What is Mass?

A top spinning on the table, or a gyroscope spinning in space, tends to maintain its orientation. Any disturbance to this orientation is resisted. This is inertia. The resistance is coming purely from its spinning motion. Non-cyclic motion has no such inertia.

Inertia is the characteristics of a spinning or cyclic motion. 

When we try to push a heavy metal ball hanging from a thread, it requires some force to move it. Most of the resistance is coming from its mass. This is also inertia. But this ball is not spinning. Its inertia is actually coming from the spinning particles within it. 

The heavy metal ball is made of atoms. Each atom is like a whirlpool. Most of the inertia of the atom is coming from the spinning neutrons and protons in its nucleus. Spinning electrons may contribute to this inertia but that is negligible.

Mass of an object is the sum total of the inertia of all spinning nucleons within it.

Mass of an object has 2 different components

  1. Inertia of one nucleon (proton or neutron).
  2. The number of nucleons making up the object.

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Rest Mass vs. Relativistic Mass

According to Physics, the photon has zero invariant or rest mass. But it has a relativistic mass of hv/c2.

In truth, the rest-mass of any object is always zero. When you are out in space alone with nothing around you, you are at rest because you do not feel any motion. The feeling of motion arises only when there is acceleration. Therefore, we equate “rest” to be same as the state of zero acceleration. 

When a physical object is moving at a “uniform velocity,” its acceleration is zero. Such an object may be considered to be at rest when alone out in space. This is the mathematical, or scientific view. Therefore, when a photon is moving at the uniform speed of light, its acceleration is zero. Scientifically, a photon is always in a state of “rest.”

Inertia is manifested only when an effort is made to change the “uniform velocity” of an object. We call this inertia “mass” in case of matter. We may call this inertia “consistency” in case of a photon. Its measure is hv/c2

This mass, or consistency, is manifested only at the moment of impact, when there is a deceleration. That is when momentum is manifested too. It is interesting to note that Newton used the word “motion” in the sense of momentum.

Physics calls it “relativistic mass.” But this is the mass, or consistency, that is manifested only when there is acceleration or deceleration. It is not manifested under uniform velocity.

This resolves the confusion between “rest-mass” and “relativistic mass.” 

The “rest-mass” of all objects is always zero. And the “relativistic mass” is the same as what we commonly understand to be the inertial mass.

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Substance and Consistency

Inertial mass is generally referred to as “mass” in case of matter. We shall refer to the inertial mass as “consistency” in case of light. Therefore, the “relativistic mass” of photon becomes the “consistency of light.”

We shall refer to consistency by the symbol C. Therefore, for light,

C = hv/c2 = (h/c2) v

This means, that the consistency is proportional to the frequency. The proportionality constant h/c2 has the dimensions of [MT] or “mass x time.” Therefore, consistency has the same dimension as mass. Consistency condenses into mass as frequency increases.

Thus, consistency condenses gradually into mass from photon to electron to neutron.

As consistency increases, so does inertia. The two might be considered synonymous. Since, inertia is the property of substance, this puts light in the category of substance.

We may broadly define substance as “anything that is substantial enough to be sensed.” The physical universe is made of substance that we sense with our physical senses. This includes light and not just matter.

We define consistency as the degree of substantiality of substance. It is recognized as density, firmness, or viscosity of the substance. For example, “Honey has higher consistency than water.” 

For “energy substance” consistency is measured per quantum, where quantum is determined by frequency.

For “material substance” consistency is measured by the mass of its elementary particle, such as, proton or neutron. The elementary particle of matter is determined by its smallest discrete inertia.

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Consistency of Matter

As light travels from a star to the far reaches of the universe, its consistency remains the same while its intensity decreases. The consistency is determined by frequency, while the intensity is determined by the amplitude of the light wave.

Similarly, as matter breaks down into smaller particles, its consistency remains the same while its amount decreases. The consistency is determined by the mass of a neutron, while the mass of the object is the aggregate of the mass of all the neutron particles in that object.

Therefore, the consistency of matter is “the mass of its core particle.” This takes into account the spectrum of matter. For example, the core particle of a black hole could be more massive than a neutron.

From the view of total mass, the consistencies of Earth and Sun are calculated in Relative Consistencies of Substance as follows:

C” (Earth) =  235.6
C” (Sun) = 256.6

And the relative consistencies are calculated as follows:

Crel (Earth) = 1
Crel (Sun) = 1.089

If we consider the core particle of Earth to be a neutron, then

C (Earth) = 77.6
C (Sun) = 84.5

This means that the core particle of Sun could be heavier than neutron. But this needs to be verified more carefully, since we are using relative velocities for the above calculations.

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BUDDHISM: The Four Noble Truths

Reference: Buddhism

[NOTE: In color are Vinaire’s comments.]

Our evolution depends on resolving the anomalies of the universe and not the fictitious “anomalies of self.”

When the Buddha finally managed to break through the spell of rapture that rooted him to the Immovable Spot for the forty-nine days of his enlightenment, he arose and began a walk of over one hundred miles toward India’s holy city of Banaras. Six miles short of that city, in a deer park at Sarnath, he stopped to preach his first sermon. The congregation was small—only five ascetics who had shared his severe austerities but had broken with him in anger when he renounced that approach, only to have now become his first disciples. His subject was the Four Noble Truths. His first formal discourse after his awakening, it was a declaration of the key discoveries that had come to him as the climax of his six-year quest. 

The first sermon of Buddha was on Four Noble Truths. It was a summarization of his key realizations of his six-year quest.

Asked to list in propositional form their four most considered convictions about life, most people would probably stammer. The Four Noble Truths constitute Buddha’s answer to that request. Together they stand as the axioms of his system, the postulates from which the rest of his teachings logically derive. 

The For Noble Truths stand as the axioms of Buddha’s system.

The First Noble Truth is that life is dukkha, usually translated “suffering.” Though far from its total meaning, suffering is an important part of that meaning and should be brought to focus before proceeding to other connotations. 

The First Noble Truth is that life is dukkha, usually translated “suffering.”

Contrary to the view of early Western interpreters, the Buddha’s philosophy was not pessimistic. A report of the human scene can be as grim as one pleases; the question of pessimism does not arise until we are told whether it can be improved. Because the Buddha was certain that it could be, his outlook falls within Heinrich Zimmer’s observation that “everything in Indian thought supports the basic insight that, fundamentally, all is well. A supreme optimism prevails everywhere.” But the Buddha saw clearly that life as typically lived is unfulfilling and filled with insecurity.

Buddha saw clearly that life as typically lived is unfulfilling and filled with insecurity.

He did not doubt that it is possible to have a good time and that having a good time is enjoyable, but two questions obtruded. First, how much of life is thus enjoyable. And second, at what level of our being does such enjoyment proceed. Buddha thought the level was superficial, sufficient perhaps for animals but leaving deep regions of the human psyche empty and wanting. By this understanding even pleasure is gilded pain. “Earth’s sweetest joy is but disguised pain,” William Drummond wrote, while Shelley speaks of “that unrest which men miscall delight.” Beneath the neon dazzle is darkness; at the core—not of reality but of unregenerated human life—is the “quiet desperation” Thoreau saw in most peoples’ lives. That is why we seek distractions, for distractions divert us from what lies beneath the surface. Some may be able to distract themselves for long periods, but the darkness is unrelieved.

Lo! as the wind is, so is mortal life:
A moan, a sigh, a sob, a storm, a strife.

By Buddha’s understanding even pleasure was gilded pain. 

That such an estimate of life’s usual condition is prompted more by realism than by morbidity is suggested by the extent to which thinkers of every stripe have shared it. Existentialists describe life as a “useless passion,” “absurd,” “too much (de trop).” Bertrand Russell, a scientific humanist, found it difficult to see why people should take unhappily to news that the universe is running down, inasmuch as “I do not see how an unpleasant process can be made less so [by being] indefinitely repeated.” Poetry, always a sensitive barometer, speaks of “the pitiful confusion of life” and “time’s slow contraction on the most hopeful heart.” The Buddha never went further than Robert Penn Warren:

Oh, it is real. It is the only real thing.
Pain. So let us name the truth, like men.
We are born to joy that joy may become pain.
We are born to hope that hope may become pain.
We are born to love that love may become pain.
We are born to pain that pain may become more
Pain, and from that inexhaustible superflux
We may give others pain as our prime definition.

Such an estimate of life’s usual condition is prompted more by realism than by morbidity.

Even Albert Schweitzer, who considered India pessimistic, echoed the Buddha’s appraisal almost to idiom when he wrote, “Only at quite rare moments have I felt really glad to be alive. I could not but feel with a sympathy full of regret all the pain that I saw around me, not only that of men, but of the whole creation.” 

In my opinion, the whole purpose of life is to evolve, and that is not easy. But with that purpose all pain becomes tolerable.

Dukkha, then, names the pain that to some degree colors all finite existence. The word’s constructive implications come to light when we discover that it was used in Pali to refer to wheels whose axles were off-center, or bones that had slipped from their sockets. (A modern metaphor might be a shopping cart we try to steer from the wrong end.) The exact meaning of the First Noble Truth is this: Life (in the condition it has got itself into) is dislocated. Something has gone wrong. It is out of joint. As its pivot is not true, friction (interpersonal conflict) is excessive, movement (creativity) is blocked, and it hurts. 

The exact meaning of the First Noble Truth is this: Life (in the condition it has got itself into) is dislocated. Something has gone wrong. It is out of joint. As its pivot is not true, friction (interpersonal conflict) is excessive, movement (creativity) is blocked, and it hurts. 

Having an analytical mind, the Buddha was not content to leave this First Truth in this generalized form. He went on to pinpoint six moments when life’s dislocation becomes glaringly apparent. Rich or poor, average or gifted, all human beings experience: 

1. The trauma of birth. Psychoanalysts have in our time made a great deal of this point. Though Freud came to deny that the birth trauma was the source of all later anxiety, to the end he considered it anxiety’s prototype. The birth experience “involves just such a concatenation of painful feelings, of discharges and excitation, and of bodily sensations, as have become a prototype for all occasions on which life is endangered, ever after to be reproduced again in us as the dread of ‘anxiety’ conditions.”

2. The pathology of sickness. 

3. The morbidity of decrepitude. In the early years sheer physical vitality joins with life’s novelty to render life almost automatically good. In later years the fears arrive: fear of financial dependence; fear of being unloved and unwanted; fear of protracted illness and pain; fear of being physically repulsive and dependent on others; fear of seeing one’s life as a failure in some important respect. 

4. The phobia of death. On the basis of years of clinical practice, Carl Jung reported that he found death to be the deepest terror in every patient he had analyzed who had passed the age of forty. Existentialists join him in calling attention to the extent to which the fear of death mars healthy living.

5. To be tied to what one dislikes. Sometimes it is possible to break away, but not always. An incurable disease, a stubborn character defect—for better or for worse there are martyrdoms to which people are chained for life. 

6. To be separated from what one loves. 

All human beings experience the trauma of birth, the pathology of sickness, the morbidity of decrepitude, the phobia of death, to be tied to what one dislikes, and to be separated from what one loves. 

No one denies that the shoe of life pinches in these six places. The First Noble Truth pulls them together by concluding that the five skandas (life components) are painful. As these skandas are body, sensations, thoughts, feelings, and consciousness—in short, the sum of what we generally consider life to be—the statement amounts to the assertion that the whole of human life (again, as usually lived) is suffering. Somehow life has become estranged from reality, and this estrangement precludes real happiness until it is overcome. 

The five components of life—body, sensations, thoughts, feelings, and consciousness—are painful. 

For the rift to be healed we need to know its cause, and the Second Noble Truth identifies it. The cause of life’s dislocation is tanha. Again imprecisions of translations—all are to some degree dishonest—make it wise to stay close to the original word. Tanha is usually translated as “desire.” There is some truth in this—the kind we encounter in Heartbreak House when George Bernard Shaw has Ellie exclaim, “I feel now as if there was nothing I could not do, because I want nothing,” which assertion moves Captain Shotover to his one enthusiasm in the play: “That’s the only real strength. That’s genius. That’s better than rum.” But if we try to make desire tanha’s equivalent, we run into difficulties. To begin with, the equivalence would make this Second Truth unhelpful, for to shut down desires, all desires, in our present state would be to die, and to die is not to solve life’s problem. But beyond being unhelpful, the claim of equivalence would be flatly wrong, for there are some desires the Buddha explicitly advocated—the desire for liberation, for example, or for the happiness of others. 

The Second Noble truth: The cause of life’s dislocation is tanha, usually translated as “thirst.”

Tanha is a specific kind of desire, the desire for private fulfillment. When we are selfless we are free, but that is precisely the difficulty—to maintain that state. Tanha is the force that ruptures it, pulling us back from the freedom of the all to seek fulfillment in our egos, which ooze like secret sores. Tanha consists of all “those inclinations which tend to continue or increase separateness, the separate existence of the subject of desire; in fact, all forms of selfishness, the essence of which is desire for self at the expense, if necessary, of all other forms of life. Life being one, all that tends to separate one aspect from another must cause suffering to the unit which even unconsciously works against the Law. Our duty to our fellows is to understand them as extensions, other aspects, of ourselves—fellow facets of the same Reality.”

Our duty to our fellows is to understand them as extensions, other aspects, of ourselves—fellow facets of the same Reality.

This is some distance from the way people normally understand their neighbors. The customary human outlook lies a good halfway toward Ibsen’s description of a lunatic asylum in which “each shuts himself in a cask of self, the cask stopped with a bung of self and seasoned in a well of self.” Given a group photograph, whose face does one scan for first? It is a small but telling symptom of the devouring cancer that causes sorrow. Where is the man who is as concerned that no one go hungry as that his own children be fed? Where is the woman who is as concerned that the standard of living for the entire world rise, as that her own salary be raised? Here, said the Buddha, is where the trouble lies; this is why we suffer. Instead of linking our faith and love and destiny to the whole, we persist in strapping these to the puny burros of our separate selves, which are certain to stumble and give out eventually. Coddling our individual identities, we lock ourselves inside “our skin-encapsulated egos” (Alan Watts), and seek fulfillment through their intensification and expanse. Fools to suppose that imprisonment can bring release! Can we not see that “tis the self by which we suffer”? Far from being the door to abundant life, the ego is a strangulated hernia. The more it swells, the tighter it shuts off the free-flowing circulation on which health depends, and the more pain increases.

Instead of linking our faith and love and destiny to the whole, we persist in strapping these to the puny burros of our separate selves, which are certain to stumble and give out eventually. 

The Third Noble Truth follows logically from the Second. If the cause of life’s dislocation is selfish craving, its cure lies in the overcoming of such craving. If we could be released from the narrow limits of self-interest into the vast expanse of universal life, we would be relieved of our torment. The Fourth Noble Truth prescribes how the cure can be accomplished. The overcoming of tanha, the way out of our captivity, is through the Eightfold Path.

The Third Noble truth: If the cause of life’s dislocation is selfish craving, its cure lies in the overcoming of such craving. 

The Fourth Noble truth: The way out of our captivity, is through the Eightfold Path.

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Newton, Einstein and Motion

Distinct Motions

With the analogy of a pool filled with water, there are two different kind of motions we are looking at.

  1. Motion of the wave in the water
  2. Motion of the whole pool of water.

Let’s consider a “particle” made of a material of certain consistency. Then we have two distinct motions:

  1. Motion of the material within the particle.
  2. Motion of the particle itself.

Motion type 1 is “continuous motion.” Motion type 2 is “discrete motion.”

When we are looking at the motion of a particle, we are looking at discrete motion. This is the kind of motion that Newton studied.

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Visualization of Motion

Newton visualized the motion of particles as the heavenly bodies moving in space. Here we have mass moving within an environment containing no mass. This is discrete motion. It would not be much different from neutrons moving in free space.

We find that discrete motion has to be relative because we are considering the speed of a particle relative to the speed of another particle. That is how Newton looked at all motion.

The speed of light was at first considered to be the motion of light corpuscles in the inertial frame of reference defined by Earth. It was, therefore, expected to be relative to the speed of Earth and other planets in the Solar system. When the Michelson-Morley experiment first determined that the speed of light was constant in different inertial frames, it came as a shock because it violated Newton’s relativity. In other words, it the speed of light was found to be independent of the motion of the observer against all expectations.

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The Speed of Light

Einstein then postulated the speed of light to be a universal constant. With the mathematics derived from this postulate Einstein was able to explain the anomaly observed in the orbit of planet Mercury. Einstein’s relativity essentially shifted the frame of reference from inertial mass to mass-less light.

Einstein also found that light was made of quanta, which was real, but he stopped short of calling light a substance. Like Newton, Einstein also looked at the motion of light corpuscles (as light quanta) relative to the motion of material particles assuming both to be point particles. Einstein’s mathematics was right but it was limited to the mathematical interpretation of light quantum as a point particle.

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The Particle

Light does not have mass, but it has momentum. This means that light has a mass-like consistency. Therefore, light is a substantial wave much like the wave of sound. The only difference is that light is not made of atoms.

Only those “particles” with center of mass may be conceptualized as point particles. Light does not have mass; and, therefore, it cannot be considered to be made of point particles.

The size of the particle shall be related to the wavelength of the material. The wavelength of the mass inside a neutron is extremely small. So, when we consider a neutron as a particle, we know it to be very small.

When we consider an electron to be a particle, we know its wavelength to be much larger than that of neutron. Compared to the size of the neutron, the electron would be about the size of a hydrogen atom.

When it comes to light, its particle is incredibly large. And, the particle of gravity may be as large as the universe.

So, in the case of light, we may visualize, the substance of light moving within the light particle, which would be continuous motion (motion type 1).

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Relative vs. Absolute Motion

Whereas, discrete motion is always relative, we find a different situation with respect to continuous motion. Here we are looking at the speed of substance to be determined by its own medium, and not relative to something external to it.

For example, the speed of sound is determined from the characteristics of its medium. In this sense, the speed of sound may be looked upon as absolute because it does not depend on the speed of the observer. Similarly, Maxwell could determine the speed of light from the permeability and permittivity of space. This proved the speed of light to be independent of the observer as well.

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The Substance

The consistency of substance arises as a result of repetitive motion. Therefore, we may postulate,

The consistency of substance is proportional to its repetitive motion.

The constant of proportionality will be a universal constant.

Let us assume the motion of an object to be represented by its speed.

We observe that the speed of matter is negligible compared to the speed of light, whereas, the consistency of light is negligible compared to the consistency of matter.

Therefore, mathematically, the speed of substance is inversely proportional to its consistency. In other words, the ratio of two different consistencies should be inverse of the ratio of corresponding speeds.

Let us assume the ratio of the speed of light to the speed of matter to be of the order of the speed of light, which is 3 x 108.

We will then expect the ratio of consistency of matter to the consistency of light to be of the same order of magnitude,

We have related the consistency of substance to its frequency: See The Spectrum of Substance.

Let us assume the consistency of matter to be close to the consistency of neutron, which is 277.6 .

Let us take the consistency of light to be the average value of 249.

The desired ratio is 277.6 / 249 = 228.6 = 4 x 108

This is of the same order of magnitude as the approximate ratio of the speeds of light and matter. This value is higher because the consistency of neutron is slightly higher than the average consistency of matter. Therefore, it is quite possible that the consistency and motion of substance are inversely proportional to each other.

This may be interpreted as follows:

Motion of 1 cycle within the light particle is equivalent to motion of the order of 108 cycles in the neutron.

At the moment, this is merely a hypothesis. It needs to be examined more rigorously.

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Speed and Consistency

The above postulate has many possible consequences:

  1. Every physical object has a natural speed in free space that depends on its consistency (mass).
  2. When an object is accelerated from its natural speed with the application of an external force, its consistency decreases by an infinitesimal amount.
  3. When the external force is removed, the acceleration of the object returns to zero. If the object now continues to move at the higher speed, its consistency also stays at the infinitesimally lower value.
  4. If the consistency of the object returns to its original value, then its natural velocity shall also return to its original value.

The above anticipates the Higgs Mechanism.

Furthermore,

  1. A physical object can never be accelerated to the speed of light without reducing its mass to consistency of light.

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Spacetime and Geometry

Spacetime

  1. Motion becomes “Spacetime” when cycles are introduced.
  2. Introduction of a cycle = emergence of space and time
  3. It means that space and time form the dimensions of cyclical motion.
  4. Motion when repeated gains consistency and appears as substance.
  5. The consistency of substance provides a measure of inertia.
  6. Space becomes the extents, and time becomes the duration of substance
  7. “Location” may be defined as the extents and duration of substance.

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Geometry

  1. The geometrical points in space actually represent discrete atoms in a field of gravity.
  2. The points or atoms form the discrete foreground.
  3. The space or the field of gravity form the continuous background. 
  4. The atom become more centered as its mass increases. The geometrical point doesn’t capture this.
  5. The field of gravity has many gradients. The geometrical space doesn’t capture this.

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