DSM

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Authors: Timo Engel
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Abstract

Abstract (Technical)This book presents the Dimensional Substrate Model (DSM), a geometric framework in which observed four-dimensional physics is derived from the unique seven-dimensional substrate M7 = AdS5 x (T^2 / Z3).Uniqueness follows from simultaneous consistency requirements: orbifold chirality, anomaly cancellation, modular covariance, and warped-dimensional stability. The torus modulus is fixed to tau = e^(2pi i / 3), and the resulting modular data close the coupling chain without introducing continuous fit parameters.From this structure DSM derives a coupled prediction set: the generation count Ngen = 3 from orbifold fixed topology, electroweak hierarchy from the stabilized warp eigenvalue kL approx 37, and electromagnetic coupling with benchmark alpha^-1 = 137.036 through geometric and threshold matching terms. The same parameter block drives late-time cosmology through trans-brane transport, yielding dark-energy coefficients in the range w0 approx -0.73 and wa approx -1.03 on the DSM branch tested against current survey constraints.This book provides full derivation chains for geometry, action reduction, flavor structure, cosmology, and compact-object observables, including a dedicated falsifiability chapter with quantitative kill conditions. Gravitational-wave echo timing, precision coupling evolution, and future dark-energy constraints provide near- and medium-term tests. Because the framework has no continuous retuning freedom, confirmed failures in these test domains falsify the model rather than trigger parameter refits. This makes DSM predictive in the strict sense: geometric consistency fixes the theory space to one branch that is either validated by convergent measurements or excluded by data.

Fields of Study & Subjects

Black Holes and Theoretical Physics Particle physics theoretical and experimental studies Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
11 February 2026
Language
EN
Document type
Book