The solution to a Schrodinger equation is the basis of a broad theory. The Dirac equation superseded the Schrodinger equation because it is relativistic and has 4 components that accurately represent half spin particles like the electron and quarks. This paper presents a way of making the Schrodinger equation relativistic. It has many components and is complex enough to represent the neutron, proton and electron but is general enough to help us understand nature. Our goal is to find clues related to creation. The Schrodinger equation described by MIT as unitary evolution [20] has a simple solution: Probability P=1 in the left hand side (LHS) of the Schrodinger equation is equal to the multiple of complex conjugate terms exp(iEt/H)*exp(-iEt/H) in the right hand side (RHS) where i is the imaginary number, H=Planck’s constant, E is field energy and time t is the time around a quantum circle at velocity C. (exp(iEt/H) stands for the natural number e to power iEt/H). Observation is fundamental to quantum mechanics and the Copenhagen interpretation indicates that we can only describe the probability of an event within certain limits. Shannon’s definition [9] of information (information = -natural logarithm(probability) will be used to explore the relationship between information and energy. Has something been separated in the multiple exp(iEt/H)*exp(-iEt/H)=1? The number 1 has been separated into two expressions that represent waves, but it is a dynamic separation; it repeatedly comes back to 1 as time moves forward. The idea that nature originates as a series of separations is an old idea, for example, recall that Genesis contains the words “So God made the expanse and separated the water under the expanse from the ... as Genesis 1:7 ends with the phrase 'from the water above it [the expanse]'. Another phrase from Genesis is “in the beginning was the word”. Consider a beginning with zero energy. This avoids the endless argument that things are made of other things, ad infinitum. Meaningful equal and opposite energy pairs come into existence at the same time but represent zero overall. Also consider probability one as a beginning condition. It simply means the universe exists.
The solution to a Schrodinger equation is the basis of a broad theory. The Dirac equation superseded the Schrodinger equation because it is relativistic and has 4 components that accurately represent half spin particles like the electron and quarks. This paper presents a way of making the Schrodinger equation relativistic. It has many components and is complex enough to represent the neutron, proton and electron but is general enough to help us understand nature. Our goal is to find clues related to creation. The Schrodinger equation described by MIT as unitary evolution [20] has a simple solution: Probability P=1 in the left hand side (LHS) of the Schrodinger equation is equal to the multiple of complex conjugate terms exp(iEt/H)*exp(-iEt/H) in the right hand side (RHS) where i is the imaginary number, H=Planck’s constant, E is field energy and time t is the time around a quantum circle at velocity C. (exp(iEt/H) stands for the natural number e to power iEt/H). Observation is fundamental to quantum mechanics and the Copenhagen interpretation indicates that we can only describe the probability of an event within certain limits. Shannon’s definition [9] of information (information = -natural logarithm(probability) will be used to explore the relationship between information and energy. Has something been separated in the multiple exp(iEt/H)*exp(-iEt/H)=1? The number 1 has been separated into two expressions that represent waves, but it is a dynamic separation; it repeatedly comes back to 1 as time moves forward. The idea that nature originates as a series of separations is an old idea, for example, recall that Genesis contains the words “So God made the expanse and separated the water under the expanse from the ... as Genesis 1:7 ends with the phrase 'from the water above it [the expanse]'. Another phrase from Genesis is “in the beginning was the word”. Consider a beginning with zero energy. This avoids the endless argument that things are made of other things, ad infinitum. Meaningful equal and opposite energy pairs come into existence at the same time but represent zero overall. Also consider probability one as a beginning condition. It simply means the universe exists.
Revised December 2017 Abstract for Part 1 Schrodinger Fundamentals Practitioners of quantum mechanics (QM) have known for some time that observations are probability based and that consciousness is involved [18][3]. Our mind is very good at creating an internal model of the information it receives from reality. Schrodinger’s equation helps understand the relationship between reality, our internal model, energy and time. I believe in physical reality but also believe that consciousness is a fundamental characteristic of nature. Evidence will be presented that consciousness created physical nature and provides structure that allows consciousness to re-emerge. Over centuries physical nature has been well characterized in terms of particles, fields, etc. It is not difficult to characterize these with information models. We will show energy components for neutrons, protons and electrons and their associated probabilities. Nature is based on quantum circles but they can be real or information based. The difference is important and leads to clues regarding nature’s enduring questions. Part 2 of this document presents details that support the part 1 concepts.
A wave equation already exists in classical physics (for example for a vibrating string) with a solution of the form exp(ikx-iwt) where k=2*3.14/wavelength and w=2*3.14 frequency. K and w are not simply linked to momentum and energy, but the wave is physically visible. The wavelike function exp(ikx-iEt) also appears in solutions for the photon, the relativistic Klein Gordon equation (and the Dirac too) as well as in the Schrodinger equation. This solution separates x and k and E and t so -id/dx exp(ikx-iEt) = k exp(ikx-iEt) and id/dt exp(ikx-iEt) = E exp(ikx-iEt). If a classical equation exists linking energy and momentum (like EE=pp+momo or E=.5mvv), one may convert it into a differential equation with independent fluctuations in x and t, but linked through the energy relationship. This retains the classical information, but introduces a wave solution. For the Schrodinger equation with a potential, exp(-iEt + i Integral (0,x) dx1 v(x1)m is a solution which is equivalent to exp(i Integral (0,t) L dt1) where L is the Lagrangian. In this case, -id/dx exp(i action) = p(x) exp(i action) and id/dt exp(i action) = E exp(i action). This also holds for the relativistic Lagrangian -mo sqrt(1-vv). In the case of an electromagnetic potential v dot A, one may write Integral dt1 v dot A = Integral (0,x) dx1 dot A and so A behaves exactly like p(x). For the case of light, exp(ikx-iEt) follows as a solution of a wave equation for either the electric or magnetic fields (which follows from Maxwell’s equations). The equation: d/dt (.5eoEl El + .5/uo BB) + grad dot El x B = 0 (for no source) also follows from Maxwell’s equations. It is an equation relating energy density to momentum flux and also allows for an exp(ikx-iEt) solution if El and B have the same magnitude (c=1) and are perpendicular to each other and the motion of the photon.
The Quantum theory deals with the microscopic structure of the Universe that describes the finer details of nature at the subatomic domain.To a physicist, quantum mechanics is one of the three great pillars supporting our intuition of evocative, bewildering and fascinating natural World as we continuously struggle with the inescapable strangeness of the subatomic domain as if something strange is always afoot.It is well accepted fact that quantum mechanics is a physical theory that describes the way things behave at subatomic level which is quite dazzling in its precision and explanatory power.A test of quantum electrodynamics, the oldest and best understood of the modern quantum theory that involves measuring the way an electron behaves in the vicinity of a magnetic force. Many of the technological and social changes that have revolutionized our lives have actually risen out of the fundamental theoretical research carried out with only motivation to understand the World in a better way than ever. For example, the invention of transistor actually came with the fundamental theoretical research on the Uncertainty Principle which states that the uncertainty of the position of a particle times the uncertainty of its velocity is always a constant. If we double the certainty of the position of the particle, we have to make half the certainty of its velocity and vice versa. Quantum theory is perhaps the prime example of the infinitely esoteric in the sense that it describes a World in which a particle really can be in several places at once and it moves from one place to another by exploring the entire Universe simultaneously-the theory of simultaneity. The diverse and complex Universe is actually made of a few tiny particles according to the rules of quantum theory which is so simple that can be summarized on the back of an envelope. The more we understand about the elemental nature of the Universe, the simpler it looks. We have already discovered that everything in the diverse and complex Universe is nothing but the different assemblies of atoms, and the wide variety of atoms are constructed using the three building blocks at the sub-atomic domain i.e. subatomic particles: protons, neutrons and electrons. We have also discovered that protons and neutrons ate made up of combination of three entities called quarks. And that is where things stop as far as recent discovery is concerned. But the recent progress in particle physics inspiring the quest for the ultimate unified theory of physics that can describe everything in the Universe in one go. The discovery of Boson particle certainty will revolutionaries the Newton's mass concept and gravity into whole new looks. To an optimistic point of view, we must hope the best out of the progress in physics.
Most of nature is not hard to understand using the right approach. Understanding involves correlating data in a different way. Information (N) is defined by the negative natural logarithm of probability (N= - ln P) but the key equation is a new relationship between energy and information. The equation is E=e0*exp(N) where e0 is an energy constant and exp(N) stands for the natural number 2.718 to the power N. N values are found from data gathered by high energy labs. This paper describes how nature originates from these values. Nature repeatedly uses an operation involving separation of some information from other information. But there are important properties that are maintained and thought to be initial conditions. One property is probability one and another is zero energy. Separation occurs between N for the mass and N for field energy in a neutron. This causes an individual neutron to very improbable. But probability one is maintained by the creation of a huge number of neutrons. A mass model of the neutron was developed using information values that represent its components. The model is based on information separation between components of the neutron. Zero net energy is maintained. Mass with kinetic energy is positive balanced by negative field energy. It will be shown that the model contains energy values that unify nature’s four fundamental interactions. An information value associated with the electromagnetic field is of interest to biology. Combined with a quantum mechanical equation for light absorption multiples of this value can be used to model our human color vision system. This links internal observations with information and is a clue regarding signaling and response in our brain’s neural networks. Specifically the author proposes that there may be molecular level storage and interaction involved in perception. There are observations in physics that require explanation beyond physical networks. The dual slit experiment, instantaneous action at a distance (EPR) and collapse of a wave-function can be explained if perception is information gain occurring at the quantum level in a zero based system (zero energy and probability one). Four types of time are involved. Frequency is associated with fundamental particles and field energy. Time that repeats around a quantum orbit is defined by mass with kinetic energy attracted to field energy. A third kind of time repeats and moves forward. It is related to an information operation that underlies gravitation and cosmological space and time. Nature positions particles in space by giving them kinetic energy to expand. The freedom to move is due to time dilation associated with kinetic energy. Expansion is another separation process. As particles expand, groups of particles form clusters, galaxies, stars and planets under the influence of gravity, then form chemicals under the influence of electromagnetic fields. Overall, separation leads to components that fit together, similar to a picture puzzle and its individual pieces.
Most of nature is not hard to understand using the right approach. Understanding involves correlating data in a different way. Information (N) is defined by the negative natural logarithm of probability (N= - ln P) but the key equation is a new relationship between energy and information. The equation is E=e0*exp(N) where e0 is an energy constant and exp(N) stands for the natural number 2.718 to the power N. N values are found from data gathered by high energy labs. This paper describes how nature originates from these values. Nature repeatedly uses an operation involving separation of some information from other information. But there are important properties that are maintained and thought to be initial conditions. One property is probability one and another is zero energy. Separation occurs between N for the mass and N for field energy in a neutron. This causes an individual neutron to very improbable. But probability one is maintained by the creation of a huge number of neutrons. A mass model of the neutron was developed using information values that represent its components. The model is based on information separation between components of the neutron. Zero net energy is maintained. Mass with kinetic energy is positive balanced by negative field energy. It will be shown that the model contains energy values that unify nature’s four fundamental interactions.An information value associated with the electromagnetic field is of interest to biology. Combined with a quantum mechanical equation for light absorption multiples of this value can be used to model our human color vision system. This links internal observations with information and is a clue regarding signaling and response in our brain’s neural networks. Specifically, the author proposes that there may be molecular level storage and interaction involved in perception. There are observations in physics that require explanation beyond physical networks. The dual slit experiment, instantaneous action at a distance (EPR) and collapse of a wave-function can be explained if perception is information gain occurring at the quantum level in a zero based system (zero energy and probability one).
Despite its successes, quantum mechanics (QM) has remained mysterious to all who have encountered it. Starting with Bohr and progressing into the present, the departure from intuitive, physical reality has widened. The connection between QM and reality is more than just a “philosophical” issue. It reveals that QM is not a correct or complete theory of the physical world and that inescapable internal inconsistencies and incongruities arise when attempts are made to treat it as physical as opposed to a purely mathematical “tool.” Some of these issues are discussed in a review by F. Laloe [Am. J. Phys. 69, 655 (2001)]. In an attempt to provide some physical insight into atomic problems and starting with the same essential physics as Bohr of e moving in the Coulombic field of the proton and the wave equation as modified by Schrodinger, a classical approach is explored that yields a remarkably accurate model and provides insight into physics on the atomic level. The proverbial view, deeply seated in the wave-particle duality notion, that there is no large-scale physical counterpart to the nature of the electron may not be correct. Physical laws and intuition may be restored when dealing with the wave equation and quantummechanical problems. Specifically, a theory of classical quantum mechanics (CQM) is derived from first principles that successfully applies physical laws on all scales. Rather than using the postulated Schrodinger boundary condition “Ψ → 0 as r → ∞,” which leads to a purely mathematical model of the electron, the constraint is based on experimental observation. Using Maxwell’s equations, the classical wave equation is solved with the constraint that the bound (n = 1)state electron cannot radiate energy. By further application of Maxwell’s equations to electromagnetic and gravitational fields at particle production, the Schwarzschild metric is derived from the classical wave equation, which modifies general relativity to include conservation of spacetime in addition to momentum and matter/energy. The result gives a natural relationship among Maxwell’s equations, special relativity, and general relativity. CQM holds over a scale of spacetime of 85 orders of magnitude — it correctly predicts the nature of the universe from the scale of the quarks to that of the cosmos. A review is given by G. Landvogt [Internat. J. Hydrogen Energy 28, 1155 (2003)].