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Book . 2026
License: CC BY
Data sources: Datacite
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DSM

Authors: Timo Engel;
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.

Keywords

gravitational wave echoes, General Relativity and Quantum Cosmology (gr-qc), extra dimensions, fine structure constant derivation, neutrino mass, warped compactification, parameter-free physics, T2/Z3 orbifold, Randall-Sundrum model, unified field theory, Green-Schwarz mechanism, AdS5 geometry, falsifiable predictions, leptogenesis, cosmological constant, Dedekind eta function, electroweak symmetry breaking, hierarchy problem, Kaluza-Klein theory, modular forms, Mathematical Physics (math-ph), High Energy Physics - Theory (hep-th), dark energy equation of state, fermion generations, Dimensional Substrate Model, Kaluza-Klein, dark matter candidates, anomaly cancellation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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