Deterministic State Reconstruction and Fault-Tolerant Memory Boundaries in Distributed Real-Time Systems

Arcstone Computational Spine (ACS) — Academic Whitepaper Suite (Paper 7) Modern high-throughput stream processing infrastructure (10^6–10^7 events/sec) faces severe availability degradation when physical hardware failures trigger cascading recovery loops, memory alignment faults, or split-brain state divergence. Extending Shannon’s decoupling of raw information entropy from physical transmission media, this paper formalizes a deterministic state-reconstruction framework where volatile state is treated as a pure mathematical projection over an immutable event history. We present a CXL zero-copy ring buffer with memory fences, a non-reentrant MMIO interrupt handler (IRQ 0x23), an AVX-512 SIMD bounds checker, and a TLA+ verified epoch-fencing state machine. Linked to Primary Master Anchor (10.5281/zenodo.22665852) and the arcstone-continuity-core open-source repository. Core Mathematical & Low-Level Hardware Invariants:• State Reconstruction Function: S_t = F(E1...t, S_0, f_pure)• Channel Capacity Invariant: R_physical < C_effective (Shannon Capacity Bound)• Contention Admission Threshold: α ≥ 0.65 (Recovery Throttling Bound)• CXL MMIO Allocation: BAR0 Address Space 0xFE00_0000 (64MB Shared Memory)• Cₒₚₛ = 0 (Zero Operational Drag)• Data_Egress_Sensitive = 0 (Zero Sensitive Egress)