Sub-c Tick Time for the Speed of Light and Lock-Step scaling of Time, Space, and the Meter to the Planck Scale and Beyond
- Posted
- Server
- Zenodo
- DOI
- 10.5281/zenodo.16972804
The Light Tick System — A Speed-of-Light–Based Subdivision of the Meter
The Light Tick System is a hierarchical quantization framework for space and time that uses the speed of light (c) as its natural scaling factor.Unlike the base-10 metric subdivisions of the SI system, the Light Tick System subdivides both spatial and temporal intervals by successive powers of c, ensuring that all derived quantities remain light-coherent across all scales.
Each subdivision tier represents a finer light-based resolution step, defined recursively as:
Δλₙ = 1 / cⁿ Δtₙ = 1 / cⁿ
wheren = 0, 1, 2, 3 … denotes the tier level, andΔλₙ and Δtₙ represent the spatial and temporal subdivisions at that tier.
Tier Description Spatial Δλ (m) Temporal Δt (s)
0 Base scale 1 1
1 Sub-C scale 1 / c 1 / c
2 Super-Sub-C scale 1 / c² 1 / c²
3 Quantum-C scale 1 / c³ 1 / c³
⋮ Higher orders 1 / cⁿ 1 / cⁿ
Each successive Tier refines the measurement lattice by one additional division of the speed of light, forming a recursive geometric structure of spacetime quantization that preserves the invariance:
Δλₙ · Δfₙ = c
Thus, at every scale:
Δλₙ₊₁ ⁄ Δλₙ = Δtₙ₊₁ ⁄ Δtₙ = 1 ⁄ c
This ensures that each “light tick” — the fundamental unit of spatial-temporal subdivision — remains synchronized with the universal light constant.
The LightForge and WaveLocator computational models are built on this foundation, mapping wavelength, frequency, radius, energy, momentum, and equivalent temperature across coherent light-based tiers.By expressing all variables through light-defined scaling instead of base-10 rounding, these models eliminate cumulative floating-point drift and preserve physical accuracy from sub-Planck to cosmological magnitudes.
Analytic Definition
Absolute Δ: ΔXₙ = Xₙ − Xₙ₋₁Relative Δ: ΔrXₙ = (Xₙ − Xₙ₋₁) ⁄ Xₙ₋₁
This framework effectively reconstructs the metric around light itself, treating c not merely as a conversion constant but as the fundamental ruler that defines and subdivides both space and time continuously and coherently.