The force law of Maxwell’s classical electrodynamics does not agree with Newton’s third law of motion (N3LM), in case of open circuit magnetostatics. Initially, a generalized magnetostatics theory is presented that includes two additional physical fields B_Φ and B_l, defined by scalar functions. The scalar magnetic field B_l mediates a longitudinal Ampère force that balances the transverse Ampère force (aka the magnetic field force), such that the sum of the two forces agrees with N3LM for all stationary current distributions. Secondary (...) field induction laws are derived; a secondary curl free electric field E_l is induced by a time varying scalar magnetic field B_l, which isn’t described by Maxwell’s electrodynamics. The Helmholtz’ decomposition is applied to exclude E_l from the total electric field E, resulting into a more simple Maxwell theory. Decoupled inhomogeneous potential equations and its solutions follow directly from this theory, without having to apply a gauge condition. Field expressions are derived from the potential functions that are simpler and far field consistent with respect to the Jefimenko fields. However, our simple version of Maxwell’s theory does not satisfy N3LM. Therefore we combine the generalized magnetostatics with the simple version of Maxwell’s electrodynamics, via the generalization of Maxwell’s speculative displacement current. The resulting electrodynamics describes three types of vacuum waves: the Φ wave, the longitudinal electromagnetic (LEM) wave and the transverse electromagnetic (TEM) wave, with phase velocities respectively a, b and c. Power- and force theorems are derived, and the force law agrees with Newton’s third law only if the phase velocities satisfy the following condition: a >> b and b = c. The retarded potential functions can be found without gauge conditions, and four retarded field expressions are derived that have three near field terms and six far field terms. All six far field terms are explained as the mutual induction of two free fields. Our theory supports Rutherford’s solution of the 4/3 problem of electromagnetic mass, which requires an extra longitudinal electromagnetic momentum. Our generalized classical electrodynamics might spawn new physics experiments and electrical engineering, such as new photoelectric effects based on Φ- or LEM radiation, and the conversion of natural Φ- or LEM radiation into useful electricity, in the footsteps of dr. N. Tesla and dr. T.H. Moray. (shrink)

Maxwell’s Classical Electrodynamics (MCED) suffers several inconsistencies: (1) the Lorentz force law of MCED violates Newton’s Third Law of Motion (N3LM) in case of stationary and divergent or convergent current distributions; (2) the general Jefimenko electric field solution of MCED shows two longitudinal far fields that are not waves; (3) the ratio of the electrodynamic energy-momentum of a charged sphere in uniform motion has an incorrect factor of 4/3. A consistent General Classical Electrodynamics (GCED) is presented that is based on (...) Whittaker’s reciprocal force law that satisfies N3LM. The Whittaker force is expressed as a scalar magnetic field force, added to the Lorentz force. GCED is consistent only if it is assumed that the electric potential velocity in vacuum, ’a’, is much greater than ’c’ (a ≫ c); GCED reduces to MCED, in case we assume a = c. Longitudinal electromagnetic waves and superluminal longitudinal electric potential waves are predicted. This theory has been verified by seemingly unrelated experiments, such as the detection of superluminal Coulomb fields and longitudinal Ampe`re forces, and has a wide range of electrical engineering applications. (shrink)

Though commentators have paid little thematic attention to Heidegger’s 1928 treatise “On the Essence of Ground” (OEG), recently available subsequent writings suggest that Heidegger himself saw OEG as a pivotal step on the way to “overcoming” his analysis of fundamental ontological transcendence. Among these writings is a set of rarely discussed lettered notes originally scribbled into his personal copy of OEG in which Heidegger offers a point-for-point deconstruction of the treatise’s fundamental ontological interpretation of transcendence. I argue that examining the (...) interplay between these two tiers of analysis may illuminate the murky trail that cuts between the beaten track of Being and Time and the increasingly well-trodden paths of Contributions to Philosophy and other later writings. Part one motivates the reading I propose by situating OEG in the broader contexts of its reception in the secondary literature, its engagement by Heidegger himself in subsequent writings, and my own interpretation—in view of Heidegger’s remarks—of its utility for illuminating the catalyst’s role played by the transcendence problem in the development of his overall project. Against this backdrop, part two advances a selective reading of the most important developments in OEG’s main text and lettered notes, elucidating in the process their hermeneutic significance for returning to and “turning” from the progressive elaboration of transcendence that both initiates and eventually exhausts Heidegger’s fundamental ontological inquiries. The picture that emerges, I conclude, is that OEG is hermeneutically a significantly more important work (for Heidegger certainly, but potentially also for his interpreters) than its marginal status in the secondary literature might lead one to believe. (shrink)