Bug-Rivet Paradox

Written by Great Medico

Updated September 25, 2026 •2 min read

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When you need a quick bug-rivet paradox check, the useful number is the one you can reproduce. Special and general relativity calculations depend on clearly identifying the frame, proper quantity, and dimensionless speed ratio being used. The goal is to make the equation, inputs, and result easy to sanity-check rather than hide them behind a black box.

What this calculator does

This calculator focuses on lorentz factor γ from Speed (v), Speed ratio (β), Length of rivet (a). It is designed for quick estimation and hand-checking, with the visible fields defining the scope of the model rather than implying a larger simulation.

How to use it

Start with Speed (v), Speed ratio (β), Length of rivet (a), Length of the hole (L). Let the unit controls handle supported conversions instead of converting values mentally. If the page offers both inputs and derived fields, fill the quantities you know and leave result fields for the calculator.

How the calculation works

The relativistic factor is γ = 1/√(1−β²), with β taken from the speed ratio or derived from speed. The page reports both entered lengths divided by γ; the frame selector currently does not alter that calculation.

Example

With the default setup (Speed (v) = 0.8 c; Speed ratio (β) = 0.8; Length of rivet (a) = 1 m; Length of the hole (L) = 0.8 m), the page reports lorentz factor γ of 1.666667. Reproducing this default result is a quick way to verify units before replacing the values with your own case.

How to interpret the result

The lorentz factor γ becomes increasingly sensitive as β approaches 1. Compare scenarios using the same frame convention and remember that relativistic time, length, energy, and velocity relations are not interchangeable corrections.

Limitations and notes

The current page calculates Lorentz factor and contracted lengths but does not model the event sequence, material interaction, or relativity-of-simultaneity details that make the paradox instructive. The frame selector does not alter the numeric path.