Introduction A new foundational physics is emerging which radically changes our concepts of electromagnetic waves. The original quantum ideas of Max Planck and Albert Einstein from the turn of the twentieth century, are undergoing an impressive renaissance now at the turn of the twenty-first century. The result is a fundamental physics of electromagnetic waves that […]

# Electromagnetic Waves

## The Fundamental Physics of Electromagnetic Waves Part 2

The frequency variable Planck’s quantum formula was incomplete, and as a result did not contain the oscillation energy constant. This in turn resulted in a quantum formula in which the units did not balance: E (Joules) = h (Joule seconds) v(oscillations per second), but Joules -Joules oscillations (16) Scientists found they were unable to balance […]

## The Fundamental Physics of Electromagnetic Waves Part 3

Virtual thermal effects of resonant EM waves When resonant EM waves perform work on a system and increase one or more oscillation amplitudes within the system, that increased oscillation energy is free to be transformed into work within the system. In the case of the aqueous solvent system described in the experimental example above, the […]

## Modern Classical Electrodynamics and Electromagnetic Radiation – Vacuum Field Theory Aspects (Electromagnetic Waves) Part 1

Introduction "A physicist needs his equations should be mathematically sound and that in working with his equations he should not neglect quantities unless they are small" P.A. M. Dirac Classical electrodynamics is nowadays considered [29; 57; 80] the most fundamental physical theory, largely owing to the depth of its theoretical foundations and wealth of experimental […]

## Modern Classical Electrodynamics and Electromagnetic Radiation – Vacuum Field Theory Aspects (Electromagnetic Waves) Part 2

The vacuum field theory electrodynamics equations: Hamiltonian analysis Any Lagrangian theory has an equivalent canonical Hamiltonian representation via the classical Legendre transformation[1; 2; 46; 56; 104]. As we have already formulated our vacuum field theory of a moving charged particle q in Lagrangian form, we proceed now to its Hamiltonian analysis making use of the […]

## Modern Classical Electrodynamics and Electromagnetic Radiation – Vacuum Field Theory Aspects (Electromagnetic Waves) Part 3

Radiation reaction force: the vacuum-field theory approach In the Section, we shall develop our vacuum field theory approach [6; 52-55] to the electromagnetic Maxwell and Lorentz theories in more detail and show that it is in complete agreement with the classical results. Moreover, it allows some nontrivial generalizations, which may have physical applications. For the […]

## Electromagnetic-wave Contribution to the Quantum Structure of Matter Part 1

Introduction The quantum theory of matter does not describe real matter until electromagnetic theory is used to account for such diverse radiative phenomena as spontaneous emission and the shift of quantum energy levels. Classical electrodynamics fails to account quantitatively for these radiative effects in the structure of matter. Quantum electrodynamics (QED) does successfully account for […]

## Electromagnetic-wave Contribution to the Quantum Structure of Matter Part 2

Photon equations of motion In this section equations of motion for the photon are given and used to calculate a divergence-free Lamb shift [14-15]. As in the case of the electron in Section II we assume that a complex four-potential exists for the photon such that a photon EOM can be written as the Lorentz […]

## Gouy Phase and Matter Waves (Electromagnetic Waves) Part 1

Introduction Schrodinger conceived his wave equation having in mind de Broglie’s famous relation from which we learnt to attribute complementary behavior to quantum objects depending on the experimental situation in question. He also thought of a wave in the sense of classical waves, like electromagnetic waves and others. However, the space-time asymmetry of the equation […]

## Gouy Phase and Matter Waves (Electromagnetic Waves) Part 2

Covariance axp and Gouy phase In this section, we calculate the covariance between position and momentum and the Gouy phase for fullerenes molecules considering the free Schrodinger equation. We calculate the phase and show that it is also related to the covariance axp as well as in the case of pure Gaussian states. Starting from […]