TWF Manuscript 2025 / A Unified Field-Theoretic Model of Time as a Dynamical Scalar Field: Bridging Quantum Decoherence, Gravitational Time Dilation and Cosmological Phenomena

Consistency Conditions, Observational Viability and Conceptual Implications

The Stochastic Time Wave Field and Quantum Decoherence

Cosmological Perturbation Theory, Structure Formation and Lensing

Energy-Momentum Trace Coupling and Conservation Laws

Cosmic Microwave Background Lensing: The High Altitude Test of the Time Wave Field

Dark Matter Phenomenology: Quantitative Galaxy Modeling in the Time Wave Field Framework

Quantum Decoherence from Time Wave Field Fluctuations

Physical Interpretation of Modified Geodesic Equation

Action Principle; Completeness, Stability and Causality

Precise Mathematical Definition and Physical Significance of Time Wave Field

Mathematical and Dynamical Consistency of the Time Wave Field

BRIDGING GALACTIC DYNAMICS,COSMOLOGY AND QUANTUM DECOHERENCE

GALACTIC ROTATION CURVES FROM THE TWF

MODIFIED FRIEDMANN EQUATIONS AND TEMPORAL ACCELERATION

STABILITY CAUSALITY AND DYNAMICAL CONSISTENCY OF TWF

GAUGE STRUCTURE-PREFERRED TIME SLICING AND STÜCKELBERG RESTORATION

ARNOWITT DESER MISNER GEOMETRY WITH A PREFERRED TIME FIELD

GHOST FREE ACTION FOR SCALAR FIELDS IN A PREFERRED FOLIATION

HAMILTONIAN FORMULATION STABILITY ANALYSIS

Resolution of Mathematical Gaps and Explicit Assumptions

PPN Analysis

Modified Friedmann Equations from the Time Wave Field

Lorentz Invariance and the Time Wave Field

Estimating the Disformal Coupling Scale M

Covariant Lagrangian Formulation of the Time Wave Field

Can TWF Model Preserve metric invariance under general covariance

General Relativity in the Lagrangian of TWF

Expanded PPN

Can this model Reproduce Einstein Field Equations