Ghidan 1/0 Informational Throughput Model: Shannon-Derived κ and Planck-Scale Commit Deficits in GNSS Timing

This work introduces the Ghidan 1/0 informational throughput framework, a physics model in which gravitational and relativistic timing effects emerge from limits on information processing rather than spacetime geometry as a primitive.

Starting from Shannon entropy and Landauer’s principle, mass–energy is interpreted as informational capacity. From this capacity a saturation radius κ(M) is derived, representing the radial scale at which local informational throughput becomes constrained. Using this single parameter, gravitational redshift and kinematic time dilation are expressed through a unified throughput function:

χ(r,v) = [1 − κ/r] · √(1 − v²/c²)

Applied to the Global Positioning System (GPS), the model reproduces the operational +38.46 μs/day relativistic correction using a single Earth parameter κ⊕ ≈ 4.435 mm. This matches engineering specifications without invoking metric tensors or spacetime curvature as fundamental primitives.

Within this framework, time is interpreted as the accumulation of discrete informational resolution events (“commits”). Assuming a universal maximum commit rate corresponding to the Planck frequency, gravitational and kinematic time dilation arise as commit deficits relative to this limit. Macroscopic clock offsets therefore represent differences in realized informational throughput rather than continuous deformation of time.

The framework remains fully consistent with existing relativistic observations while proposing a deeper informational substrate beneath spacetime geometry. It yields testable predictions including κ-stability across orbital regimes and lunar gravitational timing derived directly from mass–energy without empirical fitting.

This paper establishes an information-based formulation of gravity and time that reproduces known results while providing a falsifiable pathway toward an informational foundation of physics.