Heisenberg matrix mechanics HMM is, in a way, a subset of Schrödinger mechanics SM.
HMM and SM are not adequate to describe sound energy density fields in audio rooms.
On the other hand, B matrix mechanics, [1,2] which is a product of Cairo techniques theory, can accurately predict the sound intensity in audio rooms and further rigorously proves the imperial formula of Sabines.
1- Theory and design of audio rooms -A statistical view
, IJISRT Review, Researchgate, July 2023.
2-Theory and design of audio rooms-Reformulation of Sabine's formula, IJISRT Review, Researchgate, October 2021.
Heisenberg's matrix mechanics is a formulation of quantum mechanics that was developed in the late 1920s. It is based on the idea of representing physical observables, such as position and momentum, using matrices. While Heisenberg's matrix mechanics has been highly successful in describing the behavior of particles at the quantum level, it is not directly applicable to macroscopic phenomena, including classical waves like sound waves.
The reason for this lies in the fundamental differences between the behavior of particles at the quantum level and the behavior of macroscopic objects or waves. Here are a few key points to consider:
In summary, Heisenberg's matrix mechanics is not directly applicable to sound waves because it is a framework specifically designed for understanding the behavior of particles at the quantum level. Classical wave equations and mechanics are more appropriate for describing macroscopic phenomena, including sound waves. Quantum mechanics and classical mechanics are distinct frameworks that are applicable to different scales and types of physical systems.
Heisenberg matrix mechanics HMM is, in a way, a subset of Schrödinger mechanics SM.
HMM and SM are not adequate to describe sound energy density fields in audio rooms.
Note that sound waves are composed of KE + PE traveling at the speed of sound in non-dispersive media.
Although Heisenberg matrix mechanics has been very successful in describing particle behavior at the quantum level, it is not directly applicable to other atomic and molecular phenomena, such as sound waves.
On the other hand, B-matrix mechanics, [1,2] which is a product of Cairo theory of techniques, can accurately predict the sound intensity field in audio rooms and further rigorously proves the Imperial Sabines formula .
The reason lies in the fundamental differences between the behavior of particles at the quantum level and their behavior at the atomic and molecular levels.
In short, Heisenberg matrix mechanics is not directly applicable to sound waves because it is a framework specifically designed and limited to describe particle behavior at the quantum level.
In contrast, modern 4D unitary statistical physics (universal laws of physics supplemented by the correct definition of transition probability) is more appropriate for describing macroscopic phenomena, notably sound waves.
While quantum mechanics and classical mechanics are distinct frameworks applicable to different scales and types of physical systems, B-matrix string mechanics effectively applies to both scales.
The correspondence principle according to which in the limit of large quantum numbers the predictions of quantum physics become identical to the predictions of classical physics does not apply to sound waves.
1- Theory and design of audio rooms -A statistical view
, IJISRT Review, Researchgate, July 2023.
2-Theory and design of audio rooms-Reformulation of the Sabine formula, IJISRT Review, Researchgate, October 2021.
Answer this question
Heisenberg matrix mechanics HMM is, in a way, a subset of Schrödinger mechanics SM.
HMM and SM are not adequate to describe sound energy density fields in audio rooms.
Note that sound waves are composed of KE + PE traveling at the speed of sound in non-dispersive media.
Although Heisenberg matrix mechanics has been very successful in describing particle behavior at the quantum level, it is not directly applicable to other atomic and molecular phenomena, such as sound waves.
On the other hand, B-matrix mechanics, [1,2] which is a product of Cairo theory of techniques, can accurately predict the sound intensity field in audio rooms and further rigorously proves the Imperial Sabines formula .
The reason lies in the fundamental differences between the behavior of particles at the quantum level and their behavior at the atomic and molecular levels.
In short, Heisenberg matrix mechanics is not directly applicable to sound waves because it is a framework specifically designed and limited to describe particle behavior at the quantum level.
In contrast, modern 4D unitary statistical physics (universal laws of physics supplemented by the correct definition of transition probability) is more appropriate for describing macroscopic phenomena, notably sound waves.
While quantum mechanics and classical mechanics are distinct frameworks applicable to different scales and types of physical systems, B-matrix string mechanics effectively applies to both scales.
The correspondence principle according to which in the limit of large quantum numbers the predictions of quantum physics become identical to the predictions of classical physics does not apply to sound waves.
1- Theory and design of audio rooms -A statistical view
, IJISRT Review, Researchgate, July 2023.
2-Theory and design of audio rooms-Reformulation of the Sabine formula, IJISRT Review, Researchgate, October 2021.
Answer this question