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LP

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LP

Published: Jan 24, 2022

The wave-function parametrization is so important because it allows us to define mathematically a general probability measure for an infinite number of random variables. This renders Bayesian inference as a general and theoretically grounded framework for Machine Learning.

LP

Published: May 29, 2022

LP

Published: Nov 05, 2021

Definition of a class of statistical field theories where the probability distribution of the infinite-dimensional phase-space is mathematically defined by a wave-function in a Fock-space, allowing Hamiltonians which are non-polynomial in the fields.

LP

Published: May 29, 2022

Definitions of Quantum Yang-Mills, Quantum Gravity and Classical Statistical Field Theory, with gauge symmetries through algebraic ideals.

LP

Published: Jul 14, 2021

Introduction to the book "Timepiece: Mathematical inconsistencies of Statistical Field Theory and its consequences for Quantum Mechanics and Machine Learning".

LP

Published: Sep 22, 2021

Prologue of the book "Quantization due to time-evolution".

LP

Published: Nov 13, 2021

We show that any conditional probability measure in a standard measure space is parametrized by a unitary operator on a separable Hilbert space. We propose unitary inference, a generalization of Bayesian inference. We study implications for classical statistical mechanics.

LP

Published: Apr 29, 2022

Definition of Quantum Yang-Mills and Classical Statistical Field Theory, with gauge symmetries through algebraic ideals.

LP

Published: Apr 07, 2022

On the real representations of the Poincare group and the relativistic position operator

LP

Published: May 23, 2022

The (classical) canonical coordinates when modified by a non-deterministic time evolution, verify the canonical commutation relations.

LP

Published: Sep 17, 2022

In Bayesian inference there is always a prior probability distribution, and there is no prior which is better for all cases: we always have to make assumptions. This has profound implications for the concepts of consciousness, and extraterrestrial and artificial intelligences.

LP

Published: Oct 05, 2022

We show that the classical dynamical system x'=x^3 has a non-deterministic time-evolution and we argue that for most real-world cases the so-called general solution with a singularity is not valid.

LP

Published: Apr 13, 2023

We show that the wave-function parametrization allows to implement gauge symmetries as exact constraints in a standard probability space without attributing to the constrained space null-measure. The wave-function parametrization of classical dissipative dynamics is also studied.

LP

Published: May 12, 2023

Using the simple fact described in the title, we prove the existence of a computational problem with implications to Machine Learning, Quantum Mechanics and Complexity Theory. We also prove P!=NP, but this claim still needs to be reviewed by experts in Complexity Theory.

LP

Published: Apr 13, 2023

We show that the classical initial value problem x'=x^2 has a continuous solution for all time, when the initial x has any finite amount of uncertainties (which is unavoidable in engineering). This is in stark contrast with the singular solution when x has no uncertainties.

LP

Published: May 13, 2023

We show that a unitary quantum time-evolution defines the random sampling of an irreversible deterministic time-evolution. The coexistence of time-symmetric laws of physics and an arrow of time, is due to unitarity and not entropy. We also study the baryon asymmetry.

LP

Published: Sep 21, 2023

We show that the alignment problem in deep learning can be separated in two: A) estimate systematic uncertainties as in Engineering; B) new due to Big Data, how to randomly sample computable models from a set of Bayesian models, almost all uncomputable. Deep neural nets solve B).

LP

Published: Oct 15, 2023

LP

Published: Oct 13, 2023

Cloud Computing Services with the universality of the climate protection

LP

Published: Mar 17, 2024

Payment system using taler.net in the Attribution's market, complementing copyright licenses. Disputes between prices result in donations to the United Nations Carbon offset platform. These donations stabilize the value of a digital coin, ec0.in.

LP

Published: Apr 10, 2024

A familly or a small organization are easy pray for increasingly sofisticated and manipulative AI software.