<s>
)	O
,	O
is	O
a	O
model	O
based	O
on	O
noncommutative	O
geometry	O
that	O
unifies	O
a	O
modified	O
form	O
of	O
general	O
relativity	O
with	O
the	O
Standard	B-General_Concept
Model	I-General_Concept
(	O
extended	O
with	O
right-handed	O
neutrinos	O
)	O
.	O
</s>
<s>
The	O
full	O
Lagrangian	O
(	O
in	O
Euclidean	O
signature	O
)	O
of	O
the	O
Standard	B-General_Concept
model	I-General_Concept
minimally	O
coupled	O
to	O
gravity	O
is	O
obtained	O
as	O
pure	O
gravity	O
over	O
that	O
product	O
space	O
.	O
</s>
<s>
It	O
is	O
worth	O
stressing	O
that	O
it	O
is	O
more	O
than	O
a	O
simple	O
reformation	O
of	O
the	O
Standard	B-General_Concept
Model	I-General_Concept
.	O
</s>
<s>
The	O
group	O
of	O
invariance	O
of	O
such	O
a	O
space	O
should	O
combine	O
the	O
group	O
of	O
invariance	O
of	O
general	O
relativity	O
with	O
,	O
the	O
group	O
of	O
maps	O
from	O
to	O
the	O
standard	B-General_Concept
model	I-General_Concept
gauge	O
group	O
.	O
</s>
<s>
The	O
Spectral	O
Standard	B-General_Concept
Model	I-General_Concept
takes	O
as	O
input	O
the	O
algebra	O
where	O
is	O
the	O
algebra	O
of	O
differentiable	O
functions	O
encoding	O
the	O
4-dimensional	O
manifold	O
and	O
is	O
a	O
finite	O
dimensional	O
algebra	O
encoding	O
the	O
symmetries	O
of	O
the	O
standard	B-General_Concept
model	I-General_Concept
.	O
</s>
<s>
One	O
year	O
later	O
,	O
experiments	O
in	O
Super-Kamiokande	O
and	O
Sudbury	O
Neutrino	O
Observatory	O
began	O
to	O
show	O
that	O
solar	O
and	O
atmospheric	O
neutrinos	O
change	O
flavors	O
and	O
therefore	O
are	O
massive	O
,	O
ruling	O
out	O
the	O
Spectral	O
Standard	B-General_Concept
Model	I-General_Concept
.	O
</s>
