scholarly journals A justification of the invariance of the speed of light by quantum theoretical considerations

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Michael Cordin
Keyword(s):  
Uncertainty Principle ◽  
Thought Experiment ◽  
Relativistic Quantum ◽  
Thought Experiments ◽  
Relativistic Quantum Mechanics ◽  
Speed Of Light ◽  
New Thought ◽  
Time Uncertainty ◽  
Natural Connection ◽  
Theoretical Considerations

AbstractAbstract phenomena can often be analysed in a visually clear way by thought experiments. In the present work a new thought experiment is analysed, which describes the emission of a photon by a special mechanism. The analysis leads to the finding, that there is a natural connection between the energy-time uncertainty and the Heisenberg position-momentum uncertainty principle. A deeper analysis of this thought experiment, especially with regard to a justification of the Doppler effect from the uncertainty principle, leads to the conclusion, that the speed of light is invariant. Therefore it seems reasonable to assume, that the origin of relativistic laws lies in non-relativistic quantum mechanics.

The Inconsistency of the Usual Galilean Transformation in Quantum Mechanics and How To Fix It

2001 ◽  
Vol 56 (1-2) ◽  
pp. 67-75 ◽  
Author(s):  
Daniel M. Greenberger
Keyword(s):  
Quantum Mechanics ◽  
Uncertainty Principle ◽  
Proper Time ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Twin Paradox ◽  
Moving Frames ◽  
Galilean Transformation ◽  
Rest Energy ◽  
Integral Role

Abstract It is shown that the generally accepted statement that one cannot superpose states of different mass in non-relativistic quantum mechanics is inconsistent. It is pointed out that the extra phase induced in a moving system, which was previously thought to be unphysical, is merely the non-relativistic residue of the "twin-paradox" effect. In general, there are phase effects due to proper time differences between moving frames that do not vanish non-relativistically. There are also effects due to the equivalence of mass and energy in this limit. The remedy is to include both proper time and rest energy non-relativis-tically. This means generalizing the meaning of proper time beyond its classical meaning, and introduc­ ing the mass as its conjugate momentum. The result is an uncertainty principle between proper time and mass that is very general, and an integral role for both concepts as operators in non-relativistic physics.

scholarly journals Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Kang Wang ◽  
Yu-Fei Zhang ◽  
Qing Wang ◽  
Zheng-Wen Long ◽  
Jian Jing
Keyword(s):  
Magnetic Field ◽  
Lorentz Invariance ◽  
Wave Packets ◽  
Relativistic Quantum ◽  
Homogeneous Magnetic Field ◽  
Relativistic Quantum Mechanics ◽  
Speed Of Light ◽  
Initial State ◽  
The Magnetic Field ◽  
Noncommutative Plane

Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.

A Fractal Universe and the Identity of Indescernibles

2019 ◽  
Vol 12 ◽  
pp. 86-94
Author(s):  
Matteo Casarosa ◽  
Keyword(s):  
Thought Experiment ◽  
Thought Experiments ◽  
Relational Theory ◽  
Identity Of Indiscernibles ◽  
New Thought ◽  
Classical Sense ◽  
Better Than

The principle of Identity of Indiscernibles has been challenged with various thought experiments involving symmetric universes. In this paper, I describe a fractal universe and argue that, while it is not a symmetric universe in the classical sense, under the assumption of a relational theory of space it nonetheless contains a set of objects indiscernible by pure properties alone. I then argue that the argument against the principle from this new thought experiment resists better than those from classical symmetric universes three main objections put forth against this kind of arguments.

scholarly journals A Fractal Universe and the Identity of Indiscernibles

2019 ◽  
Vol 12 (1) ◽  
pp. 86-95
Author(s):  
Matteo Casarosa
Keyword(s):  
Thought Experiment ◽  
Thought Experiments ◽  
Relational Theory ◽  
Identity Of Indiscernibles ◽  
New Thought ◽  
Classical Sense ◽  
Better Than

The principle of Identity of Indiscernibles has been challenged with various thought experiments involving symmetric universes. In this paper, I describe a fractal universe and argue that, while it is not a symmetric universe in the classical sense, under the assumption of a relational theory of space it nonetheless contains a set of objects indiscernible by pure properties alone. I then argue that the argument against the principle from this new thought experiment resists better than those from classical symmetric universes three main objections put forth against this kind of arguments.

scholarly journals On the Thermodynamic Origin of the Uncertainty Principle

2020 ◽  
Author(s):  
Jay R. Yablon
Keyword(s):  
Uncertainty Principle ◽  
Relativistic Quantum ◽  
Photon Counting ◽  
Average Energy ◽  
Second Law Of Thermodynamics ◽  
Relativistic Quantum Mechanics ◽  
Statistical Thermodynamic ◽  
Gravitational Vacuum ◽  
General Relativistic ◽  
Remote Observation

The spatial resolution measurement limitation of the position-momentum uncertainty principle is shown to mathematically originate from the Bekenstein entropy bound and the associated second law of thermodynamics, as a special case in which a statistical thermodynamic distribution of energies is specialized to a fixed, definite probe energy equal to the average energy of that distribution. This is used in combination with the Wein displacement law to predict an ultraviolet cutoff for Planck blackbody radiation at about ⅛ of the Wein peak. A new UV photon counting experiment is proposed to test for this. A physical understanding of these results may be provided by a UV-complete, intelligible theory of general relativistic quantum mechanics in which the observation of a blackbody spectrum is simply a remote observation of Hawking radiation emitted from black hole fluctuations in the gravitational vacuum.

Epistemological Status of Models and Thought Experiments in Economics

2015 ◽  
pp. 123-140 ◽  
Author(s):  
O. Koshovets ◽  
T. Varkhotov
Keyword(s):  
Natural Science ◽  
Thought Experiment ◽  
Thought Experiments ◽  
Theoretical Modeling ◽  
Epistemological Status ◽  
Epistemological Analysis ◽  
Field Of Inquiry

The paper considers the analogy of theoretical modeling and thought experiment in economics. The authors provide historical and epistemological analysis of thought experiments and their relations to the material experiments in natural science. They conclude that thought experiments as instruments are used both in physics and in economics, but in radically different ways. In the natural science, a thought experiment is tightly connected to the material experimentation, while in economics it is used in isolation. Material experiments serve as a means to demonstrate the reality, while thought experiments cannot be a full-fledged instrument of studying the reality. Rather, they constitute the instrument of structuring the field of inquiry.

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

Further Insights on Fake-Barn Cases and Intuition Variation

Episteme ◽  
2021 ◽  
pp. 1-18
Author(s):  
Carsten Bergenholtz ◽  
Jacob Busch ◽  
Sara Kier Praëm
Keyword(s):  
Experimental Philosophy ◽  
Thought Experiment ◽  
Thought Experiments ◽  
Risk Attitude ◽  
Knowledge Ascription ◽  
Underlying Factor ◽  
Demographic Group ◽  
Knowledge Ascriptions ◽  
Group Variation ◽  
Fake Barn

Abstract Studies in experimental philosophy claim to document intuition variation. Some studies focus on demographic group-variation; Colaço et al., for example, claim that age generates intuition variation regarding knowledge attribution in a fake-barn scenario. Other studies claim to show intuition variation when comparing the intuition of philosophers to that of non-philosophers. The main focus has been on documenting intuition variation rather than uncovering what underlying factor(s) may prompt such a phenomenon. We explore a number of suggested explanatory hypotheses put forth by Colaço et al., as well as an attempt to test Sosa's claim that intuition variance is a result of people ‘filling in the details’ of a thought experiment differently from one another. We show (i) that people respond consistently across conditions aimed at ‘filling in the details’ of thought experiments, (ii) that risk attitude does not seem relevant to knowledge ascription, (iii) that people's knowledge ascriptions do not vary due to views about defeasibility of knowledge. Yet, (iv) we find no grounds to reject that a large proportion of people appear to adhere to so-called subjectivism about knowledge, which may explain why they generally have intuitions about the fake-barn scenario that vary from those of philosophers.

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