What question did this study set out to answer?

The aim is to categorize the four fundamental forces by simplifying existing criteria and introducing the concept of finite validation.

June 14, 2026Open Access

Physics from Finite Validation: The Solitaire of Forces — Reading the Four Interactions Through Finite Validation

Key Points

The aim is to categorize the four fundamental forces by simplifying existing criteria and introducing the concept of finite validation.
Proposes two simplified criteria for interactions: fixation-label/conductor and decay profile.
Analyzes each fundamental force through these criteria, touching upon gravity, electromagnetism, strong and weak interactions.
Confirms findings with in-model tests and offers a numerical companion for detailed protocols.
Gravity is characterized by a delay-gradient and fits the new criteria for a fundamental force.
Electromagnetism meets the simplified criteria but is described as having a 1/r^2 debt in its interaction profile.
The weak interaction's decay is recategorized as template relaxation, aligning with principles of entropy.

Abstract

This fourth work of the series turns from recovering physics to reading it: it asks what makes a force a force, and sorts the four fundamental interactions by a proposed pair of criteria. The standard five-entry passport (carrier, range, source, relative strength, role) is simplified, through the lens of the self-validating world, to two: a fixation-label/conductor (one entity — charge is the capacity to emit and absorb its carrier) and a decay profile (how the interaction changes with separation). By this pair: gravity is recovered (the delay-gradient of Paper 1) ; electromagnetism has label and conductor, with the 1/r² profile a debt; the strong reads as a candidate interference of two profiles (a short repulsion and a long attraction), giving a trough with a numerical attractor r* ≈ 7. 17 confirmed in-model — though that the two profiles are specifically gravity and electromagnetism is not realised (the long profile is a phenomenological proxy). The weak interaction's decay channel is reclassified, within this scheme, as template relaxation rather than a binding force — a reading of one face, not a theory of the weak sector (scattering, neutrinos, CP, electroweak structure are untouched) ; its lifetime hierarchy (a third-decimal barrier shift → fourfold median lifetime) is confirmed in-model. Relaxation is offered as identical to entropy at two levels of description, with an in-model H-test (a localised disturbance spreads irreversibly to equipartition, energy conserved). A master figure places the forces as Tier 0 of the cumulative ladder. A clearly-marked programme-level section reads binding above the physical tier; it carries no numerical content. The work's load-bearing debt is named throughout: the bridge that would turn the interference-probe into a mechanism. The record contains two files: the main article and the Numerical Companion (full protocols, seeds, per-result status labels). Code: https: //github. com/ivan-denysov/finite-validation-forces

Physics from Finite Validation: The Solitaire of Forces — Reading the Four Interactions Through Finite Validation

Key Points

Abstract

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