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Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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On the Emergence of Space, Time, and Gravitation from a Log-Structural Substrate

Authors: Panagis, Christoforos;

On the Emergence of Space, Time, and Gravitation from a Log-Structural Substrate

Abstract

Aunified substrate framework is formulated in which physical spacetime metric structure,time-ordering observables, gravitating matter phenomenology, and late-time cosmologicaldynamics arise as emergent operational constructs from an underlying substrate specifiedminimally by its causal spectral response and a regeneration operator class exhibitingdiscrete scale structure. The substrate is not identified with “matter in spacetime,” norwith a conventional quantum field defined on an ontic manifold. An auxiliary Lorentzianchart is employed only as representational scaffolding for response kernels and principalsymbols. Within a minimal admissible local translation-invariant operator class on logarithmiccoordinates, dynamics selects a unique stable ground log-frequency β0 ≃ 4. The empiricallyoperative discrete set is constrained toβ ∈{4, 9, 16, 27.57},with higher members arising as constrained harmonic/projection structures rather thanindependent eigenmodes. Metric structure is defined operationally from the characteristic setof probe propagation; time is treated as a spectral ordering observable associated with stablephase progression. In the macroscopic limit the framework admits a conservative gravitationalclosure as a scalar–tensor effective field theory that can be restricted to gravitational-wavecompatible (Horndeski-safe, luminal) sectors, with ΛCDM recovered as a limiting fixed-pointregime under damping of oscillatory terms. A fixed-β empirical programme is specified withexplicit confirmatory/exploratory boundaries, null-ensemble design (permutation and MonteCarlo/mock-universe nulls), negative controls (including BAO monopole β-silence), andreproducibility protocols. Cross-domain results reported in the associated technical recordare organized under a unified evidence protocol, including strong fixed-β = 4 detections inseismicity and turbulence under null calibration, cross-validated fixed-β = 4 improvements ingalaxy rotation-curve residuals, β-mixture structure in selected cosmological residual sectors,and higher-β phase organization in recurrence phenomena. A documented prospectiveapplication associated with the 8 December 2025 Honshu earthquake is included solely as ademonstration of a prospective scoring protocol

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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