Wednesday, March 16, 2011

Extra On Discreteness

A man walks into a room. A second man walks into the room. Finally, a third man

              
walks into the room. There are three people in the room now. Could half of the people

in the room leave? Obviously not! Could a half person come in or leave the room?

Think about it. Certainly not. People can only come in increments of single people, or

multiples of that. (Two people could enter a room at the same time.) Even if someone

was missing an appendage, a person coming into the room or leaving it is a single person

and not a fraction of one. If a person’s body part came into the room, this would not be a

fraction of a person, since it would not be alive then.

What I just described above is the concept of discreteness. Certain things may only come

in quantities that have a specific number of certain particles. These particles, for the

context, may only come as sets of these entities, and not as fractions of themselves. For

instance, a photon is the smallest increment of light. It has a phase energy of hbar. Any

energy that you see as motion or of the electromagnetic energy is built up of increments

of hbar. ”h” is the actual energy as taken for a whole wavelength of itself, yet one phase

shift of this energy – being one radian – has the most discrete form of it,

being h/2pi = hbar. This is the energy phase difference between a photon traveling an

arc equal to the unit radius. Anything the size of a photon or larger comes in energy

units composed of discrete bundles whose phase size is the size of hbar or an increment

thereof. You can’t have a phase of energy that is 1.2hbar or 2.5hbar. But you could have

a phase of energy of 2hbar or 3hbar.

An electron spins, and it orbits its general neighborhood, and, as you will see, it

has angular momentum. It has a fractional spin-orbital interaction, and its angular

momentum is a whole number (1, for instance). It’s spin-orbital/angular momentum

mode equals its spin-orbital interaction plus its angular momentum. This would be

sometimes 1.5, 2.5, 3.5, for example. This shows a very limited solution variety.

In viewing a string as often smaller than a photon, one must consider a level of discrete

that makes up phenomena used to form the strings themselves. By measuring the

behavior of phenomena as can be extrapolated down to the stringular level, one may

understand spin-orbital and angular momentum modes that can accurately predict the

behavior of multiple sets of strings. Since strings are a membranous form of phenomena

around the Planck length, such behavior should eventually be monitored.

Patterns + Familiarity.

A man walks into a room. A second man walks into the room. Finally, a third man

walks into the room. There are three people in the room now. Could half of the people

in the room leave? Obviously not! Could a half person come in or leave the room?

Think about it. Certainly not. People can only come in increments of single people, or

multiples of that. (Two people could enter a room at the same time.) Even if someone

was missing an appendage, a person coming into the room or leaving it is a single person

and not a fraction of one. If a person’s body part came into the room, this would not be a

fraction of a person, since it would not be alive then.

What I just described above is the concept of discreteness. Certain things may only come

in quantities that have a specific number of certain particles. These particles, for the

context, may only come as sets of these entities, and not as fractions of themselves. For

instance, a photon is the smallest increment of light. It has a phase energy of hbar. Any

energy that you see as motion or of the electromagnetic energy is built up of increments



of hbar. ”h” is the actual energy as taken for a whole wavelength of itself, yet one phase

shift of this energy – being one radian – has the most discrete form of it,

being h/2pi = hbar. This is the energy phase difference between a photon traveling an

arc equal to the unit radius. Anything the size of a photon or larger comes in energy

units composed of discrete bundles whose phase size is the size of hbar or an increment

thereof. You can’t have a phase of energy that is 1.2hbar or 2.5hbar. But you could have

a phase of energy of 2hbar or 3hbar.

An electron spins, and it orbits its general neighborhood, and, as you will see, it

has angular momentum. It has a fractional spin-orbital interaction, and its angular

momentum is a whole number (1, for instance). It’s spin-orbital/angular momentum

mode equals its spin-orbital interaction plus its angular momentum. This would be

sometimes 1.5, 2.5, 3.5, for example. This shows a very limited solution variety.

In viewing a string as often smaller than a photon, one must consider a level of discrete

that makes up phenomena used to form the strings themselves. By measuring the

behavior of phenomena as can be extrapolated down to the stringular level, one may

understand spin-orbital and angular momentum modes that can accurately predict the

behavior of multiple sets of strings. Since strings are a membranous form of phenomena

around the Planck length, such behavior should eventually be monitored.

Patterns + Familiarity.

A man walks into a room. A second man walks into the room. Finally, a third man

walks into the room. There are three people in the room now. Could half of the people

in the room leave? Obviously not! Could a half person come in or leave the room?

Think about it. Certainly not. People can only come in increments of single people, or

multiples of that. (Two people could enter a room at the same time.) Even if someone

was missing an appendage, a person coming into the room or leaving it is a single person

and not a fraction of one. If a person’s body part came into the room, this would not be a

fraction of a person, since it would not be alive then.

What I just described above is the concept of discreteness. Certain things may only come

in quantities that have a specific number of certain particles. These particles, for the

context, may only come as sets of these entities, and not as fractions of themselves. For

instance, a photon is the smallest increment of light. It has a phase energy of hbar. Any

energy that you see as motion or of the electromagnetic energy is built up of increments

of hbar. ”h” is the actual energy as taken for a whole wavelength of itself, yet one phase

shift of this energy – being one radian – has the most discrete form of it,

being h/2pi = hbar. This is the energy phase difference between a photon traveling an

arc equal to the unit radius. Anything the size of a photon or larger comes in energy

units composed of discrete bundles whose phase size is the size of hbar or an increment

thereof. You can’t have a phase of energy that is 1.2hbar or 2.5hbar. But you could have

a phase of energy of 2hbar or 3hbar.

An electron spins, and it orbits its general neighborhood, and, as you will see, it

has angular momentum. It has a fractional spin-orbital interaction, and its angular

momentum is a whole number (1, for instance). It’s spin-orbital/angular momentum

mode equals its spin-orbital interaction plus its angular momentum. This would be

sometimes 1.5, 2.5, 3.5, for example. This shows a very limited solution variety.

In viewing a string as often smaller than a photon, one must consider a level of discrete

that makes up phenomena used to form the strings themselves. By measuring the



behavior of phenomena as can be extrapolated down to the stringular level, one may

understand spin-orbital and angular momentum modes that can accurately predict the

behavior of multiple sets of strings. Since strings are a membranous form of phenomena

around the Planck length, such behavior should eventually be monitored.

Patterns + Familiarity.                                                                                                         

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