Technical Translation and Scalar Field Definitions for the Abbott Hypothesis

DESCRIPTION This document provides the formal academic and physical translations for the terms used in the Abbott Hypothesis of Stalled Time. It is intended to bridge the gap between the mechanical axioms of the hypothesis and standard field theory for the purpose of peer review and data modeling. THE SCALAR GRADIENT OF SPACE In this model, the universe is defined by a gradient of potential energy. ABBOTT TERM: Temporal Tension (U) PHYSICS EQUIVALENT: Scalar Potential Energy Density DESCRIPTION: The stored potential energy of the vacuum. This tension dictates the local rate of time unfolding. ABBOTT TERM: The Abbott Constant (LA) PHYSICS EQUIVALENT: Vacuum Ground State or Entropic Floor DESCRIPTION: The minimum potential energy state where the rate of time unfolding (dEp/dt) reaches zero. ABBOTT TERM: The Abbott Scale (Space Oldness) PHYSICS EQUIVALENT: Chronological Tension Gradient DESCRIPTION: New Space: High Scalar Potential (Slow Time/High Density) Medium Space: Active Decay Zone (Standard Time/Baryonic Support) Exhausted Space: Ground State Potential (Stalled Time/Cosmic Voids) ABBOTT TERM: Unfolding PHYSICS EQUIVALENT: Temporal Flux or Emergent Entropy DESCRIPTION: The physical conversion of stored potential energy into kinetic reality. ABBOTT TERM: Dark Matter (Medium Space Low End) PHYSICS EQUIVALENT: Non-Baryonic Tension Lock DESCRIPTION: A state of aging space that retains gravitational tension (U > LA) but lacks the potential density required for baryonic matter formation. ABBOTT TERM: Abbott Redshift (Kinetic Stretch) PHYSICS EQUIVALENT: Non-Doppler Cosmological Redshift DESCRIPTION: Frequency loss occurring as photons travel across a tension gradient from high-potential space to lower-potential space. MATHEMATICAL DEFINITIONS FOR PASTE The Tension Gradient Delta U equals U local minus U darkmatter The Mass Correction (The Abbott Fix) M actual equals M standard minus Delta Tr divided by LA The Universal Floor LA equals lim t to infinity dEp dt equals 0 LEGAL RECORD This technical translation maintains the mechanical priority of Gordon James Abbott regarding the Abbott Hypothesis and its associated variables as of January 8, 2026.