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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

Publicado
Servidor
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.

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