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DAA.MATTER, MASS, ENERGY
Phenomenon #Space (PS) and Abstract #Space (AS)
NOTE: neologies defined in GLOSSARY are marked "[G]".
Let us shortly review the concepts of Phenomenon #Space (PS)
and Abstract #Space (AS)[G]. PS encompasses Events[G] or
Aspects[G] of Phenomena[G]. AS is an abstract structure.
PS may be considered as a unique territory and AS - as a
particular map. A common error consists in confusing PS with
AS by saying, for instance, that Special Relativity
postulates Events to happen in Minkowski's 4 dimensional
LightTime-Space #Space. Events happen in PS which is Model
independent and are mapped to Minkowski's #Space AS. A Model
such as SR associates PS with a particular AS, meaning that
Events of PS are expected to map into pertinent (consistent,
predictable and falsifiable) structures of AS.
Mass and Energy
Mass never appears in PS which encompasses only observable
Events such as force, displacement, temperature, speed,
acceleration etc. Having observed and measured force F acting
on body[G] B and acceleration A of B, we insert their values
into AS postulating their proportionality and express this
postulate by associating with B an abstract coefficient
m (Mass): m(B) = F/A. Consequently, Mass has no phenomenal
sense (it does not appear anywhere in PS), but is an abstract
mind's construct, a coefficient allowing to order Events of
PS in pertinent structures of AS.
Now, within the Model we refer to Mass FOR SIMPLICITY's SAKE
as if it were a phenomenal Aspect of B and say that B has the
Mass m(B). It is indeed much simpler to say (in SR) that for
an external observer m(B) increases with v(B) (relative speed
of B) rather than, that the ratio of force acting on B to the
acceleration of B increases with v(B). It's ok and advisable
to talk about Mass ALWAYS WITHIN THE MODEL as if it were a
phenomenal Aspect of bodies, as long as we do not forget that
it is an ABSTRACT ARTIFICE destined, as all mathematics, to
simplify Model's language and expressions. If we forget it,
we will lose understanding of the Model and intuitive
creativity with respect to modifying, or complementing it
with new types of Events.
The same holds for Energy, which has been also stated by
Feynman in a 1961 lecture:
“There is a fact, or if you wish, a law, governing natural
phenomena that are known to date. There is no known exception
to this law — it is exact so far we know. The law is called
conservation of energy; it states that there is a certain
quantity, which we call energy that does not change in
manifold changes which nature undergoes. That is a most
abstract idea, because it is a mathematical principle; it
says that there is a numerical quantity, which does not
change when something happens. It is not a description of
a mechanism, or anything concrete; it is just a strange fact
that we can calculate some number, and when we finish
watching nature go through her tricks and calculate the
number again, it is the same."
Consequently: MASS and ENERGY have no phenomenal sense (they
do not appear anywhere in PS). They are pure abstract
constructs appearing only in AS and destined to correlate
Events (elements of PS) in pertinent and simple way.
MATTER.
Singular Field
A singular field is described by equations which lose
validity at its singularity points. That's mathematical. In
physical practice they lose validity in the neighborhood of
singularity where field density exceeds some value and which
we shall call "Singularity Area". Now, "Matter" is a
metalanguage term denoting for simplicity's sake SINGULARITY
AREAS of the four known fundamental Fields (and eventual
other ones not yet known). It appears neither in PS nor in
any known AS, i.e. it has no phenomenal, nor abstract sense.
Scientifically speaking it does not mean anything at all.
In metalanguage of the General Relativity "Ponderable Matter"
designates a macroscopically lumped together Poisson-like
Field Singularity Area (see Appendix).
In the metalanguage of the Quantum Field Theory "Material"
Particle designates a microscopically considered Quantum
Singularity "packet" of Field.
"Mass" and "Energy" are abstract constructs having no
phenomenal sense. They appear in AS as coefficients helping
to map Events of PS in pertinently ordered structures.
Matter has no scientific meaning at all and is used as
metalanguage term to denote Singularity Areas of Fields.
Appendix
Quotation from DERIVATION OF GENERAL RELATIVITY, Steps 1, 2
For readers familiar with Tensor Calculus we recall
Einstein's Field Equation, which may be considered as GR's
equivalent of Poisson's equation:
R(/m,/n)-0.5g(/m,/n)R=-µT(/m,/n) EFE(Einstein's Field Equ.)
where
R(/m,/n): contracted Riemann Tensor
g(/m,/n): Metric Tensor
R: scalar R=g(m/,n/)R(/m,/n)
T(/m,/n): energy tensor of the "matter"
µ: constant related to Newton's gravity constant.
Left side of EFE represents the Field OR #Space in terms of
metric and curvature. This common representation shows the
homomorphism of both constructs which defines them as
P-Equivalent aspects of some basic Phenomenon (which we
called "Universe" in 1A INTRODUCTION TO RELATIVISTIC PHENOMENOLOGY).
In spite of being abstract constructs of Mind, Field and
#Space have full phenomenal sense secured by their
observable manifestations: force, speed; etc. for Field,
geometry for #Space.
Right side of EFE represents the "singularity term"
replacing Poisson's "matter" with its relativistic
equivalent, viz. energy, encompassing that of gravity and
of electro-magnetism.
