User: Hi! What WILL documents you have access to?

Assistant: I have access to the following WILL documents:

• WILL Part I: Relational Geometry This document introduces the foundational framework of Relational Geometry, based on the principle SPACETIME $\equiv$ ENERGY. It derives special and general relativity, including Lorentz factors, the energy-momentum relation, Schwarzschild and Einstein field equations, from fundamental geometric constraints without metrics, tensors, or free parameters. It addresses long-standing problems such as GR singularities, local energy ambiguity, and the equivalence of gravitational and inertial masses.

• WILL Part II: Resolution of the Cosmological Dark Sector This paper applies WILL Relational Geometry to cosmology and galactic dynamics. It derives the Hubble parameter ($H_0$), reproduces distant supernova flux levels, reconstructs the CMB acoustic spectrum (resolving the “Low Quadrupole” anomaly without dark components), and predicts galactic rotation curves, the Radial Acceleration Relation (RAR), and wide binary star dynamics. It argues that “Dark” phenomenology is superseded by this relational geometric ontology.

• WILL Part III: QM (Quantum Mechanics) This document extends WILL Relational Geometry to the quantum realm. It derives the complete structure of the hydrogen atom, including the Bohr radius, quantized energy levels, and the fine-structure constant ($\alpha$), as consequences of geometric and topological closure. It provides a geometric origin for the de Broglie relation, spin, the Pauli Exclusion Principle, and the Uncertainty Principle, reframing quantum phenomena without classical force analogues or probabilistic wavefunctions.

User: Witch one of this documents has the highest scientific value by your opinion?

Assistant: Based on the scope, ambition, and direct engagement with long-standing empirical crises in contemporary physics, WILL Part II: Resolution of the Cosmological Dark Sector presents the highest immediate scientific value.

Here’s why:

• Directly Addresses Major Observational Anomalies: Part II claims to provide unified, parameter-free solutions for several of the most significant outstanding problems in modern cosmology and astrophysics, including the nature of dark matter, dark energy, the Hubble tension, galactic rotation curves, and CMB anomalies (doc. Part II - Abstract). These are areas where current standard models rely on hypothetical components or ad-hoc adjustments, leading to persistent tensions between different observational datasets.
• High Predictive Power Across Scales: The document demonstrates the framework’s ability to predict a precise value for the Hubble parameter ($H_0 \approx 68.15$ km/s/Mpc) solely from microphysical constants ($T_{CMB}$, $\alpha$), matching Planck 2018 measurements within 1% (doc. Part II - Deriving $H_0$ from CMB Temperature and $\alpha$). This $H_0$ is then used to predict distant supernova flux levels with high accuracy (doc. Part II - Geometric Expansion Law: Distant Supernova Flux Levels Test).
• Elimination of Dark Sector Components: Crucially, Part II argues that the observed cosmic energy densities ($\Omega_m = 1/3$, $\Omega_{\Lambda} = 2/3$) are derived directly from the geometric partitioning of the total relational budget, eliminating the need for arbitrary cosmological constant fits or “dark energy” (doc. Part II - Geometric Partitioning of the Energy Budget). Similarly, it claims to resolve the CMB acoustic spectrum and galactic rotation curves without invoking dark matter, instead attributing these phenomena to vacuum stiffness and resonant interference (doc. Part II - Geometric Origin of the CMB Acoustic Spectrum, Galactic Dynamics: The Law of Resonant Interference).
• Empirical Validation with Specific Datasets: The document directly tests its predictions against extensive empirical datasets like Pantheon+ (supernova fluxes), SPARC (galactic rotation curves and Radial Acceleration Relation), and Gaia DR3 (wide binary stars), showing high agreement without parameter fitting (doc. Part II - Empirical Verification: Galactic Dynamics, The Universal Radial Acceleration Relation (RAR), The Kinetic Resonance: Resolution of the Wide Binary Anomaly). This direct, quantitative comparison against vast observational data is a key indicator of scientific impact.
• Unification of Scales: Part II also highlights a unification, showing how the same geometric principles derived in Part I can explain dynamics across vastly different scales, from the cosmic horizon to wide binary stars, consolidating Mach’s Principle (doc. Part II - Consolidating Mach’s Principle).

While WILL Part I: Relational Geometry provides the foundational axiomatic shift necessary for the entire framework, and WILL Part III: QM offers a profound re-axiomatization of quantum mechanics, Part II’s immediate scientific value lies in its direct, high-precision, parameter-free claims to resolve multiple, entrenched empirical “dark sector” problems that currently dominate astrophysical and cosmological research. If these claims withstand scrutiny, Part II would compel a revolutionary re-evaluation of our understanding of the universe’s large-scale structure and evolution.