Constructibility of the Universal Wave Function

Vitaly Kuyukov

Space-time and universal wave function

Ramesh Chandra Bagadi

In this research monograph, the author has presented the notion of the ‘Universal Wave Function Of The Universe’, as an example, in Pure Verbose Form. One can distill the Primality {of all three types: namely Verbal Primality, Act(ion) Recursion Primality, Sense Understanding and/ or Perception Primalit}) of this form (text) and can consequently construct the Recursion Scheme of the afore-desired Universal Wave Function Of The Universe.

Yasushi Takahashi

Marlina Slamet, Xiao‐Yin Pan, Viraht Sahni

Jia‐Wei Mei, Xiao-Gang Wen

We implement the universal wave-function overlap (UWFO) method to extract modular $S$ and $T$ matrices for topological orders in Gutzwiller-projected parton wave functions (GPWFs). The modular $S$ and $T$ matrices generate a projective representation of $SL(2,\mathbb{Z})$ on the degenerate-ground-state Hilbert space on a torus and may fully characterize the 2+1D topological orders, i.e., the quasiparticle statistics and chiral central charge (up to ${E}_{8}$ bosonic quantum Hall states). We use the variational Monte Carlo method to computed the $S$ and $T$ matrices of the chiral spin liquid (CSL) constructed by the GPWF on the square lattice, and we confirm that the CSL carries the same topological order as the $\ensuremath{\nu}=\frac{1}{2}$ bosonic Laughlin state. We find that the nonuniversal exponents in the UWFO can be small, and direct numerical computation can be applied on relatively large systems. The UWFO may be a powerful method to calculate the topological order in GPWFs.

Richard A. Morrow