Defenses, Self-Consistency Reinforcement, and Experimental Compatibility Verification for Core Controversies in the Graviton Condensate Quantum Gravity Framework

Aiming at the quantum gravity framework centered on massless graviton Bose-Einstein Condensate (BEC), this paper focuses on four fundamental conflicts (the contradiction between Lorentz invariance and discrete spacetime, the conflict between graviton mass and gravitational wave observations, the feasibility of SU (5) grand unification at the 100 TeV energy scale, and the uniqueness of dark energy value derivation) and two theoretical self-consistency issues (clarity of conceptual hierarchy and strictness of ultraviolet completeness). By systematically integrating resources from eight foundational papers, a closed-loop defense system of "question-response-supplementary derivation-experimental verification" is constructed. Through supplementing key contents such as rigorous mathematical proofs, quantum field theory mapping relationships, and full-energy-scale coupling constant fitting, the self-consistent derivation logic of the core theoretical parameters (λ=1.2×10⁻³⁵ m, φ₀=3.2×10⁻¹⁴ m⁻¹) is clarified, and the compatibility with existing experiments (LIGO, LHC, Super-Kamiokande, etc.) is strengthened. Meanwhile, key details such as the stability proof of dark matter topological defects and the calculation of intermediate gauge boson mass spectrum are supplemented to further consolidate the academic legitimacy of the theory, providing core support for the framework to pass the initial academic screening and enter the in-depth research stage.