Space

In this episode of the I Can’t Sleep Podcast, I read to you about the wonders of space. Well, it can't be that wonderful since I fell asleep while editing this episode. I'm sure it's bound to do the same for you. Happy listening!

Transcript

Welcome to the I Can't Sleep podcast,

Where I read random articles from across the web to bore you to sleep with my soothing voice.

I'm your host,

Benjamin Bostor.

Space is the boundless three-dimensional extant in which objects and events have relative position and direction.

Physical space is often conceived in three linear dimensions,

Although modern physicists usually consider it with time,

To be part of a boundless four-dimensional continuum known as space-time.

The concept of space is considered to be of fundamental importance to an understanding of the physical universe.

However,

Disagreement continues between philosophers over whether it is itself an entity,

A relationship between entities,

Or part of a conceptual framework.

Debates concerning the nature,

Essence,

And the mode of existence of space date back to antiquity,

Namely to treatises like the Timaeus of Plato or Socrates and his reflections on what the Greeks called Korah,

I.

E.

Space,

Or in the physics of Aristotle,

Book 4 Delta,

In the definition of Topos,

I.

E.

Place,

Or in the geometrical conception of place as space qua extension in the discourse on place,

Cal fi al-Makkan,

Of the 11th century Arab polymath Alhazen.

Many of these classical philosophical questions were discussed in the Renaissance and then reformulated in the 17th century,

Particularly during the early development of classical mechanics.

In Isaac Newton's view,

Space was absolute,

In the sense that it existed permanently and independently of whether there was any matter in the space.

Other natural philosophers,

Notably Gottfried Leibniz,

Thought instead that space was in fact a collection of relations between objects,

Given by their distance and direction from one another.

In the 18th century,

The philosopher and theologian George Berkeley attempted to refute the visibility of spatial depth in his essay towards a new theory of vision.

Later,

The metaphysical Immanuel Kant said that the concepts of space and time are not empirical ones derived from experiences of the outside world.

They are elements of an already given systematic framework that humans possess and use to structure all experiences.

Kant referred to the experience of space in his Critique of Pure Reason as being a subjective,

Pure,

A priori form of intuition.

In the 19th and 20th centuries,

Mathematicians began to examine geometries that are non-Euclidean,

In which space is conceived as curved rather than flat.

According to Albert Einstein's theory of general relativity,

Space around gravitational fields deviates from Euclidean space.

Several tests of general relativity have confirmed that non-Euclidean geometries provide a better model for the shape of space.

Philosophy of Space.

Galilei.

Galilean and Cartesian theories about space,

Matter,

And motion are at the foundation of the Scientific Revolution,

Which is understood to have culminated with the publication of Newton's Principia in 1687.

Newton's theories about space and time helped him explain the movement of objects.

While his theory of space is considered the most influential in physics,

It emerged from his predecessor's ideas about the same.

As one of the pioneers of modern science,

Galilei revised the established Aristotelian and Ptolemaic ideas about a geocentric cosmos.

He backed the Copernican theory that the universe was heliocentric,

With a stationary sun at the center and the planets,

Including the Earth,

Revolving around the sun.

If the Earth moved,

The Aristotelian belief that its natural tendency was to remain at rest was in question.

Galilei wanted to prove instead that the sun moved around its axis,

That motion was as natural to an object as the state of rest.

In other words,

For Galilei,

Celestial bodies,

Including the Earth,

Were naturally inclined to move in circles.

This view displaced another Aristotelian idea,

That all objects gravitated towards their designated natural place of belonging.

René Descartes Descartes set out to replace the Aristotelian worldview with a theory about space and motion,

As determined by natural laws.

In other words,

He sought a metaphysical foundation,

Or a mechanical explanation for his theories about matter and motion.

Cartesian space was Euclidean in structure,

Infinite,

Uniform,

And flat.

It was defined as that which contained matter.

Conversely,

Matter by definition had a spatial extension,

So that there was no such thing as empty space.

The Cartesian notion of space is closely linked to his theories about the nature of the body,

Mind,

And matter.

He is famously known for his cogito ergo sum,

I think,

Therefore I am,

Or the idea that we can only be certain of the fact that we can doubt,

And therefore think,

And therefore exist.

His theories belong to the rationalist tradition,

Which attributes knowledge about the world to our ability to think,

Rather than to our experiences,

As the empiricists believe.

He posited a clear distinction between the body and mind,

Which is referred to as the Cartesian dualism.

Leibniz and Newton Following Galilei and Descartes during the seventeenth century,

The philosophy of space and time revolved around the ideas of Gottfried Leibniz,

A German philosopher,

Mathematician,

And Isaac Newton,

Who set out two opposing theories of what space is.

Rather than being an entity that independently exists over and above other matter,

Leibniz held that space is no more than the collection of spatial relations between objects in the world.

Space is that which results from places taken together.

Unoccupied regions are those that could have objects in them,

And thus spatial relations with other places.

For Leibniz,

Then,

Space was an idealized abstraction from the relations between individual entities or their possible locations,

And therefore could not be continuous,

But must be discrete.

Space could be thought of in a similar way to the relations between family members.

Although people in the family are related to one another,

Their relations do not exist independently of the people.

Leibniz argued that space could not exist independently of objects in the world,

Because that implies a difference between two universes exactly alike,

Except for the location of the material world in each universe.

But since there would be no observational way of telling these universes apart,

Then,

According to the identity of indiscernible,

There would be no real difference between them.

According to the principle of sufficient reason,

Any theory of space that implied that there could be these two possible universes must therefore be wrong.

Newton took space to be more than relations between material objects,

And based his position on observation and experimentation.

For a relationist,

There can be no real difference between inertial motion,

In which the object travels with constant velocity,

And non-inertial motion,

In which the velocity changes with time since all spatial measurements are relative to other objects and their motions.

But Newton argued that since non-inertial motion generates forces,

It must be absolute.

He used the example of water in a spinning bucket to demonstrate his argument.

Water in a bucket is hung from a rope and set to spin,

Starts with a flat surface.

After a while,

As the bucket continues to spin,

The surface of the water becomes concave.

If the bucket's spinning is stopped,

Then the surface of the water remains concave as it continues to spin.

The concave surface is therefore apparently not the result of relative motion between the bucket and the water.

Instead,

Newton argued,

It must be a result of non-inertial motion relative to space itself.

For several centuries,

The bucket argument was considered decisive in showing that space must exist independently of matter.

Kant In the 18th century,

The German philosopher Immanuel Kant developed a theory of knowledge,

In which knowledge about space can both be a priori and synthetic.

According to Kant,

Knowledge about space is synthetic,

In that statements about space are not simply true by virtue of the meaning of the words in the statement.

In his work,

Kant rejected the view that space must be either a substance or relation.

Instead,

He came to the conclusion that space and time are not discovered by humans to be objective features of the world,

But imposed by us as part of a framework for organizing experience.

Non-Euclidean Geometry Euclid's elements contained five postulates that form the basis for Euclidean geometry.

One of these,

The parallel postulate,

Has been the subject of debate among mathematicians for many centuries.

It states that on any plane in which there is a straight line,

L1,

And a point P not on L1,

There is exactly one straight line,

L2,

On the plane that passes through the point P,

And is parallel to the straight line,

L1.

Until the 19th century,

Few doubted the truths of the postulate.

Instead,

Debate centered over whether it was necessary as an axiom,

Or whether it was a theory that could be derived from other axioms.

Around 1830,

Though,

The Hungarian Janos Bollië and the Russian Nikolai Ivanovich Lobachevsky separately published treatises on a type of geometry that does not include the parallel postulate called hyperbolic geometry.

In this geometry,

An infinite number of parallel lines pass through the point P.

Consequently,

The sums of angles in a triangle is less than 180 degrees,

And the ratio of a circle's circumference to its diameter is greater than pi.

In the 1850s,

Bernard Riemann developed an equivalent theory of elliptical geometry,

In which no parallel lines pass through P.

In this geometry,

Triangles have more than 180 degrees,

And circles have a ratio of circumference to diameter that is less than pi.

Gauss and Poincaré Although there was a prevailing Kantian consensus at the time,

Once non-Euclidean geometries had been formalized,

Some began to wonder whether or not physical space is curved.

Karl Friedrich Gauss,

A German mathematician,

Was the first to consider an empirical investigation of the geometrical structure of space.

He thought of making a test of the sum of the angles of an enormous stellar triangle,

And there are reports that he actually carried out a test on a small scale by triangulating mountaintops in Germany.

Henri Poincaré,

A French mathematician and physicist of the late 19th century,

Introduced an important insight,

In which he attempted to demonstrate the futility of any attempt to discover which geometry applies to space by experiment.

He considered the predicament that would face scientists if they were confined to the surface of an imaginary large sphere with particular properties,

Known as a sphere world.

In this world,

The temperature is taken to vary in such a way that all objects expand and contract in similar proportions in different places on the sphere.

With a suitable fall-off in temperature,

If the scientists try to use measuring rods to determine the sum of the angles in a triangle,

They can be deceived into thinking that they inhabit a plane rather than a spherical surface.

In fact,

The scientists cannot in principle determine whether they inhabit a plane or a sphere,

And Poincaré argued the same is true for the debate over whether real space is Euclidean or not.

For him,

Which geometry was used to describe space was a matter of convention.

Since Euclidean geometry is simpler than non-Euclidean geometry,

He assumed the former would always be used to describe the true geometry of the world.

Einstein In 1905,

Albert Einstein published his special theory of relativity,

Which led to the concept that space and time can be viewed as a single construct known as spacetime.

In this theory,

The speed of light in a vacuum is the same for all observers,

Which has the result that two events that appear simultaneous to one in particular observer will not be simultaneous to another observer if the observers are moving with respect to one another.

Moreover,

An observer will measure a moving clock to tick more slowly than one that is stationary with respect to them,

And objects are measured to be shortened in the direction that they are moving with respect to the observer.

Subsequently,

Einstein worked on a general theory of relativity,

Which is a theory of how gravity interacts with spacetime.

Instead of viewing gravity as a force field acting in spacetime,

Einstein suggested that it modifies the geometric structure of spacetime itself.

According to the general theory,

Time goes more slowly at places with lower gravitational potentials and rays of light bend in the presence of a gravitational field.

Scientists have studied the behavior of binary pulsars,

Confirming the predictions of Einstein's theories,

And non-Euclidean geometry is usually used to describe spacetime.

Mathematics In modern mathematics,

Spaces are defined as sets with some added structure.

They are frequently described as different types of manifolds,

Which are spaces that locally approximate to the Euclidean space,

And where the properties are defined largely on local connectedness of points that lie on the manifold.

There are,

However,

Many diverse mathematical objects that are called spaces.

For example,

Vector spaces such as function spaces may have infinite numbers of independent dimensions and a notion of distance very different from Euclidean space,

And topological spaces replace the concept of distance with a more abstract idea of nearness.

Physics Space is one of the few fundamental quantities in physics,

Meaning that it cannot be defined via other quantities because nothing more fundamental is known at the present.

On the other hand,

It can be related to other fundamental quantities.

Thus,

Similar to other fundamental quantities,

Like time and mass,

Space can be explored via measurement and experiment.

Today our three-dimensional space is viewed as embedded in a four-dimensional spacetime called Minkowski space.

The idea behind spacetime is that time is hyperbolic orthogonal to each of the three spatial dimensions.

Relativity Before Einstein's work on relativistic physics,

Time and space were viewed as independent dimensions.

Einstein's discoveries showed that due to relativity of motion,

Our space and time can be mathematically combined into one object spacetime.

It turns out that distances in space or in time separately are not invariant with respect to Lorentz coordinate transformations,

But distances in Minkowski spacetime along spacetime intervals are which justifies the name.

In addition,

Time and space dimensions should not be viewed as exactly equivalent in Minkowski spacetime.

One can freely move in space but not in time.

Thus,

Time and space coordinates are treated differently both in special relativity,

Where time is sometimes considered an imaginary coordinate,

And in general relativity,

Where different signs are assigned to time and space components of spacetime metric.

Furthermore,

In Einstein's general theory of relativity,

It is postulated that spacetime is geometrically distorted,

Curved,

Near to gravitational significant masses.

One consequence of this postulate which follows from the equations of general relativity is a prediction of moving ripples of spacetime called gravitational waves.

While indirect evidence for these waves has been found in the motions of the Hulse-Taylor binary system,

For example,

Experiments attempting to directly measure these waves are ongoing at the LIGO and Virgo collaborations.

LIGO scientists reported the first such direct observation of gravitational waves on 14 September 2015.

Cosmology Relativity theory leads to the cosmological question of what shape the universe is and where space came from.

It appears that space was created in the Big Bang 13.

8 billion years ago and has been expanding ever since.

The overall shape of space is not known,

But space is known to be expanding very rapidly due to the cosmic inflation.

Spatial measurement The measurement of physical space has long been important.

Although earlier societies had developed measuring systems,

The International System of Units – SI – is now the most common system of units used in the measuring of space and is almost universally used.

Currently,

The standard space interval,

Called a standard meter or simply meter,

Is defined as the distance traveled by light in a vacuum during a time interval of exactly 1 to 299,

792,

458 of a second.

This definition,

Coupled with the present definition of the second,

Is based on the special theory of relativity in which the speed of light plays the role of a fundamental constant of nature.

Geographical space Geography is the branch of science concerned with identifying and describing places on Earth,

Utilizing spatial awareness to try to understand why things exist in specific locations.

Cartography is the mapping of spaces to allow better navigation,

For visualization purposes,

And act as a locational device.

Geostatistics apply statistical concepts to collected spatial data of Earth to create an estimate for unobserved phenomena.

Geographical space is often considered as land and can have a relation to ownership usage in which space is seen as property or territory.

While some cultures assert the rights of the individual in terms of ownership,

Other cultures will identify with a communal approach to land ownership,

While still other cultures such as Australian Aboriginals,

Rather than asserting ownership rights to land,

Invert the relationship and consider that they are in fact owned by the land.

Spatial planning is a method of regulating the use of space at land level,

With decisions made at regional,

National,

And international levels.

Space can also have an impact on human and cultural behavior,

Being an important factor in architecture,

Where it will impact on the design of buildings and structures and on farming.

Ownership of space is not restricted to land.

Ownership of airspace and of waters is decided internationally.

Other forms of ownership have been recently asserted to other spaces,

For example to the radio bands of the electromagnetic spectrum or to cyberspace.

Public space is a term used to define areas of land as collectively owned by the community and managed in their name by delegated bodies.

Such spaces are open to all while private property is the land culturally owned by an individual or company for their own use and pleasure.

Such space is a term used in geography to refer to a hypothetical space characterized by complete homogeneity.

When modeling activity or behavior,

It is a conceptual tool used to limit extraneous variables such as terrain.

In psychology,

Psychologists first began to study the way space is perceived in the middle of the 19th century.

Those now concerned with such studies regard it as a distinct branch of psychology.

Psychologists analyzing the perception of space are concerned with how recognition of an object's physical appearance or its interactions are perceived,

See for example visual space.

Other more specialized topics studied include a modal perception and object permanence.

The perception of surroundings is important due to its necessary relevance to survival,

Especially with regards to hunting and self-preservation,

As well as simply one's idea of personal space.

Several space-related phobias have been identified including agoraphobia,

The fear of open spaces,

Astrophobia,

The fear of celestial space,

And claustrophobia,

The fear of enclosed spaces.

The understanding of three-dimensional space in humans is thought to be learned during infancy using unconscious inference and is closely related to hand-eye coordination.

The visual ability to perceive the world in three dimensions is called depth perception.

In the social sciences.

Space has been studied in the social sciences from the perspectives of Marxism,

Feminism,

Postmodernism,

Postcolonialism,

Urban theory,

And critical geography.

These theories account for the effect of the history of colonialism,

Transatlantic slavery and globalization on our understanding and experience of space in place.

These theories account for the effect of the history of colonialism,

Transatlantic slavery,

And globalization on our understanding and experience of space and place.

The topic has garnered attention since the 1980s after the publication of Henri Lafarge's The Production of Space.

In this book,

Lafarge applies Marxist ideas about the production of commodities and accumulation of capital to discuss space as a social product.

His focus is on the multiple and overlapping social processes that produce space.

In his book,

The Condition of Postmodernity,

David Harvey describes what he terms the time-space compression.

This is the effect of technological advances in capitalism on our perception of time,

Space,

And distance.

Changes in the modes of production and consumption of capital affect and are affected by developments in transportation and technology.

These advances create relationships across time and space,

New markets and groups of wealthy elites and urban centers,

All of which annihilate distances and affect our perception of linearity and distance.

In his book,

Third Space,

Edward Soha describes space and spatiality as an integral and neglected aspect of what he calls the tri-electrics of being,

The three modes that determine how we inhabit,

Experience,

And understand the world.

He argues that critical theories in the humanities and social sciences study the historical and social dimensions of our lived experience neglecting the spatial dimension.

He builds on Henri Lefebvre's work to address the dualistic way in which humans understand space as either material physical or as represented imagined.

Lefarbvre's Lived Space and Soha's Third Space are terms that account for the complex ways in which humans understand and navigate place,

Which first space and second space,

Soha's terms for material and imagined spaces respectively,

Do not fully encompass.

Post-colonial theorist Homi Bhabha's concept of third space is different from Soha's third space,

Even though both terms offer a way to think outside the terms of binary logic.

Bhabha's third space is the space in which hybrid cultural forms and identities exist.

In his theories,

The term hybrid describes new cultural forms that emerge through the interaction between colonizer and colonized.

Reviews

I love this! Superb! If I could make a suggestion, it would be too slow down. Speaking very slowly can be very hypnotic. Thanks so much for making these.

“Space - the last frontier “ Ben, I really like your channel. You have put me to sleep many a night! May I say, that 30 minutes or less works better for me, because I usually stay asleep 😴, when they are much longer I awaken and have trouble getting back to sleep. But that’s just me. AND You must be a genius by now, reading all these articles!!

Your whole suite of stories and its intent to be boring is literally brilliant!
I'm semi interested in the actual story but I love how boring it is.
It's also kind of funny because some people actually explain things in this way.
Love it!

Amazing!! Sleep came after 5 minutes in outer space! Thank you!!!

I

Definitely not boring. But definitely soothing :)

Very interesting! I'd love to hear more about animals! Thank you!

Please read more about space, stars, the Cosmos, universe etc 🙏🏻✨🌞 it’s magical and I am learning lots.

Interesting yet so lulled me to sleep. Thank you. Perfect when I have just had enough of all the guided sleep meditations.

very informative and interesting!

So good to listen to right before sleep

this was amazing to listen to .. it did help me sleep.