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Procedural Design of Zero-Sum Trapping for Materially Programmable Photonic Memory and Noise Control

Michael Allan Bahtaji

Published Sep 3, 2026• 0 citations
Publisher

Abstract

ABSTRACTNoise and decoherence limit photonic quantum technologies. Current storage and noise suppression rely on cryogenics, atomic ensembles, or complex cavities, which face scalability challenges. Here we present a valid procedural design for Zero-Sum Trappin in homogeneous spherical dielectrics, where the net energy exchange over a recursive light path equals zero. We show that energy is cyclically transferred between the electromagnetic field, bound electron spin, and the local gravitational gradient. Inside the lens, the E-field slows electron spin velocity while the B-field twists the spin axis by angle ϕ, constrained by a material-dependent critical threshold {\phi }_{crit}. At the sphere boundary, cross-boundary magnetic amplitude transfers from escaping to returning light causes enhanced deflection and Gravity-Guided Return, enabling recursive closure. Crucially, the process is materially programmable. The trapping threshold A_{trap} and storage time {\tau }_{s} are set by chemical composition X, spectral pattern n\left(\omega ,X\right), polarization conductivity {\sigma }_{pol}, and thermal conductivity κ. By amplitude-gating the input below A_{trap}, we achieve100% trapping with destructive interference E_{net}=0. We demonstrate two applications of this procedural design: 1) Noise excretion by filtering high-amplitude photons, and 2) Room-temperature data storage in a Dual-Laser Interference Quantum Capacitor with {\tau }_{s} from 1 ns to 10 μs. This work establishes a pathway for engineering photonic memory and noise control through material and geometry rather than temperature.

DOI
10.5281/zenodo.22262510

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ABSTRACTNoise and decoherence limit photonic quantum technologies. Current storage and noise suppression rely on cryogenics, atomic ensembles, or complex cavities, which face scalability challenges. Here we present a valid procedural design for Zero-Sum Trappin in homogeneous spherical dielectrics, where the net energy exchange over a recursive light path equals zero. We show that energy is cyclically transferred between the electromagnetic field, bound electron spin, and the local gravitational gradient. Inside the lens, the E-field slows electron spin velocity while the B-field twists the spin axis by angle ϕ, constrained by a material-dependent critical threshold {\phi }{crit}. At the sphere boundary, cross-boundary magnetic amplitude transfers from escaping to returning light causes enhanced deflection and Gravity-Guided Return, enabling recursive closure. Crucially, the process is materially programmable. The trapping threshold A{trap} and storage time {\tau }{s} are set by chemical composition X, spectral pattern n\left(\omega ,X\right), polarization conductivity {\sigma }{pol}, and thermal conductivity κ. By amplitude-gating the input below A_{trap}, we achieve100% trapping with destructive interference E_{net}=0. We demonstrate two applications of this procedural design: 1) Noise excretion by filtering high-amplitude photons, and 2) Room-temperature data storage in a Dual-Laser Interference Quantum Capacitor with {\tau }_{s} from 1 ns to 10 μs. This work establishes a pathway for engineering photonic memory and noise control through material and geometry rather than temperature.
ABSTRACTPhotonic quantum memory and optical computing are constrained by cryogenic requirements and decoherence from noise. Here we propose a mechanism to overcome these limits using spherical geometry. We introduce the concept of Zero-Sum Trapping enabled by an Absolute Penetrating Field (APF) within a dielectric sphere. The theoretical framework predicts that light entering the sphere couples to the entire volume and undergoes recursive diffraction at Converting Field micro capacitors. Each diffraction event, termed a "Bending Ignitor", induces electron fluctuation and 𝜋-phase inversion, leading to fractal stretching of Δ𝑡 and the formation of recursive subfringes. Critically, this process enables a quasi-photonic phenomenon wherein the light fully enters, interacts, and returns to the source aperture via destructive interference 𝐼in + 𝐼out = 0. This manifests as apparent negative group delay without violating causality, offering an alternative explanation for prior observations. Furthermore, the paper establishes a direct analogy to semiconductor technology. We predict that optical noise can be suppressed by cascading spherical lenses, with Noise ∝ 1/𝑁, where N is the number of spheres. This establishes the spherical lens as a candidate "photonic transistor" and provides a scalable pathway to room temperature photonic microchips. ‘Theoretical modeling’ predicts key metrics of 𝑇out = 0.003, zero scatter, and zero heating at T=298 K. This proposal bridges quantum memory and classical computing, suggesting that information can be stored in fractal phase states rather than charge states. Experimental validation is proposed to confirm the predicted 1/N scaling and quasiphotonic return.Keywords: Quantum Memory, Room-Temperature Photonics, Zero-Sum Trapping, AbsolutePenetrating Fields (APF), Fractal Sub fringes, Negative Group Delay
Geometric Zero-Sum Trapping: From Euclidean Curvature to Electron-Spin Qubits for Room-Temperature Photonic Memory Abstract We introduce Geometric Zero-Sum Trapping, where input intensity tunes the effective optical curvature of a dielectric sphere and nanofiber via an optical analog of Euler’s relation. High intensity drives self-retracing path density, pushing geometry from non-Euclidean to near-Euclidean with trapping coefficient B ≈ 1. Low intensity yields B ≪ 1, enabling ns release. We link this geometric transition to collective electron spin deflection in reflection, refraction, and diffraction. The mechanism scales to the atomic limit, enabling light storage in a single electron spin without a physical cavity, providing a path to room-temperature photonic bits.
Zero-Sum Trapping in Spherical Optics for Room-Temperature Photonic Quantum Memoryand MicrochipsMichael Allan A. Bahtaji, Ph.D.Physics Department, Technological University of the Philippinesmichaelallan_bahtaji@tup.edu.phmichaelallanbahtaji336@gmail.comABSTRACTPhotonic quantum memory and optical computing are constrained by cryogenic requirementsand decoherence from noise. Here we propose a mechanism to overcome these limits usingspherical geometry. We introduce the concept of Zero-Sum Trapping enabled by an AbsolutePenetrating Field (APF) within a dielectric sphere. The theoretical framework predicts that lightentering the sphere couples to the entire volume and undergoes recursive diffraction atConverting Field micro capacitors. Each diffraction event, termed a "Bending Ignitor", induceselectron fluctuation and 𝜋-phase inversion, leading to fractal stretching of Δ𝑡 and the formationof recursive subfringes. Critically, this process enables a quasi-photonic phenomenon wherein thelight fully enters, interacts, and returns to the source aperture via destructive interference 𝐼in +𝐼out = 0. This manifests as apparent negative group delay without violating causality, offering analternative explanation for prior observations. Furthermore, the paper establishes a directanalogy to semiconductor technology. We predict that optical noise can be suppressed bycascading spherical lenses, with Noise ∝ 1/𝑁, where N is the number of spheres. This establishesthe spherical lens as a candidate "photonic transistor" and provides a scalable pathway to room-temperature photonic microchips. ‘Theoretical modeling’ predicts key metrics of 𝑇out = 0.003,zero scatter, and zero heating at T=298 K. This proposal bridges quantum memory and classicalcomputing, suggesting that information can be stored in fractal phase states rather than chargestates. Experimental validation is proposed to confirm the predicted 1/N scaling and quasi-photonic return.Keywords: Quantum Memory, Room-Temperature Photonics, Zero-Sum Trapping, AbsolutePenetrating Fields (APF), Fractal Sub fringes, Negative Group Delay
Geometric Zero-Sum Trapping: From Euclidean Curvature to Electron-Spin Qubits for Room-Temperature Photonic Memory Abstract We introduce Geometric Zero-Sum Trapping, where input intensity tunes the effective optical curvature of a dielectric sphere and nanofiber via an optical analog of Euler’s relation. High intensity drives self-retracing path density, pushing geometry from non-Euclidean to near-Euclidean with trapping coefficient B ≈ 1. Low intensity yields B ≪ 1, enabling ns release. We link this geometric transition to collective electron spin deflection in reflection, refraction, and diffraction. The mechanism scales to the atomic limit, enabling light storage in a single electron spin without a physical cavity, providing a path to room-temperature photonic bits.
Spherical optics are shown to enable room-temperature photonic quantum memory and pro7 cessing via zero-sum energy trapping. We introduce a mechanism wherein light entering a sphere couples through an Absolute Penetrating Field and undergoes recursive diffraction at Converting Field microcapacitors. Each diffraction event, or ”Bending Ignitor,” induces electron fluctuation and phase inversion, leading to fractal stretching of ∆t and formation of subfringes. The stretched field is returned to the source aperture with Iin +Iout = 0, manifesting as apparent negative group delay without violating causality—a quasi-photonic phenomenon summarized as ”it appears not to enter, but it does.” We further show that optical noise is suppressed by cascading spheres, with Noise ∝ 1/N, directly analogous to transistor stacking in CMOS. This establishes the spherical lens as a photonic transistor and provides a pathway to room-temperature photonic microchips. Theoretical modeling predicts Tout = 0.003, zero scatter, and zero heating. This work reconciles group delay paradoxes and offers a scalable architecture for next-generation optical computing.
Geometric Zero-Sum Trapping in Spherical to Nanofiber Optics for Room-Temperature Photonic Memory michael allan a. bahtaji, ph.d. 1Department of Physics, Technological University of the Philippines Ayala bopulevard Ermita Maila Philippines 1000 *michaelallanbahtaji336@gmail.com; michaelallan_bahtaji@tup.edu.ph Received XX Month XXXX; revised XX Month, XXXX; accepted XX Month XXXX; posted XX Month XXXX (Doc. ID XXXXX); published XX Month XXXX ABSTRACT Photonic quantum memory is limited by cryogenic cooling and decoherence. We propose that the limitation is geometric. We introduce Geometric Zero-Sum Trapping: light in a dielectric cavity undergoes self-retracing propagation enforced by boundary geometry, yielding and B ≈ 1. Using Euclidean geometry, we derive the propagator for a sphere, prolate ellipse, and nanofiber. In a sphere, refraction through the center with a π phase shift forms a standing wave. Deforming to an ellipse splits the center into two foci. In the limit a >> b, this reduces to end-to-end retracing in a fiber. The resonance condition 2knRcosθ = (2m+1)π holds for all geometries. Room-temperature diffraction fringes from a spherical lens confirm standing-wave formation. Femtosecond-laser fabrication enables fiber integration for photonic microchips. Keywords: Geometric trapping, photonic quantum memory, zero-sum interference, room-temperature photonics, nanofiber, femtosecond laser fabrication, standing wave