This paper presents two fundamental principles that redefine the nature of reality: electromagnetic phenomena are two-dimensional and follow the Cauchy distribution; and there exists a non-integer variable dimensionality of spaces. Based on these principles, the study proposes a theoretical foundation for understanding massless electromagnetic fields and their interaction with matter. Four specific, cost-effective zones of verification and falsification are presented, all accessible with standard laboratory equipment: (1) a reverse slit experiment examining the shadow from a thin object; (2) optimization of single-mode optical fiber transmission; (3) enhancement of astronomical images through Cauchy kernel processing; and (4) modification of satellite communication systems and antenna designs. The central experimental question investigates whether light propagation follows the Cauchy distribution (compatible with exact two-dimensionality D=2. 0 of massless electromagnetic fields) rather than the traditionally expected sinc² function. The proposed concept of variable dimensionality explains the nature of mass as a dimensional effect arising only when deviating from the critical point D=2. 0, offers a new interpretation of the relationship E=mc², and reveals the deep meaning of time through information asymmetry and synchronization mechanisms. This framework resolves fundamental contradictions in modern physics and has revolutionary implications for quantum mechanics, relativity theory, and cosmology, potentially eliminating the need for concepts such as dark energy and inflationary cosmology. Further mathematical development demonstrates how the timeless Schrödinger equation emerges naturally as an optimization problem in Fourier space for systems with dimensionality D=2-, providing a novel interpretation of quantum phenomena as projections between spaces of different dimensionality. The paper reveals rotation as a universal codec enabling dimensional synchronization through the 2D electromagnetic channel, with Fourier transformation serving as the fundamental mechanism. Mathematical analysis shows the uncertainty principle is merely Cauchy-Schwarz inequality in Fourier space, making /2 a mathematical necessity rather than cosmic mystery. The ultraviolet catastrophe is reinterpreted as a statistical error—applying Gaussian assumptions to inherently Cauchy-distributed cavity modes --- with Planck's quantization emerging naturally from the Fourier --- Cauchy codec rather than requiring metaphysical discreteness. The framework connects to EPI principles, showing Cauchy distributions as informationally optimal at D=2. The theoretical framework receives unprecedented empirical validation through analysis of 300, 000 Hubble Space Telescope stellar observations across 20 sky regions, revealing the unique signature predicted by Principle I: universal convergence to Moffat parameter 1. 5 without detectable dispersion, confirming the squared Cauchy distribution of electromagnetic intensity. Remarkably, anyone can verify these fundamental principles at home using their smartphone photographs and immediately see visible improvement in image quality. Analysis of 3, 000+ quasar spectra reveals frequency-dependent redshift deviations with perfect correlations, fundamentally challenging the Doppler interpretation and universal expansion hypothesis.
Mikhail Liashkov (Wed,) studied this question.