Daresbury Laboratory

From developer to microscopist: Improving the accessibility of volume electron microscopy software

Abstract To maximise insight from today's high throughput microscopy experiments, it is essential for a microscopist to familiarise themselves with the latest analysis software and undertake appropriate training. This can be challenging, however, due to the rapid development of s...

Approximate additivity in the solvent-mediated potential of mean force for ultrasoft particle systems

Recently, an approximate additivity principle has been successfully applied to molecular chemical potentials in ultrasoft particle systems [Hendrikse et al., Phys. Chem. Chem. Phys. 27, 1554 (2025)]. We articulate this additivity principle as one of two Ansätze and apply these to...

A Solution to the Hodge Conjecture via K 11 Network Matrices and ZIP-Helmholtz Operators in Big Boot Gauge Theory

This paper presents a formal resolution framework for the Hodge Conjecture by integrating the Big Boot Gauge Theory (BBGT) with a discrete K_11complete graph matrix topology. By embedding complex projective varieties into octonionic ZIP space (OZIP) and implementing the ZIP-Helmh...

A Solution to the Birch and Swinnerton-Dyer Conjecture via K 11 Network Matrices and ZIP-Helmholtz Operators in Big Boot Gauge Theory

This paper presents a formal resolution framework for the Birch and Swinnerton-Dyer(BSD) Conjecture by mapping the arithmetic and analytic properties of an elliptic curve ontothe adjacency matrix of a discrete K11 complete graph network within the Big Boot GaugeTheory (BBGT). By...

A Solution to the Hodge Conjecture via K 11 Network Matrices in Big Boot Gauge Theory

This paper presents a formal resolution framework for the Hodge Conjecture by integrating Matthias Asare-Darko’s Big Boot Gauge Theory (BBGT) with a discrete K11complete graph matrix topology. By embedding complex projective varieties into octonionic ZIP space (OZIP) under the ba...

A Solution to the Birch and Swinnerton-Dyer Conjecture via K 11 Network Matrices and ZIP-Helmholtz Operators in Big Boot Gauge Theory

This paper presents a formal resolution framework for the Birch and Swinnerton-Dyer(BSD) Conjecture by mapping the arithmetic and analytic properties of an elliptic curve ontothe adjacency matrix of a discrete K11 complete graph network within the Big Boot GaugeTheory (BBGT). By...

Identification of a nanosecond isomer of $$^{164}$$Tb

Abstract This letter reports on the identification of a new isomeric state of $$^{164}$$ 164 Tb ( $$Z=65$$ Z = 65 , $$N=99$$ N = 99 ), which was measured with the DESPEC setup at the GSI Helmholtzzentrum für Schwerionenforschung GmbH following the first relativistic fragmentation...

Structural dynamics during the three-ion Coulomb explosion of highly charged CS2 in intense soft x-ray pulses

Using intense femtosecond soft x-ray pulses above the sulfur 2p edge produced by the Free-electron LASer in Hamburg (FLASH), we investigate the multiple ionization and fragmentation dynamics of CS2. We focus on the three-ion fragmentation pathways of CS2 polycations with total ch...

Unified Big Boot Gauge Theory (BBGT): Macro-Action Quantization (h_n = 2^nh_z ), Non-Associative OZIP Geometries, and N-Fold Topological Locking Across Cosmic Scales

Standard General Relativity (GR) and Quantum Mechanics (QM) remain fundamentallyun-reconciled due to the omission of non-associative topological boundary constraints, singular division limits, and force-hierarchy scaling. In this paper, we formalize the completeBig Boot Gauge The...

The Macroscale Quantum Wave Equation: Transitive Logical Derivation of Non-Associative Macro-State Evolution in Big Boot Gauge Theory (BBGT)

{"Microscopic quantum dynamics is governed by the linear Schrodinger and Dirac equationsscaled by Planck’s constant (ℏ). However, continuous spacetime assumptions break downwhen attempting to describe macroscopic, topologically locked celestial systems without coordinate singular...

Full Darkon-Euler-Lagrange Equations of Motion and Field Dynamics of the Darkon-Allotey Macro-Wave Formalism in Big Boot Gauge Theory

We present a complete variational field theory derivation of the Euler-Lagrange Equationsof Motion (EoM) governing the Darkon-Allotey Macro-Wave Quantum Mechanics framework within Big Boot Gauge Theory (BBGT). By explicitly varying the non-associative Lagrangian density L_ZIP def...

Topological Entanglement Capacitance and Meson Mass Spectrum Formalism

Extending the Topological Entanglement Capacitance (TEC) and Big Boot Gauge Theory(BBGT) framework from SU(2)f to SU(3)f, the pseudo-scalar meson octet (π, K, η) mapsonto an expanded 6-node reduced interaction graph V octet= {u, u, d, ¯ d, s, ¯ s¯}.The valence strange quark intro...

Health-Related Quality of Life of Patients with Epidermolysis bullosa and Carers Using a Time Trade-Off Approach in the UK General Population to Elicit Utilities for Health Technology Assessment

Background: Epidermolysis bullosa (EB) is a complex group of rare, inherited skin disorders that blister easily, imposing substantial burden on patients and carers. There is a lack of published evidence in the UK quantifying health-related quality of life in EB patients and carer...

Darkon-Yang-Mills Theory and the Mathematical Proof of the Yang-Mills Mass Gap (∆ > 0)

We present a rigorous proof of the Yang-Mills Existence and Mass Gap Problem establishedby the Clay Mathematics Institute using Big Boot Gauge Theory (BBGT) and its DarkonYang-Mills (DYM) non-associative geometric framework. Standard classical non-abelian gauge theories on R^4 po...