103 citations · 232 across the 27 of their papers we have counts for
15 papers · 1 filter
Quantum field theory in quantum set algebra
David Ritz Finkelstein
A modular quantum architecture is given for the space-time, particles, and fields of the Standard Model and General Relativity. It assumes a right-handed neutrino, so that based on…
Quantum set algebra for quantum set theory
David Ritz Finkelstein
Quantum field theory can be physically regularized by modularizing it on several levels of aggregation. Since computation is already thoroughly modularized, physical experiments ar…
Nature as quantum computer
David Ritz Finkelstein
Set theory reduces all processes to assembly and disassembly. A similar architecture is proposed for nature as quantum computer. It resolves the classical space-time underlying Fey…
Palev Statistics and the Chronon
David Ritz Finkelstein
A finite relativistic quantum space-time is constructed. Its unit cell has Palev statistics defined by a spin representation of an orthogonal group. When the Standard Model and gen…
Recursive quantum gauge theory
David Ritz Finkelstein
Quantum gauge theories with finite-dimensional representation spaces are constructed that can have canonical gauge field theories as singular limits. They describe nature as a recu…
Finite Quantum Dynamics
David Ritz Finkelstein, Mohsen Shiri-Garakani
We general-quantize the dynamics of the quantum harmonic oscillator to obtain a covariant finite quantum dynamics in a finite quantum time. The usual central (``superselected'') ti…
General quantization
David Ritz Finkelstein
Segal's hypothesis that physical theories drift toward simple groups follows from a general quantum principle and suggests a general quantization process. I general-quantize the sc…
Elementary Operations
James Baugh, Andrei Galiautdinov, David Ritz Finkelstein +2
A Clifford algebra over the binary field 2 = {0,1} is a second-order classical logic that is substantially richer than Boolean algebra. We use it as a bridge to a Clifford algebrai…
Finite Quantum Kinematics of the Harmonic Oscillator
Mohsen Shiri-Garakani, David Ritz Finkelstein
Arbitrarily small changes in the commutation relations suffice to transform the usual singular quantum theories into regular quantum theories. This process is an extension of canon…
Quantum ground-mode computation with static gates
Giuseppe Castagnoli, David Ritz Finkelstein
We develop a computation model for solving Boolean networks by implementing wires through quantum ground-mode computation and gates through identities following from angular moment…
Quantum ground-state computation with static gates
Giuseppe Castagnoli, David Ritz Finkelstein
We develop a computation model for solving Boolean networks that implements wires through quantum ground-state computation and implements gates through identities following from an…
Quantum-Statistical Computation
Giuseppe Castagnoli, David Ritz Finkelstein
Systems of spin 1, such as triplet pairs of spin-1/2 fermions (like orthohydrogen nuclei) make useful three-terminal elements for quantum computation, and when interconnected by qu…
Theory of the Quantum Speed Up
Giuseppe Castagnoli, David Ritz Finkelstein
Insofar as quantum computation is faster than classical, it appears to be irreversible. In all quantum algorithms found so far the speed-up depends on the extra-dynamical irreversi…
Hypercrystalline vacua
David Ritz Finkelstein, Heinrich Saller, Zhong Tang
Let a quantum network be a Fermi-Dirac assembly of Fermi-Dirac assemblies of ...of quantum points, interpreted topologically. The simplest quantum-network vacuum modes with exact c…
Beneath Gauge
David Ritz Finkelstein, Heinrich Saller, Zhong Tang
Seeking a relativistic quantum infrastructure for gauge physics, we analyze spacetime into three levels of quantum aggregation analogous to atoms, bonds and crystals. Quantum space…