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Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.

Physicists who are proponents of the Standard Model realized in order for it to agree with observations it was necessary to imagine a new field called the Higgs which must exist everywhere in the universe to explain what mass is and its resistance to acceleration. However, shoring up existing theories by inventing new theoretical components to the universe is dangerous, and in the past led physicists to hypothesize a universal aether but the more math they did, the more they realized that the Higgs field simply had to be real. The only problem? By the very way they’d defined it, the Higgs field would be virtually impossible to observe.

However, if they had spent the time to analyze the conceptual foundations of Einstein, they would have realized that he had already explained mass and its resistance to motion in terms of his math and observations.

He was able to explained the physicality of mass in terms of an increase in the energy density of space while defining its resistance to a change in motion terms of it occupying a “flat” region in space-time.  This is because he showed us the increase in the energy density caused by mass results in the “surface” of space-time to be curved. Therefore, one can assume a mass moving at a constant velocity MUST be moving through “flat” region of it whose energy level is constant because if it was not, it would be accelerated.

Yet this also allows one to define relative motion in terms of the different energy levels they occupy in space-time.  For example, Einstein’s equation E=mc^2 that defines the

equivalence

between mass and energy tells us the magnitude of them would be directly related to mass.  In other words, a large mass that is not in relative motion with respect to smaller one would occupy a higher energy level.

However, if they were in relative motion one would have to add the energy associated with its motion to determine their relative energy levels.  Putting it another, way the difference between the energy levels of two objects in motion would not only be related to their mass but also to their relative velocities. Therefore, according to Einstein relative motion occurs when the difference between their energy levels in space-time exceeds what is associated with their masses.  Additionally, it tells us to change motion of mass one must also change its energy level.

(The reason all motion is relative is because as was just shown Einstein defined it only in terms of the difference in the energy level between masses in space-time.)

This conclusion is supported by the fact that Einstein derived the force of gravity in terms of a change in the energy levels occupied by a mass as it moves along a curvature in the “surface” of space-time.

This provides an explanation of the resistance, force, or energy required to change the motion of a mass that is consistent with Einstein definition of gravity because as was mentioned earlier the change in motion or acceleration of objects in a gravitational field is a result of them moving through different energy level in space-time. This suggests the resistance or force required to overcome the resistance or a change in motion of a mass is a result of the energy required to change the energy level it is occupying in space time.

This means that one may not have to as some have suggested “invent new theoretical components” to define mass and its resistance a change in its state of motion because as was shown above Einstein equation E=mc^2 defines its physicality in terms of the energy density of space-time while he showed that one can derive its resistance to a change in motion in terms of the force required to change the energy level it occupies in space-time.

Copyright Jeffrey O’Callaghan 2021

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Entanglement provides a VERY SIMPLE experimental way of determining if Quantum mechanics or Einstein’s Relativistic theories define why our universe is what it is.

This is because it is one of the central principles of quantum physics. In short it assumes two particles or molecules share on a quantum level one or more properties such as spin, polarization, or momentum. This connection persists even if you move one of the entangled objects far away from the other. Therefore, when an observer interacts with one the other is instantly affected.

However, it contradicts the central core Einstein’s theory of Relativity which states that no information can be transmitted instantaneously or faster than the speed of light.

Since these two concepts are diametrically opposite, if one can define the mechanism responsible for entanglement in terms of either one it would invalidate the other will help us to understand why our universe is what it is.

This is because there is irrefutable experimental evidence the act of measuring the state of one of a pair of photons instantaneously affect the other even though they are physically separated from each other.

As was mentioned earlier quantum physics, assumes ALL entangled particles, not only photons remain connected so that actions performed on one immediately affect the other, even when separated by great distances.

While Einstein tells us that instantaneous or faster than light communication between to particles is impossible.  However, he also told us the distance between two objects or points in space is defined by their relative motion and that there is no preferred reference frame by which one can define that distance.

Therefore, he tells the distance between the observational points in a laboratory, can also be defined from the perspective of the photons moving at the speed of light.

Yet, his formula for length contraction (shown below) tells us the separation between those observational points from the perspective of two photons moving at the speed of light would be ZERO no matter how far apart they might be from the perspective of an observer in that laboratory. This is because, as was just mentioned according to the concepts of Relativity one can view the photons as being stationary and the observers as moving at the velocity of light.

Therefore, according to Einstein’s theory all photons which are traveling at the speed of light are entangled no matter how far they may appear to be someone who is looking at them.  Additionally, it also tells us information exchange between two entangle photons does not travel faster than the speed of light because from their perspective the distance between the observation points where information was read is zero.

In other words, entanglement of photons can be explained and predicted terms of the relativistic properties of space-time as defined by Einstein as well as by quantum mechanics.

HOWEVER, AS WAS MENTIONED EARLIER ONE OF THE CORE PRINCIPALS OF QUANTUM MECHANICS  IS THAT ALL PARTICLES SHARE ON A QUANTUM LEVEL ONE OR MORE PROPERTIES SUCH AS SPIN POLARIZATION OR MOMENTUM.

This gives us a way of experimentally determining which of these two theories define why entanglement occurs because if it is found that some particles that are NOT moving at the speed of light experience entanglement it would validate one of the core principals of quantum mechanics and invalidate Relativities assumption that information cannot be exchange instantaneously or faster that the speed of light.

However, one MUST ALSO use another core principle of quantum mechanics defined by De Broglie that particle are made up wave with a wavelength defined by ? = h/p to determine if it or Einstein’s theories define how the universe works. This is because it tells us all material particles have an extended volume equal to there wavelength

Yet because ALL particles have an extended volume equal to their wavelength there will be an overlap or entanglement if the distance separating them is less than their volume as defined by De Broglie.

This tells us some particles moving slower than the speed of light CAN BE entangled if the relativistic distance between the observation points from the perspective of the particles is less than their extended volume is because from their perspective they are in physical contact.

This means that both relativity and quantum mechanics tell us that all particles CAN be entangled if the distance between the end points of the measurements of their shared properties is less than their wavelength or volume as defined by De Broglie.

However, this gives us a way to DEFINITIVELY determine which one of these theories defines the reason for entanglement because we can precisely define the wavelength and therefore the volume of a particle by, as mentioned earlier using De Broglie formula ? = h/p while one can determine the relative distance between the observation points from the perspective of the particles being observed by using Einstein formula for length contraction.  If it is found entanglement DOES NOT occur if that distance is greater than a particles volume then it would invalidate the core principles of quantum mechanics that two particles or molecules share on a quantum level one or more properties such as spin, polarization, or momentum no matter how far they are separated.  However, if it is found that entanglement does occur even if the separation was greater than their volume it would invalidate the core principals of relativity that no information can be transferred faster that the speed of light.

In other words, it gives us a doable experimental that will UNEQUIVOCALLY tell us if Quantum Mechanics or Einstein’s’ theories define why the universe is what it is

IT CANNOT GET MUCH SIMPLER THAN THAT.

Copyright Jeffrey O’Callaghan Apr. 2021

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Richard Feynman the farther of Quantum Electrodynamics or “OED” realized the significance of the Thompson’s double slit experiment because it demonstrates the inseparability of the wave and particle properties of particles and felt a complete understanding of quantum mechanics could be gleaned from carefully thinking through its implications.

However it also allows one to understand the physical connection between quantum mechanics and the space-time universe of Einstein.

The double slit experiment is made up of “A coherent source of photons illuminating a screen after passing through a thin plate with two parallel slits cut in it. The wave nature of light causes the light waves passing through both slits to interfere, creating an interference pattern of bright and dark bands on the screen. However, at the screen, the light is always found to be absorbed as discrete particles, called photons.

When only one slit is open, the pattern on the screen is a diffraction pattern however, when both slits are open, the pattern is similar but with much more detailed. These facts were elucidated by Thomas Young in a paper entitled “Experiments and Calculations Relative to Physical Optics,” published in 1803. To a very high degree of success, these results could be explained by the method of Huygens–Fresnel principle that is based on the hypothesis that light consists of waves propagated through some medium. However, discovery of the photoelectric effect made it necessary to go beyond classical physics and take the quantum nature of light into account.

It is a widespread misunderstanding that, when two slits are open but a detector is added to determine which slit a photon has passed through, the interference pattern no longer forms and it yields two simple patterns, one from each slit, without interference. However, there ways to determine which slit a photon passed through in which the interference pattern will be changed but not be completely wiped out. For instance, by placing an atom at the position of each slit and monitoring whether one of these atoms is influenced by a photon passing the interference pattern will be changed but not be completely wiped out.

However the most baffling part of this experiment comes when only one photon at a time impacts a barrier with two opened slits because an interference pattern forms which is similar to what it was when multiple photons were impacting the barrier. This is a clear implication the particle called a photon has a wave component, which simultaneously passes through both slits and interferes with itself. (The experiment works with electrons, atoms, and even some molecules too.)”

As was mentioned earlier, one can understand this experiment in term of the physical properties of space-time and Relatively because they tell us wave energy moves continuously through space and time time unless it is prevented from by moving through time by someone observing or something interacting with it. This would result in its energy being confined to three-dimensional space. The science of wave mechanics also tells us the three-dimensional “walls” of this confinement will result in its energy being reflected back on itself thereby creating a resonant or standing wave in three-dimensional space. This would cause its wave energy to be concentrated at the point in space where a particle would be found. Additionally, wave mechanics also tells us the energy of a resonant system, such as a standing wave which this confinement would create can only take on the discrete or quantized values associated with its fundamental or a harmonic of its fundamental frequency. This means the particle quantum mechanic calls a photon would have an extended volume equal to the wavelength associated with its standing wave.(Note the boundaries or “walls” of its confinement would be defined by its wave properties. If an electromagnetic wave is prevented from moving through time it will be reflected back on itself. However, that reflected wave still cannot move through time therefore it will be reflected back creating a standing wave. Putting it another way wave itself defines its boundaries because if it cannot move though time it MUST STAND in place in the form of a standing wave.)

As was mentioned earlier one can use the above to demonstrate the physical connection between quantum mechanics and the space-time universe of Einstein.

Briefly it shows the reason why the interference pattern remains when one photon at a time is fired at the barrier with both slits open or “the most baffling part of this experiment” is because, as mentioned earlier it is made up of a standing wave therefore it occupies an extended volume which is directly related to its wavelength.

This means a portion of its energy could simultaneously pass both slits, if the diameter of its volume exceeds the separation of the slits and recombine on the other side to generate an interference pattern.  This would occur because wave energy is allowed to move freely through time.

However, when its energy is prevented from moving through time by contacting the screen its energy will be will confined to three-dimensional space causing it to be concentrated in a standing wave that as mentioned earlier would define the particle properties of a photon.

Additionally because the energy of the standing wave which earlier was shown to define a photon is dependent on its frequency the energy of the particle created when it contacts the screen must have the same energy. Therefore, were it appears on the screen will be determined by where the interference of the wave properties from each slit combine to produce enough energy to support its particle properties.

It also explains why the interference pattern disappears, in most cases when a detector is added to determine which slit a photon has passed through. this is because the energy required to measure which one of the two slits it passes through interacts with it causing the wavelength of that portion to change so that it will not have the same resonant characteristics as one that passed through the other slit.  Therefore, the energy passing thought that slit will not be able to interact, in most cases with the energy passing through the other one to form an interference pattern on the screen.

However it also explains why, as was mentioned “there are ways to determine which slit a photon passed through that will cause a change in the interference pattern but will not completely wiped it out.

The fact that the interference pattern can still occur even if a measurement is made is because if the energy passing through one of the two slits is altered by a relatively small amount compared to what it originally was, classical wave mechanics tells us it will be able to interact to form a slightly different resonant system with a slightly different interference pattern on the other side than would be the case if no measurement was taken.

However, this also means there should be a quantifiable minimum value of interaction between a measuring device and a photon that will permit the interference pattern although somewhat altered to be reestablished on the other side after measuring which slit the photon passes through.

Copyright Jeffrey O’Callaghan Apr. 2021

The Road to Unifying
QM with Relativity

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2007 thru
2010


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The Road to Unifying
QM with Relativity

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2011 thru
2014


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2015 thru
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The physicist John Wheeler once asked how can one can best describe the reality of quantum mechanics in five words or fewer? he determined the best answer was given by Aatish Bhatia “Don’t look: waves. Look: particles.”  He felt that describes it in “Nutshell” because the wavefunction maintains its mathematical properties until it is observed or interacted with and only after that does it transform or in quantum speak “COLLAPSE” to the physical reality of a particle.

Aatish definition of quantum mechanics demonstrates one of the difficulties in merging quantum mechanics with Einstein’s Relativistic Theories is explaining how and why the act of observing or interacting with the mathematical properties of a quantum environment it to “COLLAPSES” in the form of a particle.

Therefore, one requirement for merging it with Relativity would be to explain how and why observing it transforms its mathematical properties to a physical one of a particle.

One way of doing this is to use the fact that both their evolutions are controlled by a wave. For example, Relativity defines it in terms of the energy propagated by electromagnetic wave while Quantum Mechanics defines it in terms of the mathematical evolution of the wave function.

This suggests the wave function that governs the evolution of a quantum environment may be mathematical representation of the electromagnetic wave that governs the creation of particles in the universe of Relativity. This means we may be able understand the “COLLAPSE” of the wave function and why Don’t look: waves. Look: particles describe quantum reality by looking at how an electromagnetic wave evolves in the space-time environment of Relativity

For example, the science of wave mechanics and Relatively tells us wave energy would move continuously through space-time unless it is prevented from by moving through time by someone observing or something interacting with it. This would result in its energy being confined to three-dimensional space. The science of wave mechanics also tells us the three-dimensional “walls” of this confinement will result in its energy being reflected back on itself thereby creating a resonant or standing wave in three-dimensional space. This would cause its wave energy to be concentrated at the point in space where a particle would be found. Additionally, wave mechanics also tells us the energy of a resonant system, such as a standing wave which this confinement would create can only take on the discrete or quantized values associated with its fundamental or a harmonic of its fundamental frequency.

The boundaries or “walls” of its confinement would be defined by its wave properties. If an electromagnetic wave is prevented from moving through time it will be reflected back on itself. However, that reflected wave still cannot move through time therefore it will be reflected back creating a standing wave. The wave itself defines its boundaries because if it cannot move though time it MUST STAND in place in the form of a standing wave.

 

In other words, this shows one can use the established science of wave mechanics and physical world of Relativity to show why when some looks at a quantum existence it appears as a particle because that act creates boundaries required to create the resonant system which defines one.

This also shows how one can explain the COLLAPSE of the wave function and why Don’t look: waves. Look: particles” describes the quantum world in terms of the evolution of electromagnetic wave in the space-time environment of Relativity.

Copyright Jeffrey O’Callaghan Mar. 2021

The Road to Unifying
QM with Relativity

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2007 thru
2010

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The Road to Unifying
QM with Relativity

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2014

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The Road to Unifying
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2015 thru
2020

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In an earlier post An alternative to a singularity? Aug 15 2008 we defined what happens to matter and energy as it falls into a black hole in terms of inertial reference frames. However, we did not attempt to define what happens after that. The reason was because we must use Einstein’s mathematical definitions of the curvature in the geodesics that define how mass and energy move in a space-time environment to do so.  They tells us that it would take an infinite amount of time mass and energy to form singularity after passing through the event horizon of a black hole for the same reason we that observe it to take an infinite amount of time to reach it from the outside.

This is because as mass or energy is added to it the curvature defining its gravitational geodesic in space time expands adding another layer to it. However that does not mean that the matter or energy that is under that layer is free to move towards its center because the gravitational curvature in the geodesic that defines it movement is still there but at a lower gravitational potential. This means any matter or energy that exits at a layer under the event horizon could NOT move towards its center to form a singularity but can only move around the circular geodesic generated by the gravitational potential at that level. However, Einstein’s math tells us would take infinite amount of time to cross to a lower gravitational level. This is similar to the observations involving how matter and energy that tell us it take an infinite amount of time for it move through an event horizon from outside of black hole.

This tells us that either we have misinterpreted the math that tells us that a singular can exist at the center of a black hole or we must rewrite them based on the observations of how mass and energy interact with the event horizon of a black hole. We do not believe we have any other options base on those observations.

So if a singularly is not at the center of a black hole what is.

We know the densest form of observable matter is found in a neutron star where the gravitational forces are strong enough to overcome the forces keeping electrons protons and neutron apart. We also know that a neutron star is capable of becoming a black hole if it absorbs enough mass and energy to become a one. However, that does not mean that it collapses to a singularity. The total energy and therefore the total gravitational potential of the volume of space our solar system occupies consists of the mass and energy of the sun and the planets which are orbiting it. This observation suggests that the total mass in the volume of space occupied by a black hole maybe made up of the components of neutron star and the mass that as was show above would be orbiting it on the gravitational geodesic created by it. These observations of our solar system suggest that the central core of a black hole is NOT a singularity but the remnants of neutron star whose gravitational potential has been increase enough by the mass and energy that is orbiting in the gravitational geodesic created by it to form one.

Copyright Jeffrey O’Callaghan Mar. 2021

The Road to Unifying
QM with Relativity

part 1
2007 thru
2010

Ebook
$8.00

Paper Back
$15.00

The Road to Unifying
QM with Relativity

part 2
2011 thru
2014

Ebook
$8.00

Paper Back
$16.00

The Road to Unifying
QM with Relativity

part 3
2015 thru
2020

Ebook
$8.00

Paper Back
$18.00

 

 

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