Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

Informational Singularity Intersection (ISI) Hypothesis: Physical Constants as Dimensional Singularities and Fractional Operator Hierarchies

Authors: Papp, László;

Informational Singularity Intersection (ISI) Hypothesis: Physical Constants as Dimensional Singularities and Fractional Operator Hierarchies

Abstract

We propose the Informational Singularity Intersection (ISI) Hypothesis: physical reality emerges as the intersection of singularities across multiple dimensions, where each dimension is infinite in its own metric but appears finite to observers constrained to lower-dimensional projections. We introduce five Intersection Projection Axioms (IPA-1 through IPA-5). IPA-1 states that all fundamental physical constants represent projection singularities — each is infinite in its own dimension, appearing finite only through stereographic-type projection onto our observational manifold. IPA-2 extends this to information: the base unit of information (the d_bit) is an infinite-dimensional quantum superposition pre-measurement. IPA-3 generalises the fractal dimension parameter from d ∈ [0,1] to d ∈ [0,∞) for every dimension. We demonstrate that the arithmetic operator hierarchy maps onto a continuous α-axis (α = 2 − d_H, where d_H is the Hausdorff dimension), connecting classical calculus (α=1), quantum mechanics (α=0, d_H=2, as confirmed by Feynman path integrals), and the ISI singularity (α→−∞). Time is reframed not as a dimension but as emergent ordering arising at the d_H=1 boundary. Consciousness is proposed as a self-referential fixpoint of the d_H reduction process (IPA-5). Experimental grounding is provided by the recent observation of negative weak values for photon dwell time (Angulo et al., Physical Review Letters, 2026, DOI: 10.1103/gjfq-k9dv), interpreted here as a projection crossing the Riemann sphere pole.

This working paper is released to establish priority and invite critical engagement. Supplementary files include an interactive physical constants catalog (HTML), a research thread map (HTML), and a full derivation context document (Markdown). The authors note that even a hypothesis subsequently shown to be incorrect has scientific value if it motivates rigorous investigation.Affiliated project: EquoraVault (ESP32-S3 IoT/blockchain platform) — the decoherence ISI formula (d_eff(N)→1 as N→∞) has direct application to the Holographic Fractal Ledger (HFL) consensus mechanism.

Keywords

Feynman path integral, quantum mechanics, Hausdorff dimension, fractional calculus, physical constants, consciousness, dimensional singularities, emergent time, operator hierarchy, fine structure constant, Riemann sphere, Ackermann function, decoherence, fractal geometry, information theory

  • 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