The Temporal–Density Framework is built on a single invariant linear constraint whose preservation across volumetric freedom gives rise to geometry, fields, matter structure, and cosmological dynamics. The works below present the framework in its full progression: from the primitive invariant, to particle formation, and finally to the large-scale dynamics of the universe.
Volume 0
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Axiomatic Geometry from a Single Constraint
Derives volumetric geometry, gravitational coupling, and electromagnetic structure directly from a single one-dimensional invariant. Introduces the isotropic tension field, radial and shear projections, the triadic horizon, and the identity α c λ = 1 as the structural expression of invariant preservation. This paper provides the ontological ground upon which all volumes are built.
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Volumes I–III
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Volume I — Dimensionless Unification and Empirical Predictions
Establishes the dimensionless triad α c λ = 1 and shows how gravitational, electromagnetic, and quantum behaviours emerge as projections of a single isotropic tension field. Provides explicit empirical predictions grounded in the invariant.
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Volume II — Unified Origins of Matter, Dark Matter, and Horizon Geometry
Develops the SU(3) → SU(2) → U(1) gauge cascade as an admissibility-ordered geometric hierarchy of the temporal medium. Matter, dark matter, atomic structure, and horizon geometry are identified as distinct coherence outcomes under invariant constraint, without invoking dynamical formation or additional fields.
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Volume III — Geometric Entropy and the Origin of Cosmic Structure
Extends the Temporal–Density Framework to galactic and cosmological scales. Demonstrates how asymmetry between longitudinal tension and admissible redistribution produces geometric entropy gradients governing galactic morphology, rotation curves, large–scale structure, CMB coherence, and apparent cosmic acceleration. All results follow from invariant propagation within a globally flat temporal landscape, without invoking dark–energy components or additional cosmological postulates.
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