Paper Series: Shift-symmetry in Einstein’s Universe

An unusual "take" on relativity theory, the series examines Einstein’s
universe in terms of symmetry relations.
Part I – Introduction
Shift-symmetry in Einstein’s universe: Einstein’s quest for mathematical
perfection
http://dx.doi.org/10.13140/RG.2.2.33448.34566
Einstein's special relativity has the unique set of relativistic
equations required for velocity-symmetry, perfect energy-conservation,
the absence of round-trip gravitational redshifts, and time-symmetry.
All of these things are interrelated.
If any ONE of these properties is considered necessary, then all of them
are compulsory, special relativity MUST have the correct set of
fundamental equations for inertial physics, and gravitational theory
MUST physically reduce to the SR equations.
Conversely, if any one of these properties is wrong, then ALL of them
must be wrong, and we must rewrite the basics of modern physics theory,
including thermodynamics.
Since the community do not consider it likely that ANY of these things
could be wrong, much less ALL of them, SR is generally considered to be
“safe”, and the SR-centric nature of Einstein’s general theory is
considered unavoidable and necessary.
Part A
Shift Symmetry in Einstein's Universe: A: Doppler Symmetry
http://dx.doi.org/10.13140/RG.2.2.22102.01602
In Einstein’s universe, the basic Doppler relationships are symmetrical
with respect to velocity. This behaviour is incompatible with
gravitomagnetism and gravitational waves. It is also incompatible with
relativistic gravitation and the general principle of relativity, as
these require gravitomagnetism.
Part B
Shift Symmetry in Einstein's Universe: B: Gravity
http://dx.doi.org/10.13140/RG.2.2.28398.38726
Gravitational shift-symmetry in Einstein’s universe requires curvature
horizons to be absolute horizons rather than relative. The resulting
event horizons are incompatible with wider relativistic principles,
local physics, and classical and quantum theory.
Part C
Shift Symmetry in Einstein's Universe: C: Time-symmetry
http://dx.doi.org/10.13140/RG.2.2.15379.66081
Time-symmetry is assumed to be a basic feature of theoretical physics,
even though timeflow in real life has an obvious forward bias. Despite
Eddington's characterisation of classical theory as symmetrical,
Newtonian physics was time-asymmetrical, and time-asymmetry is also
required for gravitomagnetism, relativistic gravitation and general
relativity. Gravitational wave behaviour also requires thermal systems
to be constantly radiating away energy, breaking Einstein's
energy-accounting, and creating a thermodynamic bias towards
exothermicity in forward time. Feynman's statistical arguments are
discussed.
Part D
Shift Symmetry in Einstein's Universe: D: Cosmology
http://dx.doi.org/10.13140/RG.2.2.11760.06401
This paper addresses the incompatibilities between modern cosmology and
Einstein’s assumed symmetries of Doppler shifts, gravitational shifts
and timeflow.
Enjoy,
Eric Baird