```html Cosmological Investigations on Superfluid Spacetime Theory - Research Program Notes
Daniele Corradetti research • writing • digital art

Cosmological Investigations on Superfluid Spacetime Theory

Research Program Notes - January 9, 2017

Index

  1. The superfluid nature of spacetime
    • Superfluid equations
    • Turbulence in superfluids and quantized vortices
    • Relativistic quantized vortices and string theory
    • Origins of spacetime superfluidity
  2. Applications to contemporary cosmology
    • Two problems in cosmology
    • Foundations of contemporary cosmology
    • A revisitation of dark energy
    • Dark matter and superfluid dynamics
  3. Energy, spacetime and information
    • Energy and information
    • Spacetime, holographic principle and information
  4. Universal cavitation
    • Vinen equation
    • Cosmological equations in quantum turbulence
    • Astronomical observations
  5. Universal evolution

Introduction

The present work aims to be a first mathematical translation of the cosmological vision outlined in some writings by A. Benassai [1, 2] that originate from the distant 1991 and arrive up to 2017. Synthetically, we can try to summarize some characteristic elements of the cosmological-cosmogonic theory in the following points:

  1. A circumscribed Universe with spacetime comparable to a superfluid;
  2. Energy is capable of influencing and modifying the geometry of spacetime;
  3. There is a strict relationship between energy-matter, information and consciousness (panpsychic hypothesis);
  4. The formation of matter and galactic structures starting from a kind of Universal Cavitation;
  5. A Universe evolving toward a purpose and well-determined hierarchical structure.

From a contemporary science perspective, many of these points have been or are still the subject of investigation, while some are still very far from being able to be studied scientifically with the mathematical and physical tools currently available. Apart from the second, all points constitute frontier hypotheses and do not belong to mainstream research, although they are not divorced from it.

Throughout the treatment, unless explicitly specified, we consider $\hbar = c = 1$ and use the metric $(-1,1,1,1)$.

The Superfluid Nature of Spacetime

A superfluid is a fluid that possesses a total absence of viscosity. This means that the kinetic energy, or rather the movements of the fluid, do not undergo dispersion and that vortices formed in the fluid continue permanently. The idea that spacetime...

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