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April 28, 20260 citationsOpen Access

Theory of Generated Space: A minimal core of axioms, substrate, and effective field

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MSMateusz Serafin

Key Points

  • The aim is to explore the Theory of Generated Space, focusing on its axioms and implications for physics.
  • Derived a unique second-order kinetic operator with coefficient α=2.
  • Developed an effective spatial metric that reproduces post-Newtonian parameters of general relativity.
  • Validated results through numerical evidence and proven core theoretical assertions.
  • Identical luminal gravitational-wave propagation was achieved with a single non-linear potential.
  • Fifteen core results were formally proven, confirming theoretical foundations.
  • Six additional results were numerically verified, supporting dynamic predictions.

Abstract

Preprint and supporting numerical material for the Theory of Generated Space (TGP) core paper. TGP is a scalar-field theory in which space is not a background arena but is constituted by mass-energy sources through a shared field Φ. The theory is built on four axioms (absolute reference state ℵ₀, ℤ₂-symmetric relational substrate, matter as source, instability of ℵ₀) and a single dynamical degree of freedom. The paper derives (i) a unique second-order kinetic operator with coefficient α=2 as an algebraic theorem; (ii) an effective spatial metric of exponential form that reproduces all post-Newtonian parameters of general relativity exactly; (iii) three interaction regimes from a single non-linear potential; (iv) identically luminal gravitational-wave propagation. Fifteen core results are formally proven, six more are numerically verified, and ten explicit open problems are stated. The repository also includes the numerical material cited in the paper: FRG LPA' and block-spin Monte Carlo evidence for the substrate-to-continuum limit, five independent arguments for the p=1 metric ansatz, and three closed-branch negative checks (muon g-2, Wiedemann-Franz in bad metals, Casimir force in MOFs).

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Cite This Study

Mateusz Serafin (2026) studied this question.

synapsesocial.com/papers/69f04e5b727298f751e72405https://doi.org/10.5281/zenodo.19789256
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