The idea of a
fourth dimension has been a factor in the evolution of modern art, but use of concepts relating to higher dimensions has been little discussed by academics in the literary world. From the late 19th century onwards, many writers began to make use of possibilities opened up by the exploration of such concepts as
hypercube geometry. Some writers took the fourth dimension to be one of time, which is consistent with the physical principle that space and time are fused into a single continuum known as
spacetime
In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams are useful in visualiz ...
. Others preferred to think of the fourth dimension in spatial terms, and some associated the new mathematics with wider changes in modern culture.
In
science fiction
Science fiction (often shortened to sci-fi or abbreviated SF) is a genre of speculative fiction that deals with imaginative and futuristic concepts. These concepts may include information technology and robotics, biological manipulations, space ...
, a higher "dimension" often refers to
parallel or alternate universes or other imagined planes of existence. This usage is derived from the idea that to travel to parallel/alternate universes/planes of existence one must travel in a direction/dimension besides the standard ones. In effect, the other universes/planes are just a small distance away from our own, but the distance is in a fourth (or higher) spatial (or non-spatial) dimension, not the standard ones. Fifth and higher dimensions are used in the same way; for example; the
Superman
Superman is a superhero created by writer Jerry Siegel and artist Joe Shuster, which first appeared in the comic book ''Action Comics'' Action Comics 1, #1, published in the United States on April 18, 1938.The copyright date of ''Action Comics ...
foe
Mister Mxyzptlk comes from the fifth dimension.
Early influence
Edgar Allan Poe
Edgar Allan Poe (; January 19, 1809 – October 7, 1849) was an American writer, poet, editor, and literary critic who is best known for his poetry and short stories, particularly his tales involving mystery and the macabre. He is widely re ...
wrote an essay on cosmology titled ''
Eureka'' (1848) which said that "space and duration are one". This is the first known instance of suggesting space and time to be different perceptions of one thing. Poe arrived at this conclusion after approximately 90 pages of reasoning but employed no
mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
.
Theoretical physicist
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict natural phenomena. This is in contrast to experimental physics, which uses experi ...
James Clerk Maxwell
James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish physicist and mathematician who was responsible for the classical theory of electromagnetic radiation, which was the first theory to describe electricity, magnetism an ...
is best known for his work in formulating the equations of
electromagnetism
In physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields. The electromagnetic force is one of the four fundamental forces of nature. It is the dominant force in the interacti ...
. He was also a prize-winning poet,
and in his last poem ''Paradoxical Ode''; Maxwell muses on connections between science, religion and nature, touching upon higher-dimensions along the way:
In ''
The Brothers Karamazov'',
Dostoevsky's last work completed in 1880, the fourth dimension is used to signify that which is ungraspable to someone with earthly (or three-dimensional) concerns. In the book, Ivan Karamazov laments to his younger brother:
In the 1884
satirical
Satire is a genre of the visual arts, visual, literature, literary, and performing arts, usually in the form of fiction and less frequently Nonfiction, non-fiction, in which vices, follies, abuses, and shortcomings are held up to ridicule, ...
novella
A novella is a narrative prose fiction whose length is shorter than most novels, but longer than most novelettes and short stories. The English word ''novella'' derives from the Italian meaning a short story related to true (or apparently so) ...
''
Flatland'' by
Edwin Abbott Abbott
Edwin Abbott Abbott (20 December 1838 – 12 October 1926) was an English schoolmaster, theology, theologian, and Anglican priest, best known as the author of the novella ''Flatland'' (1884).
Early life and education
Edwin Abbott Abbott ...
, the two-dimensional protagonist (a square) is introduced to the concept of the third-dimension by his mentor (a sphere). After initially struggling with the idea, the square starts to speculate upon yet higher dimensions. After envisioning a
tesseract
In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six ...
, the square asks:
Oscar Wilde
Oscar Fingal O'Fflahertie Wills Wilde (16 October 185430 November 1900) was an Irish author, poet, and playwright. After writing in different literary styles throughout the 1880s, he became one of the most popular and influential playwright ...
's ''
The Canterville Ghost (A Hylo-Idealistic Romance)'' published in 1887 was Wilde's parody of a "haunted-house" story. The tale uses the higher spatial dimension as a handy plot device allowing a magical exit for the ghost:
H. G. Wells
Herbert George Wells (21 September 1866 – 13 August 1946) was an English writer, prolific in many genres. He wrote more than fifty novels and dozens of short stories. His non-fiction output included works of social commentary, politics, hist ...
famously employed the concept of a higher temporal dimension in his 1895 book ''
The Time Machine
''The Time Machine'' is an 1895 dystopian post-apocalyptic science fiction novella by H. G. Wells about a Victorian scientist known as the Time Traveller who travels to the year 802,701. The work is generally credited with the popularizati ...
''. Wells had already covered the subject seven years previously in his tale of ''
The Chronic Argonauts''. In this 1888
short story
A short story is a piece of prose fiction. It can typically be read in a single sitting and focuses on a self-contained incident or series of linked incidents, with the intent of evoking a single effect or mood. The short story is one of the old ...
, inventor Dr. Nebogipfel asks the Reverend Cook:
In Wells’ 1895 short story ''The Remarkable Case of Davidson's Eyes'', the main character sees visions of a ship – only to find out later that the ship in question was on the opposite side of the globe at the time. A doctor tries to explain how this might have happened through higher dimensions, though the narrator struggles with the concept.
Joseph Conrad and
Ford Madox Ford
Ford Madox Ford (né Joseph Leopold Ford Hermann Madox Hueffer ( ); 17 December 1873 – 26 June 1939) was an English novelist, poet, critic and editor whose journals ''The English Review'' and ''The Transatlantic Review (1924), The Transatlant ...
's 1901 work ''
The Inheritors: An Extravagant Story'' uses the "fourth dimension" as a metaphor to explain a shift in society away from traditional values towards modern expediency and callous use of political power. The "inheritors" are a breed of
materialists, who call themselves "Fourth Dimensionists", tasked with occupying the earth. The narrator tells how,
In the first volume of ''
In Search of Lost Time
''In Search of Lost Time'' (), first translated into English as ''Remembrance of Things Past'', and sometimes referred to in French as ''La Recherche'' (''The Search''), is a novel in seven volumes by French author Marcel Proust. This early twen ...
'' (or ''Remembrance of Things Past'') published in 1913,
Marcel Proust envisioned the extra dimension as a temporal one. The narrator describes a church at Combray being
Artist
Max Weber
Maximilian Carl Emil Weber (; ; 21 April 186414 June 1920) was a German Sociology, sociologist, historian, jurist, and political economy, political economist who was one of the central figures in the development of sociology and the social sc ...
's ''Cubist Poems'', is a collection of prose first published in 1914.
Poet
Ezra Pound
Ezra Weston Loomis Pound (30 October 1885 – 1 November 1972) was an List of poets from the United States, American poet and critic, a major figure in the early modernist poetry movement, and a Collaboration with Nazi Germany and Fascist Ita ...
finishes his 1937 ''Canto 49'' (often known as ''"the Seven Lakes"'') with these lines:
Other works
Science fiction
Science fiction (often shortened to sci-fi or abbreviated SF) is a genre of speculative fiction that deals with imaginative and futuristic concepts. These concepts may include information technology and robotics, biological manipulations, space ...
author
Robert A. Heinlein used ideas derived from multi-dimensional geometry in some of his stories.
"—And He Built a Crooked House—" was first published in
''Astounding Science Fiction'' magazine in February 1941. In the story, a recently graduated architect constructs an eight-room home for his friend based on an "unfolded
tesseract
In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six ...
". An earthquake collapses or "folds" the structure, leading to all eight rooms being contained within just one. The stairs appear to form a closed loop, and there seems to be no way of leaving, as all the doors and even the windows lead directly into other rooms. Heinlein's 1963
fantasy novel
Fantasy literature is literature set in an imaginary universe, often but not always without any locations, events, or people from the real world. magic (paranormal), Magic, the supernatural and Legendary creature, magical creatures are common i ...
''
Glory Road'' (originally serialized in ''
The Magazine of Fantasy & Science Fiction
''The Magazine of Fantasy & Science Fiction'' (usually referred to as ''F&SF'') is a U.S. fantasy fiction magazine, fantasy and science-fiction magazine, first published in 1949 by Mystery House, a subsidiary of Lawrence E. Spivak, Lawrence Spiv ...
'') features a device called a ''fold box'' which is bigger on the inside than the outside. In his 1980 novel ''
The Number of the Beast'', a "continua device" formulated using "theories on n-dimensional non-euclidean geometry" gives the protagonists the ability to
time-travel and to visit
fictional universe
A fictional universe, also known as an imagined universe or a constructed universe, is the internally consistent fictional setting used in a narrative or a work of art. This concept is most commonly associated with works of fantasy and scie ...
s.
Arthur C. Clarke published the 1950 short story "
Technical Error", which explored the effects on a man after he had been rotated in the fourth dimension.
In her 1957 novel ''The Strange World of Planet X'' – adapted from her own screenplay for an earlier 6-part British television series – author Rene Ray tells the story of a pair of scientists whose experiments with magnetic fields open what seems to be a pathway into a fourth dimension. One of the two researchers is driven by a lust for power and recognition to proceed without caution, while his colleague becomes increasingly alarmed at the forces with which they may be tampering – with the wife of the former caught between them – and this conflict and the dangers entailed in their experiments make up the major part of the story.
Published in 1962,
Madeleine L'Engle's award-winning
''
A Wrinkle in Time
''A Wrinkle in Time'' is a young adult science fantasy novel written by American author Madeleine L'Engle. First published in 1962, the book won the Newbery Medal, the Sequoyah Book Award and the Lewis Carroll Shelf Award, and was runner-u ...
'' revolves around a girl called Meg whose scientist father disappears after working on a mysterious project. In a chapter entitled "The Tesseract", Mrs Whatsit and Mrs Who (both immortals) use the analogy of small insect making a long journey across a length of material in order to explain instantaneous travel across the universe: "Swiftly Mrs Who brought her hands, still holding the skirt, together. 'Now you see.. ..he would ''be'' there.. ..that is how we travel.'"
Meg declares herself to be a "moron" for not understanding the concept (known in the book as "tessering"). Luckily, her
telepathic
Telepathy () is the purported vicarious transmission of information from one person's mind to another's without using any known human sensory channels or physical interaction. The term was first coined in 1882 by the classical scholar Frederic ...
younger brother clarifies the matter, by telling Meg that the fourth dimension of time and the fifth of the tesseract combine, enabling
Euclidean geometry
Euclidean geometry is a mathematical system attributed to ancient Greek mathematics, Greek mathematician Euclid, which he described in his textbook on geometry, ''Euclid's Elements, Elements''. Euclid's approach consists in assuming a small set ...
-contravening short-cuts to be taken through space.
In
Kurt Vonnegut
Kurt Vonnegut ( ; November 11, 1922 – April 11, 2007) was an American author known for his Satire, satirical and darkly humorous novels. His published work includes fourteen novels, three short-story collections, five plays, and five nonfict ...
's 1969 work ''
Slaughterhouse-Five
''Slaughterhouse-Five, or, The Children's Crusade: A Duty-Dance with Death'' is a 1969 semi-autobiographic science fiction-infused anti-war novel by Kurt Vonnegut. It follows the life experiences of Billy Pilgrim, from his early years, to his ...
'', recurring character
Kilgore Trout
Kilgore Trout is a fictional character created by author Kurt Vonnegut (1922–2007). Trout is a notably unsuccessful author of paperback science fiction novels.
"Trout" was inspired by the name of the author Theodore Sturgeon (1918–1985), Vo ...
writes a book called ''Maniacs in the Fourth Dimension'' which relates how "three-dimensional Earthling doctors" were unable to cure people with mental diseases, "as the causes.. ..were all in the fourth dimension."
Trout also explains how "..vampires and werewolves and goblins and angels" reside in this alternative plane, alongside poet
William Blake
William Blake (28 November 1757 – 12 August 1827) was an English poet, painter, and printmaker. Largely unrecognised during his life, Blake has become a seminal figure in the history of the Romantic poetry, poetry and visual art of the Roma ...
.
The book ''Surfing through Hyperspace'' by
Clifford A. Pickover specifically deals with fourth spatial dimensional creatures and contains a story involving two FBI agents musing over the implications of such beings existing.
''
Death's End'', the 2010 final novel in
Liu Cixin's
Remembrance of Earth's Past trilogy, begins with an introduction in which a woman gains the ability to reach inside closed spaces and remove the contents during the
Fall of Constantinople
The Fall of Constantinople, also known as the Conquest of Constantinople, was the capture of Constantinople, the capital of the Byzantine Empire by the Ottoman Empire. The city was captured on 29 May 1453 as part of the culmination of a 55-da ...
. Later in the novel, two interstellar ships enter a four-dimensional fragment of space. While within this fragment, the crew of the ships can enter the fourth dimension. From the fourth dimension, they can see the interior and all sides of any 3D object, much like how humans can see every aspect of a 2D shape from the third dimension.
The 2019 novel ''The Last Reincarnation of Steven Kinder'' by Bernard K. Finnigan, and its subsequent 2021 sequel "The Human Sliver" deals with the fourth dimension as a series of parallel Earths, accessible to certain humans with an extra-dimensional sense. The extra spatial dimension is used as a hiding place for aliens preying on 3D humans, and for physics applications when battling 4D creatures immune to conventional human weapons.
In film and television
Aside from Hyperspace as a plot device for faster than light space travel, there are only a few examples of film or television productions that have explored the possible consequences of human access to a fourth dimension.
*In the 1959 science fiction film
4D Man a scientist accessed the fourth dimension and gained the ability to move through solid objects at will, and to drain the future life out of other people.
*In "
The Borderland", a 1963 episode of the original television series ''
The Outer Limits'', an accidental four-dimensional rotation of a human hand heralded the beginning of an attempt by a scientific team to enter the fourth dimension.
See also
*
*''
Flatland''
*
Tesseract
In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six ...
*
Science fiction
Science fiction (often shortened to sci-fi or abbreviated SF) is a genre of speculative fiction that deals with imaginative and futuristic concepts. These concepts may include information technology and robotics, biological manipulations, space ...
*
Fourth dimension in art
*
List of four-dimensional games
*
Non-Euclidean geometry
References
Further reading
*
External links
*
''Flatland, a Romance of Many Dimensions (second edition)'' on Wikisource
A full e-text of ''The Chronic Argonauts'' ''(H.G.Wells)''*
{{Modernism
Modernism
Dimension