Persistent Registration and Relative Metric in Registration Theory: Constituted Identity, Successor Structure, Balanced Energetic Consequence, and a Program for Time and Force

Scope

Formalizes constituted identity versus registration consequence, indefinite successor structure, relative measurement between registering systems, and a candidate balanced-energetic-consequence route to inertia and force. It does not derive physical time, a universal metric, momentum, force, Newtonian dynamics, or a universal registration gain.

Relation to other papers

• Builds on Canonical Foundations of Registration Theory
• Builds on Structural Trinity Conjecture (v2.0)
• Builds on Persistent Registration Lineage Theorem
• Builds on System-Relative Dimensionality
• Builds on The Registration Tensor: From Measure-Valued Records to a Coordinate-Covariant Field
• Builds on The Physical Metric as Normalized Registration Geometry
• Builds on Finite-Amplitude Permutation-Quotient Dynamics
• Extended by Invariant Registration Closure
• Extended by Particle–Field Trinity Conjugacy
• Extended by Bilateral Participatory Registration in ACRF-4

Relevant research claims

• Exact TheoremRelative Registration Metric Identity
• Exact TheoremCommon Registration Cancellation
• Exact TheoremLog-Additive Registration Lineage Variable
• ConjecturePersistent Registration as Ongoing Maintenance
• Conditional ResultBalanced Energetic Consequence Implies No Momentum Change, Conditionally
• Exact Model ResultPreserved Ray Identity with Multiplicative Consequence in Symmetric ACRF-4
• ConjectureRegistration-Gain pi/3 Conjecture

Keywords

• Registration Theory
• Trinity
• persistent registration
• constituted identity
• retained consequence
• relative metric
• registration order
• operational time
• energetic current
• inertia
• force
• ACRF-4
• H4
• pi/3