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February 13, 2026Open Access

The Mechanical Necessity of Integer Quantization in Physical Systems

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Authors

GHGeoffrey Howland

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Overview

This theoretical investigation demonstrates the necessity of integer quantization for stability in physical systems, implying a structural framework for reality.

Key Points

  • To establish that integer quantization is essential for the stability of matter and physical laws in the universe.
  • Rigorous mathematical proof analyzing the limitations of continuous spacetime hypotheses.
  • Demonstrated the failure of continuous systems to support stable matter via proofs of bound-state instability.
  • Examined information persistence and causal loop closure in relation to integer-indexed systems.
  • Proven that continuous manifolds lead to unstable atomic structures due to energetic collapse.
  • Established that information in continuous systems decoheres instantaneously, highlighting the advantage of discrete spectra.
  • Demonstrated the necessity of integer indexing for coherent causality and logical consistency in physical laws.

Cite This Study

Geoffrey Howland (2026) studied this question.

synapsesocial.com/papers/698ebf5d85a1ff6a93016d22https://doi.org/10.5281/zenodo.18609952
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