1 citations · 1 across the 20 of their papers we have counts for
24 papers
Uniqueness and reconstruction of reciprocal constitutive generators from equilibrium response maps
Jonathan Washburn, Megan Simons
We recover a shared constitutive generator from equilibrium locations on weighted graphs. For an even log-coordinate potential with positive curvature, the complete two-site…
From one generator to loop order on the three-cube
Jonathan Washburn, Milan Zlatanović
We study the monoid of based closed walks on the -skeleton of the three-dimensional cube . The fundamental group of this graph is the free group . We prov…
Molecular Transferability of a Noble-Gas Coordinate for Electronegativity Equalization
Megan Simons, Jonathan Washburn, Elshad Allahyarov
Charge-equilibration models predict how electrons redistribute over a molecule more cheaply than quantum chemistry, and each begins from a table of atomic electronegativities and h…
Tilt control of coverage heterogeneity for hard spherocylinders locked on a sphere
Jonathan Washburn, Hartmut Löwen, Elshad Allahyarov
We study hard spherocylinders on a sphere with axes rigidly locked to a tangential director field at fixed angle $\tilt$ to the meridian, necessarily singular at the poles. Three l…
Fixed-order postselected CHSH reference acquisition for parity-constrained spatial-mode qubits on a commercial cloud photonic processor
Emma Tully, Jonathan Washburn, Megan Simons
We report a fixed-order Clauser-Horne-Shimony-Holt (CHSH) acquisition and reporting protocol for two encoded photonic qubits on Quandela's commercial, cloud-accessible Belenos proc…
Reciprocal Cost on the Positive Rationals
Jonathan Washburn, Sebastian Pardo-Guerra, Milan Zlatanović
We study nonnegative solutions of the reciprocal cost law on the positive rationals and determine which of them admit regular extensions to the positive reals. Using the substituti…
Finite-Resolution Identifiability and Measurement Design for Molecular Conformer Spectroscopy
Megan Simons, Jonathan Washburn
Conformer assignment is meaningful only when the measurement can distinguish the candidate structures. We formulate conformer spectroscopy as a measurement-model-dependent identifi…
Golden and Metallic Structures on Hessian Manifolds
Jonathan Washburn, Milan Zlatanović
We consider the reciprocal cost function and its -dimensional extension $J(x_1,\ldots,x_n) = \frac12(R+R^{-1})-1, R=\prod\limits_{i=1}^n x_i^{α_i},…
Auditing Haldane Consistency in Reversible Enzyme Kinetics: A Curated Two-Sided Backbone and a Labeled Fold-Error Benchmark
Megan Simons, Jonathan Washburn
Reversible enzyme kinetic constants can be audited through the Haldane relation: the apparent equilibrium constant implied by the rate law should match biochemical thermodynamics u…
The -calculus: from distinction to arithmetic
Jonathan Washburn, Milan Zlatanović
Let denote the primitive act of distinction, formally realized as the one-step extension of a finite record. We prove that the -orbit is initial among -alge…
Characterization of nested Walsh parity-check filters in a single-photon eight-mode register on a cloud photonic processor
Emma Tully, Jonathan Washburn, Megan Simons
We characterize two nested Walsh parity-check filters implemented on Quandela's Belenos cloud photonic processor in a single-photon eight-mode spatial register. The modes are index…
Curvature-induced smectic-C order of tangentially anchored hard spherocylinders on a sphere with a rigidly locked director field
Jonathan Washburn, Hartmut Löwen, Elshad Allahyarov
We study the strict locked-orientation limit of hard spherocylinders on a sphere, in which the rod axes are rigidly locked to a prescribed tangential director field and cannot reor…
d'Alembert's Functional Equation and a Globally Convex Free-Action Principle on Positive Paths
Sebastian Pardo-Guerra, Jonathan Washburn
We study the kinetic action that d'Alembert's functional equation induces on positive paths in $\Rplus$, and prove it strongly convex. Calibrated d'Alembert forces the cosh cost $\…
A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties
Jonathan Washburn, Megan Simons
We study the finite-lattice statistical-mechanical model whose nearest-neighbor bond potential is the reciprocal cost , selected by the d'Alemb…
Multidimensional cost geometry
Jonathan Washburn, Milan Zlatanović, Philip Beltracchi
In this paper, we study the geometric structure induced by the canonical reciprocal cost function and its natural -dimensional extension. In logarithmic coordinates, the potenti…
A Finite-State Gibbs Construction from a Recognition Cost
Megan Simons, Jonathan Washburn
On a finite outcome space, the canonical Gibbs distribution is usually obtained by maximizing Shannon entropy at fixed mean of an externally supplied energy functional. This paper…
A Noble-Gas-Centered Coordinate for Within-Period Atomic Property Trends
Jonathan Washburn, Megan Simons, Elshad Allahyarov
We introduce a single dimensionless landscape function , , on the noble-gas-centred coordinate , and sho…
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs
Sebastian Pardo-Guerra, Anil Thapa, Jonathan Washburn
Let be a finite connected simple graph with a chosen orientation of its edges. For the edge potential we minimize over each affine c…
The d'Alembert Inevitability Theorem
Jonathan Washburn, Milan Zlatanović, Elshad Allahyarov
We study functions satisfying the composition law with a symmetric polynomial combiner . We prove that symmetry together with a quadratic degree boun…
Matching Rules as Cocycle Conditions: Discrete Potentials on Penrose and Canonical Projection Tilings
Sebastian Pardo-Guerra, Jonathan Washburn, Elshad Allahyarov
Aperiodic tilings support two classically studied but hitherto separately presented structures: matching rules, which enforce global order via local constraints, and height functio…
Reciprocal Convex Costs for Ratio Matching: Functional-Equation Characterization and Decision Geometry
Jonathan Washburn, Amir Rahnamai Barghi
We study ratio-induced mismatch costs of the form , built from positive scale maps and and a penalty $J:(0,\infty…
The Coercive Projection Theorem for Canonical Reciprocal Costs
Jonathan Washburn, Amir Rahnamai Barghi
We develop a finite-data framework for certifying \emph{zero-defect} (neutral) configurations of positive vectors under the canonical separable reciprocal cost. We show that this s…
Coherent Comparison as Information Cost: A Cost-First Ledger Framework for Discrete Dynamics
Sebastian Pardo-Guerra, Megan Simons, Anil Thapa +1
We develop an information-theoretic framework for discrete dynamics grounded in a comparison-cost functional on ratios. Given two quantities compared via their ratio \(x=a/b\), we…
A Complete Derivation of the Fermion Spectrum from the Recognition Composition Law
Jonathan Washburn, Elshad Allahyarov
We present a first-principles derivation of the masses of all twelve known fermions -- three charged leptons, six quarks, and three neutrinos -- and the fine-structure constant $α^…