A Minimal Framework for Space, Energy, and Emergence
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| Formato: | Recurso digital |
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2026
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| _version_ | 1866901603480502272 |
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| author | Bak, Byeong-gyu |
| author_facet | Bak, Byeong-gyu |
| contents | <p>We propose a minimal axiomatic framework in which physical reality</p> <p>emerges from two primitive notions: space, defined as an arbitrarily exten-</p> <p>sible vector space, and energy, defined as a discretized scalar quantity con-</p> <p>strained within that space. Vibration is defined not as temporal oscillation</p> <p>but as the enumeration of all possible energy distributions over a given spa-</p> <p>tial domain. We introduce a pre-temporal regime in which energy and space</p> <p>are independent, and define time as the periodicity of patterns arising from</p> <p>constrained energy distributions. Movement rules are specified such that en-</p> <p>ergy quanta may traverse only adjacent lattice sites within a given dimension,</p> <p>while non-adjacent transitions require the introduction of auxiliary dimen-</p> <p>sions. Collision events are treated as threshold phenomena governed by a</p> <p>single continuous function, whose critical values determine whether energy</p> <p>aggregates, redistributes, or becomes spatially bound. This framework is in-</p> <p>tended as a conceptual scaffold for future formalization and simulation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19204643 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Minimal Framework for Space, Energy, and Emergence Bak, Byeong-gyu <p>We propose a minimal axiomatic framework in which physical reality</p> <p>emerges from two primitive notions: space, defined as an arbitrarily exten-</p> <p>sible vector space, and energy, defined as a discretized scalar quantity con-</p> <p>strained within that space. Vibration is defined not as temporal oscillation</p> <p>but as the enumeration of all possible energy distributions over a given spa-</p> <p>tial domain. We introduce a pre-temporal regime in which energy and space</p> <p>are independent, and define time as the periodicity of patterns arising from</p> <p>constrained energy distributions. Movement rules are specified such that en-</p> <p>ergy quanta may traverse only adjacent lattice sites within a given dimension,</p> <p>while non-adjacent transitions require the introduction of auxiliary dimen-</p> <p>sions. Collision events are treated as threshold phenomena governed by a</p> <p>single continuous function, whose critical values determine whether energy</p> <p>aggregates, redistributes, or becomes spatially bound. This framework is in-</p> <p>tended as a conceptual scaffold for future formalization and simulation.</p> |
| title | A Minimal Framework for Space, Energy, and Emergence |
| url | https://doi.org/10.5281/zenodo.19204643 |