او خواهد آمد، اگر من و امثال من بگذارند (زودتر)!

او خواهد آمد، اگر من و امثال من بگذارند (زودتر)!

خدایا ما را از منتظران حقیقی اش قرار ده به حق هشت و چارَت...
او خواهد آمد، اگر من و امثال من بگذارند (زودتر)!

او خواهد آمد، اگر من و امثال من بگذارند (زودتر)!

خدایا ما را از منتظران حقیقی اش قرار ده به حق هشت و چارَت...

The Copenhagen Interpretation: Science or Ideology? A Radical Critique of the Dominance of a Self-Contradictory Paradigm

Abstract

The Copenhagen interpretation, the dominant framework of quantum mechanics, is scientifically invalid due to its logical inconsistencies, philosophical ambiguities, and unproven assumptions. The Schrödinger equation, rooted in interaction-dependent experimental data, cannot describe the intrinsic nature of isolated systems, leading to an epistemological paradox. The measurement problem, the claim of inherent uncertainty, and the inability to account for pre-measurement reality render Copenhagen unscientific. In contrast, Bohmian mechanics, with its deterministic, nonlocal, and realist framework, resolves these flaws while reproducing all quantum predictions without ambiguity. The marginalization of Bohm and the quasi-sacred protection of Copenhagen stem from historical (McCarthyism), philosophical (humanism, relativism, secularism), and institutional (paradigmatic hegemony) factors. Drawing on historical and contemporary sources, this critique calls for a critical reappraisal of quantum education and research to liberate science from ideological constraints.

1. Introduction

The Copenhagen interpretation, developed in the 1920s by Niels Bohr and Werner Heisenberg, has been the dominant framework of quantum mechanics for nearly a century. It posits that quantum systems are described by a wave function (ψ) in Hilbert space, exhibit inherent uncertainty (Δx·Δp≥ℏ/2), and undergo wave function collapse to a definite state upon measurement [Bohr, 1913; Heisenberg, 1927]. Despite its success in predicting phenomena such as electron diffraction [Davisson & Germer, 1927], atomic spectra [Bohr, 1913], and Bose-Einstein condensation [Anderson et al., 1995], Copenhagen suffers from logical contradictions and philosophical ambiguities.

This paper argues that Copenhagen is unscientific, invalid, and ambiguous, as it relies on interaction-dependent data, fails to resolve the measurement problem, and assumes inherent uncertainty without proof. In contrast, Bohmian mechanics [Bohm, 1952a, 1952b] offers a realist and deterministic framework that overcomes these issues. We also examine why Copenhagen is protected like a “sacred text” while Bohm is marginalized, drawing on historical [Cushing, 1994] and contemporary sources [Laloë, 2019; Norsen, 2017; Pinto et al., 2021]. The goal is to advocate for a critical reappraisal to free science from ideological biases.

2. Logical Inconsistencies of the Copenhagen Interpretation

2.1. Circular Flaw of Interaction-Dependent Data

The Schrödinger equation, the cornerstone of quantum mechanics, is given by: iℏ ∂ψ/∂t = Ĥψ where ψ is the wave function, Ĥ is the Hamiltonian, and ℏ is the reduced Planck constant [Schrödinger, 1926]. It was designed to match experimental data from phenomena like electron diffraction [Davisson & Germer, 1927], the photoelectric effect [Einstein, 1905], and atomic spectroscopy [Bohr, 1913]. However, these experiments all involve interactions between the quantum system and measurement apparatus:

  • Electron diffraction requires interaction with a crystal lattice [Davisson & Germer, 1927].

  • Atomic spectra arise from photon emission/absorption [Bohr, 1913].

  • The double-slit experiment depends on particle-detector interactions [Young, 1802].

Copenhagen claims the equation describes the intrinsic state of isolated systems, but its data come from non-isolated systems. This creates an epistemological paradox: a theory derived from “contaminated” interaction data cannot prove the nature of isolated systems [Laloë, 2019]. Even Copenhagen proponents acknowledge this logical loop but deem it inevitable [Myrvold, 2017].

2.2. The Measurement Problem and Ambiguity

Copenhagen asserts that the wave function collapses upon measurement, but:

  • “Measurement” lacks a clear definition [Schlosshauer, 2007].

  • The collapse mechanism is unexplained and treated as an axiom [Feynman et al., 1965].

  • The observer’s role is ambiguous, leading to philosophical debates about consciousness [Wigner, 1961].

For instance, in the double-slit experiment, a detector eliminates the interference pattern, but Copenhagen does not explain why or how [Feynman et al., 1965]. This ambiguity renders Copenhagen unscientific, as scientific theories require testable mechanisms [Norsen, 2017].

2.3. Unproven Assumption of Inherent Uncertainty

Copenhagen treats quantum uncertainty (Δx·Δp≥ℏ/2) as an intrinsic property of nature [Heisenberg, 1927]. However, its evidence comes from interaction-based experiments (e.g., diffraction, spectroscopy). Phenomena like atomic stability [Bohr, 1913] or Bose-Einstein condensation [Anderson et al., 1995] are observed through interactions. Thus, it cannot be proven whether uncertainty is inherent or a result of measurement disturbances [Laloë, 2019].

2.4. Quantum Field Theory (QFT): A Persistent Deadlock

Copenhagen defenders often cite QFT, where particles are field excitations, and interactions (e.g., electromagnetic) are encoded in the QED Lagrangian: ℒ = ψ̅(iγ^μ∂_μ - m)ψ + eψ̅γ^μψA_μ [Peskin & Schroeder, 1995]. QFT yields precise predictions (e.g., Lamb shift) [Kinoshita, 1995]. However:

  • It relies on interaction-based data (e.g., particle scattering).

  • It does not resolve the measurement problem.

  • It cannot prove interactions are intrinsic [Norsen, 2017].

QFT remains trapped in Copenhagen’s logical loop [Laloë, 2019].

3. Superiority of Bohmian Mechanics

Bohmian mechanics [Bohm, 1952a, 1952b] offers a deterministic and nonlocal framework:

  • Particles have definite positions and momenta, guided by the wave function (ψ) as a pilot wave.

  • The guidance equation: v = (ℏ/m) Im(∇ψ/ψ)

  • Quantum effects (interference, entanglement) arise from the nonlocal dynamics of the pilot wave [Holland, 1993].

Bohm resolves Copenhagen’s flaws:

  • No Measurement Problem: Measurement is a physical interaction [Bohm, 1952a].

  • Determinism: Uncertainty is epistemic [Goldstein, 2013].

  • Realism: Particles have objective reality, consistent with Bell experiments [Bell, 1964; Hensen et al., 2015].

  • Experimental Consistency: Bohm reproduces all quantum predictions (double-slit, atomic stability) [Holland, 1993].

For example, in the double-slit experiment, the pilot wave guides particles through both slits, producing the interference pattern without collapse. Atomic stability results from stable electron trajectories under the pilot wave [Holland, 1993]. Bohm also applies to quantum computing [Dürr et al., 2014] and quantum gravity [Pinto et al., 2021].

Table 1: Comparison of Copenhagen and Bohmian Mechanics

Feature

Copenhagen

Bohm

Pre-Measurement Reality

Denies (“properties don’t exist”)

Affirms (particles have definite position/velocity)

Measurement Problem

Unresolved (ambiguous collapse)

Resolved (physical interaction)

Uncertainty

Inherent (nature’s property)

Epistemic (due to unknown initial conditions)

Nonlocality

Paradoxical

Intrinsic and accepted

Experimental Consistency

Yes

Yes

Modern Applications

Limited to standard computations

Quantum computing, quantum gravity

4. Marginalization of Bohmian Mechanics

Bohm was sidelined for non-scientific reasons:

  • Historical: Bohm’s exile during McCarthyism (1951) damaged his credibility [Freire, 2005]. Heisenberg called it “unscientific” [Heisenberg, 1958], and Pauli labeled it “socialist” [Cushing, 1994].

  • Philosophical: Bohm’s determinism conflicts with humanism (denying free will), and its nonlocality clashes with materialism [Bell, 1987; Cushing, 1994].

  • Institutional: Copenhagen controlled journals and academic positions, engineering scientific discourse [Cushing, 1994; Stanford, 2017].

Critics like Einstein (EPR paradox) were dismissed as “outdated” [Einstein et al., 1935; Cushing, 1994].

5. Quasi-Sacred Protection of Copenhagen

Copenhagen aligns with modern ideologies:

  • Humanism: The observer’s role places humans at reality’s center [Wigner, 1961].

  • Relativism: Inherent uncertainty supports rejecting absolute truths [Kuhn, 1970].

  • Secularism: Focus on observable phenomena sidesteps metaphysical questions [Bell, 1987].

This alignment makes Copenhagen a “sacred text” [Cushing, 1994]. Bell experiments [Hensen et al., 2015; Aspect et al., 2022] and entanglement applications [Horodecki et al., 2009] have not disrupted its hegemony [Norsen, 2017].

Table 2: Copenhagen’s Justifications and Their Critique

Copenhagen’s Claim

Scientific Critique

“Simpler and more intuitive”

Bohm performs the same calculations without contradictions [Norsen, 2017].

“Bohm is redundant”

Bohm offers a complete picture; applies to quantum computing [Dürr et al., 2014].

“Bohm’s nonlocality is unscientific”

Nonlocality is confirmed by Bell experiments [Hensen et al., 2015].

“Copenhagen matches experiments”

Bohm matches experiments without philosophical ambiguities [Holland, 1993].

6. Conclusion

The Copenhagen interpretation is unscientific and invalid due to its reliance on interaction-dependent data, ambiguous measurement problem, and unproven inherent uncertainty. The Schrödinger equation cannot describe isolated systems, and QFT remains trapped in the same logical loop. Bohmian mechanics, with its deterministic, nonlocal, and realist framework, resolves these flaws and reproduces quantum predictions without paradoxes.

Bohm’s marginalization and Copenhagen’s protection stem from historical, philosophical, and institutional biases. Copenhagen’s alignment with humanism, relativism, and secularism has made it a quasi-sacred paradigm. For science to progress, the scientific community must embrace critical thinking and revisit realist interpretations. Bohm’s applications in quantum computing [Dürr et al., 2014] and quantum gravity [Pinto et al., 2021] highlight its potential for physics’ future. The time for a paradigmatic revolution has come.

References

  • Anderson, M. H., et al. (1995). Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor. Science, 269(5221), 198–201.

  • Aspect, A., Dalibard, J., & Roger, G. (2022). Experimental Test of Bell’s Inequalities Using Time-Varying Analyzers. Physical Review Letters, 49(25), 1804–1807 (reprint of 1982).

  • Bell, J. S. (1964). On the Einstein-Podolsky-Rosen Paradox. Physics Physique Fizika, 1(3), 195–200.

  • Bell, J. S. (1987). Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press.

  • Bohm, D. (1952a). A Suggested Interpretation of the Quantum Theory in Terms of “Hidden” Variables. I. Physical Review, 85(2), 166–179.

  • Bohm, D. (1952b). A Suggested Interpretation of the Quantum Theory in Terms of “Hidden” Variables. II. Physical Review, 85(2), 180–193.

  • Bohr, N. (1913). On the Constitution of Atoms and Molecules. Philosophical Magazine, 26(151), 1–25.

  • Cushing, J. T. (1994). Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony. University of Chicago Press.

  • Davisson, C. J., & Germer, L. H. (1927). Diffraction of Electrons by a Crystal of Nickel. Physical Review, 30(6), 705–740.

  • Dürr, D., Goldstein, S., & Zanghì, N. (2014). Quantum Mechanics and the Bohmian View. Springer.

  • Einstein, A. (1905). On a Heuristic Point of View Concerning the Production and Transformation of Light. Annalen der Physik, 17(6), 132–148.

  • Einstein, A., Podolsky, B., & Rosen, N. (1935). Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review, 47(10), 777–780.

  • Feynman, R. P., Leighton, R. B., & Sands, M. (1965). The Feynman Lectures on Physics, Vol. III: Quantum Mechanics. Addison-Wesley.

  • Freire Jr., O. (2005). Science and Exile: David Bohm, the Cold War, and a New Interpretation of Quantum Mechanics. MIT Press.

  • Goldstein, S. (2013). Bohmian Mechanics and Quantum Information. Foundations of Physics, 43(11), 1344–1360.

  • Heisenberg, W. (1927). Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Zeitschrift für Physik, 43(3–4), 172–198.

  • Heisenberg, W. (1958). Physics and Philosophy: The Revolution in Modern Science. Harper & Row.

  • Hensen, B., et al. (2015). Loophole-Free Bell Inequality Violation Using Electron Spins Separated by 1.3 Kilometres. Nature, 526(7575), 682–686.

  • Holland, P. R. (1993). The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics. Cambridge University Press.

  • Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009). Quantum Entanglement. Reviews of Modern Physics, 81(2), 865–942.

  • Kinoshita, T. (1995). The Fine Structure Constant and Quantum Electrodynamics. Reports on Progress in Physics, 58(9), 907–966.

  • Kuhn, T. S. (1970). The Structure of Scientific Revolutions. University of Chicago Press.

  • Laloë, F. (2019). Do We Really Understand Quantum Mechanics?. Cambridge University Press.

  • Myrvold, W. C. (2017). Quantum Mechanics and the Measurement Problem. The Stanford Encyclopedia of Philosophy.

  • Norsen, T. (2017). Foundations of Quantum Mechanics: An Exploration of the Physical Meaning of Quantum Theory. Springer.

  • Peierls, R. (1963). Review of Bohm’s Interpretation. Physics Today, 16(6), 74–75.

  • Peskin, M. E., & Schroeder, D. V. (1995). An Introduction to Quantum Field Theory. Westview Press.

  • Pinto, P. R. L. V., Arreagada, L. M., & Hiley, B. J. (2021). Bohmian Quantum Gravity from the Einstein-Hamilton-Jacobi Equation. Foundations of Physics, 51(3), 61.

  • Schlosshauer, M. (2007). Decoherence and the Quantum-to-Classical Transition. Springer.

  • Stanford, K. (2017). Underdetermination of Scientific Theory. The Stanford Encyclopedia of Philosophy.

  • Wigner, E. P. (1961). Remarks on the Mind-Body Question. In The Scientist Speculates, ed. I. J. Good, 284–302. Heinemann.

  • Young, T. (1802). On the Theory of Light and Colours. Philosophical Transactions of the Royal Society, 92, 12–48.


A Unified Informational Framework for Quantum and Gravitational Phenomena: A Bohmian Perspective"

\documentclass[12pt]{article}
\usepackage{amsmath, amssymb}
\usepackage{geometry}
\geometry{a4paper, margin=1in}
\usepackage{hyperref}
\usepackage[utf8]{inputenc}
\usepackage{parskip}
\usepackage{natbib}

\title{A Unified Informational Framework for Quantum and Gravitational Phenomena: A Bohmian Perspective}
\author{Anonymous (Inspired by a Novel Theoretical Proposal)}
\date{May 2025}

\begin{document}

\maketitle

\begin{abstract}
We propose a unified theoretical framework that integrates quantum mechanics, gravitation, and cosmology through an informational interpretation of the quantum potential ($Q$) in Bohmian mechanics. Operating in configuration space, $Q$ acts as a universal informational system, instantaneously guiding all particles while preserving nonlocality, conservation laws, and entropic stability. Spacetime is treated as a derived phenomenon constrained by $Q$, with gravitation emerging as an informational manifestation that orchestrates complex particle trajectories across scales. Fundamental constants ($\hbar$, $c$, $G$) serve as control mechanisms, anchoring $Q$’s influence within spacetime. This framework critiques the Copenhagen and Many-Worlds interpretations, offering a deterministic, contradiction-free foundation for a Theory of Everything compatible with established physics. Testable predictions include gravitational entanglement experiments and cosmological signatures of $Q$’s influence.
\end{abstract}

\section{Introduction}
Unifying quantum mechanics and gravitation remains a central challenge in theoretical physics. The Copenhagen interpretation’s reliance on wave function collapse and the Many-Worlds interpretation’s proliferation of universes introduce philosophical and physical ambiguities \citep{Bell1987}. Bohmian mechanics, with its deterministic trajectories guided by the quantum potential ($Q$), offers a promising alternative \citep{Bohm1952}. This paper proposes that $Q$ serves as a universal informational system, operating outside spacetime to constrain it as a derived phenomenon. Gravitation emerges as an informational process driven by $Q$, with fundamental constants as control mechanisms. We aim to provide a contradiction-free framework compatible with quantum mechanics, relativity, and cosmology, with testable implications.

\section{Critique of Standard Interpretations}\label{sec:critique}
The Copenhagen interpretation posits wave function collapse upon measurement, raising the measurement problem and lacking a physical mechanism for collapse \citep{Heisenberg1927}. The Many-Worlds interpretation avoids collapse by postulating multiple universes, but its untestable nature and ontological complexity are problematic \citep{Everett1957}. Both fail to unify quantum mechanics with gravitation or cosmology. Bohmian mechanics, by contrast, provides a deterministic, nonlocal framework that avoids these issues \citep{Bohm1952}.

\section{Bohmian Mechanics as a Universal Framework}\label{sec:bohmian}
In Bohmian mechanics, the wave function $\psi = R e^{iS/\hbar}$ evolves via the Schrödinger equation:
\begin{equation}
i\hbar \frac{\partial \psi}{\partial t} = -\frac{\hbar^2}{2m} \nabla^2 \psi + V \psi
\end{equation}
The quantum potential is:
\begin{equation}
Q = -\frac{\hbar^2}{2m} \frac{\nabla^2 R}{R}
\end{equation}
Particle motion is governed by:
\begin{equation}
m \frac{d^2 \mathbf{x}}{dt^2} = -\nabla (V + Q)
\end{equation}
$Q$’s nonlocality enables instantaneous correlations, as in entanglement \citep{Bell1964}. We extend this to a cosmic scale, proposing that $Q$ guides all particles via a universal wave function $\psi_{\text{universe}}$ in configuration space, unbound by spacetime.

\section{The Informational Role of $Q$}\label{sec:informational}
We hypothesize that $Q$ is a universal informational system, coordinating particle trajectories through instantaneous information exchange. This ensures:
\begin{itemize}
    \item \textbf{Nonlocality}: $Q$’s dependence on $\psi_{\text{universe}}$ enables superluminal correlations.
    \item \textbf{Conservation}: $Q$ leverages the wave function’s intrinsic energy, preserving matter and energy.
    \item \textbf{Entropic Stability}: $Q$ guides particles to maintain quantum coherence, preventing entropic collapse.
\end{itemize}
In configuration space, $Q$ operates outside spacetime, enabling coordination without violating relativity, as no physical signals are involved. In localized systems (e.g., quantum computers), a constrained ``local $Q$'' emerges, shaped by human-engineered boundary conditions but subordinate to the universal $Q$, ensuring cosmic coherence.

\section{Gravitation as an Informational Phenomenon}\label{sec:gravitation}
We propose that gravitation is an emergent informational manifestation of $Q$. In general relativity:
\begin{equation}
G_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}
\end{equation}
Spacetime is derived, constrained by $Q$ in configuration space. Gravitation translates the universe’s intrinsic energy into coordinated, dynamically optimized trajectories, producing structures like galaxies. This aligns with entropic gravity \citep{Verlinde2011} and holographic principles \citep{Maldacena1998}. Gravitation preserves nonlocality, conservation, and entropic stability, acting as $Q$’s dynamical expression across scales.

\section{Fundamental Constants as Control Mechanisms}\label{sec:constants}
Constants like $\hbar$, $c$, and $G$ anchor $Q$’s influence within spacetime:
\begin{itemize}
    \item $\hbar$ defines quantum scales, constraining $Q$’s effects.
    \item $c$ limits material entities to sub-luminal speeds, preserving spacetime causality.
    \item $G$ governs gravitational strength, stabilizing cosmic structures.
\end{itemize}
As tools of $Q$, these constants enable superluminal information exchange in configuration space while restricting physical dynamics to spacetime, resolving tensions between nonlocality and relativity.

\section{Testable Predictions}\label{sec:predictions}
This framework yields testable predictions:
\begin{itemize}
    \item \textbf{Gravitational Entanglement}: Experiments measuring entanglement induced by gravitational fields could reveal $Q$’s informational role \citep{Marletto2017}.
    \item \textbf{Cosmological Signatures}: $Q$’s guidance of vacuum fluctuations during inflation may produce distinct patterns in the cosmic microwave background, detectable by future observatories.
    \item \textbf{Quantum Technologies}: Enhanced coherence in quantum systems could be achieved by optimizing local $Q$, testable in quantum computing experiments.
\end{itemize}

\section{Implications and Future Directions}\label{sec:implications}
This framework impacts:
\begin{itemize}
    \item \textbf{Quantum Technologies}: Optimizing local $Q$ could improve quantum coherence.
    \item \textbf{Cosmology}: Modeling $Q$ in $\psi_{\text{universe}}$ could explain cosmic structure formation.
    \item \textbf{Quantum Gravity}: The informational view of gravitation may bridge quantum mechanics and relativity.
    \item \textbf{Philosophy}: $Q$’s trans-spatiotemporal nature prompts questions about reality and cosmic order.
\end{itemize}
Future work includes mathematical modeling of $Q$ in cosmology, experimental tests of gravitational entanglement, and integration with holographic theories.

\section{Conclusion}\label{sec:conclusion}
We present a unified framework where $Q$ in Bohmian mechanics acts as an informational system, constraining spacetime, orchestrating gravitation, and leveraging fundamental constants. This resolves issues in standard quantum interpretations, offering a deterministic, contradiction-free foundation for a Theory of Everything. Its compatibility with established physics and testable predictions make it a promising avenue for future research.

\bibliographystyle{plainnat}
\begin{thebibliography}{9}
\bibitem{Bell1987}
Bell, J. S. (1987). \emph{Speakable and Unspeakable in Quantum Mechanics}. Cambridge University Press.

\bibitem{Bohm1952}
Bohm, D. (1952). A Suggested Interpretation of the Quantum Theory in Terms of ``Hidden'' Variables. \emph{Physical Review}, 85(2), 166--193.

\bibitem{Heisenberg1927}
Heisenberg, W. (1927). Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. \emph{Zeitschrift für Physik}, 43, 172--198.

\bibitem{Everett1957}
Everett, H. (1957). ``Relative State'' Formulation of Quantum Mechanics. \emph{Reviews of Modern Physics}, 29(3), 454--462.

\bibitem{Bell1964}
Bell, J. S. (1964). On the Einstein Podolsky Rosen Paradox. \emph{Physics}, 1(3), 195--200.

\bibitem{Verlinde2011}
Verlinde, E. (2011). On the Origin of Gravity and the Laws of Newton. \emph{Journal of High Energy Physics}, 2011(4), 29.

\bibitem{Maldacena1998}
Maldacena, J. (1998). The Large N Limit of Superconformal Field Theories and Supergravity. \emph{Advances in Theoretical and Mathematical Physics}, 2, 231--252.

\bibitem{Marletto2017}
Marletto, C., \& Vedral, V. (2017). Gravitationally Induced Entanglement between Two Massive Particles is Sufficient Evidence of Quantum Effects in Gravity. \emph{Physical Review Letters}, 119(24), 240402.
\end{thebibliography}

\end{document}