Numerical demonstration of three-dimensional terahertz metamaterials based on the causality principle

A parameter retrieval algorithm based on the causality principle and Kramers-Kronig （KK） relations is employed to calculate the effective parameters of three-dimensional （3D） metamaterials. Using KK relations, the branch selecting problem, which is the challenge of effective parameter retrieval method, can be removed. To reveal the validity of the proposed algorithm, the constitutive refractive index of a homogeneous polymide cube is extracted. The result is in excellent agreement with the intrinsic refractive index of the polymide. Finally, the two terahertz metamaterials with 3D structures are designed and their effective parameters are then retrieved using the proposed algorithm. Numerical simulations are performed using the fuiI-wave electromagnetic solver, CST Microwave Studio.

Anselm＇s Metaphysics in the Lineage of Parmenides： Nihil est per nihil

Among those who pay homage to Parmenides as a source of unquenchable inspiration for Western thought, we now revisit the Poem Of Nature as the birthplace of the principle of causality through the elimination of non-being at the origin of being. Indeed in Parmenides＇ Poem, a negative conviction can be found--the refusal that the non-being is at the origin of the being--which leads most philosophers to the affirmative conviction that something is at the origin of the being. The two convictions are two rational beliefs which have stimulated ancient Greek philosophy, and have continuously represented a structuring axis in the history of Western thought. With Aristotle, that affirmative conviction was converted into a principle of causality, that is, into a principle which requires a causal explanation for the intelligibility of reality. In Latin Middle Ages, we find a singular figure who promotes the synthesis of the two fundamental beliefs, the negative conviction, explicit in Parmenides, and the affirmative conviction, explicit in Aristotle： It is Saint Anselm. In an initial chapter （III） of his first work, the Monologion, Anselm declares that ＂nothing is by nothing＂ （nihil est per nihil）, and that consequently ＂all that is, is not but by something＂ （quidquid est, non nisi per aliquid est）. All of Anselm＇s metaphysics is an analysis and a development of this affirmative rational belief. Therefore, we claim Parmenides＇ paternity of Saint Anselm＇s metaphysics, of whom one may say he was the medieval Parmenides.

The Necessary Existence of Gravitational Waves and the Repulsive Gravitation

It is exciting that the gravitational wave has been confirmed, according to the announcement of LIGO. Perhaps, this is the time for physicists to fix the Einstein equation for the gravitational wave and the nonexistence of the dynamic solution. These two problems are inextricably related. As a first step, theorists should improve their pure mathematics beyond Einstein on non-linear mathematics and related physical considerations. Then, theoretically we must first show that the gravitational waves necessarily exist that Einstein was not certain. We find that the existence of gravitational waves is due to that the photons must have a gravitational wave component. Next, we must rectify the Einstein equation that has no gravitational wave solution which Einstein has recognized, and no dynamic solution that Einstein failed to see. However, it is very questionable that the measured gravitational waves are due to the black holes that can be definitely valid due to the long distance of the sources. Moreover, since the repulsive gravitation can also generate a gravitational wave, the problem of gravitational wave is actually far more complicated than we have known. A useful feature of the gravitational wave based on repulsive gravitation is that it can be easily generated on earth. Thus this can be a useful tool for communication because it can penetrate any medium.