I voted YES, for reasons I have posted in the past.
Within the expansion function, is an embedded expansion of time itself.
And the role of time in the existence of our expanding universe
can be better understood by examination of this time series.
(Here is what can be shown about time)
This is an analysis of time itself, based a MacLaurin time series expansion.
Definition of MacLaurin series.... http://en.wikipedia.org/wiki/Taylor_series
Defining time as:
Time=ln(e^t)=t
This is quite redundant, but valid.
(e^t) expressed as a MacLaurin series (a valid expansion of this function)
(e^t)= 1+t+(t^2/2!)+(t^3/3!)+(t^4/4!)+(t^5/5!)+(t^6/6!)+....+(t^N/N!)
Now before the linear transformation(natural log) is used to define time itself,
we must understand more about the expression e^t,
and to do this we must understand what this series is saying in the language of the universe.
SYMBOLS
Any expansion of any function (primarily with TWO or more unknowns), [TAYLOR]
the symbols (= and +) must be read as 'contains' and 'union' respectively.(subset[set])
However this is an expansion of a function with only ONE unknown, [MacLaurin]
and as such the symbols (= and +) have duality in meaning and function, there is a choice.
With the (ONE unknown) function....(e^t)= 1+t+(t^2/2!)+(t^3/3!)+(t^4/4!)+(t^5/5!)+(t^6/6!)+....+(t^N/N!)
the symbols (= and +) may be read as 'contains' and 'union' respectively.(subset[set])
AND the symbols (= and +) may be read as 'equal to' and 'plus' respectively,(arithmetic).
To test validity(so far), evaluate both sides with SAME VALUE of 't',
solve and add together each domain to the right of the equate
solve e^t, then compare results........
Waiting........waiting........waiting........waiti ng........waiting........waiting........OK?
As you carry out domain solving into the higher dimension, (since this series converges toward zero)
Did you note the individual higher dimensional DOMAINS contribute less and less to the overall summated value?
(thank you, you have just proved MacLaurin is a valid expansion of this function, e^t)
Valid (so far).........
The series may also be perceived as 'the union of multidimensional time domains', and this is the view we should analyze...
from the NULL set(1) through N dimensional time(t^N/N!) domain...the series reads 'UNION of ALL SUBSETS(domains) OF TIME'
We can now conclude the series has Subsets in the form (t^N/N!),
AND Each point in each subset(N) has the form (t^N/N!).
IE...subsets contains points of time, but the points themselves are multidimensional
Example: subset(N=3) contains ONLY points in the form (t^3/6), this subset contains three dimensional time points
subset(N=1) contains ONLY points in the form (t), this subset IS linear time, which could be measurable with clocks
Valid(so far)........
NOW, do the valid linear transformation:
This view states TIME itself is the natural log of the UNION of SUBSETS CONTAINING MULTIDIMENSIONAL TIME,
and this view is NOW validly mapped to the definition of TIME itself.
Despite the peculiarity of this statement, it is valid....
This now presents a serious problem for any future plans of mankind to 'time travel'.
To facilitate time travel, Mankind may need to generate an 'instant' delta-TIME throughout ALL OF TIME.
But space-time, universal expansion, is a TAYLOR series..(like a MacLaurin series, with domain coefficients NOT equal to one)
The function for Universal expansion is a polynomial function.
This means we MUST have the mathematical tools
to solve an Nth degree polynomial.......(at least a sixth degree)
So far, we only have the tools to solve 2nd degree polynomials..(called the Quadratic Formula).
Therefore, I believe ‘time travel’ will probably not happen in my lifetime.
(Here is the part that causes me trouble, my opinion)
HOWEVER, I must inject that it has already occurred ACCIDENTALLY with disastrous results
Please verify in Yahoo Search (or any search engine of the web) these subjects
"USS Eldridge" and "the Philadelphia experiment"
here's a link to start http://www.crystalinks.com/phila.html
This data is only recently declassified and NOW available,
use other links and What you will find:
In short, a failed attempt, by the Navy and Einstein at light bending,
for stealth and NON-detection, 'hiding' from German submarines during WWII.
A failed experiment that produced a real hiccup in the 'normal' flow of time for the USS Eldridge and crew.
Now that you know about the existence of multidimensional time, have you concluded what happened here?
For the Eldridge and crew, the enormous generated magnetic field
(product of acceleration domain, a 5 dimensional time domain, within the function of expansion),
produced a momentary mapping of the molecular structure of ship AND crew to points in 5 dimensional time.
Thus producing temporary relocation of ship and crew from Philadelphia harbor back to Norfolk, Va.
harbor where the ship was previously moored several days early.(eye witnesses saw this occur)
Turning off the field, the ship 'rematerialized' back in Philadelphia harbor. (eye witnesses saw this occur)
The rematerialization left the molecular structure of most of the topside crew,
merged with the molecular structure of the Eldridge. Many of the crew were found dead.
Others went insane. The rest were short-lived survivors that hours later phased in and out of linear time,
effectively disappearing and reappearing in front of many eye witnesses, in Philadelphia AND in Norfolk.
NOW WOULD BE THE TIME FOR VERIFICATION of what I have just stated here.
Please do not take this matter in faith, NEVER take anything in faith, please verify EVERTHING
Even if this experiment failed as an effective defense device,
IMHO, I believe it was our first documented experiment in time travel,
and because of our current ignorance of time itself,
Mankind should not pursue this venture of time travel……
Happy Thougths…..Q7