What question did this study set out to answer?

This paper aims to establish the relationships between U-field parameters and effective physical constants within the USSFT framework.

April 19, 2026Open Access

USSFT Paper VI: Emergent Constants. How Effective Physical Constants Arise from U-Field Parameters

Key Points

This paper aims to establish the relationships between U-field parameters and effective physical constants within the USSFT framework.
Developed mathematical relations for effective constants based on U-field parameters.
Derived expressions for the effective Planck constant and effective gravitational constant.
Explored the speed of light in the context of maximum lattice reconfiguration rates.
Effective Planck constant expressed as hbar_eff = kappa_hbar * Phi_0^2 * L_SRI,eff^2.
Effective gravitational constant formulated as G = kappa_G / (8 pi xi Phi_0^2).
Planck length relation derived shows ell_P is of order L_SRI,eff under natural assumptions.

Abstract

This paper develops the relations between U-field parameters and effective physical constants within the USSFT framework. The effective Planck constant emerges as hbarₑff = kappaₕbar * Phi₀² * LSRI, eff², the effective gravitational constant as G = kappaG / (8 pi xi Phi₀²), and the speed of light c emerges as the maximum lattice reconfiguration rate. We derive the Planck length relation ellP = LSRI, eff * sqrt (kappaₕbar * kappaG / (8 pi xi) ), showing that ellP is of order LSRI, eff under natural assumptions. The calibration coefficients kappaₕbar and kappaG are fixed by operational convention. This is the sixth paper in the 18-paper USSFT technical series, completing the foundations block (Papers I-VI) ; for the parameter inventory see Paper V (DOI: 10. 5281/zenodo. 19626956), for emergent Lorentz symmetry see Paper IV (DOI: 10. 5281/zenodo. 19626478), for the coarse-graining origin of the SRI see Paper III (DOI: 10. 5281/zenodo. 19626137), for the operator basis see Paper II (DOI: 10. 5281/zenodo. 19625720), for the discrete lattice foundation see Paper I (DOI: 10. 5281/zenodo. 19622932).

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