— Commutation-Discriminant Quaternionic Spacetime (CDQS) — A Unified, Algebraic Reconstruction of Spacetime, Quantum Theory, Gauge Dynamics, Gravitation, and Cosmology—Without Cosmological Constants or Particle Dark Matter (Treatise, v1)

Abstract

Commutation-Discriminant Quaternionic Spacetime (CDQS) is a proposed algebraic reconstruction and unification of spacetime, quantum theory, gauge dynamics, gravitation, and cosmology via quaternionic energy conservation and a common Clifford transport structure. Rather than taking spacetime geometry, complex quantum structure, gauge groups, particle content, and time evolution as independent primitives, CDQS investigates whether these structures emerge as coherent branches of a deeper ordered transport algebra. The theory begins from a parent quaternionic carrier with a dynamically selected complex structure, spectral organization, and finite physical support. Coherent reconstruction produces localization, four-dimensional spacetime, Lorentzian causality, gauge sectors, particle excitations, and observer-time dynamics. Universal Economy provides the physical selection principle distinguishing mathematically refinable structures from finitely realized causal support, while retaining virtual response and continuum descriptions where they remain physically meaningful. Quaternionic Spectral-Defect Particle Physics (QSDP2) contains native particle-physics subtheories, including Quantum Spectral Dynamics (QSD), the native color sector, and Spectral Electrodynamics (SED), the native electromagnetic sector. QSD develops the color-shell structure underlying conventional quantum chromodynamics (QCD) as an observable equivalence regime, while SED reconstructs electromagnetic transport, dressed charged states, and finite-resolution electromagnetic behavior from the same parent framework. This treatise develops finite-carrier authority methods for extracting physical response from the parent structure, including mixed sector response operators, Euclidean physical Hessians, causal response kernels, noise structure, determinant-phase response, physical quotient reduction, and exact Schur-complement elimination of auxiliary sectors. These constructions provide a theory-wide framework connecting gravity, particle sectors, thermodynamics, cosmology, defects, holographic response, and black-hole transport through shared parent coefficients and response operators. Several empirical and computational programs are developed within this framework. These include a nonparticulate galactic response model, observer-time cosmology, anomalous baryogenesis, finite-resolution QSD studies, signed causal electrodynamics, spectral boundary response, and experimental closure programs distinguishing QSD-native effects from conventional particle-physics descriptions. Current results include a frozen galaxy-response comparison program, controlled cosmological likelihood studies, finite QSD algebraic and confinement-oriented evidence, and explicitly defined authority and falsification criteria. The theory distinguishes exact identities, conditional theorems, computed results, empirical comparisons, and open physical closures. Remaining objectives include active-parent equivalence of finite carriers, numerical evaluation of parent authority coefficients, complete causal response kernels, physical spectrum and state determination, global nonlinear solutions, and independent cross-sector experimental tests. All academic and collaborative inquiries should be directed to algebraic.curvature {at} protonmail.ch . If you feel your work hasn't been adequately cited, then a simple email might be able to rectify that. 7A40782AED1FD354C5738EAB1E7096B010BA0ED4E65D55DAA16DC11029D34AB3BADBA5C268C8F7672A7CEF19DC1A91E7D00AB400605E3E2F613C85F794A86700 Later versions will contain HMC/Gaussian software products and technical memoranda enabling observable reproduction of the strong, electroweak, electrodynamic, and recombination sectors. This software is still under highly active development. A revision history is now included for content tracking between this and pervious versions.