RascalPuff's Blog

The mathematical definition for the 4th Dimension is also the geometric definition. In order to consider the geometric definition for the 4th Dimension we will first review the singularly scientific and formal definition for the Three recognized Dimensions of Space. Then we will consider the 4th Dimension's relationship if any, to Einstein's General Principle of Relativity and/or Newton's Gravitational Alternative.

The (only known; geometric; metrically spatial) definition for physical dimensions, begins with no dimensions whatsoever - specifically a geometric point. We will call it 'point zero ('0'). Any motion of point '0' will inevitably be at right angles from itself, and, any motion, at any speed, for any length of time, generates a One Dimensional Straight Line 'O' - 'A', of arbitrary length.

It cannot change its dimensional quality until it moves at right angles (90 degrees, perpendicular) from itself (again). Then it generates a Two Dimensional Plane 'A'- 'B'. When a Two Dimensional Plane ('A'-'B') moves at right angles to itself (yet a third time), it generates a Space and/or Solid 'B'-'C' of Three Dimensions.

The rule here is the right angle/perpendicular projection of each dimension from out of the preceding dimension.

Knowing; not speculating, that we are obliged by the laws of geometry, combined with Einstein's (allegedly 'acknowledged') proof that the entire physical Universe is 4-Dimensional: to find, observe and experience the physical as well as spatial Three Dimensions of Space moving at right angles from themselves. It demands without ambiguity or equivocation, that the entire recognized physical 3-Dimensional Universe of Space and Matter, must be and is moving at right angles from itself in one of two possible 4-Dimensional directions: that of overall 4-Dimensional contraction, where everything recognizable as 3-Dimensional, is constantly growing smaller (moving at right angles from all three of it's recognized dimensions)...

Or, the direction of overall 4-Dimensional expansion, where everything recognizable as 3-Dimensional, is constantly growing larger.

Do we see or measure - do we recognize - 3-Dimensional reality as moving at right angles from itself; shrinking ever-smaller with 4-Dimensional contraction, or, growing ever-larger with 4-Dimensional expansion?

“No, we do not observe or measure 3-Dimensional reality as 4-Dimensional. Obviously matter is not expanding. If the universe is made up of a number of disturbed areas, by now it would have spread indefinitely."

The Three recognized Dimensions Of Space must move at right angles from themselves - that is to say, expand, or, contract, in order to fulfill the only definition there is for any geometric or mathematical consideration of - or address to - a physically prevailing 4th Dimension...

Of which, in the meantime, prevails ubiquitously: we are abundantly reassured that Einstein left no doubt.

The formula is exactly as simple as it is inescapable. Einstein's GENERAL PRINCIPLE OF RELATIVITY equates gravity with acceleration. Einstein's 4th Dimension demands overall right-angle motion of the Three recognized Dimensions Of Space: in one of two possible 4-Dimensional directions (Overall expansion or overall contraction). Since objects do not fall 'upward' and away from 3-D Matter, this rules out overall 4-Dimensional contraction. Objects do fall 'downward' toward the center of 3-D Matter; therefore confirming by demonstration, in situ (as is): a physically (materially) expanding Universe. The unrecognized causal identity (the source) of the observed, measured, acknowledged, recognized spatially expanding universe.

The conclusion is without precedent - although it has many historically noted revolutionary counterparts and parallels, in the history of Western Science. Recognizing the four dimensional space time continuum as being gravity, and conversely, is and has been patently unavoidable since its remarkably progressive advent; for the reasons provided herein (Refer Illustrations 3 & 4)

The material as well as spatial Universe is 4-Dimensionally expanding; it is this 4-Dimensional accelerating expansion that generates the force experienced and recognized as gravity. Hence objects do not fall to earth; the earth - instead - accelerates upwardly and overtakes them (just as the floor does in Einstein's elevator).

Gravity is the 4-D space-time Dimension.

If anyone asks or demands from this point onward, that this statement must or need be proven, they are reminded that this has already been accomplished. By Einstein. And Newton. And the laws of mathematics and geometry at - by definition - their most fundamental, physically definitive level. We have simply taken Einstein's renowned accomplishments and recommendations seriously enough to actually apply-them-to and recognize-them-within, the human Gravitational Experience. The Question is no longer, 'What & Where is the 4th Dimension in my own experience?' Einstein proved that it is time and motion; applicable to: Everything; Everywhere. The Question regarding the 4th D. is: 'What & Where is it not?'
"I feel sure we have to return to the program which may be described properly as the Maxwellian - namely the description of physical reality in terms of fields without particles." - Albert Einstein, IDEAS & OPINIONS, p. 270


This means literally, that we are able to make a seemingly absurd prediction with complete confidence that it is not absurd - or even a prediction - at all, but rather an inevitability. That inevitability being that the fundamental material constituents of all apparently solid Universal Matter, i.e., neutrons, protons electrons and all other so-called 'sub-atomic particles', are not 3-Dimensionally static solids - billiard ball like 'particles' - at all, but rather, surfaceless electromagnetic charges without distinct boundaries: 4-Dimensionally accelerating fields.

Introducing an abbreviated but entirely accurate description of yet another proven and still unrecognized fact which furthermore categorically confirms that Matter is 4-Dimensionally expanding. The most popular sources include a renowned book on physics written by the late and eminent journalist-mathematician, J.W.N. Sullivan. It is very appropriately entitled, THE LIMITATIONS OF SCIENCE. On pages 100 and 101 of the hard cover edition of that title, the author is describing an experiment and discovery (entailing the controlled *bombardment of singular-atomic-thickness Gold plates/ filaments; *with subatomic particles); originally fulfilled by physicist, G.P. Thompson (Not to be confused with his father, J. J. Thompson who was the discoverer of the electron some decades earlier).

What G.P. Thompson did in 1937, was to overtly and experimentally discover and mathematically and repeatedly re-confirm that the ultimate physical constituents of matter - that is, neutrons, protons, and electrons - are not reducible to the anticipated microcosmic, 3-dimensional ‘particles’ having specifically defined boundary-surfaces; discontinuous from surrounding space. Instead, G.P. Thompson, discovered that neutrons, protons and electrons are microcosmic charges of undulating electric field energy - 'charges' ('disturbed areas'), having no definite boundary surfaces whatsoever separating them from their surrounding space.

Because of the outcome of G.P. Thompson's original experiment and many other related experiments since then, physical science today formally recognizes, acknowledges, and categorically states, that two or more physical entities - be they individual neutrons, protons or electrons, or billiard balls in collision: do not actually touch or contact one another.

The subjective term touch', and even the objective term 'contact' directly imply and require one surface meeting another surface. We observe that apparently solid 3-Dimensional substance has apparently discontinuous surfaces, therefore we intelligently - but in this case incorrectly - assume that all solid material substance including that of our own bodies, is ultimately constituted-of and reducible-to solid 3-D particles; also having specifically defined surface-boundaries, discontinuous from surrounding space. G.P. Thompson's original discovery that there are only charges of electricity which somehow influence each other at-a-distance-across space, evoked the following commentary from Lord Bertrand Russell:
"No two particles of matter ever come into *contact.
When they get too close, they move off".
- p.126 THE ABC OF RELATIVITY.