It is our science governs the mathematics and it is “not” our mathematics governs our science. One of the very important aspects is that every science has to comply with the boundary condition of our universe; dimensionality and temporal (t > 0) or causality. In which I have shown that time is real and it is not an illusion, since every aspect within our universe is coexisted with time. Since our universe is a temporal (t > 0) subspace, everything within our universe is temporal. Science is mathematics but mathematics is not science, we have shown that any analytic solution has to be temporal (t > 0); otherwise, it cannot be implemented within our universe. Which includes all the laws, principles, and theories have to be temporal? Uncertainty principle is one of the most fascinated principles in quantum mechanics, yet Heisenberg principle was based on diffraction limited observation, it is not due to the nature of time. We have shown it is the temporal (t > 0) uncertainty that changes with time. We have introduced a certainty principle as in contrast with uncertainty principle. Of which certainty subspace can be created within our universe; which can be exploited for application. Overall of this chapter is to show that; it is not how rigorous the mathematics is, it is the physical realizable paradigm that we embrace.
It is our science governs the mathematics and it is “not” our mathematics governs our science. One of the very important aspects is that every science has to comply with the boundary condition of our universe; dimensionality and temporal (t > 0) or causality. In which I have shown that time is real and it is not an illusion, since every aspect within our universe is coexisted with time. Since our universe is a temporal (t > 0) subspace, everything within our universe is temporal. Science is mathematics but mathematics is not science, we have shown that any analytic solution has to be temporal (t > 0); otherwise, it cannot be implemented within our universe. Which includes all the laws, principles, and theories have to be temporal? Uncertainty principle is one of the most fascinated principles in quantum mechanics, yet Heisenberg principle was based on diffraction limited observation, it is not due to the nature of time. We have shown it is the temporal (t > 0) uncertainty that changes with time. We have introduced a certainty principle as in contrast with uncertainty principle. Of which certainty subspace can be created within our universe; which can be exploited for application. Overall of this chapter is to show that; it is not how rigorous the mathematics is, it is the physical realizable paradigm that we embrace.
Since quantum mechanics is one of the pillars of modern science, this chapter discusses one of the most intriguing principles in quantum mechanics, the uncertainty principle. In this it examines Heisenberg's principle was based on a diffraction limited observation, instead of upon a “nature” of time, developing his principle. There is a profound relationship between science and mathematics, in which people have seen that without mathematics there would be no science. In other words, science needs mathematics but mathematics does not need science. Although science is mathematics, mathematics is not science. Since an empty subspace has “no time”, all particles within the subspace collapse or “superimpose” instantly all together at t = 0, because time is distance and distance is time. This is precisely what the “simultaneous and instantaneous” superposition principle does in quantum mechanics. One of the most intriguing principles in quantum theory must be Heisenberg's uncertainty principle.
Every physical science existed within our temporal subspace must be temporal (i.e., t > 0); otherwise it is a virtual (or fictitious) science as mathematics does. The burden of a scientific postulation is to prove that it exists within our universe and then find the solution. In this chapter we will show that there exists a duality between science and mathematics in which any scientific postulation has to be shown that it satisfied all the boundary conditions within our temporal universe, before accepting it as a real physical science. Otherwise their virtual solution does not guarantee it is a physical science. One of the important conditions must be the causality condition (i.e., t > 0) for which to confirm a solution is temporal and existed within our universe. Since the entire fundamental laws of science are mathematics, which includes the Maxwell equations, as well the Schrödinger equation [ 1 , 2 ], without the imposition of causality condition, we are not sure that the solution is a physically real science within our universe. Since we have shown Schrödinger quantum mechanics is timeless, we will show what would happen if his timeless superposition principle is plunging within a temporal space. In which we have found that timeless space is a virtual-abstract space that only existed in an absolute empty space with zero time (i.e., t = 0). And we have seen that only quantum physicists can implant a physical model into an empty subspace, as Schrödinger did. But empty space and temporal space are mutually excluded.
Every physical science existed within our temporal subspace must be temporal (i.e., t>0); otherwise it is a virtual (or fictitious) science as mathematics does. The burden of a scientific postulation is to proof it is existed within our universe and then find the solution. In this article we will show that, there exists a duality between science and mathematics in which any scientific postulation has to be shown it is satisfied all the boundary conditions within our temporal universe, before accepting it as a real physical science. Otherwise their virtual solution is not guarantee it is a physical science. One of the important conditions must be the causality condition (i.e., t>0) for which to confirm a solution is temporal and existed within our universe. Since the entire fundamental laws of science are mathematics, which includes the Maxwell equations, as well the Schrödinger equation, without the imposition of causality condition we are not sure that the solution is a physically real science within our universe. Since we have shown Schrödinger quantum mechanics is timeless, we will show what would happen if his timeless superposition principle is plunging within a temporal space. In which we have found that, timeless space is a virtual-abstract space that only existed in an absolute empty space with zero time (i.e., t = 0). And we have seen that only quantum physicists can implant a physical model into an empty subspace, as Schrödinger did. But empty space and temporal space are mutually excluded.
Since Schrödinger’s quantum mechanics developed from Hamiltonian, I will show that his quantum machine is a timeless (t = 0) mechanics, which includes his fundamental principle of superposition. Since one of the most controversial paradoxes in science must be Schrödinger’s cat. We will show that the myth of his hypothesis is “not” a physical realizable postulation. The most important aspect in quantum theory must be the probabilistic implication of science, a set of most elegant and simple laws and principles, which will be discussed. Since information and entropy have a profound connection, we will show that information is one of very important science in quantum theory, for which several significant aspects of information transmission will be stressed. Nevertheless, the myth of quantum theory turns out to be not Schrodinger’s cat but the nature of a section of time Δt. Since time is a quantity that we cannot physically manipulate, we could change the section Δt but not the speed of time. Although we can squeeze a section of Δt, but we cannot squeeze Δt to zero. And this is the ultimate quantum limit of “instantaneous” response we can never be able to obtain. Since time traveling is one of the very interesting topics in science, I will show that time traveling is impossible even at the speed of light. Nevertheless, I will show quantum mechanics is a temporal (t > 0) physical realizable mechanics, and it should “not” be as virtual and timeless (t = 0) as mathematic does.
Schrödinger’s quantum mechanics was developed on the top of a timeless subspace atomic model; his quantum world as well his fundamental principle is timeless (i.e., t = 0), which does not exist in our temporal (i.e., t > 0) universe. In this chapter, we shall attempt to develop a time-dependent or temporal quantum mechanics that exists within our temporal space (i.e., t > 0). The essence of using a temporal atomic model is that analytical solution as obtained from the model will guarantee its existence within our temporal universe. Otherwise fictitious solution may emerge such as the paradox of Schrödinger’s cat. In which we will show a timeless quantum mechanics can be made temporal, if it is built on a temporal subspace platform. Although Schrödinger quantum mechanics is timeless machine; it has produced unaccountable excellent solutions for practical application but as long its solution does not confront with the temporal or causality (i.e., t > 0) condition of our temporal universe. For instance, the fundamental principle of superposition has violated the causality condition and it is not a physical realizable principle that can be applied within our temporal universe.
The classical world, governed by classical physics, might have felt more intuitive and certain. However, the 20th century’s revolutionary birth of quantum mechanics opened a way to the “quantum world”. This chapter investigates the evolving concept of “world”, especially exploring the special and general theories of relativity, with Wittgenstein’s philosophical view that the world is composed of facts, or the existence of states of things. Quantum mechanics has two essential principles: The Heisenberg uncertainty principle and the new Heisenberg uncertainty principle, where the former indicates the inherent uncertainty within the quantum world and the latter uncovers the certainty under some circumstances such as quantum entanglement. Quantum mechanics, while having multiple interpretations, is considered a relatively complete framework; however, its “counterfactuals”—scientific facts that defy classical expectations—can be challenging for the classical understanding. Additionally, the potential for “backward causality” under time symmetry conditions adds another level of complexity. These counterfactuals and the possibility of backward causality don’t contradict existing facts, but rather signal the expansion of our scientific scope and, potentially, a new scientific paradigm.