Early Era Research Articles

Simulating adiabatic quantum computing with parameterized quantum circuits

Abstract Adiabatic quantum computing is a universal model for quantum computing whose implementation using a gate-based quantum computer requires depths that are unreachable in the early fault-tolerant era. To mitigate the limitations of near-term devices, a number of hybrid approaches have been pursued in which a parameterized quantum circuit prepares and measures quantum states and a classical optimization algorithm minimizes an objective function that encompasses the solution to the problem of interest. In this work, we propose a different approach starting by analyzing how a small perturbation of a Hamiltonian affects the parameters that minimize the energy within a family of parameterized quantum states. We derive a set of equations that allow us to compute the new minimum by solving a constrained linear system of equations that is obtained from measuring a series of observables on the unperturbed system. We then propose a discrete version of adiabatic quantum computing that can be implemented in a near-term device while at the same time is insensitive to the initialization of the parameters and to other limitations hindered in the optimization part of variational quantum algorithms. We compare our proposed algorithm with the variational quantum eigensolver on two classical optimization problems, namely MaxCut and number partitioning, and on a quantum-spin configuration problem, the transverse-field ising chain model, and confirm that our approach demonstrates superior performance.

Flexibility and Innovation in Decisional Capacity Assessment.

Since the 1980s, the four skills criteria have become the most widely accepted mechanism for the assessment of decisional capacity in the United States. These criteria emerged in response to the paternalistic approach to clinical decision-making that had been widely accepted in an earlier era and offered a means of ensuring that physicians honored the rights of capacitated patients to make their own medical decisions. Unfortunately, the criteria are now applied to situations for which they are not suited and in a manner that is often highly inflexible. In an article in this issue of The Journal, Matthew Dernbach and colleagues describe one potential scenario that requires a flexible approach to using the four skills model: situations in which a patient stands at high risk of losing decisional capacity in the near future. Using Dernbach et al. as a starting point, this article offers specific ways in which the four skills model can be improved upon or augmented without abandoning its key principles. These advances include adjusting to empirical evidence, re-emphasizing the importance of autonomy maximization and restorability, and embracing novel conceptual and technological innovations.

A simple model of magnetic universe without singularity associated with a quadratic equation of state

A model of magnetic universe based on nonlinear electrodynamics has been introduced by Kruglov (Phys Rev D 92:123523, 2015). This model describes an early inflation era followed by a radiation era. We show that this model is related to the model of universe based on a quadratic equation of state introduced in our previous paper (Chavanis in Universe 1:357, 2015). This correspondence may provide a more fundamental justification of our equation of state. It may arise from quantum corrections to linear electrodynamics when the electromagnetic field becomes very high. We discuss two quantitatively different models of early universe. In Model I, the primordial density of the universe is identified with the Planck density. At t=0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$t=0$$\\end{document}, the universe had the characteristics of a Planck black hole (“planckion” particle). During the inflation, which takes place on a Planck timescale, the size of the universe evolves from the Planck length to a size comparable to the Compton wavelength of the neutrino. If we interpret the radius of the universe at the end of the inflation (neutrino’s Compton wavelength) as a minimum length related to quantum gravity and use Zeldovich’s first formula of the vacuum energy, we obtain the correct value of the cosmological constant. In Model II, the primordial density of the universe is identified with the electron density as a consequence of nonlinear electrodynamics. At t=0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$t=0$$\\end{document}, the universe had the characteristics of an electron. This can be viewed as a refinement of the “primeval atom” of Lemaître. During the inflation, which takes place on a gravitoelectronic timescale, the size of the universe evolves from the electron’s classical radius to a size comparable to the size of a dark energy star of the stellar mass. If we interpret the radius of the universe at the beginning of the inflation (electron’s classical radius) as a minimum length related to quantum gravity and use Zeldovich’s second formula of the vacuum energy, we obtain the correct value of the cosmological constant. This provides an accurate form of Eddington’s relation between the cosmological constant and the mass of the electron. We use these arguments to show that the present universe contains about 1080\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$10^{80}$$\\end{document} protons (Eddington’s number). We also introduce a nonlinear electromagnetic Lagrangian that describes simultaneously the early inflation, the radiation era, and the dark energy era. It may account for a form of “generalized radiation” that is present from the beginning to the end of the cosmic evolution. Baryonic and dark matter are treated as independent noninteracting species. The dark energy era is due to the electromagnetic vacuum energy (zero-point radiation). In this approach, both the early inflation and the late acceleration of the universe (dark energy) arise as a consequence of nonlinear electrodynamics. This leads to a simple model of magnetic universe without singularity (aioniotic universe).

Observable signatures of no-scale supergravity in NANOGrav

In light of NANOGrav data, we provide for the first time possible observational signatures of Superstring theory. First, we work with inflection-point inflationary potentials naturally realized within Wess–Zumino-type no-scale Supergravity, which give rise to the formation of microscopic primordial black holes (PBHs) triggering an early matter-dominated era (eMD) and evaporating before big bang nucleosynthesis (BBN). Remarkably, we obtain an abundant production of primordial gravitational waves (PGW) at the frequency ranges of nHz, Hz and kHz and in strong agreement with pulsar time array (PTA) gravitational wave (GW) data. This PGW background could serve as a compelling observational signature for the presence of quantum gravity via no-scale Supergravity.

Ukraine-Russian War Challenges and Opportunities

Our world has always faced numerous issues, driven by both natural cycles and the egoistic desires of states. Global organizations struggle to prevent human rights violations and environmental damage, as international structures from the early industrial era have become ineffective. A new Cold War has emerged, shifting from military to psycho-material spheres, with a focus on AI, drones, cybersecurity, and nuclear weapons. In the northwest of Eurasia, a new military intervention among Slavs is in full swing. Two forces, each stubbornly refusing to capitulate, fight against each other, raising questions about the morality of their actions. Every people, ethnicity, or nation has the right to self-determination, but these conflicts often lead to significant geopolitical tensions. Ukraine, a sovereign state, is at the heart of this global tension. It has the right to decide what is best for its people and to choose its own path of development. However, in our globalized world, every action can have far-reaching consequences, much like the "butterfly effect." Ukraine must consider the interests of its former partners and modern neighbors to navigate this complex landscape. At this critical juncture, Ukraine must reflect on its choices, asking itself: "What did we overlook?" The country's decisions are pivotal, not only for its future but also for global stability. Every move in this geopolitical chess game has the potential to alter the balance of power, making Ukraine's choices crucial in shaping the outcome of this new era of global relations.

Outcomes of donation after circulatory death (DCD) and ex-vivo lung perfusion (EVLP) lung transplantation

BackgroundDonation after circulatory death (DCD) and ex-vivo lung perfusion (EVLP) have been adopted to expand the donor pool in lung transplantation, but outcomes data have been conflicting. This study explores mid-term outcomes of DCD lung transplantation in the modern era, with a focus on EVLP and risk factors for graft failure. MethodsThe United Network for Organ Sharing (UNOS) database was queried for adult lung transplants from 1/1/2015 to 3/1/2023. Loss to follow-up, multiorgan and prior lung transplants were excluded. DCD vs DBD (donation after brain death) lung transplants were compared, with subgroup analysis +/- EVLP. Outcomes were survival and postoperative complications. Overall survival was analyzed separately for an early era (2015-2018) and modern era (2019-2023). ResultsThe study included 1103 DCD (221 with EVLP, and 882 without) and 17973 donation after brain death (DBD) lung transplants (524 with EVLP, and 17449 without). Median follow-up was 3 years. DCD donors were less likely to be CDC high risk (19.3% vs 24.1%, p<0.001), have purulence on bronchoscopy (13.3% vs 18.3%, p<0.001) or infiltrates on chest x-ray (66.7% vs 67.8%, p=0.013). EVLP was more likely to be used for DCD transplants (20.0% vs 2.9%, p<0.001).After transplant, DCD recipients were more likely to be reintubated (24.3% vs 18.5%, p<0.001) and require ECMO within 72 hours (14.9% vs 7.8%, p<0.001), and DCD donation was an independent risk factor for these complications on multivariable logistic regression. Overall survival did not differ significantly between DCD and DBD transplants on adjusted survival analysis in the early or modern era (p=0.774 and p=0.468 respectively). On multivariable Cox regression, DCD and EVLP were not independent risk factors for mortality.On subgroup analysis, the DCD+EVLP cohort had significantly worse survival in the modern era, which remained significant after adjusting for donor and recipient factors (p=0.005). EVLP was an independent risk factor for graft failure in the DCD cohort (HR 1.33, 95% CI 1.00-1.77, p=0.047), but did not significantly affect DBD graft survival (p=0.870). Risk factors for graft failure and mortality in the DCD+EVLP cohort included pulmonary hypertension (HR 77.5, 95% CI 6.15-979, p<0.001), transfusion prior to transplant (HR 2.60, 95% CI 1.07-6.31, p=0.035), elevated creatinine (HR 2.82, 95% CI 1.34-5.90, p=0.006), and higher allocation score (HR 1.02, 95% CI 1.00-1.04, p=0.017) ConclusionStudy findings suggest increased risks of mortality and perioperative complications following transplantation with DCD lungs that have undergone EVLP. DCD lung transplantation without EVLP confers equivalent survival but with some increase in perioperative complications. Further investigation and careful recipient selection is warranted to optimize the use of these extended criteria donors in the modern era.

HOLISTIC EDUCATION IN THE EUROPEAN SOCIO-CULTURAL SPACE IN THE EARLY MODERN PERIOD

The article presents a historical-pedagogical analysis of the content and development of the humanistic idea of holistic education in the European socio-cultural space during the Early Modern Period. It traces the value-based interpretations of the idea of holistic education within both secular (Renaissance humanism) and religious (Christian humanism) worldviews of the early modern era. The study reveals that the concept of holistic education was formulated within the philosophical and cultural discourse of Renaissance humanism. It is noted that the Renaissance ideal of holistic education was based on three key components: first, the virtues of broad erudition, intellectual culture, and the art of rhetoric; second, moral principles focused on the ideals of goodness, virtue, modesty, and personal inner culture, as well as Christian priorities of love and compassion; third, the recognition of the individual as the highest value, grounded in the dignity and rights of the person, and the idea of comprehensive and harmonious development of one’s abilities and talents. This also includes the Renaissance virtues of active engagement, initiative, industriousness, persistence, and the appreciation of physical beauty and courage. It is shown that the institutionalization of the idea of holistic education was carried out through the educational activities of Protestant gymnasiums, Jesuit colleges, brotherhood schools, and other educational institutions founded in the context of Protestant Reformation, Catholic Reformation, and religious reforms in the East Slavic lands. The article outlines the civilizational and human-creative significance of the concept of holistic education for the formation of modern European civilization.

Adapting Western management practices: the rationalization and Taylorization of Turkish state monopolies in early republican Turkey (1933–1950)

PurposeThis paper aims to investigate the introduction of rationalist concepts through Taylorization to Turkey during the early republican era, using Wallace Clark’s case of the Turkish State Monopolies.Design/methodology/approachThe study uses a historical narrative approach to explore the roles of foreign experts in the transfer of rationalist and Taylorist ideas to Turkish State Monopolies (Inhisarlar Idaresi).FindingsThis study illuminates the introduction and adoption of Taylorist principles in early republican Turkey through multiple lenses. First, it underscores the era’s fervent drive for rapid modernization, rooted in emulation of Western models perceived as progressive. Second, using a historical narrative approach, this research highlights the pivotal role of foreign expertise in catalyzing and formalizing rationalization efforts.Originality/valueThis study makes a unique and meaningful contribution to the history of management in terms of demonstrating the international influence of the Scientific Management Movement through the neglected case of Turkey.

How Did Early Modern Scholars Study Early Maps?

The two standard Anglophone historiographies of the history of cartography (Skelton 1972, Harley 1987) situated the field’s origins in the early modern era, or even in the later Middle Ages. Yet “history” and “cartography” are both products of the profound changes in the intellectual foundations and institutions of European knowledge practices in the decades to either side of 1800. By contrast, this essay explores how early modern scholars variously engaged with maps from the past in terms of contemporary knowledge practices. [Part 1] It first outlines the early modern meanings of “history” and “geography” and then reviews how early modern scholars engaged with early maps in three distinct ways. Classical scholars used the Peutinger map and Ptolemy’s Geography to identify locations of ancient places in order to improve their comprehension of Classical texts. [Part 2] Some geographers wrote histories of voyages and travels that related past routes to contemporary maps, and others wrote historical narratives of the compilation of encyclopedic texts and maps of regional and world knowledge. [Part 3] Antiquaries opportunistically described and at times reproduced a variety of maps, charts, and plans that came to their attention, but without active searches for early maps. Overall, I demonstrate that before 1775 there was neither a systematic approach taken to the study of maps from the past nor any hint of the core methodology that would be adopted by the first historiographical mode of map history as it developed after 1830.

A descriptive overview of English-language publications in the field of Astronomy Education Research, 1898 to 2022

Discipline-based education research (DBER) takes the theories and methodologies of education research and applies them in the context of a specific discipline, in this example, astronomy. Research in the teaching and learning of astronomy has an extensive history; astronomy education research (AER), as its own separately defined field, is relatively new, stemming from the early to mid-1990s, as a separate track from physics education research (PER). By using a mixed-methods approach to textual analysis considering 2085 English language publications in the field, an order of magnitude larger than the previous largest overviews of the field, this study paints a rich picture of the landscape of AER over the timespan of a century from 1898 to 2022. This paper finds that AER authors started regularly publishing around 1970 and took off significantly in the 1990s with journal articles (~50%) and conference proceedings (~30%) being the most common method of publication. AER, in its early era, was largely a USA endeavour dominated by ASTRO101. This has changed over time and in recent years, the USA has dropped below 50\% of the worldwide AER publication production. “Celestial Motion”, “Instrumentation/Techniques”, and “Planetary Sciences (not Exoplanets)” are the most common content foci while a significant lack of local galactic and extragalactic education research is identified. AER has been heavily focussed on “Content Knowledge”, “Affective”, and “Engagement”. It is found that most articles tend to be general reporting of approaches or results (~43%) rather than full empirical research (~36%) while there is very little theoretical or historical research in AER yet. This overview, based on results input to an online database (istardb.org), provides a resource to researchers, educators, and other interested stakeholders allowing efficient ascertainment of previous research. This supports both researchers, allowing them to develop research questions at the cutting edge of the field, as well as practitioners, to inform their pragmatic approach based on latest research findings. We also present a set of recommendations and future outlook of the field of Astronomy Education Research.

Making the Modern Turkish Citizen: Vernacular Photography in the Early Republican Era

Making the Modern Turkish Citizen: Vernacular Photography in the Early Republican Era

Sampling Error Analysis in Quantum Krylov Subspace Diagonalization

Quantum Krylov subspace diagonalization (QKSD) is an emerging method used in place of quantum phase estimation in the early fault-tolerant era, where limited quantum circuit depth is available. In contrast to the classical Krylov subspace diagonalization (KSD) or the Lanczos method, QKSD exploits the quantum computer to efficiently estimate the eigenvalues of large-size Hamiltonians through a faster Krylov projection. However, unlike classical KSD, which is solely concerned with machine precision, QKSD is inherently accompanied by errors originating from a finite number of samples. Moreover, due to difficulty establishing an artificial orthogonal basis, ill-conditioning problems are often encountered, rendering the solution vulnerable to noise. In this work, we present a nonasymptotic theoretical framework to assess the relationship between sampling noise and its effects on eigenvalues. We also propose an optimal solution to cope with large condition numbers by eliminating the ill-conditioned bases. Numerical simulations of the one-dimensional Hubbard model demonstrate that the error bound of finite samplings accurately predicts the experimental errors in well-conditioned regions.

International governance of advancing artificial intelligence

AbstractNew technologies with military applications may demand new modes of governance. In this article, we develop a taxonomy of technology governance forms, outline their strengths, and red-team their weaknesses. In particular, we consider the challenges and opportunities posed by advancing artificial intelligence, which is likely to have substantial dual-use properties. We conclude that subnational governance, though prevalent and mitigating some risks, is insufficient when the individual rewards from societally harmful actions outweigh normative sanctions, as is likely to be the case with AI. Nationally enforced standards are promising ways to govern AI deployment, but they are less viable in the “race-to-the-bottom” environments that are becoming common. When it comes to powerful technologies with military implications, there is only one multilateral option with a strong historical precedent: a non-proliferation plus norms-of-use regime, which we call NPT+. We believe that a non-proliferation regime may, therefore, be the necessary foundation for AI governance. However, AI may exhibit characteristics that would make a non-proliferation regime less effective than it has proven for nuclear weapons. As an alternative, verification-backed restrictions on AI development and use would address more risks, but they face challenges in the case of advanced AI, and we show how these challenges may not have technical solutions. Perhaps more importantly, we show that there is no clear example of major powers restricting the development of a powerful military technology when that technology lacks a ready substitute. We, therefore, turn to a final alternative, International Monopoly, which was the preferred solution of many scholars and policymakers in the early nuclear era. It should be considered again for governing AI: a monopoly would require less-invasive monitoring, though at the possible cost of eroding national sovereignty. Ultimately, we conclude that it is too soon to tell whether a non-proliferation regime, a verification-based regime, or an International Monopoly is most feasible for governing AI. Nonetheless, a variety of policies would yield a high return across all three scenarios, and we conclude by identifying some of these steps that could be taken today.

The Greatest Name of God: ʿAlī ibn Abī Ṭālib as a cosmic image in Rajab al-Bursī's Mashāriq al-anwār

Abstract ʿAlī ibn Abī Ṭālib (d. 40/661)—a revered figure in Islamic history as both the first Shiʿi imam and the fourth caliph—serves as a significant image of sacral power in the Persianate world and beyond. ʿAlī's authority underwent a profound reimagining in the early modern era as he emerged as a captivating imperial emblem from the Timurid renaissance to the Safavid revolution, rivalling other prominent figures of political authority such as Chinggis Khan (d. 1227), and becoming a symbol of human perfection for both Sunni and Shiʿi intellectuals alike. ʿAlī transcended his role as a Shiʿi imam to assume the status of a cosmic figure, gradually becoming an ideal symbol for imperial branding. However, there is little scholarly knowledge and appreciation of his changing role in this period. This article examines how al-Ḥāfiẓ Rajab al-Bursī's (d. circa 814/1411) Mashāriq al-anwār, which has remained highly popular throughout the Persianate and Shiʿi world, contributed to the reshaping of ʿAlī's image, portraying him as the quintessential archetype of sacral power and unmatched authoritative feats.

A New(s) Copyright Balancing Act: How American Journalism Institutions Approached the Early Era of Artificial Intelligence and Fair Use

ABSTRACT Given the significant investment needed to gather the news, American journalism institutions have historically sought to protect their copyrights. The legal principle of fair use interplays with the ability of users to reshape portions of cultural products to make transformative works. As Large Language Models that empower Artificial Intelligence platforms can be built upon news artifacts, copyright considerations have, to date, evolved faster than legal and regulatory frameworks can respond. Examining public comments submitted to the U.S. Copyright Office in 2023, this study provides a historical snapshot of how copyright was conceptualized by American journalism institutions in the earliest era of AI adoption within newsrooms. This study finds that this set of journalism institutions largely endorsed licensing arrangements for the legal (re)use of journalistic works. At the same time, as viewed through the lens of metajournalistic discourse, the comments provided another public forum for journalism institutions to publicly debate and define the boundaries of the news profession itself.

End-to-end complexity for simulating the Schwinger model on quantum computers

The Schwinger model is one of the simplest gauge theories. It is known that a topological term of the model leads to the infamous sign problem in the classical Monte Carlo method. In contrast to this, recently, quantum computing in Hamiltonian formalism has gained attention. In this work, we estimate the resources needed for quantum computers to compute physical quantities that are challenging to compute on classical computers. Specifically, we propose an efficient implementation of block-encoding of the Schwinger model Hamiltonian. Considering the structure of the Hamiltonian, this block-encoding with a normalization factor of O(N3) can be implemented using O(N+log2&amp;#x2061;(N/&amp;#x03B5;)) T gates. As an end-to-end application, we compute the vacuum persistence amplitude. As a result, we found that for a system size N=128 and an additive error &amp;#x03B5;=0.01, with an evolution time t and a lattice spacing a satisfying t/2a=10, the vacuum persistence amplitude can be calculated using about 1013 T gates. Our results provide insights into predictions about the performance of quantum computers in the FTQC and early FTQC era, clarifying the challenges in solving meaningful problems within a realistic timeframe.

Quantum and classical properties of the universe according to unimodular quantum cosmology

Abstract We investigate the dynamical behaviour of wavepacket solutions due to unimodular quantum cosmology. We find early and late time quantum eras of the universe.&amp;#xD;An Ehrenfest theorem ensures quasi-classical behaviour for the late time universe if the quantum uncertainties are small. The surprising prediction of late time quantum effects for a flat, homogeneous and isotropic universe with a scalar field with an exponential potential is obtained by the analysis of the uncertainty dynamics using the results of the corresponding classical dynamical system. Furthermore quantum correction terms to the Hubble parameter and the matter density are derived. A positive matter expectation value for the de-Sitter universe raises the question if correction terms due to quantum gravity could contribute to solve the dark matter problem.

Diversity of Siderian magmatic pulses revealed by intracrustal melting of oceanic crust in the Mineiro Belt, southern São Francisco Craton

The early Paleoproterozoic Era has been largely recognized as a period of global magmatic slowdown (∼2.3–2.2 Ga). The Lagoa Dourada Suite, located in the Mineiro Belt – southern São Francisco Craton - Brazil, is a juvenile high‑aluminum 2350 Ma TTG suite and spatially associated with a network of dykes that received little attention in the literature. Based on field features, petrography, whole-rock geochemistry, U-Th-Pb, and Hf isotopes in zircons, we propose that these dykes represent three different magmatic pulses produced via intracrustal melting of oceanic crust. Pulse 1 (<2347 Ma) is syn-plutonic with low-SiO2, high-Mg# and HREE, moderate [La/Yb]N, and low Ba+Sr contents. Pulse 2 (ca. <2330 Ma) shows high-SiO2, low-Mg# and HREE, moderate [La/Yb]N, and high Ba+Sr. Pulse 3 (ca. <2325 Ma) has intermediate-SiO2, low-Mg#, high HREE, moderate to high [La/Yb]N, and high Ba+Sr values. Their Hf compositions are broadly similar to those of the host rock, with positive εHf(t) values and the Hf-TDM model ages ranging from 2.65 to 2.46 Ga, attesting to their juvenile nature. These characteristics, coupled with their homogeneous Hf signature (176Hf/177Hf = 0.281382 to 0.281481), suggest that all these magmatic pulses came from a similar source. However, the whole-rock chemical diversity of the dykes and host rock suggests chemical heterogeneities within this source rock and/or the different magmatic pulses were generated by variable degrees of partial melting of a tholeiitic metabasaltic source throughout approximately 25 Ma. These findings reveal a wide compositional diversity of magmas that gave rise to a network of dykes crosscutting the Lagoa Dourada Suite and, consequently, to the framework of a juvenile continental crust on the southern margin of the São Francisco Craton. Furthermore, these rocks constitute a singular example of juvenile magmatism and contribute to a better understanding of the tectono-magmatic lull and potential petrological processes during this period.

THE APPRECIATION FOR THE POETS AND LITERARY WORKS OF ARABIC POETRY IN THE EARLY ISLAMIC ERA

This article aims to provide an answer to the accusations of those who accuse that Islam absolutely prohibits the chanting of literary works, especially Arabic poems, based on a misunderstanding of the Qur'anic verses 224-227 of Surah Assyu'aro, in addition to explaining how the development of Arabic poems in the early era of Islam and the attention given by the Prophet Muhammad (PBUH) to Arab poets in the Islamic Era. The research contributes by clarifying misconceptions about the prohibition of poetry in Islam. The study provides a nuanced understanding of the role and acceptance of poems in early Islamic culture. This would include studying how their preferences and criticisms, particularly those related to poets like Zuhair bin Abi Sulma, influenced the literary landscape and aligned with the broader goals of Islamic governance and da'wah.

The balance of sea power in the early modern era: The Anglo-Dutch Wars (1652–1674)

The balance of power is among the foundational principles in international relations. This principle, however, has been analysed mostly in relation to land powers on the European continent, while the historiography has failed to appropriately recognize its naval aspect so far. This article compares the English and Dutch sea powers or fleets during the three Anglo-Dutch Wars (1652–1674). Warships or ships of the line were the main instruments of naval warfare, and hence key to any measurements of sea power. Detailed tables of the fleets with the number of warships and guns for the major engagements show the balance of sea power at the time. Attaining and maintaining the balance of (sea) power in the early modern era was not just an abstract idea, but also an interactive process, based on numerical analysis. The author argues that there was a real or naval balance of sea power between the fleets or alliances of fleets; that the balance of sea power was acknowledged in the international alliance treaties; and that the balance of sea power became an element of early modern political discourse.