FORM TRANSFORMATION AND DIMENSIONAL CONVERSION THEORY:

This study presents the Form Transformation Theory developed to explain universal matterenergy-entropy transformations. The fundamental equation of the theory: f(x,n) = xn , x, n ∈ ℝ (Set of Real Numbers) The theory mathematically models that matter undergoes dimensional transformation under the influence of pressure (P), gravitational force (G), temperature (T), and other forces. The dimension sequence is expressed as 3 → 2 → 1 → 0 → (−1). Core predictions: (1) Energy is absorbed during dimension loss (ΔE > 0), (2) Energy is released during dimension gain (ΔE < 0), (3) Entropy is proportional to dimension: S(+∞) → +∞, S(0) = 0, S(−∞) → −∞. Keywords: Form transformation, dimensional conversion, exponential function, energydimension relationship, entropy-dimension relationship, Bekenstein bound, holographic entropy

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-14
DOI
https://doi.org/10.5281/zenodo.19563188
Primary Topic
Statistical Mechanics and Entropy
Type
article
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article

FORM TRANSFORMATION AND DIMENSIONAL CONVERSION THEORY:

Hamdi Barut
Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
article

FORM TRANSFORMATION AND DIMENSIONAL CONVERSION THEORY:

Hamdi Barut
article en

Abstract

This study presents the Form Transformation Theory developed to explain universal matterenergy-entropy transformations. The fundamental equation of the theory: f(x,n) = xn , x, n ∈ ℝ (Set of Real Numbers) The theory mathematically models that matter undergoes dimensional transformation under the influence of pressure (P), gravitational force (G), temperature (T), and other forces. The dimension sequence is expressed as 3 → 2 → 1 → 0 → (−1). Core predictions: (1) Energy is absorbed during dimension loss (ΔE > 0), (2) Energy is released during dimension gain (ΔE < 0), (3) Entropy is proportional to dimension: S(+∞) → +∞, S(0) = 0, S(−∞) → −∞. Keywords: Form transformation, dimensional conversion, exponential function, energydimension relationship, entropy-dimension relationship, Bekenstein bound, holographic entropy

Zenodo (CERN European Organization for Nuclear Research)
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Statistical Mechanics and Entropy
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