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April 28, 20260 citationsOpen Access

Combinatorial Forgetting as an Event Horizon

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ASAviad Shetrit

Key Points

  • The study aims to define and explore the concept of combinatorial forgetting within a formal game framework.
  • Propose a formal game involving two objects evolving under different combinatorial laws.
  • Analyze the growth of possible trajectories over time and their verification process.
  • Demonstrated that the growth of trajectories exceeds polynomial verification capability.
  • Established that original relations remain but become computationally inaccessible over time.

Abstract

We propose a formal game in which two objects begin in a shared relational state but evolve under different combinatorial laws. As time progresses, the number of possible trajectories grows faster than any polynomial verification process can explore. As a result, the original relation may not be ontologically erased, yet it becomes computationally inaccessible. We call this phenomenon combinatorial forgetting: an informational event horizon separating what is easy to verify from what is hard to recover.

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Cite This Study

Aviad Shetrit (2026) studied this question.

synapsesocial.com/papers/69f04edc727298f751e72d05https://doi.org/10.5281/zenodo.19784194
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