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The Uncertainty Principle: A Variable Concept. It Depends on the Complex Physical Time Only

Prasenjit Debnath

Published Jun 11, 2021• 0 citations
Publisher

Abstract

The uncertainty principle states that the amount of uncertainty of a particle’s velocity multiplied by the amount of uncertainty of a particle’s position is a constant. In other words, the more certain about particle’s velocity, the less certain about particle’s position and vice versa. This chapter will focus on that the uncertainty measure is not a constant but a variable quantity. The uncertainty principle is situation based realism. In certain situations, it is more and in certain situations, it is less. The variable uncertainty principle is that the total amount of uncertainty of position and velocity multiplied by the total amount of certainty of position and velocity is a constant. I will also discuss that the physical time is a complex quantity and the variable uncertainty principle actually depends on the complex physical time. The complex physical time has two parts – the real physical time and the imaginary physical time.

DOI
10.9734/bpi/nupsr/v8/10214d

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The uncertainty principle states that the amount of uncertainty of a particle’s velocity multiplied by the amount of uncertainty of a particle’s position is a constant. In other words, the more certain about particle’s velocity, the less certain about particle’s position and vice versa. This chapter will focus on that the uncertainty measure is not a constant but a variable quantity. The uncertainty principle is situation based realism. In certain situations, it is more and in certain situations, it is less. The variable uncertainty principle is that the total amount of uncertainty of position and velocity multiplied by the total amount of certainty of position and velocity is a constant. I will also discuss that the physical time is a complex quantity and the variable uncertainty principle actually depends on the complex physical time. The complex physical time has two parts – the real physical time and the imaginary physical time.
The uncertainty principle states that the amount of uncertainty of a particle's velocity multiplied by the amount of uncertainty of a particle's position is a constant. In other words, the more certain about particle's velocity, the less certain about particle's position and vice versa. This paper will focus on the uncertainty measure is not a constant but a variable quantity. The uncertainty principle is situation based realism. In certain situations, it is more and in certain situations, it is less. The variable uncertainty principle is the total amount of uncertainty of position and velocity multiplied by the total amount of certainty of position and velocity is a constant. I will also discuss that the physical time is a complex quantity and the variable uncertainty principle actually depends on the complex physical time. The complex physical time has two parts - the real physical time and the imaginary physical time.
Quantum certainty mechanics is a theory for measuring the position and momentum of a particle. Mathematically proven certainty principle from uncertainty principle, which is basically one of the most important formulas of quantum certainty mechanics theory. The principle of uncertainty can be proved by the principle of certainty and why uncertainty comes can also be proved. The principle of certainty can be proved from the theory of relativity and in the uncertainty principle equation, the principle of certainty can be proved by fulfilling the conditions of the principle of uncertainty by multiplying the uncertain constant with the certain values of momentum-position and energy-time. The principle of certainty proves that the calculation of θ ≥π/2 between the particle and the wave involved in the particle leads to uncertainty. But calculating with θ=0 does not bring uncertainty. Again, if the total energy E of the particle is measured accurately in the laboratory, the momentum and position can be measured with certainty. Quantum certainty mechanics has been established by combining Newtonian mechanics, relativity theory and quantum mechanics. Quantum entanglement can be explained by protecting the conservation law of energy.
At the quantum scale, objects such as fundamental particles, atoms, and molecules are modeled as localized wavepackets rather than concrete objects. As such, some quantities that are well-defined at our human scale physics instead become uncertain. For instance, quantum objects do not have a precise position, and instead their position is understood probabilistically and we look to the expected, or average, value of the position. Another quirk of quantum mechanics is that quantities such as position and momentum become operators that act on functions, similar to matrices acting on vectors. As such, quantities that may have commuted classically may not at the quantum level. For instance, position (x) and momentum (p) commute in classical physics (xp = px), but they do not commute at the quantum level (xp ≠ px). For noncommuting operators A and B, the uncertainty principle qualitatively describes how well one can know A and B simultaneously: the more certain one is of the value of A, the less one knows the value B and vice versa. The standard example is that of position and momentum: the Heisenberg uncertainty principle states that the more certain one is of the position of a quantum object, the more uncertain one is about its momentum. The classic uncertainty principles between noncommuting operators are those of position and momentum, the z and x or y components of angular momentum, and number and phase operators. These operators are very rigid and do not provide easy generalization to more general operators. In this project, we used an infinite matrix representation to analyze the uncertainty principle underlying position and momentum which allows for broader generalization. The biggest component of this project was determining eigenvalues of infinite banded matrices which was aided by the use of the mathematical software Mathematica.
Quantum certainty mechanics is a theory for measuring the position and momentum of a particle. Mathematically proven certainty principle from uncertainty principle, which is basically one of the most important formulas of quantum certainty mechanics theory. The principle of uncertainty can be proved by the principle of certainty and why uncertainty comes can also be proved. The principle of certainty can be proved from the theory of relativity And in the uncertainty principle equation, the principle of certainty can be proved by fulfilling the conditions of the principle of certainty by multiplying the uncertain constant with the certain values of momentum-position and energy-time. The principle of certainty proves that the calculation of θ π/2 between the particle and the wave involved in the particle leads to uncertainty. But calculating with θ=0 does not bring uncertainty. Quantum certainty mechanics has been established by combining Newtonian mechanics, relativity theory and quantum mechanics. Quantum entanglement can be explained by protecting the principle of conservation of energy.