Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 9 versions
addClaim

A Meta-Ledger Theory of Emergent Time and Closure

Abstract

The Meta-Ledger:A Parameter-Free Admissibility Scaffold for Physics (v19) Description This paper presents a 16-stage admissibility scaffold — a "meta-ledger" — that constrains what any candidate physics must satisfy, without introducing fitted parameters. Each stage is a minimal constraint layer with explicit No-Go rules, Barriers, and Falsifiers. The framework separates form (invariant structure: closure, symmetry, audit) from mapping (units, calibration, representation choices). Physical constants and laws emerge as derived consequences of staged admissibility, not as postulates. Key results Golden rotation as forced selection: The golden ratio φ⁻¹ is derived as the unique minimax anti-resonance choice for isotropic, memoryless updates on the circle (Hurwitz extremality), not assumed as a numerological motif. Iteration hierarchy: A strict separation of non-termination (U⁺), aperiodicity, and equidistribution — three levels often conflated — with proof that each requires independent justification. Inverse-square universality: The 1/r² backbone is proven locally universal across all FRW space forms (K = 0, ±1), with curvature and expansion producing only subleading corrections. DSI analytical backbone: Discrete scale invariance with ratio φ produces a Mellin pole lattice at z = μ + imω_φ (ω_φ = 2π/ln φ), with strict carrier discipline: the signature lives on ln s, never on raw time. Golden Survival Theorem: Mean survival fraction S = 1/4 if and only if the shell ratio R_a/r_a = φ, proven specific to d = 3 dimensions. This yields a parameter-free 25/75 matter/radiation source split. Dynamical attractors: The 25/75 split forces a stable 9/4 radiation-to-matter attractor (w = 3/13), with logistic saturation to 50/50 (inflection at 1/4). All values are structural (ratios/fixpoints), not fitted. Fractal necessity: U⁺ (no terminal scale) combined with DSI algebraically forces fractal source geometry with dimension D ∈ (0,3) and log-periodic golden modulations. Origin ≠ Structure: The term algebra of admissible operations satisfies T(S;O) ⊆ S with ω ∉ T(S;O). No generative path from structure reaches the origin. Provenance is not derivable from law. Methodology The paper introduces a Barrier Calculus partitioning all claims into Existence (with proof), Barrier (with no-go proof), and Horizon (undecided). Each major result is tagged as Proof, Barrier, Conjecture, or Heuristic. A strict DSI detection protocol (8 steps, p-hack-resistant) and an All-or-Nothing test battery (4 joint tests, no parameter retuning) are provided as appendices. Nine cross-stage Concept Boxes consolidate Time, Gravitation, Electromagnetism, Geometry & Observer, the Iteration Hierarchy, Scale Narrative (Micro→Meso→Macro), Fixpoints & Attractors, DSI→Fractality Necessity, and an optional CMB Phase-Interference Hypothesis. Falsifiability The framework is falsifiable at multiple levels: logical (counterexamples to form claims), structural (violation of closure/audit identities), and empirical (preregistered DSI signatures, hemisphere tests, Cauchy wave-speed ratio). A diagnostic failure-mode table maps each observable failure to the specific structural block it breaks. Relation to companion papers This work integrates and extends results from: The Simplicity Theory, Part 1 (DOI: 10.5281/zenodo.16811309): Non-collapse, golden rotation, equidistribution on S² The Simplicity Theory, Part 2 (DOI: 10.5281/zenodo.16837391): Dynamics, attractors, discrete scale invariance Supplement S to Part 2: FRW universality, Mellin analysis, Rice-type undecidability, detection protocols The Simplicity Theory — Math Manifest: Barrier Calculus, uncertainty barriers, one-page axiom summary Origin ≠ Structure (Cryptic Edition): Provenance separation, Guardian Principle Keywords parameter-free physics, admissibility scaffold, golden ratio, discrete scale invariance, Hurwitz extremality, inverse-square law, barrier calculus, falsifiability, equidistribution, fractal geometry License CC BY 4.0

  • BIP!
    Impact byBIP!
    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).
    0
    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
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!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!