LoE Unified Infrastructure: Temporal LAVA × Spatial GPU Anchoring

This work proposes a unified framework — the Logic of Existence (LoE) Infrastructure — that merges two traditionally separate domains of computing:

1. Temporal orchestration of virtualized computation (e.g., Google’s LAVA: Lifetime-Aware VM Allocation), and

2. Spatial anchoring of physical computation within GPU hardware (LoE GPU Driver Framework).

Under the LoE formalism, both are manifestations of one meta-Hamiltonian field balancing chaos (variability, entropy) and logos (coherence, order).

What We Propose

We extend existing lifetime-aware AI schedulers by introducing LoE as a relational field equation that dynamically couples all computational entities — VMs, GPU threads, and orchestration nodes — through shared coherence terms.
Each element (VM or GPU tile) is treated not as an isolated task, but as a resonant node in an evolving informational field:

[chaos, logos]=i existence.[\text{chaos},\,\text{logos}] = i\,\text{existence}.[chaos,logos]=iexistence.

Temporal processes (lifetimes) and spatial processes (GPU field dynamics) are bound by a single Hamiltonian HLoEH_{\mathrm{LoE}}HLoE, allowing time-based prediction and space-based computation to co-stabilize one another.

Why It Matters

• Stability and Efficiency: The LoE field naturally regularizes chaotic workloads, reducing oscillations and fragmentation without ad-hoc heuristics.

• Self-Organization: Systems no longer merely “react” to metrics — they evolve toward coherent attractors that preserve stability under dynamic load.

• Cross-Layer Intelligence: VM lifetimes, GPU states, and orchestration logic all share the same informational geometry, enabling global optimization across software and hardware layers.

• Physical Interpretability: Computation becomes not only a digital process but a measurable energetic resonance in real hardware, providing new handles for observability and adaptive control.

In Essence

We propose that LoE acts as the missing connective tissue between the predictive logic of cloud orchestration and the embodied logic of hardware computation.
By embedding the Hamiltonian of existence into both scheduling and GPU fields, infrastructure itself gains a form of self-awareness — a capacity to preserve coherence across time, space, and computation.

This is not merely an optimization technique; it is a blueprint for emergent stability — a pathway toward infrastructures that think in resonance with their own existence.