The purpose here is, assuming the feasibility of the existence of right handed mirror matter existing in right handed space, and the existence of gravitational charge, to examine the valid combinations of charged pair creation from the vacuum.

For purposes of this analysis charged particles can be limited to 4 characteristics:

T - Type: Matter or Antimatter (M or A)
C - Charge: positive or negative (+, -)
G - Gravitational charge, (+i or -i)
H - Handedness: L (normal matter), R (mirror matter)

For now we will ignore neutral particles which can periodically morph handedness and result in weak matter/mirror-matter coupling.

We can now see each particle type can be identified by a 4-tuple of the form:

   (T,C,G,H)

If a tuple entry is designated T,C,G, or H, then the opposite characteristic can be designated correspondingly, T', C', G' or H'. A tuple with exactly the opposite characteristics of (T,C,G,H) is thus (T',C',G',H').

Let us assume charge and gravitational charge must be conserved for any pair creation. Further, since we observe an anti-particle creation for each charged particle creation, and mirror scientists must observe a similar phenomenon, we know that if one species of particle having handedness characteristic H is created, there must simultaneously be created an anti-particle also having characteristic H. We thus have the following possibilities for matter/anti-matter pair creation, if charged particles can indeed be created from the vacuum in pairs and not quartets:

   (T,C=f(T),G,H), (T',C=f(T'),G',H)

Here f(T) is a function unique to each charged particle type, which matches charges to correspond with type, e.g. electron (-) with matter, positron (+) with antimatter, proton (+) with anti-proton (-), etc. Since the mapping of f always preserves a 1-1 correspondence between choices of T and C, we can therefore eliminate C from our tuple when considering possible cases. This leaves the 3- tuple:

(T,G,H)

To describe the feasible combinations of characteristics for particle creation. We now can describe valid pair creation as:

(T,G,H), (T',G',H)

This gives 8 possible classifications of pair creation

(M,+i,L), (A,-i,L)
(A,+i,L), (M,-i,L)
(M,-i,L), (A,+i,L) *
(A,-i,L), (M,+i,L) *

(M,+i,R), (A,-i,R)
(A,+i,R), (M,-i,R)
(M,-i,R), (A,+i,R) *
(A,-i,R), (M,+i,R) *

However, we can ignore pair order, so the duplicates, marked with an asterisk above can be eliminated, leaving the following 4 combinations:

(M,+i,L), (A,-i,L)
(A,+i,L), (M,-i,L)

(M,+i,R), (A,-i,R)
(A,+i,R), (M,-i,R)

This leaves all feasible possibilities for particle types:


(M,+i,L),
(A,-i,L),
(A,+i,L),
(M,-i,L),
(M,+i,R),
(A,-i,R),
(A,+i,R),
(M,-i,R)

Out of the above, assuming each tuple has equal probability of existance, ordinary matter (M,+i,L) constitutes only 1/8 of the matter in the Universe.

However, suppose this matter is being generated from the vacuum by a black hole that has -i gravitational charge. All the particles having -i gravitational charge will be absorbed into the black hole, increasing its mass. This leaves the following particle types being ejected at high velocity:

(M,+i,L),
(A,+i,L),
(M,+i,R),
(A,+i,R)

If the local universe consists of one black hole then it consists of half dark energy hidden in the black hole, consisting of the following particle types:

(A,-i,L),
(M,-i,L),
(A,-i,R),
(M,-i,R)

It is of interest here that, even if the -i gravitational charges could be extracted from the other characteristics, and they were annihilated, the mass charges would remain in the black hole.

Of the remaining matter not in the black hole, half is mirror matter, and thus dark matter with with attractive gravitational charge. A quarter is ordinary matter, and a quarter is anti-matter. This doesn't answer the question as to why antimatter is not around in a quantity equivalent to mirror matter, so is likely not consistent with an actual genesis of the universe.

One solution to this problem is to assume antimatter has -i gravitational charge, and the initial genesis process did not come from a black hole, but rather the repellant -i and +i gravitational charges were created in an essentially uniform manner. This answers both why the big bang was not a black hole, and where all the missing antimatter went - it went to the edge of the universe.

This then leaves only 4 types of matter:

(M,+i,L), ordinary matter
(A,-i,L), ordinary antimatter, dark energy, but isolated gravitationally
(M,+i,R), mirror matter (dark matter with ordinary gravity)
(A,-i,R), mirror antimatter, dark energy, but isolated gravitationally

If each has equal probability, then this leaves the universe as 1/4 ordinary matter, 1/4 dark matter around us, and 1/2 dark energy, the dark energy located mainly remotely, but also flowing from ordinary black holes, especially at the centers of galaxies.


However, suppose handedness must be conserved, say to preserve angular momentum. We then have the necessity that, in a genesis transaction with the vacuum, particles must be created in quartets of the form:

(T1,G=f(T1),H), (T1',G'=f(T1'),H), (T2,G2=f(T2),H'), (T2',G2'=f(T2'),H')

which is combinatorially equivalent to:

(T1,H), (T1',H), (T2,H'), (T2',H')


This, without respect for order, produces a single combination for quartet production.

(M,H), (A,H), (M,H'), (A,H')

This quartet production scheme then can preserve the balance of all 4 selected charged particle characteristics,

T - Type: Matter or Antimatter (M or A)
C - Charge: positive or negative (+, -)
G - Gravitational charge, (+i or -i)
H - Handedness: L (normal matter), R (mirror matter)

A similar quartet arrangement can be found by assuming that all mirror matter has negative gravitational mass. This was in fact the premise in the original gravimagnetics paper:

http://mtaonline.net/~hheffner/FullGravimag.pdf

Negative gravitational mass (charge -i) mirror matter was there named "cosmic matter".

It is reasonable to expect there is a weighted probability of viable pair and quartet production, depending on particle type (constituent quarks, etc.) which affects the final fractions of ordinary matter, dark matter, and dark energy.

Best regards,

Horace Heffner
http://www.mtaonline.net/~hheffner/




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