Search Results (48)

This article analyzes the governance of religious diversity in public employment through the study of Quebec’s Bill 21. It examines how the State uses neutrality to manage religious symbols, focusing on implications for pluralism and fundamental rights within democratic governance frameworks and diversity regulation in plural societies. It situates Bill 21 within Quebec’s longer legal and political trajectory, marked by failed legislative attempts, recourse to the “notwithstanding clause,” and deep social polarisation around the construction of a francophone, secular identity. Methodologically, the study combines doctrinal analysis of Canadian constitutional law with a detailed examination of European Court of Human Rights and Court of Justice of the European Union case law, as well as a critical discussion of the Bouchard–Taylor Commission’s model of “open secularism” and later reinterpretations by Bouchard, Taylor and Maclure. The article finds that Quebec’s lawmakers selectively invoke European jurisprudence and the language of neutrality to justify far-reaching restrictions on visible religious symbols, especially for officials with coercive powers such as judges, police and prison staff, in ways that go beyond typical European practice. It argues that equating impartiality with an appearance of strict neutrality reflects the cultural assumptions of the majority and produces discriminatory effects on religious minorities, limiting both freedom of religion and equal access to public employment. The conclusion contends that neutrality should be assessed primarily through officials’ conduct rather than their appearance and that more inclusive models of secularism—grounded in open secularism and reasonable accommodation—offer better tools for reconciling State neutrality, pluralism and fundamental rights. Full article

This paper investigates the optimal control problem of orbital rendezvous for spacecraft in near-circular orbits with a low-thrust propulsion system. Two optimality criteria are considered: time-optimal and motor-time-optimal control. A linearized mathematical model of relative motion between the active and passive spacecraft is employed, which is formulated in dimensionless variables that characterize secular, periodic, and lateral motion components of the relative motion. By applying Pontryagin’s Maximum Principle, the equations governing the optimal relative motion of the spacecraft are derived. To address the discontinuities associated with the bang–bang switching function inherent in the motor-time-optimal problem, and the lack of a suitable initial guess, a homotopy method is adopted, in which the solution to the rendezvous time-optimal problem is used as an initial guess and is gradually deformed into the motor-time-optimal control. Considering the errors introduced by the linearization of the relative motion model, the obtained control law is validated via numerical simulations based on the original nonlinear dynamics of the system. Simulation results demonstrate that the proposed trajectory optimization methodology achieves high success rates and rapid convergence, providing valuable theoretical support and practical guidance for mission scenarios with similar trajectory design requirements. Full article

A classical three-body problem with two planets moving around a central star of variable mass on quasi-periodic orbits is considered. The bodies are assumed to attract each other according to Newton’s law of universal gravitation. The star loses its mass anisotropically, and this leads to the appearance of reactive forces. The problem is analyzed in the framework of Newtonian’s formalism, and equations of motion are derived in terms of the osculating elements of aperiodic motion on quasi-conic sections. As equations of motion are not integrable, the perturbation theory is applied with the perturbing forces expanded into power series in terms of eccentricities and inclinations, which are assumed to be small. Averaging these equations over the mean longitudes of the planets in the absence of mean-motion resonances, we obtain the differential equations describing the long-term evolution of orbital elements. Numerical solutions to the evolution equations are obtained and analyzed for three different three-body systems. The obtained results demonstrate clearly that variability of masses may influence essentially the secular evolution of the orbital elements. All the relevant symbolic and numerical calculations are performed with the computer algebra system Wolfram Mathematica. Full article

The continual production of long wavelength gravitons during primordial inflation endows graviton loop corrections with secular growth factors. During a prolonged period of inflation, these factors eventually overwhelm the small loop-counting parameter of $G{H}^2$, causing perturbation theory to break down. A technique was recently developed for summing the leading secular effects at each order in non-linear sigma models, which possess the same kind of derivative interactions as gravity. This technique combines a variant of Starobinsky’s stochastic formalism with a variant of the renormalization group. Generalizing the technique to quantum gravity is a two-step process, the first of which is the determination of the gauge fixing condition that will allow this summation to be realized; this is the subject of this paper. Moreover, we briefly discuss the second step, which shall obtain the Langevin equation, in which secular changes in gravitational phenomena are driven by stochastic fluctuations of the graviton field. Full article

This study examines the behavior of Rayleigh waves propagating through a homogeneous, isotropic material, analyzed using a three-phase-lag thermoelastic diffusion framework enhanced by modified couple stress theory. The mathematical model integrates coupled thermoelastic and diffusive effects, incorporating phase-lags associated with (1) temperature gradients, (2) heat flux, and (3) thermal displacement gradients. By solving the derived governing equations analytically subject to stress-free, thermally insulated, and impermeable boundary conditions, we obtain the characteristic secular equation for Rayleigh wave propagation. Numerical simulations conducted on a copper medium evaluate how the secular equation’s determinant, wave velocity, and attenuation coefficient vary with angular frequency. The analysis focuses particularly on the influence of phase-lag parameters, including thermal and diffusion gradients and relaxation times. Results demonstrated that increasing the displacement gradient phase-lag elevated the secular determinant but reduced wave velocity and attenuation, while temperature gradient phase-lags exhibited the opposite trend. The study highlights the sensitivity of Rayleigh wave propagation to thermo-diffusive coupling and microstructural effects, offering insights applicable to seismic wave analysis, geophysical exploration, and material processing. Comparisons with prior theories underscore the model’s advancement in capturing size-dependent and memory-dependent phenomena. Full article

We performed the microscopic calculation of $\beta$-decay properties for waiting-point nuclei with neutron-closed magic shells. Allowed Gamow–Teller (GT) and first-forbidden (FF) transitions were simulated using a schematic model (SM) for waiting-point N = $50,82$ isotopes in the framework of a proton–neutron quasiparticle random phase approximation ($pn$-QRPA). The Woods–Saxon (WS) potential basis was used in our calculations. The $pn$-QRPA equations of allowed (GT) and (FF) transitions were utilized in both the particle–hole ($ph$) and particle–particle ($pp$) channels in the SM. We solved the secular equations of the GT and FF transitions for eigenvalues and eigenfunctions of the corresponding Hamiltonians. A spherical shape was assigned to each waiting-point nucleus in all simulations. Significantly, this study marks the first time that $\beta$-decay analysis has been applied to certain nuclei, including ⁸²Ge₅₀, ⁸³As₅₀, ⁸⁴Se₅₀, ⁸⁵Br₅₀ and ⁸⁷Rb₅₀ with $N=50$ isotones, and ¹³²Sn₈₂, ¹³³Sb₈₂, ¹³⁴Te₈₂, ¹³⁵I₈₂ and ¹³⁷Cs₈₂ with $N=82$ isotones. Since there is no prior theoretical research on these nuclei, this work is a unique addition to the field. We compared our results with the previous calculations and measured data, and our calculations agree with the experimental data and the other theoretical results. Full article

The classical many-body problem is not integrable, so perturbation theory based on an exact solution to the two-body problem is usually applied to investigate the dynamics of planetary systems. However, in the case of variable masses, the two-body problem is not integrable, in general, and application of perturbation theory is required to investigate it, as well. In the present paper, we use the perturbation theory to derive the differential equations determining the orbital elements of the relative motion of one body around the other. Two models of the perturbed aperiodic motion on conic and quasi-conic sections are considered and compared. Special attention is paid to the practically important case of small eccentricities, when the perturbing forces may be replaced by the corresponding power series expansions. The differential equations of the perturbed motion are averaged over the mean anomaly, and the evolutionary equations describing the behavior of the orbital elements over long periods of time are obtained for two models. Comparing the corresponding solutions to the evolutionary equations, we have shown that both models demonstrate similar behavior with regard to the secular perturbations of the orbital elements. However, the second model, based on the aperiodic motion on a quasi-conic section, is more appropriate for generalization to the many-body problem with variable masses. All the relevant symbolic and numerical calculations are performed with the computer algebra system Wolfram Mathematica. Full article

This paper investigates the propagation of in-plane surface waves in a coated thermoelastic half-space. First, it investigates a special case where the surface layer is described by the Maxwell–Cattaneo thermoelastic approach, while the half-space is filled by a thermoelastic material described by the classical Fourier law for the heat flux. The contact between the layer and the half-space is assumed to be welded, i.e., the displacements and the temperature, as well as the stresses and the heat flux are continuous through the interface of the layer and the half-space. The boundary and continuity conditions of the problem are formulated and then the exact dispersion relation of the surface waves is established. An illustrative numerical simulation is presented for the case of an aluminum thermoelastic layer coating a thermoelastic copper half-space, highlighting important aspects regarding the propagation of Rayleigh waves in such structures. The exact effective boundary conditions at the interface are also established replacing the entire effect of the layer on the half-space. The general case of the problem is also investigated when both the surface layer and the half-space are described by the Maxwell–Cattaneo thermoelasticity theory. This study helps to further understand the propagation characteristics of elastic waves in layered structures with thermal effects described by the Maxwell–Cattaneo approach. Full article

This paper examines the stability behavior of the nonlinear dynamical motion of a vibrating cart with two degrees of freedom (DOFs). Lagrange’s equations are employed to establish the mechanical regulating system of the examined motion. The proposed approximate solutions (ASs) of this system are estimated through the use of the multiple-scales method (MSM). These solutions are considered novel as the MSM is being applied to a new dynamical model. Secular terms have been eliminated to meet the solvability criteria, and every instance of resonance that arises is categorized, where two of them are examined concurrently. Therefore, the modulation equations are developed based on the representations of the unknown complex function in polar form. The solutions for the steady state are calculated using the corresponding fixed points. The achieved solutions are displayed graphically to illustrate the impact of manipulating the system’s parameters and are compared to the numerical solutions (NSs) of the system’s original equations. This comparison shows a great deal of consistency with the numerical solution, which indicates the accuracy of the applied method. The nonlinear stability criteria of Routh–Hurwitz are employed to assess the stability and instability zones. The value of the proposed model is exhibited by its wide range of applications involving ship motion, swaying architecture, transportation infrastructure, and rotor dynamics. Full article

Love is a keystone in Franz Rosenzweig’s philosophy, which reaffirmed Judaism’s emphasis on vital, relational love. What “love” exactly means, however, is controversial. In the Christian context, love is often denoted by Agape—which implies (1) that “God is Love”, (2) that love is universal, impartial, and rather endorses the sinner; and (3) that humans should practice and emulate such love. The ultimate expression of Agape is the commandment to love one’s enemy, which is rooted in the Sermon on the Mount (Matthew 5:44). This essay considers Rosenzweig’s understanding of Agape, at the implicit level (since the coining by Anders Nygren of Christian love as “Agape” became widespread only after Rosenzweig’s death). This essay opens by contextualizing Rosenzweig within political theology, in particular vis-à-vis Schmitt. Secondly, it considers Rosenzweig’s approach to Agape in the sense of divine love, and in the sense of the love of enemy. Concerning divine love, Rosenzweig criticized theological Agapism (‘God is love’) which equates God with love, and hence makes love into a dogma or noun, rather than an action or verb, thus depriving divinity’s personal loving agency. Concerning the agapic love of enemy, Rosenzweig discredits its Christian version (for being imperialistic), and advocates its Jewish version of accepting divine judgement. His surprising advocacy of the love of enemies may result from Rosenzweig’s opposition to Gnosticism, which excludes the ‘good God’ from involvement in the physical world. The essay’s conclusion reflects on the role of Agape and its pragmatist versions in the post-secular world of the 21st century and conveys Rosenzweig’s pragmatist contribution in this regard, of recognizing the significance of worldliness and togetherness. Full article

Anchored in the Ignatian ethos of spirituality and education, Jesuit education initially emerged as a vehicle for spiritual development within the Catholic sphere. In Ireland, from the early 19th century onwards, it was strategically aligned with British colonial interests, fostering a unique form of colonial Catholicism. This article examines how Jesuit education served the domestic elite during British rule, employing education strategically to bolster Catholic interests in the 19th century. It focuses on how institutions like Tullabeg and Clongowes became instrumental in merging Catholic education with colonial aims, purportedly under a divine mandate. This scrutiny reveals that the colonial drive towards a Westernized, secular approach in religion and education unexpectedly strengthened religious identities and their political sway, countering the prevalent assumption that modernization equates to secularization. The analysis of the roles played by these premier boarding schools in cultivating colonial Catholicism demonstrates that Jesuit education in Ireland was significant in reshaping the dynamics of religion, education, and politics. This case study highlights the complex outcomes of colonial religious and educational strategies, highlighting the persistent impact of colonialism on Ireland’s religious character and societal conversation. It illuminates the intricate interplay between faith, education, and colonialism. Full article

Topic: This review explores the important issue of the ‘institutional sustainability’ (IS) of faith-based development organizations (FBDOs) providing microfinance services to the poor in the developing world. IS has often been equated with the financial self-reliance of microfinance service providers, with income from credit charged on loans as well as other fees being used to pay for the service. While the approaches and tensions inherent in the attainment of IS by microfinance providers seeking to help the poorest in society have been well explored in the literature, there has been no specific analysis of FBDO providers and the special challenges they may face. Methodology: This paper is based on a review of the literature using a combination of search terms such as ‘microfinance’, ‘development’, ‘institutional sustainability’, ‘financial self-reliance’ and ‘faith’, with a special emphasis on the literature published between the 1990s and 2023. Results: One of the main findings is that Christian and Hindu FBDOs providing microfinance largely follow the financial self-reliance conceptualization of IS applied by secular providers and apply much the same set of responses regarding the setting of interest rates and other charges and the management of repayment amongst their client base. However, FBDOs of the Islamic faith take a broader perspective on IS and include the need for spirituality and religious development amongst their clients. Future directions: This paper makes a number of suggestions for future research, including (1) the reasons why religious development and spirituality do not appear to be strong issues for Christian and Hindu FBDOs relative to their Islamic counterparts; (2) the potential for inter-faith collaboration between FBDOs and secular providers, between FBDOs of different faiths as well as FBDOs from versions of the same faith (e.g., Protestant and Catholic); and (3) whether FBDOs are more naturally predisposed and able to engage and collaborate with the informal microfinance sector than secular microfinance providers. Full article

On the basis of a general action principle, we revisit the scale invariant field equation using the cotensor relations by Dirac (1973). This action principle also leads to an expression for the scale factor $\lambda$, which corresponds to the one derived from the gauging condition, which assumes that a macroscopic empty space is scale-invariant, homogeneous, and isotropic. These results strengthen the basis of the scale-invariant vacuum (SIV) paradigm. From the field and geodesic equations, we derive, in current time units (years, seconds), the Newton-like equation, the equations of the two-body problem, and its secular variations. In a two-body system, orbits very slightly expand, while the orbital velocity keeps constant during expansion. Interestingly enough, Kepler’s third law is a remarkable scale-invariant property. Full article

This article analyzes how and why a near-total abortion ban was recently secured by a populist ruling party with support from Catholic Church leaders and lay groups following earlier passage of one of the most restrictive abortion laws in Europe. The paper further examines the public health threats posed by these measures, which have long been under-researched. These policy shifts are situated within the deeply embedded context of Poland’s abortion conflict and a setting that has long been challenging for reproductive health. The 1993 ban led to the resurgence of clandestine abortions, a near-total privatization of abortion services, and more women seeking abortion services overseas. In late 2020, the exemption for severe fetal anomalies that made up 97% of all legal abortion cases in prior years was eliminated. Neither ban has significantly reduced the number of women obtaining abortions, nor have they increased birth rates as anticipated by proponents who championed traditional family values that they equated with Catholicism and Polish national identity. The new blanket ban on abortion constitutes a health risk and a punitive measure achieved via a judgement of the Constitutional Tribunal stacked with loyalists by the ruling party. It did not reflect popular will, although societal attitudes on abortion are markedly less permissive than in much of Europe. Although the populist and religious right have realized their long-held goal of further restricting, if not eliminating, women’s access to abortion services, compelling criticisms have been raised about how this move compromises women’s health and autonomy. Ironically, the realization of this goal, which many Poles view as unduly extreme, may also undermine long-term support for both the political right and the Church. The wisdom of their move was widely questioned, sparked the largest protests since the end of Communist rule, and drew international criticism. It proved a polarizing action that alienated many young adults and may have accentuated a secularizing shift. Women and their partners are finding new ways to navigate many public health threats by increasingly traveling beyond Poland for safe abortion care and resorting to newly available medication abortion methods. Full article

In the report he submitted to the Académie des Sciences, Poisson imagined a set of concentric spheres at the origin of Earth’s magnetic field. It may come as a surprise to many that Poisson as well as Gauss both considered the magnetic field to be constant. We propose in this study to test this surprising assertion for the first time, evoked by Poisson in 1826. First, we present a development of Maxwell’s equations in the framework of a static electric field and a static magnetic field in order to draw the necessary consequences for the Poisson hypothesis. In a second step, we see if the observations can be in agreement with Poisson. To do so, we choose to compare (1) the polar motion drift and the secular variation of Earth’s magnetic field, (2) the seasonal pseudo-cycles of day length together with those of the sea level recorded by different tide gauges around the globe and those of Earth’s magnetic field recorded in different magnetic observatories. We then propose a mechanism, in the spirit of Poisson, to explain the presence of the 11-year cycle in the magnetic field. We test this mechanism with observations, and finally, we study closely the evolution of the $g_{1,0}$ coefficient of the International Geomagnetic Reference Field (IGRF) over time. Full article