1.Exploring Physics

1.1            Introduction

Agreements about the conclusions presented here and throughout the remaining articles of this WEB site are contingent on the acceptance of a new concept.  Questioning theories, technology, and scientific advancement is an unending job for scientific community.  In the process, many facts are gathered; some factual and difficult to understand and some are mathematical forms containing question marks.  Here for evaluation is a new energy concept.  It begins with a simple algebraic manipulation of a quantum characteristic of an atomic particle.  It is a welcome simple solution and it answers long awaited queries.  The new concept is the answer to combining electromagnetic, gravity (Newton’s) and nuclear forces and it connects the microscopic world of the atom of quantum physics and all its forces with the macroscopic world.   It opens a new vista of physics and opens the door to extend our present day accomplishments.  It gives a new appreciation to quantum physics and causality at the atomic level; it presents a relation between gravity and electromagnetic waves.  In addition, it introduces another aspect about the Speed of Light (SOL).  As a result, cosmology, red shift, Doppler shift, Einstein’s world for measurements of time and distance are affected.

1.2            Particles and/or Waves

Quantum physics combined wave and particle concepts in physics.  It is a synthesis of when to treat an electron as a particle and when to treat it as a wave.  The Shroedinger wave equation replaces F = ma for atomic level particles.  It is the basis for treating and defining electrons in an atom’s structure.  Some probability and some causality are involved.   It was the big break through of the twentieth century and answered questions that Classical Physics was unable to answer.  A comprehensive study of quantum physics is necessary.   This article will consider those quantum concepts germane to an understanding of the new energy concept.

1.3             Simple/Complex Solutions

There are many complex laws of physics presented in simple forms.  A prime example is Ohm’s Law V = IR.  This equation holds for good conductors under usual environmental conditions.  It is an oversimplification of a more useful and detailed form of the equation which can be derived from Maxwell’s equations, namely J = σε (This is Ohm’s Law at a point where J is current density, σ is conductivity and ε is electric field intensity).

The wave-particle concept developed by DeBroglie is a challenge.  It is difficult to understand because according to the uncertainty principle space and time are not defined when considering a single quantum.  Quantum theory has evaded most of the difficulties involved by using statistics and probability of configuration.  At any given time a single electron, photon or any atomic particle can be thought of as a separate entity.  As an example, even though the Shroedinger wave equation replaces F = ma for particles (electron behavior) at the atomic level, the mathematics presented below is quite simple and easy to understand.   It connects a quantum concept, a photon, into a particle world of Einstein. 

E = mc2 = hf (single quantum)   E is energy

    mc(c) = hf                                        m is mass

        mc = hf/c                                      c is speed of light

        mc = h/λ                                       h is Planck’s constant

            λ= h/p                                      λ is wavelength and p is momentum

The above example and derivation is our connection in the real world to television. 

Some of the complex solutions are the Einstein’s relativity theories (75 tensor equations) and the Shroedinger wave equation (which can only be solved for the hydrogen atom-one electron).  The solutions to the Shroedinger equations for atoms of many electrons are approximations.  The lists go on ad infinitum.  The challenges confront scientists on a daily basis and require great understanding.  In these cases, historical development of the physics concepts forms the needed understanding.  In their review, they find that many new discoveries and changes in the laws have transpired.  It is found that other questions (his/her own) arise which present a challenge and must be investigated.   If they do not agree with popular opinion, an evaluation by his or her peers is necessary. 

Although quantum physics connects the electromagnetic forces and weak forces, scientists are still pursuing a way to connect gravity (the gravity of Einstein) to a unified field theory.  It is hard to understand how gravity according to the General Relativity Theory (GRT) of Einstein connects with particles at the atomic level.  A new approach in this book, which is developed from an atomic level concept from Quantum Physics, solves the problem.  It connects electric, magnetic and the gravity force field of Newton.  Gravity at the atomic level is important and the atom is incomplete without it.  Even though, gravity (Newton) force is insignificant at the atomic level for particles and waves (electrons), it does play an important role for stability and phase demands.

According to the uncertainty principle, one cannot define the position for an atomic particle (electron).  Quantum physics has evaded most of the difficulties involved by using statistics and probability of configuration for the many atoms, photons, electrons etc.  In the next section 2.4, a special energy state is presented for an electron and it is completely general because it doesn’t care about the electron’s positioning.  At the atomic level there is an implicit property that relates to gravity (Newton), but can it be made plausible and useful in everyday physics?  The question remains how it can come about.  Besides being plausible, it is a new connection to the macroscopic world and combines all forces.  It is an energy equation in terms of electric, magnetic and gravity of Newton.

1.4            The New Vision

The new vision is another of the simple solutions.  It can begin by considering an isolated energy state (a single energy state) for an electron in an atom.  Is this something novel?  Not really, DeBroglie did it when he developed the accepted wave/particle concept.  The Bohr magneton for an electron is an isolated energy state (solutions to the Shroedinger equation produce Eigen values that are isolated energy states for the electron).  The Bohr magneton offers insight into the atom and its energy levels (R-values) by pinpointing the electron’s gravity (Newton) for each orbit of the atom.  The movement of the electron follows the requirements of the Shroedinger wave equation.   Characteristic frequencies (photon energy) that define materials are dependent on energy levels.  Transition of an electron to a new R-value in an atom is pre-determined, predictable, and necessary for atom stability.  The same thought process that DeBroglie used is proper here and does not violate probability configuration.  The Quantum Physics artice defines quantum  energy concepts, energy exchange and period (phase requirement) of the electron wave and its boundary values. 

Proportional to both the orbital and the spin angular momenta of the electron in an atom  are magnetic moments M.  These are expressed in terms of the Bohr magneton where  M = he/4πm is a single quantum and an isolated energy state.  h is Planck’s constant, e is electronic charge and m is mass of the electron.  Energy is E = MB, where:  B is magnetic vector potential (applied externally) or produced implicitly because of an electron traveling in its orbit.

Substituting:  E = MB = he/4πm B

A simple algebraic manipulation of this energy equation results in the following:

E = he/R2 divided by m/R2 times B, R (distance to the nucleus)            (1)

e/R2 = e-electric field, m/R2 = G (definition), and B is magnetic vector potential

Equation (1) transforms to a field energy equation; it is an isolated energy state.

 

E = h eB/G     new energy equation                                          (2)

 

Equation (2) is a field energy equation and has the potential of unifying al forces because it combines electric field, magnetic vector potential, gravitational force field (Newton) and implicitly contains the nuclear force thru the Bohr magneton’s relation to the nuclear magneton.

G in equation (2) is a gravity force field at the atomic level for the electron and its force is negligible at the atomic level when compared to other forces in the atom. It is a significant factor when considered universally because the transition of an electron to a new R-value in an atom is predetermined, predictable, and necessary for atom stability.  This energy equation relates to an electron wave (Poynting Vector-energy at a point) and it is an  inverse function of  Newton’s gravity. 

There are questions:   How can the above concept be justified and can the energy equation derived from a quantum concept apply universally and be consistent with the physics world today?  According equation (2), it contains ε-electric field intensity, B-magnetic vector potential, and G-gravity force field.  These are all vector fields and can combine with like vectors.  The atom’s characteristics will change subject to the electric field, magnetic field, or gravitational force field of the medium in which it exists.  Therefore, the new energy equation applies universally.  The results address energy conversion as a direct function of wave energy and an inverse function of gravity force field.  It is the connection to the macroscopic world.

1.4.1    Energy Conversion

The derivation of Einstein’s famous equation is in the Prologue.

mc2 = m0c2 + ½ mv2

½ m0v2 is kinetic energy, 1/2mv2 = E = (m – m0)c2 = Δmc2.

Δmc2 is radiant energy, ½ mv2 is kinetic energy (KE), and potential energy (PE) is zero for a particle.  For our case it can be stated that PE + KE + RE (radiant energy) = constant and the difference in the two worlds is whether PE ~ 0 or RE ~ 0.  A man walking around on earth has PE and KE, but he radiates very little.  An electron moving very fast has KE and RE but it PE is negligible.

Using equation 2 of the previous section and applying this same reasoning to an energy system on earth and that on the moon, the energy conversion of the two systems is inversely proportional to the gravitational force field.  Consider hitting a golf ball two hundred yards on earth and its required positive work force.  The golf ball hit on the moon with the same force resulted in a more efficient energy conversion.  PE + KE + RE = a constant.  In this case, the golf ball slows on earth because of the friction of the atmosphere (RE) and gravity.   PE of the golf ball on earth was more than on the moon.  KE on the moon was greater than on earth because of less loss to RE and gravity.  This example is one of many, which confirms the credibility of the new energy equation and demonstrates that energy conversion is inversely proportional to Newton’s gravitational force field. 

1.5            Justification

To justify our new equation a comparison is in order.  It begins again by considering an isolated energy state for an electron in an atom.  Its result is necessary as a comparison and proof for that equation.  Repeating consideration of section 2.4 is necessary.

There are magnetic moments M associated with an electron moving in an atom that are proportional to both the orbital and spin angular momenta for an electron in a particular shell.  The Bohr magnetron expresses isolated energy states for the electron.  The magnetic moment times the magnetic vector potential (B field intrinsic or extrinsic to the atom) is an energy term that relates to energy changes at the atomic level.

Bohr Magnetron M = he/m

Where: h is Planck's constant divided by 2p, e is electronic charge, and m is electron mass.

And Energy E = MB = he/m times B

An electron wave can be thought of as an isolated energy state that is capable of moving (or positioning itself) in a shell about the atom.  The following is a review to demonstrate electron wave movement.

Bohr Magneton can also be expressed as E = he2pR2f/mc.       

Intrinsic B = pR2ef/c = iA, c is SOL (by definition this is the electron movement in an orbit about the nucleus) and “i” is current due to the electron moving around the nucleus.  A is the area of the orbit, and f = w/2p, w is due to a combination of spin and angular frequency of rotation.

Differentiating E with respect to R, dE/dR = 2he2pfR/mc

dE/dR = e2wRl,  where l = h/mc                           (3)

2pR = nl,        where n = 1, 2, 3, etc. (Bohr’s third postulate-more later)

 In the next section identical results to Equation 3 via another differentiation.

1.6            Energy Equation

Next, it is necessary to review the derivation for the new energy equation developed in section 2.5 above.  Equation (2) is an isolated energy state.  In all cases of dealing with energy properties of an electron, isolated energy states are a beginning point.

E = h eB/G     (2)

It combines electric field, magnetic vector potential and gravitational force field in a unified energy equation.

Does this new equation agree with previous knowledge of particulate isolated energy states of an electron equation 3, section 2.5?  Consider equation (2) and differentiate it with respect to R.  If it has truly not changed anything, the result will be the same as equation (3) in section 2.5.

dE/dR = dE/de de/dR + dE/dB dB/dR + dE/dG dG/dR

Solving from (2) above:   (a) dE/de = hB/G, (b) dE/dB = he/G, (c) dE/dG = -heB/G2

Solving continued:  (d) de/dR = -2e/R3 (e) dB/dR = 2PRef/c, (f) dG/dR = -2m/R3

Combining (a) through (f):  dE/dR = h [B/G (-2e/R3) + e/G (2PRef/c) + -eB/G2 (2m/R3)]

B/G = pR4ef/mc, e/G = e/m, eB/G2 = pR4e2f/m2c

and substituting, dE/dR = h[-2pRfe2/mc + 2pRfe2/mc + 2pRfe2/mc]

dE/dR = h/mc times e2Rw = le2Rw

The result of this differentiation is identical to the previously derived dE/dR (equation 3 of Section 2.5).  Section 2.5 approach was straight forward and a simple differentiation.  The second approach although complex using partial derivatives was necessary to stress the validity of the energy equation expressed as a combination of fields and a force field.  A quasi-classical/quantum concept converts for an isolated energy state and incorporates the field equations of Maxwell and Newton’s law of gravity.  The e and B fields are considered as two aspects of a single phenomenon, an electromagnetic wave whose source is a moving charge (the electron is in a stable atom).  Equation 2 is a new energy concept.  The new force field equation in conjunction with quantum concepts complements energy level changes.  Its development, validation, and usefulness follow in the remaining articles.

1.7            Conclusions

Our new energy concept includes an electromagnetic wave and Newton’s gravity.  The gravity at the atomic level, though small, is important.  It becomes a giant when applied universally.  It opens the door for the consideration of many new phases.  It is important to the atom and its identity as well as energy, frequency shifts, speed of light and all aspects of astronomy and cosmology when dealing with the big picture.

Present day physics has been successful in explaining the world of the atom and all electromagnetic forces but thus far, it has failed to describe the gravitational force (according to Einstein).  The new concept developed here provides a new vision requiring further investigation of existing concepts.  The energy equation E = heB/G is complete because it can explain electromagnetic, gravity and nuclear forces and connects Newton, Maxwell and Einstein.  It also addresses energy conversion (see section 2.4.1) in different gravitational systems (moon, earth, other planets, stars etc.).  Nuclear forces are implicit in the result because the nuclear magneton is defined as 2.79 times the Bohr magneton for the proton and1.91 times for the neutron.  The energy result is an extension of quantum physics because it includes gravity force.  It denies none of the existing concepts of physics and is mathematically credible. 

The new energy equation:  Photon E = heB/G = mc2

The energy equation is in agreement with black holes as a reality.  Infinite gravity results in zero energy.  There is a connection to Einstein’s works, Newton’s works, Maxwell’s works and article introduces a new aspect for dealing with the speed of light. The speed of light will be presented as a variable denying it as a universal constant.  There are no Strings attached (pun intended) because the new energy equation and its application fits all aspects for the force fields at the atomic level as well as the solar system and universe level.

The remaining articles will expand on the new energy concept and possible applications.  It will answer questions about the SOL, time and distance measurements, Einstein’s relativity and measurements, Doppler and gravity shifts, and observations of the universe.  The new energy concept presents causality for gravity at the atomic level in a new light.  In the remaining articles, Newton’s gravity replaces Einstein’s gravity in the combination of all forces.  It is a much simpler approach and it expands the physics world.