Progressive Future Accessibility Loss
The simulations reveal progressively divergent recoverability trajectories under identical external perturbation schedules. Slower-recovery systems remain dynamically active while progressively losing operational access to future regions despite identical external forcing conditions and externally elapsed time.
A minimal computational framework exploring progressive loss of operational future accessibility in recoverability-constrained dynamical systems.
This work explores whether dynamical systems may remain operationally active while progressively losing access to portions of their future accessibility landscape under constrained recoverability conditions.
Rather than asking only whether trajectories formally exist, the framework investigates whether future operational regions remain dynamically reachable under finite recovery constraints and repeated perturbation exposure.
Using a minimal recoverability-constrained dynamical framework, the simulations explore how heterogeneous recovery dynamics may progressively alter operational future accessibility despite identical external forcing schedules and externally elapsed time.
The resulting structure exhibits:
operational temporal divergence,
operational temporal freezing,
horizon-like accessibility regimes,
future accessibility fragmentation,
stochastic accessibility degradation,
and percolation-like loss of global accessibility coherence.
Importantly, the framework does not propose modifications of physical spacetime structure, relativistic dynamics, or observer-dependent physical coordinate systems.
Instead, the results suggest that constrained recoverability alone may progressively reorganize operational future accessibility under shared external temporal progression.
The simulations further indicate that systems possessing slower recoverability may remain dynamically active while progressively losing operational access to future regions long before complete dynamical collapse occurs.
Within this interpretation, future accessibility becomes an evolving property of the system’s recoverability structure rather than a static consequence of externally elapsed time alone.
The repository includes:
reproducible computational notebooks,
generated manuscript figures,
stochastic robustness analyses,
accessibility fragmentation experiments,
temporal accessibility simulations,
and processed computational outputs.
The central phenomenon explored throughout the framework is:
systems may remain dynamically active while progressively losing operational access to portions of their future accessibility landscape.
This framework may be relevant to broader questions involving:
recoverability-constrained dynamics,
resilience and accessibility loss,
rate-induced transitions,
stochastic fragmentation,
operational reachability,
finite-time recovery behavior,
and constrained dynamical accessibility analysis.
DOI (Zenodo)
https://doi.org/10.5281/zenodo.20130285
View Code (GitHub)
https://github.com/jaimeojse-collab/recoverability-limited-future-accessibility
Related Frameworks
Previous ERC-related computational frameworks associated with this research direction:
