Papers by Florin Moldoveanu
Proceedings of SPIE, Mar 8, 1995
We used the Riemann Problem Method with a 3 X 3 matrix system to find the single soliton solution... more We used the Riemann Problem Method with a 3 X 3 matrix system to find the single soliton solution for a perturbed nonlinear Schrodinger equation in the most compact form. The considered equation describes bright ultrashort pulse propagation in properly tailored monomode optical fibers. The propagation of different single soliton solutions under the influence of the self-induced Raman effect was
International Journal of Quantum Information, Jun 1, 2016
Recent quantum reconstruction projects demand pure unitary time evolution which seems to contradi... more Recent quantum reconstruction projects demand pure unitary time evolution which seems to contradict the collapse postulate. Inspired by Zurek's environment assisted invariance idea, a natural unitary realization of wavefunction collapse is proposed using Grothendieck group construction for the tensor product commutative monoid.
Journal of physics, Sep 7, 1993
Using the inverse scattering transform the authors found one-parameter and the breather-like four... more Using the inverse scattering transform the authors found one-parameter and the breather-like four-parameter soliton solutions of a perturbed nonlinear Schrodinger equation which describes the pulse propagation in optical fibres in the femtosecond regime.
Optical Engineering, Jun 1, 1996
We study the propagation over long distances under the influence of the Raman effect of certain s... more We study the propagation over long distances under the influence of the Raman effect of certain subpicosecond solitons, which are solutions of a perturbed nonlinear Schrodinger equation describing the propagation of light pulses in monomode optical fibers. We calculate the corresponding propagation distance limit due to the intrapulse Raman scattering soliton timing jitter. A formula that describes the soliton timing jitter effect due to the influence of amplified spontaneous emission noise on soliton group velocity induced by the coupling between amplitude and velocity is given and the propagation distance limit of soliton communication systems caused by this effect is evaluated.
Physical Review A, Aug 1, 1997
Using semiconductor Maxwell-Bloch equations, we analyze the response of an ensemble of 1s exciton... more Using semiconductor Maxwell-Bloch equations, we analyze the response of an ensemble of 1s excitons driven by a femtosecond optical pulse beyond the traditional approach of slowly varying amplitudes and phases. For optical pulses of a given duration, we show that the off-resonance optical field can evolve into a stable soliton. Besides hyperbolic-secant solitons, we find a single soliton with nonzero asymptotics that is stable against low-amplitude perturbations and whose form is not affected by collisions.
arXiv (Cornell University), Nov 25, 2013
Quantum and classical mechanics share a common algebraic formalism which is expressed naturally i... more Quantum and classical mechanics share a common algebraic formalism which is expressed naturally in the language of category theory. A third realization of this formalism is the socalled hyperbolic quantum mechanics where split-complex numbers replace the usual complex numbers. We introduce and explore the corresponding generalization of C*-algebras and prove that hyperbolic quantum mechanics is not a viable candidate for describing Nature. Quantum and classical mechanics are the only acceptable theories of Nature which are invariant under tensorial composition.
arXiv (Cornell University), Jan 26, 2010
Constructing the Theory of Everything (TOE) is an elusive goal of today's physics. Gödel's incomp... more Constructing the Theory of Everything (TOE) is an elusive goal of today's physics. Gödel's incompleteness theorem seems to forbid physics axiomatization, a necessary part of the TOE. The purpose of this contribution is to show how physics axiomatization can be achieved guided by a new heuristic rule. This will open up new roads into constructing the ultimate theory of everything. Three physical principles will be identified from the heuristic rule and they in turn will generate uniqueness results of various technical strengths regarding space, time, non-relativistic and relativistic quantum mechanics, electroweak symmetry and the dimensionality of space-time. The hope is that the strong force and the Standard Model axiomatizations are not too far out. Quantum gravity and cosmology are harder problems and maybe new approaches are needed. However, complete physics axiomatization seems to be an achievable goal, no longer part of philosophical discussions, but subject to rigorous mathematical proofs.
arXiv (Cornell University), Nov 18, 2012
We show that EPR's criterion of reality leads to contradictions in quantum mechanics. When locali... more We show that EPR's criterion of reality leads to contradictions in quantum mechanics. When locality is assumed, an inequality involving only one particle is violated, while when parameter and outcome dependence are assumed, EPR-realism is shown to be not Lorentz invariant. Quantum mechanics is both non-local and non-realistic.
arXiv (Cornell University), Mar 16, 2013
Quantum mechanics is an extremely successful theory of nature and yet it has resisted all attempt... more Quantum mechanics is an extremely successful theory of nature and yet it has resisted all attempts to date to have an intuitive axiomatization. In contrast, special theory of relativity is well understood and is rooted into natural or experimentally justified postulates. Here we show an axiomatization approach to quantum mechanics which is very similar with how special theory of relativity can be derived. The core idea is that of composing two systems and the fact that the composed system should have an invariant description in terms of dynamics. This leads to a Lie-Jordan algebraic formulation of quantum mechanics which can be converted into the usual Hilbert space formalism by the standard GNS construction. The starting assumptions are minimal: the existence of time and that of a configuration space which supports a tensor product as a way to compose two physical systems into a larger one.
arXiv (Cornell University), Jul 6, 2011
Version 2 note: Subsequent analysis disproved the mathematical consistency of Joy Christian's mod... more Version 2 note: Subsequent analysis disproved the mathematical consistency of Joy Christian's model. This paper was based on the assumption of the mathematical validity of the model. Except for the addition of this note, the content of this paper was not modified in any other way.
arXiv (Cornell University), Apr 23, 2007
General relativity allows solutions exhibiting closed timelike curves. Time travel generates para... more General relativity allows solutions exhibiting closed timelike curves. Time travel generates paradoxes and quantum mechanics generalizations were proposed to solve those paradoxes. The implications of selfconsistent interactions on acausal region of space-time are investigated. If the correspondence principle is true, then all generalizations of quantum mechanics on acausal manifolds are not renormalizable. Therefore quantum mechanics can only be defined on global hyperbolic manifolds and all general relativity solutions exhibiting time travel are unphysical.
arXiv (Cornell University), Jan 3, 2009
The purpose of this contribution is to provide an introduction for a general physics audience to ... more The purpose of this contribution is to provide an introduction for a general physics audience to the recent results of Emile Grgin that unifies quantum mechanics and relativity into the same mathematical structure. This structure is the algebra of quantions, a non-division algebra that is the natural framework for electroweak theory on curved space-time. Similar with quaternions, quantions preserve the core features of associativity and complex conjugation while giving up the unnecessarily historically biased property of division. Lack of division makes possible structural unification with relativity (one cannot upgrade the linear Minkowski space to a division algebra due to null light-cone vectors) and demands an adjustment from Born's standard interpretation of the wave function in terms of probability currents. This paper is an overview to the theory of quantions, followed by discussions.
arXiv (Cornell University), Sep 5, 2011
Four critical elementary mathematical mistakes in Joy Christian's counterexample to Bell's theore... more Four critical elementary mathematical mistakes in Joy Christian's counterexample to Bell's theorem are presented. Consequently, Joy Christian's hidden variable model cannot reproduce any quantum mechanics results and cannot be used as a counterexample to Bell's theorem. The mathematical investigation is followed by a short discussion about the possibility to construct other hidden variable theories. A tutorial section on relevant Clifford algebra topics was added at the end to help interested readers decide for themselves the validity of Joy Christian's claims. Also an appendix section discusses recent developments.
arXiv (Cornell University), May 21, 2015
Products and tensor products are linked by a universal property. Imposing the invariance of the l... more Products and tensor products are linked by a universal property. Imposing the invariance of the laws of Nature under tensor composition along with Leibniz identity determines quantum and classical mechanics algebraic structure through the interplay between products, coproducts, and the tensor product. Violations of Bell's inequalities distinguishes quantum from classical mechanics.
arXiv (Cornell University), Jul 29, 2014
Quantum and classical mechanics are derived using four natural physical principles: (1) the laws ... more Quantum and classical mechanics are derived using four natural physical principles: (1) the laws of nature are invariant under time evolution, (2) the laws of nature are invariant under tensor composition, (3) the laws of nature are relational, and (4) positivity (the ability to define a physical state). Quantum mechanics is singled out by a fifth experimentally justified postulate: nature violates Bell's inequalities.
The purpose of this contribution is to provide an introduction for a general physics audience to ... more The purpose of this contribution is to provide an introduction for a general physics audience to the recent results of Emile Grgin that unifies quantum mechanics and relativity into the same mathematical structure. This structure is the algebra of quantions, a non-division algebra that is the natural framework for electroweak theory on curved space-time. Similar with quaternions, quantions preserve the core features of associativity and complex conjugation while giving up the unnecessarily historically biased property of division. Lack of division makes possible structural unification with relativity (one cannot upgrade the linear Minkowski space to a division algebra due to null light-cone vectors) and demands an adjustment from Born's standard interpretation of the wave function in terms of probability currents. This paper is an overview to the theory of quantions, followed by discussions.
Four critical elementary mathematical mistakes in Joy Christian's counterexample to Bell'... more Four critical elementary mathematical mistakes in Joy Christian's counterexample to Bell's theorem are presented. Consequently, Joy Christian's hidden variable model cannot reproduce any quantum mechanics results and cannot be used as a counterexample to Bell's theorem. The mathematical investigation is followed by a short discussion about the possibility to construct other hidden variable theories. A tutorial section on relevant Clifford algebra topics was added at the end to help interested readers decide for themselves the validity of Joy's claims. Also an appendix section discusses recent developments.
Quantum mechanics is an extremely successful theory of nature and yet it lacks an intuitive axiom... more Quantum mechanics is an extremely successful theory of nature and yet it lacks an intuitive axiomatization. In contrast, the special theory of relativity is well understood and is rooted into natural or experimentally justified postulates. Here we introduce an axiomatization approach to quantum mechanics which is very similar to special theory of relativity derivation. The core idea is that a composed system obeys the same laws of nature as its components. This leads to a Jordan-Lie algebraic formulation of quantum mechanics. The starting assumptions are minimal: the laws of nature are invariant under time evolution, the laws of nature are invariant under tensor composition, the laws of nature are relational, together with the ability to define a physical state (positivity). Quantum mechanics is singled out by a fifth experimentally justified postulate: nature violates Bell’s inequalities. Quantum mechanics is a very unintuitive theory: it predicts only probabilistic outcomes but it...
Quantum and classical mechanics are derived using four natural physical principles: (1) the laws ... more Quantum and classical mechanics are derived using four natural physical principles: (1) the laws of nature are invariant under time evolution, (2) the laws of nature are invariant under tensor composition, (3) the laws of nature are relational, and (4) positivity (the ability to define a physical state). Quantum mechanics is singled out by a fifth experimentally justified postulate: nature violates Bell's inequalities.
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Papers by Florin Moldoveanu