**Physics Dept Seminar**

**March 10, Wednesday (**SPECIAL
DAY**)**

**A
Non-relativistic Theory of Quantum Mechanics and Gravity with Local Modulus
Symmetry**

**Prof. Tao Zhou**

Dept.
of Physics, NJIT

(Quantum
Mechanics & General Relativity, Host: Sirenko)

***Special Time: 2pm-3pm with 1:50pm virtual
tea time**

***Webex Meeting ID: 120 620 5353**

***Password: check
email or request from kenahn@njit.edu**

A non-relativistic theory of quantum mechanics
and gravity is constructed based upon two assumptions: quantum system is invariant
to local modulus transformation of its wave function, and physical laws reduce
to those of conventional quantum mechanics in small enough region. Imposing
local modulus symmetry brings a number of changes, including the replacement of
wave function’s complex conjugate by a new scalar function with the same phase
but different modulus, and particle momentum operator built on covariant
derivative, with a purely imaginary velocity field that is identified as the
gravitational escape velocity. Three quantum metric functions are introduced to
signify the kinematic change of quantum state brought by gravity, and their
relation to the escape velocity field are found. Equation of motion and field
equation that are covariant to local modulus transformation are constructed.
New features in these equations offer potential mechanisms for dark energy and
the quantum measurement problem. They also have implications for the mechanism
of inflation in the early universe, dark matter, as well as the arrow of time
problem.