The quantum-to-classical transition, precipitated by the entanglement of a critical number of fermions, is responsible for the emergence of classical spacetime, and also for the familiar formulation of quantum theory on a spacetime background. The condensed matter community has, for some time now, observed emergent phenomena that look very much like the high energy phenomena that we see around us. Coupling constants of the standard model result from left-right symmetry breaking, and their values are theoretically determined by the characteristic equation of the exceptional Jordan algebra of the octonions. This latter interaction is possibly the theoretical origin of MOND. One of the hottest new ideas in physics is that gravity is an emergent phenomena that it somehow arises from the complex interaction of simpler things. Specifically, the emergence of a curved spacetime 'effective Lorentzian geometry' is a common generic result of linearizing a classical scalar field theory around some. The split bioctonions define a sixteen dimensional space (with left-right symmetry) whose geometry (evolving in Connes time) relates to the four known fundamental forces, while predicting two new forces, $SU(3)_$. In this essay we marshal evidence suggesting that Einstein gravity may be an emergent phenomenon, one that is not 'fundamental' but rather is an almost automatic low-energy long-distance consequence of a wide class of theories.
Vacuum spacetime emerges in the ground state and. There are strong reasons to believe that the gravitational interaction described in terms of a metric on a smooth spacetime is an emergent, long wavelength phenomenon, like elasticity. The aim of this program is to demonstrate that space-time and gravity are emergent phenomena, which originate from the collective behavior of underlying quantum.
The ingredients for constructing such a theory, which is also a unification of the standard model with gravitation, are : (i) the pre-quantum theory of trace dynamics – a matrix-valued Lagrangian dynamics, (ii) the spectral action principle of non-commutative geometry, (iii) the number system known as the octonions, for constructing a non-commutative manifold and for defining elementary particles via Clifford algebras, (iv) a Lagrangian with $E_8 \times E_8$ symmetry. Entropic gravity theories propose that spacetime and gravity emerge from quantum information entanglements. The octonionic theory proposes such a reformulation, leading to a pre-quantum pre-spacetime theory. There must exist a reformulation of quantum field theory, even at low energies, which does not depend on classical time.
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