What Distributed Computing Got Wrong: The Category Mistake That Turned Design Choices into Laws of Nature
Paul Borrill

TL;DR
This paper argues that foundational impossibility results in distributed computing are based on a mistaken category assumption, and proposes an alternative bilateral transaction model to overcome these limitations.
Contribution
It introduces a category mistake framework to reinterpret impossibility theorems, challenging their status as fundamental physical laws and proposing a transactional alternative.
Findings
Impossibility results are about design choices, not physical laws.
Dropping the FITO assumption allows for bilateral interactions that overcome traditional limitations.
Distributed computing can be fundamentally rethought by abandoning the category mistake.
Abstract
The foundational impossibility results of distributed computing -- the Fischer-Lynch-Paterson theorem, the Two Generals Problem, the CAP theorem -- are widely understood as discoveries about the physical limits of coordination. This paper argues that they are nothing of the sort. They are consequences of a category mistake: treating Forward-In-Time-Only (FITO) information flow as a law of nature rather than recognizing it as a design choice inherited from Shannon's channel model and Lamport's happened-before relation. We develop this argument in six steps. First, we introduce the category mistake framework from Ryle through Spekkens' ontic/epistemic distinction in quantum foundations. Second, we identify FITO as the hidden axiom that unifies the classical impossibility results. Third, we apply Spekkens' Leibnizian principle to show that FITO-based models contain surplus ontological…
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Taxonomy
TopicsQuantum Mechanics and Applications · Distributed systems and fault tolerance · Logic, programming, and type systems
