A Conceptual Axiomatic System Framework for the Cosmic Continuum—The Component Universe Model Based on Fibered Braided Tensor Categories

Fundamental physics faces three profound difficulties: ontological incompatibility (G, c, ¯h presuppose different ontological categories), the chasm between continuity and discreteness (classical continuum vs. quantum discreteness), and divergent mathematical languages (differential geometry, Hilbert spaces, renormalization groups). This paper proposes a 14-axiom system (A1–A14) as a candidate axiomatic foundation for fundamental physics—the Cosmic Continuum Component Universe Model. The framework is built upon ontological axioms (A1–A3) as the foundation, clearly distinguishing mass, energy, and dark mass beings and their corresponding space, time, and dark space dimensions, unified via the New Equivalence Principle (A3). The component (A4) serves as the skeleton, unifying particles and gauge fields into an inseparable tensor product. The scale topos and the U_q(e₈) modular tensor category provide the mathematical realization, rigorously capturing the relative continuum (A6) and embedding the Standard Model gauge group. From these axioms we derive: the mirror 2-morphism M is equivalent to CPT; the singularity is a phase boundary from ordinary spacetime to dark space; the singularity flux is quantized as dN/dt = sgn(−t)/tP; dark space entropy S_dark = k_B ln 2 · N resolves the black hole information paradox; the mirror cyclic universe predicts w_a > 0 (dark energy weakens over time), consistent with current DESI/Planck data at 1.3σ; wavefunction collapse is interpreted as a natural projection in the fibred category, with coherent information entering dark space. The framework is fundamentally deterministic (causal): the Born rule probabilities arise from limited access to information stored in dark space, not from intrinsic randomness. The paper also presents a systematic comparison with loop quantum gravity, string theory, and quantum field theory, highlighting the unique advantages of the proposed framework. Testable predictions include Planck-scale CMB oscillations (α ≈ 0.032), a gravitational wave background peak at f_peak ≈ 0.2 Hz, and quantum corrections to black hole shadows (γ ≈ 0.3). The core dynamical part is falsifiable: exclusion of w_a > 0 at > 5σ etc. would falsify the framework.