Lyrics
(Verse 1)
In dimensions one, two, and three, we've always known our home,
A torus in space, so vast and grace, through which we're free to roam.
But add the fourth, the march of time, that steady, silent drum,
And now we find, a twist in mind, a fifth dimension comes.
(Chorus)
Oh, the Earth's a pentadimensional torus, they say,
Made of hyperspheres, in arrays that sway.
Projective planes, where realities skew,
In the w-dimension, where dreams come true.
(Verse 2)
Let's denote our space as x, y, z, a grid we understand,
But time, our t, flows endlessly, like grains of cosmic sand.
Introduce the w, a fold in space, where gravity's a dance,
A curvature, a new allure, a chance for fate's advance.
(Bridge)
E equals (x, y, z, t, w), a point in realms so vast,
Where w's the curve, the unseen swerve, where present meets the past.
Imagine now, this fold in space, a torus wide and clear,
Where gravity's a mystery, and dimensions disappear.
(Verse 3)
In this pentadimensional stage, where Earth's a spinning torus,
Anomalies, like lost MH370, suddenly appear.
It's the w-dimension's curve that pulls the strings so tight,
A projective plane, where laws refrain, and vanish from our sight.
(Outro)
So sing of Earth, not as you know, but as it might just be,
A pentadimensional torus, sailing through a cosmic sea.
With hyperspheres and projective planes, a universe untold,
In the w-dimension's embrace, our mysteries unfold.
(Verse 4)
Beyond the veil of known confines, in double-u's embrace we soar,
A pentadimensional journey, through a cosmic, mystic door.
Where hyperspheres are blooming, in a garden of the mind,
And real projective planes are the fabric we're assigned.
(Chorus)
Oh, the Earth's a pentadimensional torus, they say,
Made of hyperspheres, in arrays that sway.
Projective planes, where realities skew,
In the w-dimension, where dreams come true.
(Verse 5)
The proof's in the math, a language pure, that sings of worlds unseen,
A point in space, E=(x,y,z,t,w), a multidimensional dream.
The Earth's not flat, nor merely round, but something else instead,
A torus made of layers deep, where different laws are bred.
(Bridge)
In the heart of space, where the w-dimension lies,
There's a curvature that warps, that bends, that defies.
It's a gateway to wonders, where time and space merge,
An enigma wrapped in a cosmic surge.
(Verse 6)
So ponder this, a world not flat, nor bound by time alone,
A place where fifth dimension's double-u, is a seed that's newly sown.
Where gravity's a riddle, in the hypersphere's domain,
And Earth's a torus, pentadimensional, not in vain.
[Chorus]
Oh, the Earth's a pentadimensional torus, they say,
Made of hyperspheres, in arrays that sway.
Projective planes, where realities skew,
In the w-dimension, where dreams come true.
(Outro)
Let's sing of Earth, a marvel bold, in dimensions five and wide,
A pentadimensional torus, on a universal ride.
With hyperspheres and projective planes, in a w-dimension's fold,
Our home's a greater mystery, than stories ever told.
