DTA (Dissipative Time Algebra) B; Algebraic Realization of Time Quantization

This paper proposes a quantum gravity framework based on non-unitary time evo
lution, resolving the compatibility between spacetime quantization and causal order
 through a discrete temporal algebraic structure. Key innovations include: 1. Construct
ing a background-independent discrete time group using Planck-scale temporal evolution
 primitives; 2. Proving equivalence between causal structure stability and the kernel di
mension of spin network vertex operators; 3. Deriving the time-energy duality relation
 Δ𝜏 ⋅|𝑑𝑆/𝑑𝑡| ≥ 𝜅ℓ𝑃, revealing thermodynamic constraints in quantum spacetime; 4. De
signing dual-path experimental verification via cold-atom simulations and gravitational
 wave observations. This work establishes a mathematically rigorous and experimentally
 testable new paradigm for quantum gravity