Relational Emergence of Spacetime: Lorentz Invariance from Two-Way Interactions

We propose a minimal relational framework in which spacetime and Lorentz invariance emerge from completed two-way interactions between systems. Each system defines its proper time as the accumulated count of closed exchange cycles ("both-way handshakes") with its environment, while perceived spatial relations are encoded in relative interaction frequencies. The motivation is to reinterpret the Minkowski spacetime structure from a discrete relational perspective, emphasizing that Lorentz invariance may itself arise from the consistency of two-way interaction counts.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-16
DOI
https://doi.org/10.5281/zenodo.20219136
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Relational Emergence of Spacetime: Lorentz Invariance from Two-Way Interactions

Esim Can
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Relational Emergence of Spacetime: Lorentz Invariance from Two-Way Interactions

Esim Can
preprint en

Abstract

We propose a minimal relational framework in which spacetime and Lorentz invariance emerge from completed two-way interactions between systems. Each system defines its proper time as the accumulated count of closed exchange cycles ("both-way handshakes") with its environment, while perceived spatial relations are encoded in relative interaction frequencies. The motivation is to reinterpret the Minkowski spacetime structure from a discrete relational perspective, emphasizing that Lorentz invariance may itself arise from the consistency of two-way interaction counts.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Noncommutative and Quantum Gravity Theories
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Relational Emergence of Spacetime: Lorentz Invariance from Two-Way Interactions — Esim Can · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS