In physics and mathematics, the dimension of a space or object is informally defined as the minimum number of coordinates needed to specify any point within it. Thus a line has a dimension of one because only one coordinate is needed to specify a point on it (for example, the point at 5 on a number line). A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it (for example, to locate a point on the surface of a sphere you need both its latitude and its longitude). The inside of a cube, a cylinder or a sphere is three-dimensional because three co-ordinates are needed to locate a point within these spaces.
In physical terms, dimension refers to the constituent structure of all space (cf. volume) and its position in time (perceived as a scalar dimension along the t-axis), as well as the spatial constitution of objects within – structures that have correlations with both particle and field conceptions, interact according to relative properties of mass, and which are fundamentally mathematical in description. These or other axes may be referenced to uniquely identify a point or structure in its attitude and relationship to other objects and occurrences. Physical theories that incorporate time, such as general relativity, are said to work in 4-dimensional "spacetime", (defined as a Minkowski space). Modern theories tend to be "higher-dimensional" including quantum field and string theories. The state-space of quantum mechanics is an infinite-dimensional function space.
Michio Kaku (加来 道雄, Kaku Michio?, born January 24, 1947) is an American theoretical physicist, the Henry Semat Professor of Theoretical Physics in the City College of New York of City University of New York, a co-founder of string field theory, a futurist, and a "communicator" and "popularizer" of science. He has written several books about physics and related topics; he has made frequent appearances on radio, television, and film; and he writes extensive online blogs and articles. He has written two New York Times best sellers, Physics of the Impossible (2008) and Physics of the Future (2011). He has hosted several TV specials for BBC-TV, the Discovery Channel, and the Science Channel.
Kaku was born in San Jose, California to Japanese immigrant parents. His grandfather came to the United States to take part in the clean-up operation after the 1906 San Francisco Earthquake[citation needed]. His father was born in California but was educated in Japan and spoke little English. Both his parents were put in the Tule Lake War Relocation Center, where they met and where his two brothers were born.
Hindsight, don't make it right, she givin' me trouble enough
And she's a ball of light
I'm in the tunnel of love with the American dream
And I'm born too soon
A little good luck, never stuck
She got me climbing the walls, got me hard as a rock
Within a city of sin, she got a city block
And she was barkin' at the moon
She likes to show
So many sides to her and I'd be the one to know
When am I gonna go to your dimension?
When am I gonna go to where you are?
When am I gonna go to your dimension?
Dimensions of each other keep us goin' strong
Black knight take a bite, she can double it up
And she's a way of life
Whether dead or alive, she got a fix on me
And I was dancin' in the fire
A little white steam, never seen in every muscle and bone
She was a love machine
She could wrestle me down and get a taste of me
In her web of desire
She changed my world
How can the body know whether it's touchin' me or her?
When am I gonna go to your dimension?
When am I gonna go to where?
When am I gonna go to where you are?
When am I gonna go to your dimension?
Dimensions of each other keep us goin' strong
When am I gonna go to your dimension?
When am I gonna go to where?
When am I gonna go to where you are?
When am I gonna go to your dimension?
Dimensions of each other keep us goin' strong
When am I gonna go to your dimension?
When am I gonna go to where
When am I gonna go to where you are?
When am I gonna go to your dimension?
Dimensions of each other keep us goin' strong
When am I gonna go to your dimension?
When am I gonna go to where?
When am I gonna go to where you are?
When am I gonna go to your dimension?
Dimensions of each other keep us goin' strong
Hindsight, don't make it right
She give me trouble enough
And she's a ball of light
I'm in the tunnel of love
With the American dream
And I was born too soon
A little good luck, never stuck
She got me climbing the walls
Got me hard as a rock
Within a city of sin, she got a city block
And she was barkin' at the moon
She likes to show
So many sides to her
And I'd be the one to know
(CHORUS)
When am I gonna go to your dimension
When am I gonna go to where you are
When am I gonna go to your dimension
Dimensions of each other keep us goin' strongBlack knight, take a bite
She can double it up
And she's a way of life
And whether dead or alive
She got a fix on me
And I was dancin' in the fire
White steam, never seen
In every muscle and bone
She was a love machine
And she could wrestle me down
And get a taste of me
In her web of desire
She changed my world
How can the body know
It's touchin' me or her
(CHORUS)
Where do we go from here?
Where is our home, our destiny?
When do we learn to see?
When do we learn to understand?
Give me a reason to believe - Is this a tale I should
believe?
This is a tale of mystery - Is this the tale I should
believe? - Dimensions
Dimensions
Castaway eternally
Dimensions
Dimensions
Hear the call and follow us to Heaven
To Heaven
What do we find out there?
Is it Heaven or is it Hell?
Where will our journey end?
Beyond the gates of space and time?
Is this a story made of dreams? - Is this a tale I
should believe?
Is this all real or fantasy? - Is this a tale I should
believe? - Dimensions
Dimensions
Castaway eternally
Dimensions
Dimensions
Hear the call and follow us to Heaven
To Heaven
To Heaven - Dimensions
Dimensions
Dimensions
Castaway eternally
Dimensions
Dimensions
Fear the call, don't follow us
'Cause Heaven - Heaven - Heaven
[I. FRONTIERS]
Pounding rhythms announce a borderline to pass.
Arctic chill embraces me under African skies.
Now all is one, grand transition starts slowly,
Life leaks away...
There's a certain passage I must run through all alone.
Static yet kinetic this projection lasts and widens constantly
Feeling alone...
Closer to the boundaries inertia thrill's my sleep
Somehow I must enter in scenes beyond compare.
I know I will...
[II. PROJECTIONS]
Adrift at sea on my way to Avalon
Tangled in moments surreal beneath the bridge of sighs
Emptiness takes hold...
Inhibitions and stifled fears emerge from the abyss of childhood,
My soul starts movind 'til it flies.
I retrace the years back and I sense compulsions disintergrate,
Barricades once built tumble down, eventually.
Projections - pictures of somewhere I'd been
Coloured reflections...
[III. THE GRAINS OF SAND]
Even though new horizons are reached questions remain,
Subconscicous landscapes left behind.
There's the permanent hope that the sand in my hands
Recites details of moments passed away.
And the grains of sand slip through my fingers
Saddened have I become
The children will suffer
Unknowingly dragged under
Into a clever guise
The darkness has overtaken
A crack in dimension
Slipping through
Approaching within the years
Accepting and denying
Truly the worthless foe
Our eyes long ago... blinded
No, this cannot be
O' we are not ready
A warning never heard