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January 25, 20260 citationsOpen Access

The Modal Triplet Theory Program A1: Coherent Kinematics

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PNPeter Nero

Key Points

  • To establish a kinematic framework for Modal Triplet Theory that operates independently of traditional spacetime concepts.
  • Developed a kinematic framework based on Modal Triplet Theory.
  • Defined motion through coherence in overlapping admissible encodings.
  • Identified worldlines as equivalence classes of continuation chains.
  • Derived properties such as causal structure and irreversibility from structural fundamentals.
  • Causal structure and horizons emerged from finite admissibility parameters.
  • Irreversibility and motion termination are consequences of structural properties.
  • Null and timelike distinctions occur based on admissible continuation, rather than metrics.

Abstract

We develop a kinematic framework for Modal Triplet Theory that does not presuppose spacetime, geometry, or equations of motion. Motion is defined as persistence of coherent structure across chains of overlapping admissible encodings, and worldlines are identified as equivalence classes of admissible continuation chains under re-encoding. Using only the structural core of MTT, we derive causal structure, horizons, selection fronts, termination of motion, and irreversibility as unavoidable consequences of finite admissibility and global obstruction. Null and timelike distinctions arise from admissible continuation properties rather than from a metric. The results provide a purely structural notion of kinematics that underlies later emergence of gravity, gauge structure, and quantization as encoding responses.

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Cite This Study

Peter Nero (2026) studied this question.

synapsesocial.com/papers/6975b350feba4585c2d6ec1bhttps://doi.org/10.5281/zenodo.18354943
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