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Logarithmic Light Spirals from Parabolic OAM Ramps and the Universal 1/E^2 Suppression Law

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  • Stanley, Dustyn

Abstract

Harvard’s recent demonstration showed that imposing a parabolic orbital-angular-momentum (OAM) ramp ℓ(z) ∝ z^2 on a beam produces intensity maxima tracing an exact logarithmic spiral. We present a concise theoretical derivation of this Light Spiral Relation, reproduce the core experimental observations, and place the result in the broader context of the universal 1/E^2 suppression law across physical systems. Key findings: - Light Spiral Geometry: Parabolic OAM ramps yield θ(r) = (1/2) ln(r/r0). - Experimental Validation: Intensity peaks measured at multiple z-planes collapse onto a single log-spiral curve within 3% uncertainty. - Suppression Connection: Peak intensities follow f(ℓ) = 1 / [1 + (ℓ/ℓ0)^2], mirroring suppression in LIGO shot-noise, qubit T2, and BEI transitions.

Suggested Citation

  • Stanley, Dustyn, 2025. "Logarithmic Light Spirals from Parabolic OAM Ramps and the Universal 1/E^2 Suppression Law," OSF Preprints jsw2c_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:jsw2c_v1
    DOI: 10.31219/osf.io/jsw2c_v1
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