Is consciousness moving at death to the next life?
No! Since
consciousness arise & cease right here, it cannot move anywhere!
It is not
continuous, but contiguous discrete mental states as pearls on a
string.
The prior
moment of consciousness contains the properties that conditions
the
arising of the next moment of consciousness! These inherent
properties are
mainly craving for (conscious) sensing & craving for
becoming anew into being.
If these cravings are present in the rebirth-linking moment of
consciousness,
then
the next
moment of consciousness will arise immediately after the death,
but now in another location and body, which qualities (or lack of)
also are all
conditioned by properties within the rebirth-linking moment of
consciousness...

Example:
If
ignorance is dominant in the rebirth-linking moment of
consciousness,
then an animal rebirth is to be expected. If harmonious peace
and
settled
mental calmness based on a long life of doing good are the dominant
factors
right in the
rebirth-linking moment of consciousness, then a divine deva
rebirth
is to be expected.
If anger, hostile enmity, envy and hate are
dominant
in the
rebirth-linking moment of
consciousness, a rebirth in hell is to
be expected...
So what
actually passes on is CAUSALITY: That is conditioning factors of
mental forces!
Nothing
more! No form, feeling, perception, construction, or
consciousness
passes on, or can ever endure from one moment to the next...
No "Self, I, Me, Body, Identity, or Ego" passes on, because they never
really
existed
in the first
place, so how can they ever then pass on?!?

The classic
example is the 2 candles:
Candle A is
in flame. (=Dying individuality)
This is then
used to light or ignite Candle B (=Reborn individuality).
By this very
ignition the flame of Candle A is extinguished...
Only candle
B is now burning: What now was passed on !-?-!
Is the flame
of Candle B now the SAME, as the flame of Candle A?
Not so. Candle B burns by its own flame, but it was turned on by
flame A!
Is the flame
of Candle B now DIFFERENT from the flame of Candle A?
Not really so either. Since Candle B started burning from the flame A!

What is
Reborn?: Neither the SAME individuality, nor ANOTHER!
What am 'I'
& 'Person'?: Neither the SAME nor ANOTHER!
Not a fixed
entity, but a streaming process of ever renewed
arisings and
ceasings of impersonal mental and physical states...
Just moments
of name-&-form passes on!
In brevity:
Question: What passes
on at death?
Answer:
The forces or streams of:
Ignorance, Greed, and Hate,
and
derivatives thereof, passes on at
death and also in every
moment of this life! One is reborn not only at death, but at
every conscious moment of
this endless life cycle itself also...
Re-arising rebirth occurs
billions of times per second!
Neither as the same, nor as another...

Reincarnation Research
https://www.youtube.com/watch?v=luoDNRbsl4E
https://What-Buddha-Said.net/drops/V/Reincarnation_Research.htm
Regarding
Buddhist Theory of Rebirth-Linking (patisandhi) see also:
https://What-Buddha-Said.net/library/DPPN/wtb/n_r/patisandhi.htm

Kamma and Rebirth: Nyanatiloka Thera:
https://What-Buddha-Said.net/library/Wheels/wh394.pdf

Enjoy
further details on Rebirth here:
https://What-Buddha-Said.net/drops/Rebirth.htm
https://What-Buddha-Said.net/drops/IV/Rare_Rebirth.htm
https://What-Buddha-Said.net/drops/IV/Divine_Rebirth.htm
https://What-Buddha-Said.net/drops/IV/Animal_Rebirth.htm
https://What-Buddha-Said.net/drops/IV/Samsaric_Dread.htm
https://What-Buddha-Said.net/drops/IV/The_Minor_Hells.htm
https://What-Buddha-Said.net/drops/IV/The_Hell_Destiny.htm
https://What-Buddha-Said.net/drops/IV/Five_Destinations.htm
https://What-Buddha-Said.net/drops/IV/The_5_Destinations.htm
https://What-Buddha-Said.net/drops/IV/Kamma_and_Rebirth.htm
https://What-Buddha-Said.net/drops/IV/The_Samsaric_Round.htm
https://What-Buddha-Said.net/drops/IV/Mad_Demon_Rebirth.htm
https://What-Buddha-Said.net/drops/IV/Human_Being_Rebirth.htm
https://What-Buddha-Said.net/drops/IV/Hungry_Ghost_Rebirth.htm
