There are two basic concepts through which
we may better understand the relativistic
interval measurements:

(1) The principle of inseparability between
relativistic interval measurement and
covarying scale has been
discovered.
The Lorentz Factor works as conversion ratio between the scale
of virtual covarying observational apparent measurement
and the scale of real invariant natural intrinsic entity.
This simple logic harmonizes improper and
proper interval measurements. It preserves
the spacetime invariance. It also conserves
causality between intrinsic natural entities
and apparent observational measurements.

(2) The Reciprocity has been
found necessary
between Lorentz Transformation and its
Inverse Transformation for the same event
viewing from two relative frames . Double applications of Lorentz
transformation from both relative frames
for the same event and double reverse
inferences caused paradoxes. The concept of
reciprocity resolves them, and also preserves
the principle of NO preferred frame.

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Although the unfortunate mismatch (as mentioned in Q&A above)between the reference frame and the necessary condition which leads to misinterpretation of the relativistic length contraction, the theory itself is OK. However, the section on relativistic length measurement in text books should be corrected to
match the necessary condition with the reference frame properly.

GRAVITY

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Gravitational Horizon.
With gravitational horizons of cousin universes in the Universe neighborhood, dark energy could be universal gravitational attractions among neighbor universes. Our Universe may not be alone.