Igor Petrovic - Academia.edu (original) (raw)
Papers by Igor Petrovic
In this paper, we delve into the potential implications of the Aharonov-Bohm effect on the conven... more In this paper, we delve into the potential implications of the Aharonov-Bohm effect on the conventional interpretation of the wave function, suggesting that the effect may reveal deeper connections between quantum mechanics and electromagnetic potentials. We extend this exploration by investigating the relationship between zitterbewegung, the rapid oscillatory motion of electrons, and their observable motion. We propose that the electron's wave function could be interpreted as a manifestation of oscillatory changes in its electromagnetic potentials. These changes are influenced by both the intrinsic zitterbewegung oscillations, which arise from the electron's rest energy, and the electron's momentum-dependent motion through space. Furthermore, we consider how this interpretation can provide a physical basis for phenomena such as quantum interference and phase shifts, offering a new perspective on the role of electromagnetic potentials in quantum mechanics. Through this approach, we aim to bridge the gap between classical electromagnetic theory and quantum mechanical descriptions, potentially leading to novel insights into the nature of quantum systems.
This paper first highlights the need to consider a new interpretation of General Relativity, wher... more This paper first highlights the need to consider a new interpretation of General Relativity, where spacetime curvature is seen as emergent and the observed effects of gravity are the result of modifications to the quantum vacuum. Starting from the implications derived from the analysis of time dilation and the Unruh effect in a gravitational field, we hypothesize that the increased energy density of the quantum vacuum is fundamental to gravitational phenomena. The increased energy density of the quantum vacuum results in intensified rotational fluctuations of spacetime, leading to emergent spacetime curvature. The proposed new interpretation of General Relativity does not require changes to the existing equations. It enables the elimination of singularities, offers new explanations for effects attributed to dark matter and dark energy, and suggests pathways toward the potential unification of gravity and quantum theory.
This paper explores speculative concepts that offer innovative insights into the nature of quantu... more This paper explores speculative concepts that offer innovative insights into the nature of quantum phenomena. We propose a hypothesis involving two cycles within quantum systems: one involving interaction with the environment and the other involving internal evolution. Additionally, we suggest that superposition could be considered an emergent phenomenon arising from rapid temporal state changes within the quantum system. We explore four scenarios based on two variables: whether state alternation is stochastic or deterministic, and whether measurement can interrupt the internal evolution cycle. By analyzing these scenarios, we aim to provide a nuanced perspective on quantum measurement and entanglement, opening avenues for further theoretical and experimental research in quantum physics.
This paper explores the speculative notion that black holes may not possess singularities, and ex... more This paper explores the speculative notion that black holes may not possess singularities, and examines the potential connection between fermion spin and spacetime. Challenging the traditional concept of point-like singularities in black holes, we propose that even the strongest gravitational fields cannot fully overcome fermion degeneracy pressure, as governed by the Pauli exclusion principle. This leads to the hypothesis that black hole cores might consist of extremely dense but finite states of matter where quantum effects play a crucial role. Furthermore, we suggest that local spacetime curvature might underlie both the spin and stability of fermions, proposing that the intrinsic angular momentum of fermions could be a manifestation of localized spacetime rotations. By linking these ideas to quantum gravity theories, we open new avenues for understanding the quantum nature of black holes and the fundamental structure of the universe. This paper proposes innovative research directions to test these speculative concepts, potentially revolutionizing our comprehension of black holes, quantum gravity, and spacetime.
In contemporary physics, the characterization of elementary particles as point-like entities pose... more In contemporary physics, the characterization of elementary particles as point-like entities poses significant conceptual challenges. This paper explores the implications of reconsidering this assumption, proposing a paradigm shift towards viewing matter as an emergent phenomena of discrete space. By questioning the fundamental nature of particles and space, we delve into the concept of primordial matter and the discreteness of space at the Planck scale. We propose that emergent fluid dynamics within discrete space may underlie the behavior of matter and energy, offering insights into the origins of fundamental forces and the nature of gravity. While our ideas remain speculative, they provide a novel framework for understanding the fundamental nature of reality, inviting further theoretical exploration and potential experimental validation.
This paper explores the philosophical interpretations of the wave function in quantum mechanics, ... more This paper explores the philosophical interpretations of the wave function in quantum mechanics, examining both epistemological and ontological perspectives. It considers how interference and diffraction phenomena support the ontological view and proposes that the wave function may describe the influence of particle motion on the quantum vacuum. It presents a hypothesis that superposition may emerge from the chaotic motion of particles and a memory effect within the quantum vacuum, offering a new framework for understanding quantum theory and addressing the measurement problem.
This paper explores the role of spacetime fluctuations in the creation of elementary particle pai... more This paper explores the role of spacetime fluctuations in the creation of elementary particle pairs. It investigates the connection between increased energy density in the quantum vacuum and spacetime fluctuations on larger scales. The study proposes a mechanism where spacetime fluctuations influence particle formation, bridging quantum mechanics and general relativity. While speculative, these ideas prompt further exploration in philosophy and theoretical physics.
This study examines the concept of emergent spacetime curvature within quantum vacuum dynamics, c... more This study examines the concept of emergent spacetime curvature within quantum vacuum dynamics, challenging conventional gravitational theories. The analysis emphasizes the potential connection between gravity and the gradient of energy density in the quantum vacuum, exploring implications for reconciling quantum mechanics with General Relativity. This perspective prompts a reevaluation of gravitational dynamics and underscores the need for a new theoretical framework to unify observations across different scales.
We analyze the impact of interaction with the environment on the slowing down of time evolution, ... more We analyze the impact of interaction with the environment on the slowing down of time evolution, wherein time dilation can be observed as one aspect of this process. Our findings indicate an intensified interaction with the environment within the gravitational field. We discuss the possible implications of these findings for theoretical physics, particularly in relation to the fundamental nature of gravity and its potential connection to the gradient of quantum vacuum energy, as well as why mass influences the formation of this gradient.
Journal of Physics: Condensed Matter, Apr 18, 2018
Physical review, Jan 3, 2020
arXiv (Cornell University), Dec 1, 2018
We pursue the quantum-mechanical challenge to the efficient market hypothesis for the stock marke... more We pursue the quantum-mechanical challenge to the efficient market hypothesis for the stock market by employing the quantum Brownian motion model. We utilize the quantum Caldeira-Leggett master equation as a possible phenomenological model for the stock-market-prices fluctuations while introducing the external harmonic field for the Brownian particle. Two quantum regimes are of particular interest: the exact regime as well as the approximate regime of the pure decoherence ("recoilless") limit of the Caldeira-Leggett equation. By calculating the standard deviation and the kurtosis for the particle's position observable, we can detect deviations of the quantummechanical behavior from the classical counterpart, which bases the efficient market hypothesis. By varying the damping factor, temperature as well as the oscillator's frequency, we are able to provide interpretation of different economic scenarios and possible situations that are not normally recognized by the efficient market hypothesis. Hence we recognize the quantum Brownian oscillator as a possibly useful model for the realistic behavior of stock prices.
Facta universitatis - series: Physics, Chemistry and Technology, 2017
We derive explicit expressions for the first and second moments as well as the correlation functi... more We derive explicit expressions for the first and second moments as well as the correlation function for a planar (one-dimensional) quantum Brownian rotator placed in the external harmonic potential. Our results directly provide the standard deviations for the azimuthal angle and the canonically conjugate angular momentum for the rotator. We find that there are some significant physical differences between this model and the free rotator model, which is well investigated in the literature.
In this paper, we delve into the potential implications of the Aharonov-Bohm effect on the conven... more In this paper, we delve into the potential implications of the Aharonov-Bohm effect on the conventional interpretation of the wave function, suggesting that the effect may reveal deeper connections between quantum mechanics and electromagnetic potentials. We extend this exploration by investigating the relationship between zitterbewegung, the rapid oscillatory motion of electrons, and their observable motion. We propose that the electron's wave function could be interpreted as a manifestation of oscillatory changes in its electromagnetic potentials. These changes are influenced by both the intrinsic zitterbewegung oscillations, which arise from the electron's rest energy, and the electron's momentum-dependent motion through space. Furthermore, we consider how this interpretation can provide a physical basis for phenomena such as quantum interference and phase shifts, offering a new perspective on the role of electromagnetic potentials in quantum mechanics. Through this approach, we aim to bridge the gap between classical electromagnetic theory and quantum mechanical descriptions, potentially leading to novel insights into the nature of quantum systems.
This paper first highlights the need to consider a new interpretation of General Relativity, wher... more This paper first highlights the need to consider a new interpretation of General Relativity, where spacetime curvature is seen as emergent and the observed effects of gravity are the result of modifications to the quantum vacuum. Starting from the implications derived from the analysis of time dilation and the Unruh effect in a gravitational field, we hypothesize that the increased energy density of the quantum vacuum is fundamental to gravitational phenomena. The increased energy density of the quantum vacuum results in intensified rotational fluctuations of spacetime, leading to emergent spacetime curvature. The proposed new interpretation of General Relativity does not require changes to the existing equations. It enables the elimination of singularities, offers new explanations for effects attributed to dark matter and dark energy, and suggests pathways toward the potential unification of gravity and quantum theory.
This paper explores speculative concepts that offer innovative insights into the nature of quantu... more This paper explores speculative concepts that offer innovative insights into the nature of quantum phenomena. We propose a hypothesis involving two cycles within quantum systems: one involving interaction with the environment and the other involving internal evolution. Additionally, we suggest that superposition could be considered an emergent phenomenon arising from rapid temporal state changes within the quantum system. We explore four scenarios based on two variables: whether state alternation is stochastic or deterministic, and whether measurement can interrupt the internal evolution cycle. By analyzing these scenarios, we aim to provide a nuanced perspective on quantum measurement and entanglement, opening avenues for further theoretical and experimental research in quantum physics.
This paper explores the speculative notion that black holes may not possess singularities, and ex... more This paper explores the speculative notion that black holes may not possess singularities, and examines the potential connection between fermion spin and spacetime. Challenging the traditional concept of point-like singularities in black holes, we propose that even the strongest gravitational fields cannot fully overcome fermion degeneracy pressure, as governed by the Pauli exclusion principle. This leads to the hypothesis that black hole cores might consist of extremely dense but finite states of matter where quantum effects play a crucial role. Furthermore, we suggest that local spacetime curvature might underlie both the spin and stability of fermions, proposing that the intrinsic angular momentum of fermions could be a manifestation of localized spacetime rotations. By linking these ideas to quantum gravity theories, we open new avenues for understanding the quantum nature of black holes and the fundamental structure of the universe. This paper proposes innovative research directions to test these speculative concepts, potentially revolutionizing our comprehension of black holes, quantum gravity, and spacetime.
In contemporary physics, the characterization of elementary particles as point-like entities pose... more In contemporary physics, the characterization of elementary particles as point-like entities poses significant conceptual challenges. This paper explores the implications of reconsidering this assumption, proposing a paradigm shift towards viewing matter as an emergent phenomena of discrete space. By questioning the fundamental nature of particles and space, we delve into the concept of primordial matter and the discreteness of space at the Planck scale. We propose that emergent fluid dynamics within discrete space may underlie the behavior of matter and energy, offering insights into the origins of fundamental forces and the nature of gravity. While our ideas remain speculative, they provide a novel framework for understanding the fundamental nature of reality, inviting further theoretical exploration and potential experimental validation.
This paper explores the philosophical interpretations of the wave function in quantum mechanics, ... more This paper explores the philosophical interpretations of the wave function in quantum mechanics, examining both epistemological and ontological perspectives. It considers how interference and diffraction phenomena support the ontological view and proposes that the wave function may describe the influence of particle motion on the quantum vacuum. It presents a hypothesis that superposition may emerge from the chaotic motion of particles and a memory effect within the quantum vacuum, offering a new framework for understanding quantum theory and addressing the measurement problem.
This paper explores the role of spacetime fluctuations in the creation of elementary particle pai... more This paper explores the role of spacetime fluctuations in the creation of elementary particle pairs. It investigates the connection between increased energy density in the quantum vacuum and spacetime fluctuations on larger scales. The study proposes a mechanism where spacetime fluctuations influence particle formation, bridging quantum mechanics and general relativity. While speculative, these ideas prompt further exploration in philosophy and theoretical physics.
This study examines the concept of emergent spacetime curvature within quantum vacuum dynamics, c... more This study examines the concept of emergent spacetime curvature within quantum vacuum dynamics, challenging conventional gravitational theories. The analysis emphasizes the potential connection between gravity and the gradient of energy density in the quantum vacuum, exploring implications for reconciling quantum mechanics with General Relativity. This perspective prompts a reevaluation of gravitational dynamics and underscores the need for a new theoretical framework to unify observations across different scales.
We analyze the impact of interaction with the environment on the slowing down of time evolution, ... more We analyze the impact of interaction with the environment on the slowing down of time evolution, wherein time dilation can be observed as one aspect of this process. Our findings indicate an intensified interaction with the environment within the gravitational field. We discuss the possible implications of these findings for theoretical physics, particularly in relation to the fundamental nature of gravity and its potential connection to the gradient of quantum vacuum energy, as well as why mass influences the formation of this gradient.
Journal of Physics: Condensed Matter, Apr 18, 2018
Physical review, Jan 3, 2020
arXiv (Cornell University), Dec 1, 2018
We pursue the quantum-mechanical challenge to the efficient market hypothesis for the stock marke... more We pursue the quantum-mechanical challenge to the efficient market hypothesis for the stock market by employing the quantum Brownian motion model. We utilize the quantum Caldeira-Leggett master equation as a possible phenomenological model for the stock-market-prices fluctuations while introducing the external harmonic field for the Brownian particle. Two quantum regimes are of particular interest: the exact regime as well as the approximate regime of the pure decoherence ("recoilless") limit of the Caldeira-Leggett equation. By calculating the standard deviation and the kurtosis for the particle's position observable, we can detect deviations of the quantummechanical behavior from the classical counterpart, which bases the efficient market hypothesis. By varying the damping factor, temperature as well as the oscillator's frequency, we are able to provide interpretation of different economic scenarios and possible situations that are not normally recognized by the efficient market hypothesis. Hence we recognize the quantum Brownian oscillator as a possibly useful model for the realistic behavior of stock prices.
Facta universitatis - series: Physics, Chemistry and Technology, 2017
We derive explicit expressions for the first and second moments as well as the correlation functi... more We derive explicit expressions for the first and second moments as well as the correlation function for a planar (one-dimensional) quantum Brownian rotator placed in the external harmonic potential. Our results directly provide the standard deviations for the azimuthal angle and the canonically conjugate angular momentum for the rotator. We find that there are some significant physical differences between this model and the free rotator model, which is well investigated in the literature.