Here is a concise, canonical Jain perspective on how karma binds and relates beings across species.

What to read (canonical sutras)

• Bondage of karma (bandha) and its nature

- Verse 8.2: The living being (jīva) with passions (kaṣāya) attracts and retains karmic particles (pudgala); this is bondage. — Original text: सकषायत्वाज्जीवः कर्मणो योग्यान्पुद्गलानादत्ते स बन्धः ॥ ८.२ ॥ — Meaning: The soul, when tainted by passions, attracts matter particles that bind as karma; this is bondage. - Verse 8.3: Bondage is fourfold—by nature, duration, fruition, and the amount of space (pradeśa). — Original text: प्रकृतिस्थित्यनुभवप्रदेशातद्विधयः ॥ ८.३ ॥ - Verse 8.4: There are eight kinds of nature-bondage (prakṛtibandha): jñānāvaraṇa, darśanāvaraṇa, vedanīya, mohanīya, āyuḥ, nāma, gotra, antarāya. — Original text: आद्यो ज्ञानदर्शनावरणवेदनीयमोहनीयायुर्नाम गोत्रान्तरायाः ॥ ८.४ ॥ — Meaning: The eight karmas obscure knowledge, perception, feelings; delude; determine life-span, name/body, lineage, and obstruct.

• How karma links beings across species

- The same karmic mechanics affect all living beings (humans, animals, plants, etc.) because karmas stick to the soul and ripen as rebirths in various forms. This is why Jain texts describe a wide, cross-species span of births and why ethical conduct toward every life form matters.

A simple, core takeaway

• Karma binds the soul through actions of mind, speech, and body.
• The bondage shapes which realm a being is reborn into and the form of its body, across species.
• Stoppage and shedding of karma come from right conduct and discipline; this is the path to liberation.

A related, widely cited principle for cross-species harmony

• Parasparopagraho Jīvānām (the motto of Jainism): Souls render service to one another; all life is interdependent.

— This expresses the practical consequence of karma theory: all beings are connected, and harming any life binds karma that affects all existence.

You can read more on these ideas here and here