“The sequence of different positions of the same particle at different times forms a one-dimensional continuum in the four-dimensional space-time, which is called the world-line of the particle. All that physical experiments or observations can teach us refers to intersections of world-lines of different material particles, light-pulsations, etc., and how the course of the world-line is between these points of intersection is entirely irrelevant and outside the domain of physics. The system of intersecting world-lines can thus be twisted about at will, so long as no points of intersection are destroyed or created, and their order is not changed. It follows that the equations expressing the physical laws must be invariant for arbitrary transformations.”

— Willem de Sitter

Kosmos (1932), Above is Beginning Quote of the Last Chapter: Relativity and Modern Theories of the Universe -->

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Willem de Sitter 44

Dutch cosmologist 1872–1934

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“Minkowski… supposed that this fourth dimension of time was not detached from and independent of the three dimensions of space. He introduced a new four-dimensional space to which ordinary space contributed three dimensions, and time one; we may call it 'space-time'…. The succession of positions which a particle occupied in ordinary space at a succession of instants of time would be represented by a line in space-time; this he called the 'world-line' of the particle…. Newton's absolute space and absolute time fell out of science, and they carried much with them in their fall. First to go was the concept of simultaneity…. It now became necessary to find a way of treating gravitation which should not involve simultaneity. Einstein found through the medium of his 'Principle of Equivalence'.”

James Jeans (1877–1946) British mathematician and astronomer

The Growth of Physical Science (1947)

“This conscious self is only one aspect of our greater reality, however; the part that springs into earthknowing. It can be called the "focus personality," because through it we perceive our three-dimensional life. It contains within it, however, traces of the unknown or "source self" out of which it constantly emerges. The source self is the fountainhead of our present physical being, but it exists outside of that frame of reference. We are earth versions of ourselves, beautifully turned into corporal experience. Our known consciousness is filtered through perceptive mechanisms that are a part of what they perceive. We are the instruments through which we know the earth. In other terms, we are particles of energy, flowing from the source self into physical materialization. Each source self forms many such particles or "Aspect selves" that impinge upon three-dimensional reality, striking our space-time continuum. Others are not physical at all, but have their existence in completely different systems of reality. Each Aspect self is connected to the other, however, through the common experience of the source self, and can come to some degree to draw on the knowledge, abilities, and perceptions of the other Aspects. Psychologically, these other Aspects appear within the known self as personality traits, characteristics, and talents that are uniquely ours. The individual is the particle or focus personality, formed by the intersection of the unknown self with space and time. We can follow any of our traits or emotions back to this source self, or at least to a recognition of its existence.”

Jane Roberts (1929–1984) American Writer

Source: Adventures In Consciousness: An Introduction to Aspect Psychology (1975), pp.118-119

“The concepts which now prove to be fundamental to our understanding of nature—a space which is finite; a space which is empty, so that one point [of our 'material' world] differs from another solely in the properties of space itself; four-dimensional, seven- and more dimensional spaces; a space which for ever expands; a sequence of events which follows the laws of probability instead of the law of causation—or alternatively, a sequence of events which can only be fully and consistently described by going outside of space and time—all these concepts seem to my mind to be structures of pure thought, incapable of realisation in any sense which would properly be described as material.”

James Jeans book The Mysterious Universe

Source: The Mysterious Universe (1930), p. 122, 1937 ed.

“Any region of space-time that has no gravitating mass in its vicinity is uncurved, so that the geodesics here are straight lines, which means that particles move in straight courses at uniform speeds (Newton's first law). But the world-lines of planets, comets and terrestrial projectiles are geodesics in a region of space-time which is curved by the proximity of the sun or earth… No force of gravitation is… needed to impress curvature on world-lines; the curvature is inherent in the space…”

James Jeans (1877–1946) British mathematician and astronomer

The Growth of Physical Science (1947)

“The relation between us and God, between this world and His world presses for recognition, but the line of intersection is not self-evident.”

Karl Barth book The Epistle to the Romans

The Epistle to the Romans (1918; 1921)
Context: The known plane is God's creation, fallen out of its union with Him, and therefore the world of the flesh needing redemption, the world of men, and of time, and of things — our world. This known plane is intersected by another plane that is unknown — the world of the Father, of the Primal Creation, and of the final Redemption. The relation between us and God, between this world and His world presses for recognition, but the line of intersection is not self-evident. <!-- p. 29

“Light signals alone provide the metrical structure of the four-dimensional space-time continuum. The construction may be called light axioms.”

Hans Reichenbach (1891–1953) American philosopher

The Philosophy of Space and Time (1928, tr. 1957)

“A common habit of thought… is the idea that space is [a] simple receptacle in which bodies move around, with no two bodies present at the same point. …In modern quantum physics generally, and in the standard model of fundamental physics in particular, physical space appears as a far more flexible framework. Many kinds of particles can be present at the same point in space at the same time. Indeed, the primary ingredients of the standard model are not particles at all, but an abundance of quantum fields, each a complex object in itself, and all omnipresent.”

Frank Wilczek (1951) physicist

"Multiversality" (2013)

“I said, "…it is quantum fiction." The first line of the story is "Which came first, the observer or the particle?"”

Vanna Bonta (1958–2014) Italian-American writer, poet, inventor, actress, voice artist (1958-2014)

and it goes from there.
Vanna Bonta Talks About Quantum fiction: Author Interview (2007)

“The manner in which time and space are bound up with each other in the four-dimensional continuum is variable. It is difficult to express this variability of the cross-connections between space and time in simple language, and different interpretations of it are possible, corresponding to different mathematical transformations of the fundamental line-element, e. g. a different choice of the variable which we interpret as "time." Perhaps the best way we can express it is by saying that the solution of the field-equations of the theory of relativity shows that there is in the universe a tendency to change its scale, which at the present time results in an expansion, but may perhaps at other times become, or have been, a shrinking. This is true of the grand scale model of the universe.”

Willem de Sitter (1872–1934) Dutch cosmologist

Kosmos (1932), Above is Beginning Quote of the Last Chapter: Relativity and Modern Theories of the Universe -->

“No one, who knows what the difficulties are, now believes that the crisis of physics is likely to be resolved by any simple trick or modification of existing theories. Something radical is needed, and it will have to go far wider than physics. A new world outlook is being forged, but much experiment and argument will be needed before it can take a definitive form. It must be coherent, it must include and illuminate the new knowledge of fundamental particles and their complex fields, it must resolve the paradoxes of wave and particle, it must make the world inside the atom and the wide spaces of the universe equally intelligible. It must have a different dimension from all previous world views, and include in itself an explanation of development and the origin of new things. In this it will fall naturally in line with the converging tendencies of the biological and social sciences in which a regular pattern blends with their evolutionary history.”

John Desmond Bernal (1901–1971) British scientist

J.D. Bernal (1959/1969) Science in history Vol 3. p. 862; cited in: Ludwig von Bertalanffy (1968) General System Theory. p. 5-6

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Willem de Sitter 44

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