The Core Invariant
The Temporal–Density Framework is built on the single relation α c λ = 1. This equation links:
- α — the temporal coupling constant
- λ — the universal linear-density constant
- c — the invariant propagation speed
Together these define a dimensionless substrate from which curvature, electromagnetism, gauge symmetries, particle structure, and horizon behaviour arise as projections of temporal dynamics.
Structure of the Framework
The three-volume series organises the entire theory:
- Volume I — Dimensionless Unification
Foundations, invariant derivation, impedance, temporal compression, and empirical predictions. - Volume II — Origins of Matter & Dark Matter
Gauge cascade SU(3) → SU(2) → U(1), particle structure, baryogenesis, dark-matter formation, and horizons. - Volume III — Entropy & Cosmic Structure
Global compression gradients, galaxy morphology, CMB coherence, and long-term cosmology.
The Temporal Triad
The core invariant unites geometry, reaction, and flow, across scales:
- Temporal Stiffness (γ) — governs curvature
- Temporal Impedance (Zt) — governs electromagnetism
- Temporal Coherence (η) — governs gauge-phase behaviour
All physical behaviour in TDFT reduces to scale-dependent dilations and relaxations of these components.
Scope of the Temporal–Density Framework
The Temporal–Density Framework provides a unified account of curvature, gauge symmetries, particle structure, dark matter, cosmic morphology, and horizon dynamics using only the invariant α c λ = 1 and the scale-dependent behaviour of temporal stiffness. It does not introduce new fields, adjustable parameters, or phenomenological energies. Instead, all observables arise from the geometry, impedance, and relaxation of a single temporal substrate.
Within this approach, gravitation, electromagnetism, and gauge structure are different projections of temporal density; baryons and dark matter emerge from the SU(3) → SU(2) → U(1) cascade; black-hole horizons are non-radiative temporal boundaries; and large-scale cosmic evolution follows from the global compression–reaction imbalance of the substrate. The framework is therefore not a modification of existing theories but a re-organisation of them into a dimensionless, self-consistent structure.