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Concept of introverted space: is extroverted, multidimensional space an illusion?

Ingo Steinbach

TL;DR

The paper reframes space as an introverted, network-like construct within the quantum-phase-field framework, unifying masses and spaces as energy-positive nodes and energy-negative edges connected by a doublon. It introduces a renormalization procedure to produce discrete objects from a continuum theory and derives a Casimir-like negative space energy $E_I = -\alpha \frac{h c}{48 \Omega_I}$ that drives gravitational attraction as a wave phenomenon. By separating micro and macro contributions, it recovers Newtonian gravity at medium to large scales via $f_I^{\mathrm{macro}} = G \frac{m^2}{\Omega_I^2}\left[1 - \frac{\Omega_I}{\bar{\Omega}}\right]$ and predicts repulsion beyond a marginal distance $\bar{\Omega}$, with $\bar{\Omega} \approx GM^u/c^2$. The framework implies energy neutrality, yields a closed network of doublons, and argues that multidimensional continuum space is an emergent, brain-constructed illusion rather than a fundamental substrate, potentially affecting cosmological interpretations of gravity and expansion.

Abstract

The quantum-phase-field concept of matter is revisited with special emphasis on the introverted view of space. Extroverted space surrounds physical objects, while introverted space lies in between physical objects. Space between objects leads to a network structure of matter: a network in which one-dimensional space filaments connect massive elementary particles. Missing quantum fluctuations in the finite space filaments are interpreted as `gravitons,' the exchange particles of gravitational attraction between elementary particles.

Concept of introverted space: is extroverted, multidimensional space an illusion?

TL;DR

The paper reframes space as an introverted, network-like construct within the quantum-phase-field framework, unifying masses and spaces as energy-positive nodes and energy-negative edges connected by a doublon. It introduces a renormalization procedure to produce discrete objects from a continuum theory and derives a Casimir-like negative space energy that drives gravitational attraction as a wave phenomenon. By separating micro and macro contributions, it recovers Newtonian gravity at medium to large scales via and predicts repulsion beyond a marginal distance , with . The framework implies energy neutrality, yields a closed network of doublons, and argues that multidimensional continuum space is an emergent, brain-constructed illusion rather than a fundamental substrate, potentially affecting cosmological interpretations of gravity and expansion.

Abstract

The quantum-phase-field concept of matter is revisited with special emphasis on the introverted view of space. Extroverted space surrounds physical objects, while introverted space lies in between physical objects. Space between objects leads to a network structure of matter: a network in which one-dimensional space filaments connect massive elementary particles. Missing quantum fluctuations in the finite space filaments are interpreted as `gravitons,' the exchange particles of gravitational attraction between elementary particles.
Paper Structure (7 sections, 23 equations, 2 figures)

This paper contains 7 sections, 23 equations, 2 figures.

Figures (2)

  • Figure 1: Left: particles placed in space like billiard balls on a table. Right: particles and spaces as a network. Particles connect spaces (the line segments between the balls), and spaces connect particles. Note: The example on the left is 2D space (the table) and 3D billiard balls with finite volume; This is meant to be generalized to a network with point masses (nodes) and the coloured 1D spaces (edges), right figure.
  • Figure 2: Two doublons in a periodic setting. Each doublon is formed by a right-moving and a left-moving soliton. The velocity is proportional to the energy difference between adjacent doublons. The relative distance $\Omega_{12} = s_1-s_2$ corresponds the length of the edges of the network.