Ed Gerck - Academia.edu (original) (raw)

Papers by Ed Gerck

Research paper thumbnail of Arguments for Recalling WIPO RFC3

Research paper thumbnail of The Witness-Voting System

Lecture Notes in Computer Science, 2010

We present a new, comprehensive framework to qualitatively improve election outcome trustworthine... more We present a new, comprehensive framework to qualitatively improve election outcome trustworthiness, where voting is modeled as an information transfer process. Although voting is deterministic (all ballots are counted), information is treated stochastically using Information Theory. Error considerations, including faults, attacks, and threats by adversaries, are explicitly included. The influence of errors may be corrected to achieve an election outcome error as close to zero as desired (error-free), with a provably optimal design that is applicable to any type of voting, with or without ballots. Sixteen voting system requirements, including functional, performance, environmental and nonfunctional considerations, are derived and rated, meeting or exceeding current public-election requirements. The voter and the vote are unlinkable (secret ballot) although each is identifiable. The Witness-Voting System (Gerck, 2001) is extended as a conforming implementation of the provably optimal design that is error-free, transparent, simple, scalable, robust, receipt-free, universally-verifiable, 100% voter-verified, and end-to-end audited.

Research paper thumbnail of The Business of Electronic Voting

This work reports on a Financial Cryptography 2001 panel where we concentrated on the emerging bu... more This work reports on a Financial Cryptography 2001 panel where we concentrated on the emerging business of electronic voting.

Research paper thumbnail of <title>Thermal three-dimensional lithography in thermoset resins using CO<formula><inf><roman>2</roman></inf></formula> laser</title>

Laser Techniques for Surface Science, 1994

Research paper thumbnail of Solution of the Schrödinger equation for bound states in closed form

Physical Review A, 1982

A method to calculate the bound-state eigenvalues of the Schrödinger equation is presented. The m... more A method to calculate the bound-state eigenvalues of the Schrödinger equation is presented. The method uses a new diagonal representation of the Hamiltonian. The variational principle is applied to this diagonal representation and yields closed-form expressions of the form En=E(an+b) for the eigenvalues. Examples are presented for some quark potentials of current interest.

Research paper thumbnail of Scaling Laws for Rydberg Atoms in Magnetic Fields

Physical Review Letters, 1983

Research paper thumbnail of Quantum yields of I(2P1/2) for CF3I, C2F5I, i-C3F7I, n-C3F7I, n-C6F13I, and 1,2-C2F4I2 at 308 and 248 nm

The Journal of Chemical Physics, 1983

Research paper thumbnail of Stereolithography with thermosensitive resins using a CO2 laser

Journal of Applied Polymer Science, 1994

Research paper thumbnail of Quantum well lasers tunable by long wavelength radiation

Applied Physics Letters, 1984

Research paper thumbnail of Atomic mercury photodissociation laser in the visible

Optics Communications, 1981

Stimulated emission on two new pulsed laser lines in atomic mercury is reported. The laser emits ... more Stimulated emission on two new pulsed laser lines in atomic mercury is reported. The laser emits at 435.8 and 546.1 rim, corresponding to the transitions 7 3S 1 ~ 6 3P 1 and 7 3S l ~ 6 3P 0 of the neutral atomic mercury atom. Population inversion is generated by photodissociation of Hgl2 vapor with a KrF laser at 248 nm. 150 mJ of KrF laser radiation were focused into the HgI 2 cell by means of a cylindrical lens in a transverse pumping configuration. With a single end mirror pulses with a peak power of 3 kW and duration of approximately 1 ns were generated. The pumping mechanism is proposed to be a sequential three-photon process.

Research paper thumbnail of Guided waves and IR lasers

Applied Physics B-lasers and Optics, 1982

... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 1... more ... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 18.4 itm of CO 2 Molecule in the Various GDL-Mixtures DG Bakanov, AI Odintsov, and AI Fedoseev Moscow State University, Department of Physics~ SU-117234, Moscow, USSR A. Yu. ...

Research paper thumbnail of XeI(^2π_½-^2Σ_½) excimer emission at 13 µm

Optics Letters, 1982

ABSTRACT

Research paper thumbnail of Collisional enhancement of the I(52P12) emission at 1.3μm by parent molecules CF3I, C2F5I, i-C3F7I and n-C3F7I

Optics Communications, 1982

Research paper thumbnail of Continued fraction calculation of the eigenvalues of tridiagonal matrices arising from the Schroedinger equation

Journal of Computational and Applied Mathematics, 1980

The usual Sturmanian sequence for fmding the eigenvalues of a tridiagonal matrix arising from the... more The usual Sturmanian sequence for fmding the eigenvalues of a tridiagonal matrix arising from the radial Schroedinger equation is found to be unstable. A selfstabilising continued fraction approach is suggested.

Research paper thumbnail of Blue-green atomic photodissociation lasers in group IIb: Zn, Cd, and Hg

IEEE Journal of Quantum Electronics, 1981

... Blue-Green Atomic Photodissociation Lasers in Group Ilb: Zn, Cd, and Hg EDGARDO GERCK AND ERN... more ... Blue-Green Atomic Photodissociation Lasers in Group Ilb: Zn, Cd, and Hg EDGARDO GERCK AND ERNST FILL Abstract-Four new laser lines, two in atomic Zn at 481.1 and 472.2 nm and two in atomic Cd at 508.6 and 480.0 nm, are reported. ...

Research paper thumbnail of Guided waves and IR lasers

Applied Physics B Photophysics and Laser Chemistry, 1982

... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 1... more ... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 18.4 itm of CO 2 Molecule in the Various GDL-Mixtures DG Bakanov, AI Odintsov, and AI Fedoseev Moscow State University, Department of Physics~ SU-117234, Moscow, USSR A. Yu. ...

Research paper thumbnail of Eigenvalue translation method for mode calculations

Applied Optics, 1979

A new method is described for the first few modes calculations in a interferometer that has sever... more A new method is described for the first few modes calculations in a interferometer that has several advantages over the Allmat subroutine, the Prony method, and the Fox and Li method. In the illustrative results shown for some cases it can be seen that the eigenvalue translation method is typically 100-fold times faster than the usual Fox and Li method and ten times faster than Allmat.

Books by Ed Gerck

Research paper thumbnail of Galois Fields in Quantum Mechanics

Advances in Quantum Mechanics, 2020

Two papers, collected, as published at amazon.com.

Conference Presentations by Ed Gerck

Research paper thumbnail of Tri-state (or more...) Quantum Information Model

Moscow Quantum Informatics Conference, 2021

Classically, information processing and communication are described by a tri-state system. This h... more Classically, information processing and communication are described by a tri-state system. This has replaced the Boolean algebra of a two-state system, also in gate construction with physical systems. The most fundamental entity in today`s quantum theory of information is, however, still a two-state system, the qubit. This work corrects this stance, shows how a tri-state superposition system (called qtrust) using Galois numbers and trust analogy semantics for interconnects can be formulated in quantum mechanics, with unlimited number of states, that can: (1) represent quantum oscillations of probability, (2) reduce the influence of errors, (3) improve the signal, (4) connect to the Einstein A and B coefficients of the radiation model, (5) represent collective effects, and (6) explain the formation of an atomic spectral line with superradiance (Dicke) and superabsorpton.

Research paper thumbnail of On The Physical Representation Of Quantum Systems

Moscow Quantum Informatics Conference, 2021

The Schrödinger equation for bound states (SEBS) depends on a second derivative, that only exists... more The Schrödinger equation for bound states (SEBS) depends on a second derivative, that only exists iff the solution is continuous, which is -- by itself -- contradictory, and cannot be digitally calculated. Physical representations of quantum systems, cannot, thus, follow some computational aspects of quantum mechanics. This is solved by considering the SEBS depending on the curvature, which is expressed exactly as a difference equation, and variationally solved for natural numbers, representing the quantum energy levels. Exact representations are calculated for common and any potentials, including the Rydberg condition, associating any potential with a spectrum.

Research paper thumbnail of Arguments for Recalling WIPO RFC3

Research paper thumbnail of The Witness-Voting System

Lecture Notes in Computer Science, 2010

We present a new, comprehensive framework to qualitatively improve election outcome trustworthine... more We present a new, comprehensive framework to qualitatively improve election outcome trustworthiness, where voting is modeled as an information transfer process. Although voting is deterministic (all ballots are counted), information is treated stochastically using Information Theory. Error considerations, including faults, attacks, and threats by adversaries, are explicitly included. The influence of errors may be corrected to achieve an election outcome error as close to zero as desired (error-free), with a provably optimal design that is applicable to any type of voting, with or without ballots. Sixteen voting system requirements, including functional, performance, environmental and nonfunctional considerations, are derived and rated, meeting or exceeding current public-election requirements. The voter and the vote are unlinkable (secret ballot) although each is identifiable. The Witness-Voting System (Gerck, 2001) is extended as a conforming implementation of the provably optimal design that is error-free, transparent, simple, scalable, robust, receipt-free, universally-verifiable, 100% voter-verified, and end-to-end audited.

Research paper thumbnail of The Business of Electronic Voting

This work reports on a Financial Cryptography 2001 panel where we concentrated on the emerging bu... more This work reports on a Financial Cryptography 2001 panel where we concentrated on the emerging business of electronic voting.

Research paper thumbnail of <title>Thermal three-dimensional lithography in thermoset resins using CO<formula><inf><roman>2</roman></inf></formula> laser</title>

Laser Techniques for Surface Science, 1994

Research paper thumbnail of Solution of the Schrödinger equation for bound states in closed form

Physical Review A, 1982

A method to calculate the bound-state eigenvalues of the Schrödinger equation is presented. The m... more A method to calculate the bound-state eigenvalues of the Schrödinger equation is presented. The method uses a new diagonal representation of the Hamiltonian. The variational principle is applied to this diagonal representation and yields closed-form expressions of the form En=E(an+b) for the eigenvalues. Examples are presented for some quark potentials of current interest.

Research paper thumbnail of Scaling Laws for Rydberg Atoms in Magnetic Fields

Physical Review Letters, 1983

Research paper thumbnail of Quantum yields of I(2P1/2) for CF3I, C2F5I, i-C3F7I, n-C3F7I, n-C6F13I, and 1,2-C2F4I2 at 308 and 248 nm

The Journal of Chemical Physics, 1983

Research paper thumbnail of Stereolithography with thermosensitive resins using a CO2 laser

Journal of Applied Polymer Science, 1994

Research paper thumbnail of Quantum well lasers tunable by long wavelength radiation

Applied Physics Letters, 1984

Research paper thumbnail of Atomic mercury photodissociation laser in the visible

Optics Communications, 1981

Stimulated emission on two new pulsed laser lines in atomic mercury is reported. The laser emits ... more Stimulated emission on two new pulsed laser lines in atomic mercury is reported. The laser emits at 435.8 and 546.1 rim, corresponding to the transitions 7 3S 1 ~ 6 3P 1 and 7 3S l ~ 6 3P 0 of the neutral atomic mercury atom. Population inversion is generated by photodissociation of Hgl2 vapor with a KrF laser at 248 nm. 150 mJ of KrF laser radiation were focused into the HgI 2 cell by means of a cylindrical lens in a transverse pumping configuration. With a single end mirror pulses with a peak power of 3 kW and duration of approximately 1 ns were generated. The pumping mechanism is proposed to be a sequential three-photon process.

Research paper thumbnail of Guided waves and IR lasers

Applied Physics B-lasers and Optics, 1982

... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 1... more ... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 18.4 itm of CO 2 Molecule in the Various GDL-Mixtures DG Bakanov, AI Odintsov, and AI Fedoseev Moscow State University, Department of Physics~ SU-117234, Moscow, USSR A. Yu. ...

Research paper thumbnail of XeI(^2π_½-^2Σ_½) excimer emission at 13 µm

Optics Letters, 1982

ABSTRACT

Research paper thumbnail of Collisional enhancement of the I(52P12) emission at 1.3μm by parent molecules CF3I, C2F5I, i-C3F7I and n-C3F7I

Optics Communications, 1982

Research paper thumbnail of Continued fraction calculation of the eigenvalues of tridiagonal matrices arising from the Schroedinger equation

Journal of Computational and Applied Mathematics, 1980

The usual Sturmanian sequence for fmding the eigenvalues of a tridiagonal matrix arising from the... more The usual Sturmanian sequence for fmding the eigenvalues of a tridiagonal matrix arising from the radial Schroedinger equation is found to be unstable. A selfstabilising continued fraction approach is suggested.

Research paper thumbnail of Blue-green atomic photodissociation lasers in group IIb: Zn, Cd, and Hg

IEEE Journal of Quantum Electronics, 1981

... Blue-Green Atomic Photodissociation Lasers in Group Ilb: Zn, Cd, and Hg EDGARDO GERCK AND ERN... more ... Blue-Green Atomic Photodissociation Lasers in Group Ilb: Zn, Cd, and Hg EDGARDO GERCK AND ERNST FILL Abstract-Four new laser lines, two in atomic Zn at 481.1 and 472.2 nm and two in atomic Cd at 508.6 and 480.0 nm, are reported. ...

Research paper thumbnail of Guided waves and IR lasers

Applied Physics B Photophysics and Laser Chemistry, 1982

... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 1... more ... The maximum system efficiency of 25 % in Case-A and ... Laser Action on the Transition ), = 18.4 itm of CO 2 Molecule in the Various GDL-Mixtures DG Bakanov, AI Odintsov, and AI Fedoseev Moscow State University, Department of Physics~ SU-117234, Moscow, USSR A. Yu. ...

Research paper thumbnail of Eigenvalue translation method for mode calculations

Applied Optics, 1979

A new method is described for the first few modes calculations in a interferometer that has sever... more A new method is described for the first few modes calculations in a interferometer that has several advantages over the Allmat subroutine, the Prony method, and the Fox and Li method. In the illustrative results shown for some cases it can be seen that the eigenvalue translation method is typically 100-fold times faster than the usual Fox and Li method and ten times faster than Allmat.

Research paper thumbnail of Galois Fields in Quantum Mechanics

Advances in Quantum Mechanics, 2020

Two papers, collected, as published at amazon.com.

Research paper thumbnail of Tri-state (or more...) Quantum Information Model

Moscow Quantum Informatics Conference, 2021

Classically, information processing and communication are described by a tri-state system. This h... more Classically, information processing and communication are described by a tri-state system. This has replaced the Boolean algebra of a two-state system, also in gate construction with physical systems. The most fundamental entity in today`s quantum theory of information is, however, still a two-state system, the qubit. This work corrects this stance, shows how a tri-state superposition system (called qtrust) using Galois numbers and trust analogy semantics for interconnects can be formulated in quantum mechanics, with unlimited number of states, that can: (1) represent quantum oscillations of probability, (2) reduce the influence of errors, (3) improve the signal, (4) connect to the Einstein A and B coefficients of the radiation model, (5) represent collective effects, and (6) explain the formation of an atomic spectral line with superradiance (Dicke) and superabsorpton.

Research paper thumbnail of On The Physical Representation Of Quantum Systems

Moscow Quantum Informatics Conference, 2021

The Schrödinger equation for bound states (SEBS) depends on a second derivative, that only exists... more The Schrödinger equation for bound states (SEBS) depends on a second derivative, that only exists iff the solution is continuous, which is -- by itself -- contradictory, and cannot be digitally calculated. Physical representations of quantum systems, cannot, thus, follow some computational aspects of quantum mechanics. This is solved by considering the SEBS depending on the curvature, which is expressed exactly as a difference equation, and variationally solved for natural numbers, representing the quantum energy levels. Exact representations are calculated for common and any potentials, including the Rydberg condition, associating any potential with a spectrum.