The fundamental theory describing “Electrodynamic Fields” has been developed by James Clerk Maxwell and has not changed since Maxwell’s publication in 1862. However this theory is incomplete and fundamentally wrong. Maxwell’s theory, describing Electrodynamics, has been based on the assumption of the superposition of electric fields and magnetic fields. For this reason Maxwell’s equations are linear differential equations. Images in Lithography are considered to be the superposition of a collection of fundamental images.
In this New Theory in Physics a new “Non-Linear Electrodynamic” equation has been developed which describes the mutual interaction between different fundamental images. The final resulting image is not any more the superposition of the fundamental images but the final image becomes the result of the mutual interaction between the separate images. This final image is fundamentally different than the superposition of the original separate images.
Lithographic Imaging (Photolithography) represents the border area between the material world (silicon wafer) and the energy world (mutual electromagnetic imaging). Existing theories to describe these material-energy interactions are far from the required necessary theoretical physics to realize mutual imaging interaction processes at the surface of the silicon wafer. The only possibility to describe these complex interaction processes correctly is to develop a new theory in physics which describes the electro-magnetic force density interactions (expressed in N/m3) (equation 8). The integration of these force densities of the total interaction volume describes the total force between separate images which is deforming the final image. In this way it is possible to project line thicknesses on a silicon wafer smaller than the wavelength of the used optical light source (LASER). The superposition of images is valid over distances larger than the wavelength of the used optical light source. The electromagnetic interaction between images (contraction of the final image) is valid over distances shorter than the wavelength of the used optical light source.
The new theory will be tested at large cosmic scale: Gravitational RedShift, Black Holes and Dark Matter and at sub-atomic levels. And at small atomic scale: The absorption and emission of light at sub-atomic levels in concentric spheres by an atom at discrete energy levels. Evidence will be demonstrated about the correctness of this new electro-dynamic theory which represents the only theory which connects electro-dynamics in a correct way.
Mathematical Proof of Light Propagation and Gravitational Redshift via the LIFE Framework Wim Vegt Wim Vegt, Eindhoven University of Technology Posted 4 years ago Author: Wim Vegt, Physicist & Researcher (Ret.), Eindhoven University of Technology
Introduction: The Empirical Gap in General Relativity
Historically, the validation of General Relativity (GR) has relied heavily on the 1919 solar eclipse observations. However, that historical outcome was largely matched by introducing arbitrary universal constants to fit the data. A truly rigorous, isolated test of GR only became possible recently with the highly eccentric Galileo Satellites, which allowed for the measurement of a precisely controlled MASER signal from space to a ground station.
When subjected to this strict empirical test, classical GR reveals a fundamental mathematical limitation: Gravitational Redshift is not an intrinsic, direct solution of the Einstein Field Equations. To describe the interaction between gravity and light accurately, the inertia (effective mass) of light must be inherently coupled within the fundamental electromagnetic field equations.
The Limitation of Maxwell's Equations
Classical electrodynamics, governed by Maxwell’s equations, completely lacks an inertia term for light. Because Maxwell's equations cannot describe the mechanical inertia of an electromagnetic field, they cannot natively compute how that field interacts with a gravitational gradient. To solve this, we must develop a more complete electromagnetic equation built upon a more fundamental bedrock of physics.
The LIFE Framework: 4-Dimensional Universal Equilibrium
To resolve this without introducing arbitrary universal constants, this notebook utilizes the Localized Intrinsic Field Equilibrium (LIFE) framework. The LIFE framework returns to the absolute foundation of classical physics: Isaac Newton’s Third Law (The Law of Equilibrium). By extending Newton’s principle of macroscopic spatial equilibrium into a rigorous 4-dimensional continuous spacetime framework, the LIFE theory balances electromagnetic force densities, spatial inertia, and gravitational fields simultaneously in strict [N/m^3] terms.
What This Notebook Demonstrates:
In the LIFE framework, there is no need to introduce an arbitrary universal constant to force the math to match reality. Instead, the calculations in this notebook prove that the phenomena described by General Relativity—specifically the accurate propagation of light and Gravitational Redshift within a gravitational field—emerge naturally as exact, direct solutions of the LIFE field equations. I invite the Wolfram Community to run these calculations, examine the integration of the electromagnetic inertia term, and explore how a strict return to 4-dimensional force-density equilibrium perfectly models the Galileo satellite MASER data where classical equations fall short.
References:
[1] Vegt, W; A Continuous Model of Matter Based on AEONs; Physics Essays volume 8, number 2, 1995; https://zenodo.org/records/19001551; https://research.tue.nl/en/publications/a-continuous-model-of-matter-based-on-aeons/
[2] Vegt W; The Origin of Gravity; Research & Reviews: Journal of Pure and Applied Physics; https://www.rroij.com/peer-reviewed/the-origin-of-gravity-91966.html ; https://www.rroij.com/peer-reviewed/the-origin-of-gravity-91966.html; https://zenodo.org/records/19002089
[3] Vegt W; Enhancing Precision in Electromagnetic Force Density Modulation Using LASER Control; Journal of Laser Applications; AIP publishing; DOI: https://doi.org/10.2351/7.0001636; https://zenodo.org/records/19009836
[4] Vegt W; Achieving Ultra High Resolution Lithography via Intrinsic Equilibrium and Electron Driven Spin Resonance; https://zenodo.org/records/19020344
[5] Vegt W; A Unified Force Density Framework for Plasma Confinement: Integrating Navier-Stokes with Local Interaction Field Equilibrium (LIFE); https://zenodo.org/records/19067591
[6] Vegt W; Macroscopic Force-Density Equilibrium: A Deterministic Bridge Between General Relativity and Quantum Mechanics; https://zenodo.org/records/20189659
Calculations in Mathematica demonstrating the Local Intrinsic Field Equilibrium (LIFE) framework
[7] Vegt W; Mathematical Proof of Arbitrary Wave Propagation and Field Equilibrium using the LIFE Framework; https://community.wolfram.com/groups/-/m/t/2576692?p_p_auth=6wOlNOpR
[8] Vegt W; Mathematical Proof of Light Propagation and Gravitational Redshift via the LIFE Framework; https://community.wolfram.com/groups/-/m/t/2576537?p_p_auth=gVJYf1N4
[9] Vegt W; Exact Mathematical Solutions for Toroidal Confinement of MASER Radiation in Tokamaks https://community.wolfram.com/groups/-/m/t/3115543?p_p_auth=8VRRtDct
[10] Vegt W; Mathematical Proof of "Slow Light" in Silicon Crystals via Lattice Resonance and the LIFE Framework https://community.wolfram.com/groups/-/m/t/3571371?p_p_auth=Yid6Zlnp
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