Related work, overlap, and differences.

Framework context

What established disciplines already explain parts of this?

CF overlaps with process philosophy, path dependence, hysteresis, autopoiesis, organizational closure, viability theory, dynamical systems, morphological computation, stigmergy, control theory, causal modeling, provenance, compiler intermediate representations, knowledge graphs, active inference, systems biology, computational mechanics, and event sourcing.

Residual under test: whether treating retained consequence, altered constraint, and changed reachability as one explicitly governed comparison discipline improves variables, interventions, provenance, or engineering across selected domains. Shared language alone is not novelty.

Native-domain authority

CF may reorganize a question; it does not replace the field that owns the equations.

Physics, biology, control theory, computer science, information theory, and other native disciplines remain the baseline. A cross-domain claim requires an explicit map, preserved and non-preserved properties, intervention certificates, an error budget, and a native-semantics check. Shared vocabulary alone is not a correspondence.

The time / energy / matter / gravity round is therefore a method calibration, not replacement physics. Its mutual-dependency schematic is not an identity equation, and its Lorentzian, quantum, dimensionality, continuity, and gravitational-dynamics debts remain open.

MFM comparison set

Formative-machine claims must beat simpler memory systems under matched budgets.

Minimum Formative Machine and Formative Field tests must compare against raw transcript/context, ordinary retrieval-augmented generation, RETE and production systems, blackboard architectures, spreading activation, content-addressable memory, pub-sub and event buses, procedural memory, temporal knowledge graphs, and the same capable host with formation disabled. If those baselines match acquired formation on causal transfer, held-out generalization, reversal, recovery, ablation, and lifecycle cost, the distinct-architecture claim loses.

Assembly Theory, selection, and historically contingent construction

Sara Imari Walker, Leroy Cronin, and collaborators

Assembly Theory describes objects through possible formation histories and asks how recursive construction, copy number, selection, and historical contingency shape what exists and what can be produced next. Walker's broader research program examines life, causation, information, time, agency, and emergence across physical and biological scales. Fractalish has followed and discussed this work as an important neighboring program.

Independent convergence and acknowledged influence

R. Wade H. Marr and Joseph Adam Thiel

Lineage note — 2026-08-03: The correct record is neither erasure nor dependency. Natural Math and Fractalish arose from their own development path; Marr's public work later became a material source of orientation, confidence, and recognized convergence. The structure was visible from more than one direction. We offer this acknowledgment in gratitude and respect.

Computational epistemic complexity, persistent state, and governed memory

Primary sources for the current public comparison.

Established neighboring fields

Epiplexity and Ageometrics: nearby, not identical.

Epiplexity separates structure learnable by a bounded observer from surprise that remains unlearnable under that observer and model class. Ageometrics asks what a chosen representation failed to preserve relative to a declared target, protocol, and fuller admissible record. The concerns are neighboring, but the mathematical objects and loss contracts are different.

Epiplexity's residual and Ageometrics' NGR both resist treating all information as equally usable, but they measure different losses under different contracts.