SRFM Quantum Phase13: Adaptive Transport Phase Memory and Persistent Topology-Only Structural Memory

SRFM Quantum Phase13:
Adaptive Transport Phase Memory and Persistent Topology-Only Structural Memory

Author:
Yoichi Tsujisawa

Description:

SRFM Quantum Phase13 investigates adaptive transport hysteresis, topology-dependent structural memory persistence, and topology-only memory phases in adaptive coupled network systems.

This phase extends the adaptive transport framework developed in earlier SRFM Quantum phases by introducing:

- hysteresis analysis
- topology-memory diagnostics
- adaptive memory persistence
- perturbation-supported basin stability
- topology-only structural memory

using a minimal adaptive coupling model.

Core adaptive coupling dynamics:

dC_ij/dt = alpha * tanh(phi_i * phi_j) - gamma * C_ij

Main Results:

1.
Adaptive transport exhibits strong hysteresis under forward/backward adaptive parameter sweeps.

2.
Transport observables can converge while hidden coupling topology remains path-dependent.

3.
Phase13 identifies persistent topology-only memory states where transport-memory observables vanish while topology-memory remains strongly preserved.

4.
Topology-only memory persists over long relaxation trajectories after transport convergence.

5.
Perturbation experiments reveal basin-supported memory stability, partial memory erosion, and graded adaptive memory landscapes.

6.
The results suggest that adaptive transport systems can preserve hidden structural memory independently of observable transport activity.

This repository contains:

- full reproducible scripts
- adaptive transport simulations
- hysteresis analysis
- perturbation robustness analysis
- topology-memory diagnostics
- publication figures
- Phase13 interim paper PDF and markdown source

Main concepts introduced in Phase13:

- adaptive transport phase memory
- topology-only memory
- basin-supported structural memory
- adaptive hysteresis
- persistent topology retention
- transport/topology memory separation

This work is presented as a phenomenological adaptive transport study within the SRFM (Self-Regulating Field Model) research framework.

No claims are made regarding:

- hardware quantum validation
- universal phase-transition theory
- thermodynamic equivalence
- quantum error correction mechanisms

Keywords:

SRFM
adaptive transport
topology memory
structural memory
adaptive systems
complex systems
network dynamics
hysteresis
metastability
nonequilibrium systems

Repository:
https://github.com/YoichiTsujisawa/SRFM_quantum_phase13