optics

Scientific Data, Published online: 25 May 2026; doi:10.1038/s41597-026-07467-x High-fidelity super-resolution microscopy datasets spanning multispectral to hyperspectral domains via diffractive optics

Dynamic Boundaries as the Generative Structure of Reality proposes that distinguishability, rather than spacetime itself, is the primary condition underlying physical reality. Space and time emerge secondarily through continuously interacting dynamic boundaries that stabilize distinguishable structure against dissolution into continuity. Under this framework, quantum behavior, relativistic distor…

Polydronic M360ºQ Abstract This work introduces the M360ºQ architectural topology, an independent geometric framework where data state transitions are executed as unitary, non-dissipative inversions. Operating via a foundational sequence (Euler $\rightleftharpoons$ $\pi$ $\rightleftharpoons$ ITTI/TIIT $\rightleftharpoons$ $E = mci^2$ $\rightleftharpoons$ $E = E$), the system achieves structural p…

The fine-structure constant has been a mystery for over a century. It determinesthe strength of electromagnetic interactions, yet its value has never been derived from firstprinciples — until now. This document provides a complete, self-contained derivation. No physics beyond one-loopQED and the Rogers-Ramanujan continued fraction is required. Full Portfolio at: https://drive.google.com/drive/fol…

Title: A Topological Cosmology Hypothesis for Quantum Tunneling as Spatial Phase SynchronizationDescription: This preprint proposes a hypothesis that quantum tunneling can be interpreted as a local synchronization process between a particle state and the spatial phase field beyond a potential barrier. The model does not reject conventional quantum mechanics but attempts to reinterpret the tunneli…

We present a complete derivation of the Schrödinger equation from scale-extendedgeometry. The central claim is that quantum mechanics is not fundamental — it is thelow-energy effective theory obtained by projecting scale-extended dynamics onto theobservable slice ζ=0. The wavefunction Ψ(x,ζ,t) lives in an extended Hilbert space whereζ = ln(E/E0) is the logarithmic energy scale coordinate. The sca…

This paper provides complete longhand derivations of the three central mathematicalresults of the Koenig framework. Part I derives the present moment soliton: the uniquesolution d_eff(ζ) = 3 + tanh(γζ) connecting d=2 (UV) to d=4 (IR) through d=3 at ζ=0. Weprove it satisfies the logistic ODE, that ζ=0 is the point of maximum dimensionalvelocity, and that the arrow of time is the positivity of dd/d…

Nature Communications, Published online: 23 May 2026; doi:10.1038/s41467-026-73513-2 Nanocrystal superlattices typically occur in two- and three-dimensional configurations, constrained to the micrometer scale and with limited size tunability. Here, the authors assemble CsPbBr3 nanoplatelets into chiroptically active 1D helical superlattices with mm lengths and μm widths.

Nature Communications, Published online: 23 May 2026; doi:10.1038/s41467-026-73446-w Researchers realized the first truly chiral terahertz cavity with time-reversal-symmetry broken vacuum fields, with near-unity ellipticity at 0.66 THz and Q>50 under a 0.3 T field, offering a robust platform for chiral light–matter interactions.

[59 Structural — Bound-State Condition for Directed Emission] This paper addresses a question left open by Paper #52 (2026): what determines the direction of the ejected spin-2 photon-sphere fragment, and why does its emission not average to zero over many Zitterbewegung cycles? The decisive structural observation is that a free electron's ZB axis precesses deterministically by \(\Delta\phi = 2\p…

This paper develops, positions, and records the reproducibility boundary for the operational-transform layer of Sigma Transform Calculus. A bounded-variation clock σ determines a clock measure µσ and a canonical mass-coordinate selector ισ. The sigma transform of a signal is defined by selecting the signal into mass time and applying the ordinary Laplace kernel there. This converts clock-relative…

This paper constitutes the tenth formal study within the Pythagorean Frustum Unified Research Consortium (PFUSRC) theoretical system. Based on the 45° coaxial double-cone topology and universal closed dynamics, a complete axiomatic framework is established, including the universal philosophical axiom, the irreversible invariant formula, the valuation axiom, the generalized uncertainty principle, …

This short conceptual note explores the idea that physical reality is globally coherent but locally executed. Within the Communication Matrix framework, all physical evolution is interpreted as finite local propagation and constraint reconciliation rather than instantaneous global execution. The paper examines how emergence, probabilistic quantum behavior, relativistic locality, and stable causal…

This paper gives a unified conditional foundation for Algebraic Quantum Morphogenesis (AQM). The goal is to place legal algebraic expansions, K-maximizing path selection, and boundary spectral readout into a single auditable framework. Under the finite-dimensional complex C ∗ -algebra structure theorem, center preservation, minimal degrees of freedom, CPT-duality inheritance, and legal condensati…

Paper XVII gave a closed chain for the recovery of Lorentzian causal structure, ADM type spacetime readout, the Einstein-Hilbert main term, and the Einstein-equation form limit in the low-energy boundary regime. The present paper addresses a different but immediately subsequent question: what is the dynamical origin of the gravitational action, why do quadratic curvature corrections naturally app…

Thispaperestablishesthemainstatespaceandmaindynamicalframeworkof AQMasaquantumtheory.UnlikePaper2,whichtreatsonlymeasurementcenter splitting,thispaperstudieshowtheAQMuniversestateitselfevolveslegally.The AQMstateisdefnedasafve-tupleXau=(Aau,Hau,Dau,hoau,Pau),where AauisafnitenoncommutativeC∗-algebraoritslegalcondensationquotient,Dau isaself-adjointfniteorboundaryDiracoperator,hoauisapositivenorma…