J Electrical Electron Eng, 2024 Volume 3 | Issue 6 | 1 Theory of the Four-Dimensional Electromagnetic Universe: Derivation of the Energy-Time Uncertainty Principle for Temporal Waves and Their Stability Research Article Domenico Maglione* * Corresponding Author Domenico Maglione, Independent researcher, Italy. Submitted: 2024, Oct 01; Accepted: 2024, Oct 28; Published: 2024, Nov 20 Citation: Maglione, D. (2024). Theory of the Four-Dimensional Electromagnetic Universe: Derivation of the Energy-Time Uncertainty Principle for Temporal Waves and Their Stability. J Electrical Electron Eng, 3(6), 01-03. Abstract In this paper, we derive a specific form of the energy-time uncertainty principle as it applies to Temporal Waves (TWs) in the context of the Four-Dimensional Electromagnetic Universe (4DEU) Theory, providing further evidence of the stability of TWs from the beginning and throughout the four-dimensional (4D) universe's expansion. In this model, the universe is proposed to exist in four real spatial dimensions, with the fourth dimension, which we perceive as time, along which the cause of the 4D universe's expansion acts. TWs play a fundamental role in the formation and expansion of the 4D universe, with this expansion being caused by their radiation pressure. In this work, we derive the specific form of the uncertainty principle for TWs, demonstrating that the product of the uncertainties in the TW energy and privileged time is not merely constrained by a lower bound, as in the canonical uncertainty principle, but is exactly equal to h/4. In contrast to the canonical uncertainty principle, where the product of uncertainties is greater than or equal to h/4π, in the case of TWs this product equals precisely h/4, indicating a unique relationship in the 4DEU theory. Our findings also confirm the stability of TWs from the beginning and throughout every phase of the 4D universe's expansion, ensuring their persistence over time. This paper offers further mathematical evidence supporting the stability of TWs and strengthens the foundational principles of the Theory of the Four-Dimensional Electromagnetic Universe. Independent Researcher, Italy Keywords: Energy-Time Uncertainty Principle, Bohr-Wigner Formulation, Temporal Wave, Theory of the Four-Dimensional Electromagnetic Universe, Privileged Quantities 1. Introduction The investigation of fundamental cosmic principles has recently led to the development of new theoretical models that attempt to address unresolved questions about the universe's structure and evolution. One such model is the Theory of the Four-Dimensional Electromagnetic Universe (4DEU theory), which posits that the universe exists as a four-dimensional hypersphere, with four real spatial dimensions, where the fourth dimension is perceived as time in the three-dimensional (3D) part of the universe in which we live. In this framework, the radius of the 4D universe corresponds to the dimension that we perceive as time [1]. In the 4DEU theory, privileged time and privileged space are defined as time and space measured with respect to a reference system centered on the Big Bang event, which in this theory represents the centre of the 4D universe, thus establishing it as a 'privileged' reference frame [1]. Moreover, privileged time and privileged space correspond exactly to proper time and proper space as defined in the theory of Relativity [2]. A central aspect of this theory is the existence of Temporal Waves (TWs), stationary electromagnetic waves oscillating along the fourth dimension. These TWs play a crucial role in determining the universe’s structure, driving its expansion, and potentially explaining phenomena such as dark energy and the generation of mass. According to the 4DEU theory, at the beginning of the universe's formation, four initial TWs were generated from the quantum vacuum that has always existed [3]. These waves required a certain temporal duration, governed by the energy-time uncertainty principle, to transition from ‘virtual’ to ‘real entities. The application of the Bohr-Wigner uncertainty relation further confirmed the stability of these initial TWs (chapter 3.4.3 in [4]). As the universe expanded, the wavelengths of the TWs increased, and the effects of the uncertainty principle at macroscopic scales disappeared. The Bohr-Wigner uncertainty relation is given by: This approach confirmed that the four initial TWs were stable ∆ ∙ ∆ ≈ ℎ (1) Journal of Electrical Electronics Engineering ISSN: 2834-4928