"Re-birth" is the re-arising of self-view after the traumatic "death" of a previous self-identity. For arahants, there is no birth & no death therefore the question about what happens after "death" ("marana") is irrelevant. But for non-arahants, "death" ("marana") still occurs. When self-view is still capable of arising, then a new birth will happen after death. Whenever attachment arises, there will be both birth & death, as follows:
Seeing danger in clinging, in the coming-into-play of birth & death, they are released from lack of clinging, in the ending of
birth & death. They, happy, arriving at safety, fully unbound in the
here-&-now,
MN 130
In summary, the word "marana" ("death") does not refer to something "physical", as shown in the quotes below:
21. Heedfulness is the path to the Deathless. Heedlessness is the path to death. The heedful die not. The heedless are as if dead
already
Dhammapada
Bhikkhu, ‘I am’ is a conceiving; ‘I am this’ is a conceiving; ‘I shall be’ is a conceiving; ‘I shall not be’ is a conceiving; ‘I shall
be possessed of form’ is a conceiving; ‘I shall be formless’ is a
conceiving; ‘I shall be percipient’ is a conceiving; ‘I shall be
non-percipient’ is a conceiving; ‘I shall be
neither-percipient-nor-non-percipient’ is a conceiving. Conceiving is
a disease, conceiving is a tumour, conceiving is a dart. By overcoming
all conceivings, bhikkhu, one is called a sage at peace. And the sage
at peace is not born, does not age, does not die; he is not shaken and
does not yearn. For there is nothing present in him by which he might
be born. Not being born, how could he age? Not ageing, how could he
die? Not dying, how could he be shaken? Not being shaken, why should
he yearn?
MN 140
SN 12.66 say unambiguously the cause of "death" is "attachment" or "acquisition".
As he explores he understands thus: ‘The many diverse kinds of suffering that arise in the world headed by aging-and-death: this
suffering has acquisition as its source, acquisition as its origin; it
is born and produced from acquisition
SN 12.66
In Buddhism, "a being" ("satta") is merely an "idea" or "view", as follows:
Why now do you assume 'a being'? Mara, have you grasped a view? This is a heap of sheer constructions: Here no being is found.
Just as, with an assemblage of parts, The word 'chariot' is used, So, when the aggregates are present, There's the convention 'a being.'
SN 5.10
"Death" ("marana") refers to the death of "a being", which is merely an idea or "self-view", as follows:
And what, bhikkhus, is aging-and-death? The aging of the various beings in the various orders of beings, their growing old, brokenness
of teeth, greyness of hair, wrinkling of skin, decline of vitality,
degeneration of the faculties: this is called aging. The passing away
of the various beings from the various orders of beings, their
perishing, breakup, disappearance, mortality, death, completion of
time, the breakup of the aggregates, the laying down of the carcass:
this is called death. Thus this aging and this death are together
called aging-and-death.
SN 12.2