Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

World Scientific series in contemporary chemical physics

Towards a Nonlinear Quantum Physics

J. R. Croca

Published Dec 1, 2002• 13 citations
Publisher

Abstract

The author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.

DOI
10.1142/5141

Related papers

Towards a Nonlinear Quantum Physics

J. R. Croca

Complementarity Principle and the Nonlocal Fourier Analysis New Generation of Microscopes Beyond Heisenberg's Uncertainty Relations The Meaning of the Wave Function Interference Without Superposition of the Wave Packets.

World Scientific series in contemporary chemical physics•Jan 1, 2002•25 citations

Quantum Foundations

Pedro W. Lamberti, G. M. Bosyk, Sebastián Fortín +1 more

Since its conception 90 years ago, the quantum uncertainty principle introduced by Werner Heisenberg lies behind most important features of quantum physics, and its implications have an impact that goes far beyond the physics community. This book focuses on the quantum uncertainty principle, providing an up-to-date examination of recent developments of its applications in quantum information theory. The book brings together several renowned experts working in the foundations of quantum mechanics and quantum information theory. The authors provide different approaches to the study of uncertainty relations and other fundamental aspects of the quantum formalism. Topics addressed include entanglement and Bell inequalities, the application of entropic information measures to the study of uncertainty inequalities, the characterization of deep learning networks in the context of adiabatic quantum computation, and the study of general properties of the set of quantum states. The content of this book will surely benefit both experienced and new researchers specializing in quantum information theory and the foundations of quantum mechanics.

MDPI eBooks•Apr 2, 2019•0 citations

Fourier Ontology versus Wavelet Local Analysis a Test for the General Validity of Orthodox Mechanics Against the Nonlinear Causal Quantum Physics

J. R. Croca, Augusto Garuccio

Fourier ontology claims that only the physically inexistent abstract harmonic plane waves do have a pure perfect frequency, therefore, a finite wave being in this ontology a sum of many harmonic plane waves cannot have a single pure frequency. The causal nonlinear approach based onto the more general wavelet analysis assumes that a finite wave may indeed have a single frequency. An experimental process is proposed for testing nonlocal and nontemporal Fourier ontology against local wavelet analysis. The experiment also checks the general validity of Heisenberg indetermination relations. The proposed experiment uses an asymmetric Mach-Zehnder interferometer and increasingly better monochromators.

Advanced Science Letters•Jun 1, 2010•1 citation

Reconciling Newton's Religious Causality and Heisenberg's Atheistic Uncertainty. A Paradigm Shift in Physics.

Wim Vegt

The pivotal shift in Physics initiated by Erwin Heisenberg's seminal work in 1925 marked a significant departure from classical paradigms towards what is now known as modern quantum physics. Heisenberg's groundbreaking paper, "On the quantum-theoretical reinterpretation of kinematical and mechanical relationships," commonly referred to as "Die Umdeutung," heralded a radical transformation in the foundation of physics. By replacing the traditional religious notion of "Causality" with an atheistic concept of "Probability," Heisenberg's work revolutionized the field. The removal of "Causality" challenged the religious underpinning of physics, leading to a reevaluation of fundamental principles. This shift, epitomized by the Heisenberg Uncertainty Principle, transformed the deterministic worldview into a probabilistic one, sparking debates on the nature of existence and human agency.The ramifications of this paradigm shift extended beyond theoretical discourse. The ethical implications of scientific advancements, exemplified by the development of the atomic bomb during World War II, underscored the complex interplay between physics, morality, and political ideologies. The juxtaposition of Heisenberg's involvement in Nazi Germany's atomic research and Oppenheimer's leadership in the Manhattan Project highlighted the ethical dilemmas faced by scientists in wartime.Moreover, the integration of Heisenberg's Uncertainty Principle with Newton's Causality Principle rekindles discussions on the interconnectedness of Physics, Philosophy, and Theology. The quest for a unified framework underscores the importance of reconciling divergent perspectives to forge a coherent understanding of the universe. This synthesis seeks to bridge the gap between classical paradigms and modern quantum theory, offering new insights into the intertwined fabric of physical laws and metaphysical beliefs.

•May 28, 2024•0 citations

Nonlinear quantum mechanics is a classical theory

S?awomir Bugajski

International Journal of Theoretical Physics•Jul 1, 1991•31 citations

A General Framework for Nonlinear Quantum Dynamics

S. Gheorghiu-Svirschevski

We outline an approach that streamlines considerably the construction and analysis of well-behaved nonlinear quantum dynamics, with completely positive extensions to entangled systems. A few notes are added on the issue of quantum measurements under a nonlinear dynamics.

arXiv:quant-ph/0207042•Jul 8, 2002•6 citations
The author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.
Since its conception 90 years ago, the quantum uncertainty principle introduced by Werner Heisenberg lies behind most important features of quantum physics, and its implications have an impact that goes far beyond the physics community. This book focuses on the quantum uncertainty principle, providing an up-to-date examination of recent developments of its applications in quantum information theory. The book brings together several renowned experts working in the foundations of quantum mechanics and quantum information theory. The authors provide different approaches to the study of uncertainty relations and other fundamental aspects of the quantum formalism. Topics addressed include entanglement and Bell inequalities, the application of entropic information measures to the study of uncertainty inequalities, the characterization of deep learning networks in the context of adiabatic quantum computation, and the study of general properties of the set of quantum states. The content of this book will surely benefit both experienced and new researchers specializing in quantum information theory and the foundations of quantum mechanics.
Fourier ontology claims that only the physically inexistent abstract harmonic plane waves do have a pure perfect frequency, therefore, a finite wave being in this ontology a sum of many harmonic plane waves cannot have a single pure frequency. The causal nonlinear approach based onto the more general wavelet analysis assumes that a finite wave may indeed have a single frequency. An experimental process is proposed for testing nonlocal and nontemporal Fourier ontology against local wavelet analysis. The experiment also checks the general validity of Heisenberg indetermination relations. The proposed experiment uses an asymmetric Mach-Zehnder interferometer and increasingly better monochromators.
The pivotal shift in Physics initiated by Erwin Heisenberg's seminal work in 1925 marked a significant departure from classical paradigms towards what is now known as modern quantum physics. Heisenberg's groundbreaking paper, "On the quantum-theoretical reinterpretation of kinematical and mechanical relationships," commonly referred to as "Die Umdeutung," heralded a radical transformation in the foundation of physics. By replacing the traditional religious notion of "Causality" with an atheistic concept of "Probability," Heisenberg's work revolutionized the field. The removal of "Causality" challenged the religious underpinning of physics, leading to a reevaluation of fundamental principles. This shift, epitomized by the Heisenberg Uncertainty Principle, transformed the deterministic worldview into a probabilistic one, sparking debates on the nature of existence and human agency.The ramifications of this paradigm shift extended beyond theoretical discourse. The ethical implications of scientific advancements, exemplified by the development of the atomic bomb during World War II, underscored the complex interplay between physics, morality, and political ideologies. The juxtaposition of Heisenberg's involvement in Nazi Germany's atomic research and Oppenheimer's leadership in the Manhattan Project highlighted the ethical dilemmas faced by scientists in wartime.Moreover, the integration of Heisenberg's Uncertainty Principle with Newton's Causality Principle rekindles discussions on the interconnectedness of Physics, Philosophy, and Theology. The quest for a unified framework underscores the importance of reconciling divergent perspectives to forge a coherent understanding of the universe. This synthesis seeks to bridge the gap between classical paradigms and modern quantum theory, offering new insights into the intertwined fabric of physical laws and metaphysical beliefs.