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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
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The Statistical Signature of Geometric Collapse: A Computational Test of the Law of Geometric Identity (ΛG) Applied to the Measurement Problem

Authors: Srivastava, Abhishek;

The Statistical Signature of Geometric Collapse: A Computational Test of the Law of Geometric Identity (ΛG) Applied to the Measurement Problem

Abstract

We present the Law of Geometric Identity (ΛG), a framework that reinterprets quantum measurement as geometric self-correction rather than random state selection. The observer functions not as a passive recorder but as a boundary condition constraining the system toward minimum Entropic Deficit through three mechanisms: φ-coherence (golden ratio self-similarity), the void bridge (forcing non-linear resolution), and symmetry enforcement. Through 210,000 individual collapse simulations across 21 experimental configurations (7 quantum state types × 3 mixing ratios), we demonstrate 100% statistical significance (p < 0.001) in distinguishing geometric resolution from standard Born Rule predictions. Key findings include φ-ratio amplification in structured states, void bridge activation in Bell pairs, Fibonacci self-similarity resonance, and monotonic signal scaling with geometric coupling strength. We identify the fine structure constant (α ≈ 1/137) as the coupling coefficient between geometric coherence and entropic deficit, and propose that quantum noise may contain structured geometric signal. The paper includes discussion of the Srivastava Formalism, where operator-level ΛG produces super-quantum correlations (S ≈ 2.852) with implications for the Tsirelson bound. Full simulation code (Python) and interactive visualization (React) are included as supplementary materials.

Keywords

measurement problem, wavefunction collapse, geometric resolution, Born Rule, golden ratio, fine structure constant, quantum foundations, boundary conditions, phi-coherence, entropic deficit, bell inequality, consciousness, observer effect, information theory, computational physics

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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!
0
Average
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