What question did this study set out to answer?

The research aims to establish how boundary logic informs both physics and metaphysical concepts of identity and existence.

February 10, 2026Open Access

The First Cut: How Boundary Logic Derives Physics

Key Points

The research aims to establish how boundary logic informs both physics and metaphysical concepts of identity and existence.
Introduced a framework based on the concept of a 'first cut' to define bounded entities.
Utilized integral and differential calculus to describe physical processes and identity maintenance.
Examined historical maintenance acts through symbolic and integral forms.
Applied boundary logic to classical metaphysical problems, like the Ship of Theseus.
Identified a cybernetic process for identity maintenance, not merely a static state.
Derived the differential balance law that links classical logic to physical processes.
Showed how calculus is integral to understanding physical maintenance processes.
Resolved identity paradoxes by framing existence as a continuous history of entropic resistance.

Abstract

AbstractWe begin with a single primitive act: cutting from a background to make a distinction. This“first cut” establishes a bounded entity against an indeterminate ground (Apeiron). We show thatpersistence is not a state but a cybernetic process: identity is maintained through the inte-gral of corrective work against decay over time. From the symbolic form A(t) = ¬t |¬t0 A|, weimmediately derive the integral form A(t) = A0 + (Φ − N )dτ —the historical ledger of allmaintenance acts. This integral is the foundation: its optimization yields the differential balancelaw dA/dt = Φ − N , recovers classical logic as its zero-maintenance limit, and necessitates theSecond Law of Thermodynamics. Calculus emerges as the native mathematics of this mainte-nance process, and physics as its domain-specific expression. The framework unifies geometry,dynamics, and cybernetics into a single first philosophy. Finally, we apply this calculus to classi-cal metaphysics, demonstrating that the maintenance integral resolves long-standing paradoxesof material identity—such as the Ship of Theseus—by defining existence not as static substance,but as a continuous history of entropic resistance. Keywords: Boundary Logic, Metaphysics of Physics, Cybernetics, Entropic Asymmetry, Apeiron,Second Law of Thermodynamics, Neo-Pre-Platonic Naturalism, Logic, Law of Identity, Calculus,physics

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Cite This Study

Eli Adam Deutscher (Sun,) studied this question.

synapsesocial.com/papers/698acad77c832249c30ba4d4 https://doi.org/https://doi.org/10.5281/zenodo.18521771

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