Meditation has been practiced for thousands of years by people like Yahshua, Buddha, Mohammed and even the ancient sages of India. According to NIH ( National Center for Complimentary and Integrative Health ) "Many studies have investigated meditation for different conditions, and there’s evidence that it may reduce blood pressure as well as symptoms of irritable bowel syndrome and flare-ups in people who have had ulcerative colitis. It may ease symptoms of anxiety and depression, and may help people with insomnia." It has been proven to reduce stress, control anxiety, promote emotional health, Enhance self-awareness, lengthen attention span, may reduce age related memory loss, can generate kindness, may HELP fight addictions and even improve sleep (Source: https://pubmed.ncbi.nlm.nih.gov/26445019/ ). Note: Always consult your physician first if you have physical or neurological medical conditions that at times may require medications.
Essential oil use for children is safe when used correctly. In particular when used on the skin is should always be diluted and you should have a conversation with your doctor before use first as some oils can cause blistering, allergic reaction and if ingested could be fatal. Essential oil are used in many products for children and adults such as lotions, bath products and even candles. According to Dr. Rachel Dawkins , M,D medical director of the Pediatric and Adolescent Medicine Clinics in the John Hopkins All Children's Department of Pediatric Medicines, "Studies have also shown some oils to have anti-inflammatory and disinfecting properties and some to have been known to reduce symptoms such as nausea, and vomiting related to surgery or chemotherapy". To determine the safest methods to use for your children we have included some sources.: https://www.hopkinsallchildrens.org/ACH-News/General-News/Are-Essential-Oils-Safe-for-Children, https://www.healthline.com/health/are-essential-oils-safe, https://www.medicalnewstoday.com/articles/322532#_noHeaderPrefixedContent, https://www.chop.edu/news/health-tip/how-aromatherapy-can-help-children, https://naha.org/index.php/explore-aromatherapy/safety
Although there has been limited to no research done on the effects of Aromatherapy for pets, just like humans care should be used and a consult with your vet is advised. Also as with humans topical application is not advised for some oils and the oils that are ok must and should be diluted. Since oils are derived from plants, as we know animals are very sensitive to some plants if ingested can cause gastrointestinal issues and even be fatal. Everything that may be ok with us does not apply to our furry friends, hence again consult your vet before considering any use.