The Quantum Energy Universe: A Unified Theory of Gravity, Dark Matter, and Dark Energy

A fully revised edition of this book (v2,ISBN: 9798996139439) has now been completed and published on Amazon, with the following major features, improvements, and additions: This monograph, the third volume of the Energy Quantum Theory (EQT) treatise series by Kaisheng Li and Longji Li, advances a unified mechanistic explanation for dark matter and dark energy as macroscopic readouts of a single frequency-resolved energy quantum density field. Rather than treating the two dark components as isolated puzzles—an undiscovered particle and a cosmological-constant fitting term—the book reformulates them as one prior question: why are certain energy structures nearly silent in the electromagnetic window yet decisive at gravitational and cosmological scales? The proposed answer is that dark matter and dark energy correspond to the same underlying object, the energy quantum density field ρ(ν,x,t), but populate distinct frequency intervals with distinct dynamical regimes. The derivation proceeds from four postulates (A1–A4) and a meta-norm M of falsifiability, without dedicated dark-matter or dark-energy axioms. A1 posits a frequency-resolved energy quantum density field; A2 establishes the frequency–energy spectral relation; A3 specifies the EQT master equation governing field evolution through generation, diffusion, and dissipation; A4 imposes Lorentzian resonance kernels and cross-frequency coupling constraints. M forbids ad hoc assumptions and demands explicit failure conditions. Invoking the weak-field gravitational interface from the preceding gravity volume as a prior rather than a result, the book then constructs two parallel mechanistic chains. Dark matter is recast as a mid-frequency energy quantum density field ρ_DM under a dual constraint: it must remain electromagnetically weakly coupled while contributing meaningfully to the total density gradient. Frequency mismatch with the electromagnetic window, expressed through Lorentzian suppression and a coupling factor ε, accounts for invisibility; the gradient ∇(ρ_grav+ρ_DM) yields an effective gravitational enhancement G_eff(r) that organizes flat rotation curves, lensing–dynamics consistency, the Bullet Cluster mass–gas separation, halo formation, and a rewriting of NFW-type profiles. Core–cusp and missing-satellite issues are addressed through nonlinear saturation rather than baryonic feedback alone. Dark energy is recast as an ultra-low-frequency energy quantum background field ρ_Λ characterized by ultra-long wavelengths, diffusion dominance, and quasi-steady slow evolution. From this structure the book derives effective negative pressure, recovers w ≈ −1 in the appropriate limit, permits a constrained dynamical w(z), and feeds the result into H(z) through the Friedmann interface, with explicit links to DESI/BAO, supernovae, the CMB, the H₀ tension, σ₈ suppression, the ISW effect, and the low-frequency gravitational-wave background. The framework is sharply distinguished from ΛCDM, the WIMP paradigm, axion and dark photon models, MOND, modified gravity, quintessence, and early dark energy. Parameters ν_Λ, D_Λ, and Γ_Λ undergo identifiability checks and AIC/BIC penalties, and conflations such as a "unified dark field" or treating compatibility as observational support are forbidden. The closing emphasis is methodological: failability outranks explanatory scope. The book tabulates failure conditions for dark matter, dark energy, the gravitational interface, and cross-frequency coupling, and supplies a minimum executable simulation route covering N-body methods coupled to density-field dynamics, modified Boltzmann solvers, and MCMC parameter estimation. The work is positioned not as a completed alternative cosmology but as a generative candidate mechanistic framework—definitionally rigorous, computationally addressable, and observationally falsifiable—whose theoretical value is conditional on whether the mechanism ca