Hilbert Lattice Equations

There are five known classes of lattice equations that hold in every infinite dimensional Hilbert space underlying quantum systems: generalised orthoarguesian, Mayet's E_A, Godowski, Mayet-Godowski, and Mayet's E equations. We obtain a result which opens a possibility that the first two classes coincide. We devise new algorithms to generate Mayet-Godowski equations that allow us to prove that the fourth class properly includes the third. An open problem related to the last class is answered. Finally, we show some new results on the Godowski lattices characterising the third class of equations.Comment: 24 pages, 3 figure

A spatially-VSL gravity model with 1-PN limit of GRT

A scalar gravity model is developed according the 'geometric conventionalist' approach introduced by Poincare (Einstein 1921, Poincare 1905, Reichenbach 1957, Gruenbaum1973). In principle this approach allows an alternative interpretation and formulation of General Relativity Theory (GRT), with distinct i) physical congruence standard, and ii) gravitation dynamics according Hamilton-Lagrange mechanics, while iii) retaining empirical indistinguishability with GRT. In this scalar model the congruence standards have been expressed as gravitationally modified Lorentz Transformations (Broekaert 2002). The first type of these transformations relate quantities observed by gravitationally 'affected' (natural geometry) and 'unaffected' (coordinate geometry) observers and explicitly reveal a spatially variable speed of light (VSL). The second type shunts the unaffected perspective and relates affected observers, recovering i) the invariance of the locally observed velocity of light, and ii) the local Minkowski metric (Broekaert 2003). In the case of a static gravitation field the model retrieves the phenomenology implied by the Schwarzschild metric. The case with proper source kinematics is now described by introduction of a 'sweep velocity' field w: The model then provides a hamiltonian description for particles and photons in full accordance with the first Post-Newtonian approximation of GRT (Weinberg 1972, Will 1993).Comment: v1: 11 pages, GR17 conf. paper, Dublin 2004, v2: WEP issue solved, section on acceleration transformation added, text improved, more references, same results, v3: typos removed, footnotes, added and references updated, v4: appendix added, improved tex

Repeated successful surgical rescues of early and delayed multiple ruptures of ventricular septum, right ventricle and aneurysmal left ventricle following massive biventricular infarction

A 58 year old man underwent 6 surgical interventions for various complications of massive biventricular myocardial infarction over a period of 2 years following acute occlusion of a possibly "hyperdominant" left anterior descending coronary artery. These included concomitant repair of apicoanterior post-infarction VSD and right ventricular free wall rupture, repeat repair of recurrent VSD following inferoposterior extension of VSD in the infarcted septum 5 weeks later, repair of delayed right ventricular free wall rupture 4 weeks subsequently, repair of a bleeding left ventricular aneurysm eroding through left chest wall 16 months thereafter, repair of right upper lobe lung tear causing massive anterior mediastinal haemorrhage, mimicking yet another cardiac rupture, 2 months later, followed, at the same admission, 2 weeks later, by sternal reconstruction for dehisced and infected sternum using pedicled myocutaneous latissimus dorsi flap. 5 years after the latissimus myoplasty, the patient remains in NYHA class 1 and is leading a normal life

Baseline characteristics of atopic eczema patients enrolled in seven European registries united in the TREatment of ATopic eczema (TREAT) registry taskforce

\ua9 2025 The Author(s). Journal of the European Academy of Dermatology and Venereology published by John Wiley & Sons Ltd on behalf of European Academy of Dermatology and Venereology. Background: The TREAT Registry Taskforce is a collaborative effort of international registries aiming to provide real-world data on the long-term efficacy, cost-effectiveness and safety of systemic treatments and phototherapy for atopic eczema (AE). Objectives: This study seeks to present a comprehensive overview of the demographics, prior systemic treatments, clinical characteristics and disease severity and burden at baseline among patients enrolled in seven TREAT registries. Moreover, the aim is to gain insight into the differences between the registries and to explore the current prescribing practices of various therapies for patients with AE across Europe. Methods: Data from June 2016 to 31 October 2022, were collected from seven observational cohorts: A-STAR (UK/Ireland), AtopyReg (Italy), Biobadatop (Spain), SCRATCH (Denmark), SwedAD (Sweden), TREATgermany (Germany) and TREAT NL/BE (Netherlands/Belgium). Results: The analysis included 5337 patients, with a mean age of 39.1 years (6.3% paediatric, 54.4% male). Of these, 84.1% had previously received systemic treatments, primarily systemic corticosteroids (58.8%) and ciclosporin (39.0%), while 30.1% had undergone phototherapy. At enrolment, dupilumab was the most prescribed treatment (75.0%), followed by ciclosporin (7.8%) and Janus Kinase inhibitors (5.9%); only 1.7% started phototherapy. Baseline assessments showed that most patients had moderate (41.9%) to severe (30.1%) AE, with an average Eczema Area and Severity Index (EASI) score of 17.6. The Patient-Oriented Eczema Measure (POEM) score averaged 17.2, indicating severe disease impact. The Dermatology Life Quality Index (DLQI) score averaged 13.4, and the Numerical Rating Scale (NRS) for itch was 6.4. Conclusions: This pooled analysis from the TREAT Registry Taskforce highlights the variability and similarities in data collection across national registries, providing significant insights into the baseline characteristics of the patient population. It establishes a robust foundation for future analyses of key effectiveness and safety outcomes

[A chest tube can be inserted safely utilizing standard technique. Minithoracotomy should not be performed routinely]

The National Swedish Board of Health and Welfare has concluded that a minithoracotomy should be used for the insertion of a chest tube. Our opinion is that a less than 2 cm skin incision followed by blunt dissection through the chest wall is equally safe provided that the anatomical landmarks of the safe triangle are identified and the lung is not adherent to the chest wall. A prerequisite for safe treatment is an examination of the chest x-ray, supervision of chest tube function and the patient. Chest tube malfunction or complications should be managed urgently