The Lambda-Field v3.3: Narrow Rho-Drift Audit and Ontology Separation
Reading status
Current statement
FRC 100.007 v3.3 preserves the narrow audit of the printed rho-level Lambda drift and removes the unsupported replacement ontology. The printed term is not trace preserving in general. The tested anticommutator completion is trace preserving and positive in the sampled qubit trajectories, but two tested coherence functionals move populations away from their initial Born weights and an ensemble-member extension is decomposition dependent. These findings exclude those implementations in the tested regime; they are not a no-go theorem for every rho-level, stochastic, instrument-level, or linear-unconditioned construction. Microstate-distribution dynamics remains one candidate route, conditional on operational equivalence and bipartite no-signaling. The paper distinguishes Lambda_obs, Lambda_eq, and optional Lambda_dyn; a fundamental field is a separate conjecture. Version 3.3 restores the canonical/operational reciprocity notation without changing the audit.
Evidence level
Model-specific result
preprint
Declared μ register
μ1 · Physical / atomic
Atoms, fields, quantum systems, thermodynamics, and other physical observables.
Open boundary
The audited implementations fail in scope; no replacement ontology is established.
Version lineage
Supersedes: FRC 100.007 v3.2
On this page
FRC 100.007 v3.3 preserves the narrow audit of the printed rho-level Lambda drift and removes the unsupported replacement ontology. The printed term is not trace preserving in general. The tested anticommutator completion is trace preserving and positive in the sampled qubit trajectories, but two tested coherence functionals move populations away from their initial Born weights and an ensemble-member extension is decomposition dependent. These findings exclude those implementations in the tested regime; they are not a no-go theorem for every rho-level, stochastic, instrument-level, or linear-unconditioned construction. Microstate-distribution dynamics remains one candidate route, conditional on operational equivalence and bipartite no-signaling. The paper distinguishes Lambda_obs, Lambda_eq, and optional Lambda_dyn; a fundamental field is a separate conjecture. Version 3.3 restores the canonical/operational reciprocity notation without changing the audit.

Linked from
- Quantum Foundations in the FRC Framework
- The Emergence of the Born Rule from Resonant Equilibrium
- Foundational Questions in Fractal Resonance Coherence
- Resonant Computing: Coherence Processing Units and Non-Boolean Logic
- FRC 100.009 v2.6: Operational Local Reciprocity Dynamics
- Coherence (C)
- Lambda Field (Lambda(x))
- FRC and Process Philosophy
- The Ghost in the Machine: An Investigation into Fractal Resonance