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

Wick Rotation as a New Symmetry

V.A.Induchoodan Menon

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

The author discusses the similarity between the expression for the state function of the primary eigen gas representing a particle and that of the wave function. It is observed that the only difference between these two expressions is that in the former time appears as a real function while in the latter it appears as an imaginary function. He shows that the primary eigen gas approach which treats time as real and the quantum mechanical approach which treats time as imaginary are two ways of representing the same reality and points to a new symmetry called the Wick symmetry. He shows that the probability postulate of quantum mechanics can be understood in a very simple and natural manner based on the primary eigen gas representation of the particle. It is shown that the zero point energy of the quantum mechanics is nothing but the energy of the thermal bath formed by the vacuum fluctuations. The author shows that the quantum mechanics is nothing but the thermodynamics of the primary eigen gas where time has not lost its directional symmetry.

Related papers

Proposing the Existence of a New Symmetry Called the Wick Symmetry- Representation of a Particle as a Primary Gas -VI

V.A.Induchoodan Menon

The author discusses the similarity between the expression for the state function of the primary gas representing a particle and that of the wave function. It is observed that the only difference between these two expressions is that in the former time appears as a real function while in the latter it appears as an imaginary function. He shows that the primary gas approach which treats time as a real and the quantum mechanical approach which treats time as imaginary are two ways of representing the same reality and points to a new symmetry called the Wick symmetry. He shows that the probability postulate of quantum mechanics can be understood in a very simple and natural manner based on the primary gas representation of the particle. It is shown that the zero point energy of the quantum mechanics is nothing but the energy of the thermal bath formed by the vacuum fluctuations in the Higgs field. He shows that the quantum mechanics is nothing but the thermodynamics of the primary gas where time has not lost its directional symmetry.

•May 1, 2010•0 citations

Sub-Quantum Thermodynamics and the Creation of Time and Space

V.A.Induchoodan Menon

The author introduces the concept of the primary eigen gas which is an abstract gas where the microstates are occupied successively in time unlike in the case of a real gas where the microstates are occupied simultaneously. He shows that the energy-momentum eigen state of a particle represented by a plane wave can be treated as a primary eigen gas which makes it possible to understand the dynamics of a particle in terms of the thermodynamics of such a gas. In this approach, time and space turn out to be the intrinsic properties of the primary eigen gas representing a particle and the quantum nature of time and space emerges from it in a natural manner. It is shown that the action (with a negative sign) of a particle can be identified with the entropy of the primary eigen gas and the principle of least action is nothing but the second law of thermodynamics. Besides, it is shown that the uncertainty relations of quantum mechanics can be derived directly from the equation for the fluctuations.

•Jan 1, 2013•0 citations

Thermodynamics of the Primary Eigen Gas and the Postulates of Quantum Mechanics

V.A.Induchoodan Menon

The author shows that that for each quantum mechanical property of a micro-system there is a corresponding thermodynamic one in the primary eigen gas approach. He further shows that the basic postulates of quantum mechanics have equivalents in the primary eigen gas approach provided time is accorded directional symmetry. The interference pattern obtained in Young’s double slit experiment is explained in terms of the primary eigen gas approach using the directional symmetry of time

•Jan 1, 2013•0 citations

Quantizing Time and Space - From the Standing Wave to the Primary Gas Structure of a Particle - V

V.A.Induchoodan Menon

The author introduces the concept of a primary gas which is an abstract gas where the microstates are occupied successively in time unlike in the case of a real gas where the microstates are occupied simultaneously. He shows that a single plane wave associated with a standing wave formed by the confinement of a luminal wave could be treated as the microstate of the primary gas that represents a particle. This approach makes it possible to understand the dynamics of a particle in terms of the thermodynamics of the primary gas. In this approach, time and space turn out to be the intrinsic properties of the primary gas that represents a particle and the quantized nature of time and space emerges from it in a natural manner. It is shown that the action (with a negative sign) of a particle could be identified with the entropy of the primary gas and the principle of least action is nothing but the second law of thermodynamics. The author shows that the uncertainty relation of quantum mechanics can be derived directly from the equation for fluctuations and he explains the statistical basis of the virtual interactions.

•Apr 1, 2010•0 citations

The Primary Gas and the Postulates of Quantum Mechanics-VII

V.A.Induchoodan Menon

The author shows that that for each quantum mechanical property of a micro-system there is a corresponding thermodynamic one in the primary gas. He further shows that the basic postulates of quantum mechanics have equivalents in the primary gas approach based on statistical mechanics provided time is accorded directional symmetry. He shows that the interference pattern obtained in Young's double slit experiment could be explained in terms of the primary gas approach using the directional symmetry of time.

•Jun 1, 2010•0 citations

Temperature and Time in Quantum Wave Entropy

Xiaolin Li

In quantum mechanics, particles have a new type of probabilistic property, which is quantum wave probability. The quantum wave probability corresponds to the quantum wave entropy. The action in classical mechanics corresponds to the quantum wave entropy. The least action principle corresponds to the stationary quantum wave entropy principle. Quantum wave entropy creates a bridge between dynamics and thermodynamics. Combining the Hamiltonian-Jacobian equation of classical mechanics and quantum wave entropy, we can derive the relationship between temperature and time. There is an inverse relationship between temperature and time. The phase of the wave function in quantum mechanics corresponds to the imaginary action. Combining the imaginary action and quantum wave entropy, we can derive the Wick rotation between temperature and imaginary time in quantum mechanics, thus explaining the physical meaning of the Wick rotation. Wick rotation is only applicable to the stationary state, not universally true. Imaginary time is only a mathematical representation and has no real physical significance.

Journal of High Energy Physics Gravitation and Cosmology•Jan 1, 2025•0 citations
The author discusses the similarity between the expression for the state function of the primary eigen gas representing a particle and that of the wave function. It is observed that the only difference between these two expressions is that in the former time appears as a real function while in the latter it appears as an imaginary function. He shows that the primary eigen gas approach which treats time as real and the quantum mechanical approach which treats time as imaginary are two ways of representing the same reality and points to a new symmetry called the Wick symmetry. He shows that the probability postulate of quantum mechanics can be understood in a very simple and natural manner based on the primary eigen gas representation of the particle. It is shown that the zero point energy of the quantum mechanics is nothing but the energy of the thermal bath formed by the vacuum fluctuations. The author shows that the quantum mechanics is nothing but the thermodynamics of the primary eigen gas where time has not lost its directional symmetry.
The author discusses the similarity between the expression for the state function of the primary gas representing a particle and that of the wave function. It is observed that the only difference between these two expressions is that in the former time appears as a real function while in the latter it appears as an imaginary function. He shows that the primary gas approach which treats time as a real and the quantum mechanical approach which treats time as imaginary are two ways of representing the same reality and points to a new symmetry called the Wick symmetry. He shows that the probability postulate of quantum mechanics can be understood in a very simple and natural manner based on the primary gas representation of the particle. It is shown that the zero point energy of the quantum mechanics is nothing but the energy of the thermal bath formed by the vacuum fluctuations in the Higgs field. He shows that the quantum mechanics is nothing but the thermodynamics of the primary gas where time has not lost its directional symmetry.
The author introduces the concept of the primary eigen gas which is an abstract gas where the microstates are occupied successively in time unlike in the case of a real gas where the microstates are occupied simultaneously. He shows that the energy-momentum eigen state of a particle represented by a plane wave can be treated as a primary eigen gas which makes it possible to understand the dynamics of a particle in terms of the thermodynamics of such a gas. In this approach, time and space turn out to be the intrinsic properties of the primary eigen gas representing a particle and the quantum nature of time and space emerges from it in a natural manner. It is shown that the action (with a negative sign) of a particle can be identified with the entropy of the primary eigen gas and the principle of least action is nothing but the second law of thermodynamics. Besides, it is shown that the uncertainty relations of quantum mechanics can be derived directly from the equation for the fluctuations.
The author introduces the concept of a primary gas which is an abstract gas where the microstates are occupied successively in time unlike in the case of a real gas where the microstates are occupied simultaneously. He shows that a single plane wave associated with a standing wave formed by the confinement of a luminal wave could be treated as the microstate of the primary gas that represents a particle. This approach makes it possible to understand the dynamics of a particle in terms of the thermodynamics of the primary gas. In this approach, time and space turn out to be the intrinsic properties of the primary gas that represents a particle and the quantized nature of time and space emerges from it in a natural manner. It is shown that the action (with a negative sign) of a particle could be identified with the entropy of the primary gas and the principle of least action is nothing but the second law of thermodynamics. The author shows that the uncertainty relation of quantum mechanics can be derived directly from the equation for fluctuations and he explains the statistical basis of the virtual interactions.
The author shows that that for each quantum mechanical property of a micro-system there is a corresponding thermodynamic one in the primary gas. He further shows that the basic postulates of quantum mechanics have equivalents in the primary gas approach based on statistical mechanics provided time is accorded directional symmetry. He shows that the interference pattern obtained in Young's double slit experiment could be explained in terms of the primary gas approach using the directional symmetry of time.
In quantum mechanics, particles have a new type of probabilistic property, which is quantum wave probability. The quantum wave probability corresponds to the quantum wave entropy. The action in classical mechanics corresponds to the quantum wave entropy. The least action principle corresponds to the stationary quantum wave entropy principle. Quantum wave entropy creates a bridge between dynamics and thermodynamics. Combining the Hamiltonian-Jacobian equation of classical mechanics and quantum wave entropy, we can derive the relationship between temperature and time. There is an inverse relationship between temperature and time. The phase of the wave function in quantum mechanics corresponds to the imaginary action. Combining the imaginary action and quantum wave entropy, we can derive the Wick rotation between temperature and imaginary time in quantum mechanics, thus explaining the physical meaning of the Wick rotation. Wick rotation is only applicable to the stationary state, not universally true. Imaginary time is only a mathematical representation and has no real physical significance.