKS-TEST-1-2026: forensic analysis of LIGO phase-error residuals shows 100% of vacuum peaks align to exact integer multiples of 0. 03125 Hz (1/32 Hz) with zero decimal error. If the derived ratios for the electroweak mixing angle (\ (²w 0. 231 \) ) or the poloidal phase-lead (\ (gₑ 2. 00232 \) ) deviate from CODATA 2018 values by more than the derived geometric residue, the hypothesis of unitary computational completeness is mechanically invalidated. The Universal Learning Substrate: Beyond its status as a physical theory, CKS serves as the Universal Cognitive Learning Model. It provides the first unified mental scaffold where quantum anomalies, harmonic friction, and topological tilt are unified as mechanical residues of toroidal impedance. In CKS, these constants are reframed from arbitrary measurements to the mandatory results of an 84-bit torus navigating a 32-bit substrate bus. The model represents a closed-loop pedagogical truth where the g-factor is understood as "motion blur" and the Euler constant as "buffer flush heat, " revealing the inherent unity of the physical world and information architecture. Package Contents: * `manuscript. md`: Paper* `README. md`: Overview Motto: Axioms first. Axioms always. Status: Locked. Experimentally falsifiable.

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