Panspatial Chirality and Directional Closure FCHP Geometry, Biological Homochirality and a Test of Universal Handedness

If life’s handedness is inherited from a globally coherent directional geometry, independent biospheres should not choose their chirality independently. The corresponding laboratory precursor is a search for orientation-dependent chiral chemistry. From directional geometry to biological inheritance. The proposed architecture separates direction-sensitive FCHP geometry, an orientation-dependent chiral bias, chemical amplification, biological network closure, and heritable homochirality. Why Should Life Pick One Hand? Life is chiral, but that familiar statement hides two different questions. One asks why living chemistry becomes strongly stereochemically organized. The other asks why one orientation wins rather than its mirror. A system can become nearly homochiral through spontaneous symmetry breaking and amplification while remaining unbiased across many independent realizations. Homochirality therefore does not, by itself, imply a universal preference. This paper asks whether a weak orientation-sensitive structure could sit upstream of chemistry. FCHP supplies a candidate directional geometry; prebiotic chemistry supplies amplification; biological networks supply compatibility and heredity; and astrobiology supplies repeated independent tests. The proposal is deliberately layered: no step is assumed to follow automatically from the previous one. geometry → chiral seed → chemical amplification → biological closure → independent-biosphere prediction The key discriminator is recurrence. If homochirality is a local historical choice, independent origins may choose opposite hands. If one globally coherent directional structure biases the seed, independent origins should tend to occupy the same relational chiral orientation class. Biological homochirality is usually treated as a consequence of local symmetry breaking followed by chemical and evolutionary amplification. Under that picture, independently originated biospheres need not choose the same handedness. This paper considers a stronger alternative motivated by Finsler Coherence Hyperfractal Phaspace (FCHP): a direction-dependent geometry may contain a weak but globally coherent orientation bias that precedes chemistry and is subsequently amplified by prebiotic reaction networks and biological heredity. A Finsler-like structure is represented schematically by F(x,v). Directional nonreversibility, F(x,v)≠F(x,−v), is kept distinct from a specifically parity-sensitive chiral functional, 𝔠_F(x,v)=F(x,v)−F(x,𝒫v). Three regimes are distinguished: achiral geometry, regional sign-changing bias, and a panspatial constant-sign orientation. The strongest prediction is not merely that life should be homochiral, but that genuinely independent biospheres should occupy the same relational chiral orientation class. A near-term laboratory test compares enantiomeric excess in opposite orientations through D(n)=ee(n)−ee(−n), while magnetic, optical, hydrodynamic, thermal, material, and apparatus reversals isolate conventional causes. A long-term astrobiological test compares relational chirality among independently originated biospheres. Opposite relational chirality in two convincingly independent origins falsifies the simplest universal-sign model. Keywords FCHP; Finsler geometry; biological homochirality; chirality; relational chirality; Panspatial Genesis; prebiotic chemistry; astrobiology; enantiomeric excess; directional anisotropy; chiral amplification; holonomy; origins of life; symmetry breaking; extraterrestrial life.