Abstract: This Study attempts to tackle the most plausible timeframe of the biblical figure Abraham from a holistic point of view. We have employed the archeological, astronomical, environmental, and documentary evidence in arriving at our results. In doing so, we able to synchronize the most influential global forces with the real and original older historic sources like the chronologies of Manetho and Berrosus. Furthermore, key material culture changes were observed as tracers of major markers for civilization shift. We also consulted various signs from the holy scriptures as appropriate. The patriarchal chronology closely followed major shifts in Egyptian dynastic rotation. It was found that Abraham time was within the second Egyptian dynasty. The findings were confirmed by matching events from the Babylonian chronology, where he is found to have lived during Kish 2 dynasty. As a follow up on this result, we established the identity of Joseph as Imhotep, the vizier of king Djoser from the 3rd dynasty.

Abraham’s sending forth of Hagar and Ishmael in Gen 21:14 has generally been viewed as an expulsion. It is held that the primary, if not sole, purpose behind this act was to prevent Ishmael from interfering with Isaac’s inheritance. Using an intertextual approach, with an emphasis on key words, Sarah’s גרש (gāreš) demand and Abraham’s שלח (šellach) of Hagar is compared with the narratives of the children of Israel, Jesus, and Adam to uncover objectives as the bestowal of freedom and a mission. An examination of how the LXX translates, and Josephus explains, Sarah and Abraham’s “send-off” of Hagar suggests a mission objective behind their intentions. Abraham’s motivations are analyzed to ascertain whether Hagar’s “send-off” was part of a plan to expand the reach of Abraham and Sarah’s faith-based operations. Finally, linguistic analysis is undertaken to discover possible motives for why Sarah chose Hagar to have a son. These approaches to the biblical story bring into focus a portrait that is radically different from the standard interpretation where there are multiple objectives of Hagar and Ishmael’s being sent into the wilderness primary among them being expanding Abraham and Sarah’s faith-based mission.

An analysis of the consistency of the Abraham and Minkowski momenta in the determination of the photon trajectory was carried out considering a new principle of conservation of the photon's mechanical energy, in which the photon conserves translational energy in orbital angular momentum when transiting between two media, introducing the relativistic energy wave (REW). The confrontation between REW and the recent theory of space-time waves (ST) was considered, pondering your differences. Throughout this study it was possible to verify that the Abraham momentum appears a relativistic photon ignition device in the transition between two media, acting as the hidden momentum of the Minkowski’s relativistic momentum. The wavy behavior in the matter is relativistic, and the relativistic trajectory appears with delays and advances, with points of synchronization between source-observer. The classical or relativistic trajectories are determined as a function of the angle of incidence and the relative refractive index, by one of two distinct non-additive torques, the classic by Abraham or the relativistic by Minkowski. It was found that the same analysis conducted under the principle of conservation of the mechanical energy of the photon can be treated by an new Doppler, Relativistic Apparent, that can be confused with other Dopplers in the treatment of redshift from distant sources. It was found that the conservation of energy in Orbital Angular Momentum (OAM), in the interaction with matter, explains that the synchronization instants are found in the inversion of the OAM, where the advances and delays of REW occur under negligible variations of the OAM, however, opposites.

In this paper, we review a new treatment of classical radiation damping, which resolves a well-known contradiction in the Abraham-Lorentz equation that has long been a concern. This radiation damping problem has already been solved in quantum mechanics by the method introduced by Friedrichs. Based on Friedrichs’ treatment, we solved this long-standing problem by classicizing quantum mechanics by replacing the canonical commutation relation in quantum mechanics with the Poisson bracket relation in classical mechanics. As an application of our new approach, we will analyze the anomalous damping experienced by electrons undergoing cyclotron motion inside a waveguide near the cut-off frequency. This anomalous damping cannot be described using the existing Abraham-Lorentz equation.

The effects of photon inertia on the determination of its trajectory were verified and the representation of a displacement mass characterized by the flow of the number of wavefronts and the decomposition of photon inertia into parts associated with translation and rotation motions was considered. It was found that with the relativistic increase of the photon's resistance to change its directional properties, it inhibits the relativistic trajectory of the second torque, of Minkowski, in an angular range of incidence. After synchronizations, in the OAM inversions, there are reductions of the inertia associated to the translational part that assumes classical predominance, where the relativistic trajectory is allowed while the photon offers less resistance to changes in its directional properties. The classical-relativistic variability of the photon inertia characterizes the classical or relativistic profile of the energy distribution in forms of motion, where adjustments of the rotational and translational parts can be performed as a function of the refractive index rate, temperature and angle of incidence. It was found that with increasing temperature of the refringent medium, the synchronizations displacement in the sense of the normal incidence. A specific vacuum temperature for the refringent medium was characterized, where the photon exhibits a classical-relativistic synchronization under all angles of incidence, characteristic of its immaterial state in vacuum.